Question: A train 200 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?\nOptions:\n(A) 32\n(B) 28\n(C) 40\n(D) 27\n(E) 21

Answer: (C)


Question: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40\nOptions:\n(A) 23\n(B) 25\n(C) 40\n(D) 46\n(E) 48

Answer: (C)

The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong.


Question: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40\nOptions:\n(A) 13\n(B) 18\n(C) 40\n(D) 37\n(E) 40

Answer: (C)

The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong.


Question: Twenty five percent of Country Y's yearly exports come from fruit exports. One-fifth of all fruit exports from Country Y are orange exports. If country Y generates $10 million from its orange exports, how much money does it generate from its yearly total of exports?\nOptions:\n(A) $2125m\n(B) $25m\n(C) $200m\n(D) $300m\n(E) $153m

Answer: (C)


Question: At a meeting of the 3 Joint Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the 3 Chiefs of Staff be seated around a circular table?\nOptions:\n(A) 120\n(B) 480\n(C) 960\n(D) 2520\n(E) 5040

Answer: (C)

Bunuel, I'm also a little confused with the number of arrangements of n distinct objects in a circle. Why is it given by (n-1)!. In theveritasanswer they say:answer C (960), should be the number of ways to arrange all 7 without the seating restriction given. Is this incorrect?


Question: What is the maximum number of pieces of birthday cake of size 5” by 5” that can be cut from a cake 15” by 15”?\nOptions:\n(A) 5\n(B) 10\n(C) 16\n(D) 20\n(E) 9

Answer: (E)

The prompt is essentially asking for the maximum number of 5 x 5 squares that can be cut from a larger 15 by 15 square. Since each 'row' and each 'column' of the larger square can be sub-divided into 3 'pieces' each, we have (3)(3) = 9 total smaller squares (at maximum).


Question: There are 3 teams each with 8 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?\nOptions:\n(A) 50\n(B) 23\n(C) 192\n(D) 28\n(E) 45

Answer: (C)

There are altogether three arrangements, which are we can select two members each from team A and B, each from team A and C, and each from team B and C. For each arrangement, there are altogether 64 possibilities (8*8) since each team has 8 players. So there are a total of 192 possibilities (64*3). I hope this method is easier for you to understand.


Question: The price of a T.V. set worth Rs. 40000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?\nOptions:\n(A) 22678\n(B) 26699\n(C) 26788\n(D) 19000\n(E) 39000

Answer: (E)

Money paid in cash = Rs. 1000\nBalance payment = (40000 - 1000) = Rs. 39000


Question: Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?\nOptions:\n(A) 10\n(B) 12\n(C) 7\n(D) 8\n(E) 9

Answer: (A)

This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.


Question: John makes $40 a week from his job. He earns a raise and now makes $60 a week. What is the % increase?\nOptions:\n(A) 16%\n(B) 16.66%\n(C) 18%\n(D) 21%\n(E) 50%

Answer: (E)


Question: A dragon has 100 heads. A soldier can cut off 15, 17, 20 or 5 heads, respectively with one blow of his sword. In each of these cases, 24, 2, 14, 17 new heads grow on its shoulders. If all heads are cut off, the dragon dies. Can the dragon ever die?\nOptions:\n(A) 61\n(B) 3\n(C) 5\n(D) 6\n(E) 1

Answer: (B)

Here the difference in the cutoff heads and newly grown heads is 3. 100 is not divisible by 3. The dragon never die.


Question: How many terminating zeroes R does 200! have?\nOptions:\n(A)  40\n(B)  48\n(C)  49\n(D)  55\n(E)  64

Answer: (C)

You have 40 multiples of 5, 8 of 25 and 1 of 125. This will give 49 zeros.


Question: An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 3 transportation stocks, and 4 utility stocks, how many different combinations of 7 stocks are possible?\n--\nOptions:\n(A) 180\n(B) 19\n(C) 60\n(D) 12\n(E) 720

Answer: (A)


Question: What is the are of an equilateral triangle of side 2 cm?\nOptions:\n(A) √3\n(B) 64√9\n(C) 64√4\n(D) 64√3\n(E) 64√2

Answer: (A)

Area of an equilateral triangle = √3/4 S2\nIf S = 2, Area of triangle = √3/4 * 2 * 2 = √3 cm2;


Question: A boy runs 200 metres in 30 seconds. What is his speed ?\nOptions:\n(A) 20 km/hr\n(B) 24 km/hr\n(C) 30 km/hr\n(D) 32 km/hr\n(E) 34 km/hr

Answer: (B)


Question: The no. of girls in a class are seven times the no. of boys, which value can neverbe the of total students?\nOptions:\n(A) 4\n(B) 5\n(C) 8\n(D) 10\n(E) 12

Answer: (C)

Let the boys are X, then girls are 7X, total = X+7X = 8X\nSo it should be multiple of 8, 30 is not a multiple of 8.


Question: A bus travels k miles in n hours. How many miles will it travel in x hours at the same rate?\nOptions:\n(A) knx\n(B) k⁄n\n(C) x\n(D) kx⁄n\n(E) kn⁄x

Answer: (D)

Given Speed = k/n\nTo Find distance in x hours with same speed\nDistance = speed * time\nDistance = k/n*x = kx/n


Question: Anil can do a work in 12 days while Sunil can do it in 25 days. How long will they take if both work together?\nOptions:\n(A) 10 1/10 days\n(B) 18 1/10 days\n(C) 7 1/10 days\n(D) 8 1/10 days\n(E) 9 1/10 days

Answer: (D)


Question: There are different 45 circles. What is the number of the greatest possible points with which the circles intersect?\nOptions:\n(A) 1950\n(B) 2000\n(C) 1980\n(D) 1580\n(E) 2600

Answer: (C)

Maximum points of intersection between n different circles = n*(n - 1) = 45*44 = 1980


Question: A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 87. How many points altogether did the team score?\nOptions:\n(A) 686\n(B) 672\n(C) 652\n(D) 642\n(E) 721

Answer: (A)


Question: One copy machine can make 15 copies a minute, and a second copy machine makes 10 copies a minute. If the two copiers work together, how long would it take them to make 1,000 copies?\nOptions:\n(A) 20 minutes\n(B) 30 minutes\n(C) 40 minutes\n(D) 50 minutes\n(E) 60 minutes

Answer: (C)

Total work done by both machines in a minute = 15 + 10 = 25 copies\nTotal number of copies required = 1000\nTime = 1000/25 = 40 mins


Question: A number is said to be prime saturated if the product of all the different positive prime factors of n is less than the square root of n. What is the greatest two digit prime saturated integer ?\nOptions:\n(A) 99\n(B) 98\n(C) 97\n(D) 96\n(E) 95

Answer: (D)

A prime factors are 3 and 11. 33<sqrt(99)? no\nB prime factors are 2 and 7. 14<sqrt(98)? no\nC prime number. its sqrt is never greater than itself\nD A prime factors are 2 and 6. 6<sqrt(96)? yes\nE prime factors are 5 and 19. 45<sqrt(95)? no


Question: If the three-digit number 5W2 is evenly divisible by 8, which of the following could be the digit W ?\nOptions:\n(A) 5\n(B) 4\n(C) 3\n(D) 2\n(E) 1

Answer: (A)

Tried to locate a '0' ending multiple of 8 between 500599\nOnly 560 is present\n560 is divisible by 8, so (560 - 8) is also divisible by 8 = 5


Question: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000?\nOptions:\n(A) Rs.81000\n(B) Rs.80000\n(C) Rs.75000\n(D) Rs.64000\n(E) Rs.68000

Answer: (A)


Question: Find the smallest number which should be divided with 3872 to make it a perfect square.\nOptions:\n(A) 8\n(B) 6\n(C) 2\n(D) 4\n(E) 1

Answer: (C)

3872 = 11*11*2*2*2*2*2\nRequired smallest number = 2\n2 is the smallest number which should be divided with 3872 to make it a perfect square.


Question: Two trains are moving at 60 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?\nOptions:\n(A) 6 12/13 sec\n(B) 7 1/7 sec\n(C) 7 2/2 sec\n(D) 8 1/2 sec\n(E) 7 1/9 sec

Answer: (A)


Question: There are 20 balls in a jar. You take out 2 blue balls without putting them back inside, and now the probability of pulling out a blue ball is 1/5. How many blue balls were there in the beginning?\nOptions:\n(A) 12.\n(B) 9.\n(C) 8.\n(D) 7.\n(E) 6.

Answer: (A)


Question: The average of 11 results is 53, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?\nOptions:\n(A) A) 46\n(B) B) 23\n(C) C) 66\n(D) D) 76\n(E) E) 74

Answer: (B)


Question: People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, white and yellow. This pattern continues (red, green, blue, white and yellow) until it ends with a blue shirt. If there are more than 5 people in line, which of the following cannot be the number of people in the line?\nOptions:\n(A) 27\n(B) 38\n(C) 53\n(D) 63\n(E) 78

Answer: (A)

The correct answer should not take the form: 5x + 3. Hence, it is


Question: A train 480 m in length crosses a telegraph post in 16 seconds. The speed of the train is?\nOptions:\n(A) 22 kmph\n(B) 108 kmph\n(C) 54 kmph\n(D) 71 kmph\n(E) 88 kmph

Answer: (B)


Question: Find the value of y from (12)^3 x 6^4÷432 =y?\nOptions:\n(A) 4363\n(B) 4765\n(C) 4879\n(D) 6789\n(E) 5184

Answer: (E)


Question: A 600 meter long train crosses a signal post in 60 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?\nOptions:\n(A) 4 min\n(B) 2 min\n(C) 6 min\n(D) 9 min\n(E) 5 min

Answer: (C)


Question: The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?\nOptions:\n(A) 11\n(B) 12\n(C) 30\n(D) 98\n(E) 15

Answer: (C)


Question: A small company employs 5 men and 3 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 women?\nOptions:\n(A)  1/14\n(B)  1/7\n(C)  2/7\n(D) 1/2\n(E)  3/7

Answer: (E)

Total ways to choose 4 employees from 8 employees = 8C4\nTwo women = 3C2\nTwo Men = 5C2\nP = (5C2 * 3C2)/8C2 = 3/7 hence


Question: Right triangle PQR is the base of the prism in the figure above. If PQ=PR=âˆš5 and the height of the prism is 10, what is the volume of the prism?\nOptions:\n(A) 5\n(B) 10\n(C) 15\n(D) 20\n(E) 25

Answer: (E)

Volume of prism = Area of base * height = 1/2* (square root of 5) * (square root of 5)*10 = 25


Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?\nOptions:\n(A) 2435\n(B) 1243\n(C) 1509\n(D) 3456\n(E) 5184

Answer: (E)


Question: A sells a Cricket Bat to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays $234 for it, the cost price of the Cricket Bat for A is:\nOptions:\n(A) 156\n(B) 120\n(C) 130\n(D) 160\n(E) 210

Answer: (A)


Question: The average age of a family of 6 members is 28 years.If the age of the youngest member is 7 years,what was the average age of the family at the birth of the youngest member?\nOptions:\n(A) 15\n(B) 18\n(C) 21\n(D) 12\n(E) 19

Answer: (C)

Present age of total members = 6 X 28 = 168\n7 yrs back their ages were = 6 x 7 = 42\nAges at the birth of youngest member = 168 - 42 = 126\nTherefore, avg age at the birth of youngest member = 126/6 = 21.


Question: The average age of 11 boys is 50, if the average age of first six boys is 49 and that of the last six is 52. Find the boy age?\nOptions:\n(A) 48\n(B) 50\n(C) 56\n(D) 62\n(E) 64

Answer: (C)


Question: in how many ways can six members be selected from a group of ten members?\nOptions:\n(A) 10C6\n(B) 10C4\n(C) 10C9\n(D) 10C2\n(E) 10C1

Answer: (B)

Six members can be selected from ten members in\n10C6 = 10C4 ways.


Question: a certain organization has three committees. only two persons are members of all committees, but every pair of committees have three members in common. what is the least possible no of member of members on any one committee?\nOptions:\n(A) 4\n(B) 5\n(C) 6\n(D) 7\n(E) 8

Answer: (A)

Total 4 members minimum required to serve only on one committee.


Question: There are 11 person among whom 2 are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1 person sit between the brothers, is equal to?\nOptions:\n(A) 4!*2!\n(B) 7!*2!\n(C) 6!*1!\n(D) 2!*1!\n(E) 8!*2!

Answer: (E)


Question: a, b, c, and d are positive integers where a is a factor of b and c is a factor of d. Which of the following is NOT necessarily an integer?\nOptions:\n(A) (ac) /(bd) \n(B) (bd) /(ac) \n(C) (bcd) /a\n(D) d/c + b/a\n(E) (a + b) d/c

Answer: (A)

As per the question, let a = 2, b = 6, c = 5, and d = 10. Plugging these into the answer choices, only A does not yield an integer.


Question: An design manager has 10patterns of chairs & 10patterns of tables. In how many ways can he make a pair of table & chair?\nOptions:\n(A) 20\n(B) 40\n(C) 80\n(D) 90\n(E) 100

Answer: (E)

He has has ten patterns of chairs and eight patterns of tables\nHence, A chair can be arranged in 10 ways and\nA table can be arranged in 10 ways\nHence one chair and one table can be arranged in 10 x 10 ways = 100 ways


Question: In what time a sum of money double itself at 6% per annum simple interest?\nOptions:\n(A) 33 1/8%\n(B) 16 2/3%\n(C) 33 7/3%\n(D) 32 1/3%\n(E) 23 1/3%

Answer: (B)


Question: An design manager has 10patterns of chairs & 8patterns of tables. In how many ways can he make a pair of table & chair?\nOptions:\n(A) 20\n(B) 40\n(C) 80\n(D) 90\n(E) 100

Answer: (C)

He has has ten patterns of chairs and eight patterns of tables\nHence, A chair can be arranged in 10 ways and\nA table can be arranged in 8 ways\nHence one chair and one table can be arranged in 10 x 8 ways = 80 ways


Question: Rs.600 amounts to Rs.900 in 3 years at simple interest. If the interest is increased by 4%, it would amount to how much?\nOptions:\n(A) 672\n(B) 246\n(C) 258\n(D) 856\n(E) 653

Answer: (A)


Question: 70 is increased by 50%. Find the final number.\nOptions:\n(A) 100\n(B) 110\n(C) 105\n(D) 30\n(E) 160

Answer: (C)

Final number = Initial number + 50%(original number) = 70 + 50%(70) = 70 + 35 = 105.


Question: People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, white and yellow. This pattern continues (red, green, blue, white and yellow) until it ends with a green shirt. If there are more than 5 people in line, which of the following cannot be the number of people in the line?\nOptions:\n(A) 22\n(B) 42\n(C) 52\n(D) 62\n(E) 71

Answer: (E)

The correct answer should not take the form: 5x + 2. Hence, it is


Question: A train 350 m long, running with a speed of 63 km/hr will pass a tree in?\nOptions:\n(A) 15 sec\n(B) 16 sec\n(C) 18 sec\n(D) 20 sec\n(E) 25 sec

Answer: (D)


Question: A motorcyclist goes from Bombay to Pune, a distance of 256 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?\nOptions:\n(A) 1:2\n(B) 1:5\n(C) 1:4\n(D) 1:1\n(E) 5:8

Answer: (E)


Question: Every Sunday, Giri jogs 3 miles. For the rest of the week, each day he jogs 1 mile more than the previous day. How many miles does giri jog in 2 weeks ?\nOptions:\n(A) 42\n(B) 63\n(C) 84\n(D) 98\n(E) 108

Answer: (C)

In one week, Giri jogs 3 + 4 + 5 + 6 + 7 + 8 + 9 = 42 miles\nIn two weeks, Giri jogs 84 miles.


Question: The average age of a family of 6 members is 26 years.If the age of the youngest member is 10 years,what was the average age of the family at the birth of the youngest member?\nOptions:\n(A) 15\n(B) 18\n(C) 16\n(D) 12\n(E) 19

Answer: (C)

Present age of total members = 6 X 26 = 156\n10 yrs back their ages were = 6 x 10 = 60\nAges at the birth of youngest member = 156 - 60 = 96\nTherefore, avg age at the birth of youngest member = 96/6 = 16.


Question: What amount does Kiran get if he invests Rs. 16000 at 15% p.a. simple interest for four years?\nOptions:\n(A) 29893\n(B) 27773\n(C) 25600\n(D) 28800\n(E) 29883

Answer: (C)


Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?\nOptions:\n(A) 228777\n(B) 26788\n(C) 26088\n(D) 28800\n(E) 67881

Answer: (D)


Question: The average of seven numbers is 20. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?\nOptions:\n(A) 27\n(B) 29\n(C) 31\n(D) 41\n(E) 35

Answer: (D)

The total of seven numbers = 7X20 = 140\nThe total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99\nSo, the middle number is (140 - 99 ) = 41


Question: A number is said to be prime saturated if the product of all the different positive prime factors of n is less than the square root of n. What is the greatest two digit prime saturated integer ?\nOptions:\n(A) 99\n(B) 98\n(C) 97\n(D) 96 answer\n(E) 95

Answer: (D)

The square roots of all numbers from answer choices are between 9 and 10, so the product of primes of the number we are looking should be less then 9, so this number should have only 2-s, only 3-s, only 5-s, or only 2-s and 3-s as its primes. Only 96 satisfies this.


Question: A motorcyclist goes from Bombay to Pune, a distance of 128 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?\nOptions:\n(A) 1:3\n(B) 1:5\n(C) 1:4\n(D) 1:1\n(E) 1:8

Answer: (C)


Question: The average age of A, B and C is 28 years. If the average age of A and C is 29 years, what is the age of B in years ?\nOptions:\n(A) 19\n(B) 26\n(C) 20\n(D) 32\n(E) 21

Answer: (B)

Age of B = Age of (A + B + C) â€“ Age of (A + C) = 28 Ã— 3 â€“ 29 Ã— 2 = 84 â€“ 58 = 26 years


Question: The edge of a cube is 6a cm. Find its surface?\nOptions:\n(A) 216a2\n(B) 24a4\n(C) 24a1\n(D) 24a2\n(E) 24a7

Answer: (A)


Question: Sukhbir is taller than Randhir but not as tall as Ajit. If Manoj is taller than Nitin, who is shorter than Ajit, then who among them is the shortest?\nOptions:\n(A) Nitin\n(B) Sukhbir\n(C) Manoj\n(D) Data inadequate\n(E) None of these

Answer: (D)

Data Inadequate. As No relation is given among Randhir and Nitin.


Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?\nOptions:\n(A) 22\n(B) 28\n(C) 29\n(D) 20\n(E) 21

Answer: (D)

Average of 20 numbers = 0\nSum of 20 numbers = (0 * 20) = 0\nIt is quite possible that 19 of these numbers may be positive and if their sum is a, then 20th number is (-a).


Question: In an office, 30 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?\nOptions:\n(A)  480\n(B)  48\n(C)  50\n(D)  144\n(E)  160

Answer: (B)


Question: Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 8 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week?\nOptions:\n(A) 30\n(B) 20\n(C) 18\n(D) 12\n(E) 6

Answer: (D)


Question: A train running at the speed of 60 km/hr crosses a pole in 6 seconds. Find the length of the train.\nOptions:\n(A) 110 meter\n(B) 120 meter\n(C) 100 meter\n(D) 90 meter\n(E) 105 meter

Answer: (C)

Speed = 60*(5/18) m/sec = 50/3 m/sec\nLength of Train (Distance) = Speed * Time\n(50/3) * 6 = 100 meter


Question: Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?\nOptions:\n(A) 2\n(B) 3\n(C) 3.5\n(D) 4\n(E) 4.5

Answer: (B)

Part filled by A + B + C in 1 hour = 1/5 + 1/10 + 1/30 = 1/3\nAll the three pipes together will fill the tank in 3 hours.


Question: If P(A) = 2/15, P(B) = 4/15, and P(A âˆª B) = 12/15 Find P(B|A)\nOptions:\n(A) 1/2\n(B) 2/3\n(C) 3/2\n(D) 4/5\n(E) 6

Answer: (E)


Question: In case K is the only individual sewing on committee B, which among the following shouldserve on committee A?\nOptions:\n(A) V and U\n(B) V and T\n(C) U and S\n(D) L and M\n(E) T and U

Answer: (D)


Question: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?\nOptions:\n(A) 450\n(B) 200\n(C) 250\n(D) 300\n(E) 350

Answer: (A)


Question: The difference between the place value and the face value of 6 in the numeral 856973 is\nOptions:\n(A) 5994\n(B) 6973\n(C) 973\n(D) 1000\n(E) 7000

Answer: (A)

(Place value of 6) - (Face value of 6) = (6000 - 6) = 5994


Question: A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 15 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?\nOptions:\n(A)  2,060\n(B)  1,320\n(C)  455\n(D)  315\n(E)  220

Answer: (C)


Question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?\nOptions:\n(A) 337\n(B) 267\n(C) 342\n(D) 287\n(E) 261

Answer: (C)


Question: Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?\nOptions:\n(A) 328\n(B) 150\n(C) 279\n(D) 277\n(E) 267

Answer: (B)


Question: A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is?\nOptions:\n(A) 277\n(B) 268\n(C) 270\n(D) 150\n(E) 282

Answer: (D)


Question: K-numbers are positive integers with only 2's as their digits. For example, 2, 22, and 222 are K-numbers. The K-weight of a number n is the minimum number of K-numbers that must be added together to equal n. For example, the K-weight of 50 is 5, because 50 = 22 + 22 + 2 + 2 + 2. What is the K-weight of 750?\nOptions:\n(A) 10\n(B) 11\n(C) 12\n(D) 13\n(E) 15

Answer: (E)


Question: Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?\nOptions:\n(A) 57%\n(B) 60%\n(C) 90%\n(D) 65%\n(E) 70%

Answer: (A)


Question: How much is 70% of 40 is greater than 4/5 of 25?\nOptions:\n(A) 12\n(B) 27\n(C) 18\n(D) 12\n(E) 8

Answer: (E)


Question: The average of 13 numbers is 60. Average of the first 7 of them is 56 and that of the last 7 is 61. Find the 8th number?\nOptions:\n(A) 39\n(B) 83\n(C) 45\n(D) 53\n(E) 64

Answer: (A)

Sum of all the 13 numbers = 13 * 60 = 780\nSum of the first 7 of them = 7 * 56 = 392\nSum of the last 7 of them = 7 * 61 = 427\nSo, the 8th number = 427 + 392 - 780 = 39.


Question: A sells a Cricket Bat to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays $222 for it, the cost price of the Cricket Bat for A is:\nOptions:\n(A) 150\n(B) 148\n(C) 130\n(D) 160\n(E) 210

Answer: (B)


Question: By how much is 50% of 250 greater than 25% of 400.\nOptions:\n(A) 25\n(B) 26\n(C) 29\n(D) 39\n(E) 26

Answer: (B)


Question: A pipe can fill a cistern in 12 minutes whereas the cistern when fill can be emptied by a leak in 18 minutes. When both pipes are opened, find when the cistern will be full?\nOptions:\n(A) 17\n(B) 16\n(C) 70\n(D) 36\n(E) 12

Answer: (D)


Question: If a man can cover 14 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?\nOptions:\n(A) 288\n(B) 162\n(C) 189\n(D) 168\n(E) 122

Answer: (C)

14 m/s = 14 * 18/5 kmph\n3 hours 45 minutes = 3 3/4 hours = 15/4 hours\nDistance = speed * time = 14 * 18/5 * 15/4 km = 189 km.


Question: What is the are of an equilateral triangle of side 16 cm?\nOptions:\n(A) 66√3 cm2\n(B) 74√3 cm2\n(C) 64√3 cm2\n(D) 64√5 cm2\n(E) 14√3 cm2

Answer: (D)

Area of an equilateral triangle = √3/4 S2\nIf S = 16, Area of triangle = √3/4 * 16 * 16 = 64√3 cm2;


Question: If six persons sit in a row, then the probability that three particular persons are always together is?\nOptions:\n(A) 1/6\n(B) 1/3\n(C) 1/5\n(D) 1/1\n(E) 1/2

Answer: (C)

Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes = 3!4! Required probability = 3!4!/6! = 1/5


Question: A train 420 m long, running with a speed of 63 km/hr will pass a tree in?\nOptions:\n(A) 36 sec\n(B) 16 sec\n(C) 17 sec\n(D) 88 sec\n(E) 12 sec

Answer: (A)


Question: Using all the letters of the word "THURSDAY", how many different words can be formed?\nOptions:\n(A) 8\n(B) 8!\n(C) 7!\n(D) 7\n(E) 5

Answer: (B)

Total number of letters = 8\nUsing these letters the number of 8 letters words formed is ⁸P₈ = 8!.


Question: The average of first 10 odd numbers is?\nOptions:\n(A) 11\n(B) 10\n(C) 88\n(D) 176\n(E) 12

Answer: (B)

Sum of 10 odd no. = 100\nAverage = 100/10 = 10


Question: What is the probability that Company W's advertisement will be one of the first two be shown during the first commercial break?\nOptions:\n(A)  1/ 225\n(B)  1 / 30\n(C)  1 /15\n(D)  2 / 15\n(E)  4 /15

Answer: (D)


Question: If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 41, what is the value of K?\nOptions:\n(A)  41\n(B)  15 3/4\n(C)  22\n(D)  23\n(E)  25 3/10

Answer: (A)


Question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?\nOptions:\n(A) 6 ½ sec\n(B) 9 ½ sec\n(C) 3 ½ sec\n(D) 7 ½ sec\n(E) 2 ½ sec

Answer: (D)


Question: A train 360 m long is running at a speed of 36 km/hr. In what time will it pass a bridge 140 m long?\nOptions:\n(A) 40 sec\n(B) 50 sec\n(C) 88 sec\n(D) 19 sec\n(E) 10 sec

Answer: (B)

Speed = 36 * 5/18 = 10 m/sec\nTotal distance covered = 360 + 140 = 500 m\nRequired time = 500 * 1/10 = 50 sec


Question: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 54% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?\nOptions:\n(A) 60%\n(B) 50%\n(C) 25%\n(D) 19%\n(E) 10%

Answer: (D)

{Total} = {finance} + {marketing} - {both} + {neither}\n100 = 25 + 54 - {both} + 40\n{both} = 19%.


Question: If 20m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?\nOptions:\n(A) 2m −1\n(B) 4m\n(C) 6m\n(D) 7m\n(E) 6m/5

Answer: (D)

20m - n = p\nAdd n to both sides:\n20m = n + p\nAdd m to both sides:\n21m = n + p + m\nNow, divide both sides by 3\n7m = (n + p + m)/3 = the average of n, p, and m


Question: In a photography exhibition, some photographs were taken by Octavia the photographer, and some photographs were framed by Jack the framer. Jack had framed 24 photographs taken by Octavia, and 12 photographs taken by other photographers. If 36 of the photographs in the exhibition were taken by Octavia, how many photographs were either framed by Jack or taken by Octavia?\nOptions:\n(A) 36\n(B) 48\n(C) 72\n(D) 96\n(E) 108

Answer: (B)

The number of photographs either framed by Jack or taken by Octavia = {Jack} + {Octavia} - {overlap} = 36 + 36 - 24 = 48 ({overlap} is green box).


Question: Find the value of y from given equation: (12)^3 x 6^4 ÷ 432 = y?\nOptions:\n(A) 2345\n(B) 2790\n(C) 3490\n(D) 7389\n(E) 5184

Answer: (E)


Question: Two pipes A and B can fill a cistern in 37 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:\nOptions:\n(A) 9 minutes\n(B) 7\n(C) 6\n(D) 5\n(E) 4

Answer: (A)

Let B be turned off after x minutes. Then, Part filled by (A + B) in x min. + Part filled by A in (30 -x) min. = 1. x(2/75 + 1/45) + (30 - x). 2/75 = 1 11x/225 + (60 - 2x)/75 = 1 11x + 180 - 6x = 225. x = 9.


Question: The average of first 17 even numbers is?\nOptions:\n(A) 10\n(B) 11\n(C) 18\n(D) 20\n(E) 24

Answer: (C)

Sum of 17 even numbers = 17 * 18 = 306\nAverage = 306/17 = 18


Question: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?\nOptions:\n(A) 22 1/8 %\n(B) 22 9/2 %\n(C) 22 1/7 %\n(D) 22 1/2 %\n(E) 21 1/2 %

Answer: (D)


Question: In digging a grave 200 m * 100 m * 3 m the volumes of the dirt to be extracted will be?\nOptions:\n(A) 600 cu.m\n(B) 12000 cu.m\n(C) 6000 cu.m\n(D) 60000 cu.m\n(E) 4000 cu.m

Answer: (D)


Question: A car traveled from San Diego to San Francisco at an average speed of 54 miles per hour. If the journey back took twice as long, what was the average speed of the trip?\nOptions:\n(A) 24.\n(B) 32.\n(C) 36.\n(D) 42.\n(E) 44.

Answer: (C)

Let the time taken be = x\nOne way distance = 54x\nTotal distance traveled = 2 * 54x = 108x\nTotal time taken = x + 2x = 3x\nAverage speed = 108x/3x = 36


Question: In g is a positive integer smaller than 200 and (14g)/60 is an integer, then g has how many different positive prime factors?\nOptions:\n(A) 2\n(B) 3\n(C) 5\n(D) 6\n(E) 8

Answer: (B)

7g/30 tells us that g is a factor of 30, which has 2, 3, and 5 as its prime factors. Each of them is distinct. Moreover, all multiples of 30 less than 200 can be derived by multiplying these prime factors alone. Thus, number of different prime factors is 3.


Question: The edge of a cube is 9a cm. Find its surface?\nOptions:\n(A) 153a2 cm2\n(B) 143a2 cm2\n(C) 233a2 cm2\n(D) 243a2 cm2\n(E) 253a2 cm2

Answer: (D)


Question: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.157. Find the unknown rate of two blankets?\nOptions:\n(A) 420\n(B) 550\n(C) 490\n(D) 450\n(E) 520

Answer: (E)


Question: A fair coin is tossed repeatedly. If head appears on the first four tosses, then the probability of appearance of tail on the fifth toss is.\nOptions:\n(A) 1/7\n(B) 1/2\n(C) 3/7\n(D) 2/3\n(E) 1/3

Answer: (B)

Since the coin is a fair coin, every toss is independent of any other toss. Hence, the probability of appearance of tail on the fifth toss is = 1/2


Question: Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as one. Given that, how many faces does the resultant solid have\nOptions:\n(A)  4\n(B)  9\n(C) 6\n(D)  10\n(E)  12

Answer: (C)

To arrange them as described I did as follows on my scratch paper (see the file attached), where I counted 4 sides and added top and bottom, hence 4+2 = 6.


Question: A 160 meter long train crosses a man standing on the platform in 18 sec. What is the speed of the train?\nOptions:\n(A) 96 kmph\n(B) 94 kmph\n(C) 32 kmph\n(D) 56 kmph\n(E) 76 kmph

Answer: (C)


Question: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 3 o’clock the faster train is 15 miles behind the slower one. How far apart are the two trains at 5 o'clock?\nOptions:\n(A) 45 miles\n(B) 80 miles\n(C) 90 miles\n(D) 120 miles\n(E) 400 miles

Answer: (A)

Answer = A. 45 miles\nRelational speed = 130 - 100 = 30 miles per hour\nIn 2 hours, difference = 30 * 2 = 60 miles\nFast train trailing 15 miles, so effective difference = 60 - 15 = 45 miles


Question: What is the least number should be added to 1056, so the sum of the number is completely divisible by 28?\nOptions:\n(A) 1\n(B) 2\n(C) 3\n(D) 4\n(E) 8

Answer: (E)

(1056 / 28) gives remainder 20\n20 + 8 = 28, So we need to add 8


Question: The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher\nOptions:\n(A) 34 Years\n(B) 37 Years\n(C) 49 Years\n(D) 51 Years\n(E) 57 Years

Answer: (C)

Total age of students is 32X16 = 512 Years\nTotal age inclusive of teacher = 33X (16+1) = 561\nSo, Teacher's age is 561-512 = 49 Yrs\nThere is a shortcut for these type of problems\nTeacher's age is 16+(33X1) = 49 Years


Question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is\nOptions:\n(A) 5/9\n(B) 5/12\n(C) 1/36\n(D) 7/12\n(E) 4/9

Answer: (B)

Using question number 11 and 12, we get the probability as\n1 - (1/36 + 5/9) = 5/12


Question: A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?\nOptions:\n(A) 165\n(B) 185\n(C) 205\n(D) 225\n(E) 245

Answer: (A)

Total number of persons in the committee = 5 + 6 = 11\nNumber of ways of selecting group of eight persons = ¹¹C₈ = ¹¹C₃ = (11 * 10 * 9)/(3 * 2) = 165 ways.


Question: In a bucket there are 3 blue balls and 2 red balls. What is the probability of drawing at least one blue ball when drawing two consecutive balls randomly?\nOptions:\n(A) 9/10\n(B) 16/20\n(C) 2/5\n(D) 3/5\n(E) ½

Answer: (A)

P(at least one blue) = 1 - P(no blue, so 2 red) = 1- 2/5*1/4 = 9/10.


Question: Three years ago, the average age of a family of 5 members was 17. A baby having been born, the average age of the family is the same today. What is the age of the child?\nOptions:\n(A) 3\n(B) 2\n(C) 4\n(D) 1\n(E) 5

Answer: (B)

Present age of 5 members = 5 x 17 + 3 x 5 = 100 years\nAlso, present ages of 5 members + Age of the baby = 6 x 17 = 102 years\nAge of the baby = 102 – 100 = 2 years.


Question: A can do a piece of work in 20 days. B in 15 days A and C in 12 days. In how many days can A finish the work if he is assisted by B on one day and C on the next, alternately?\nOptions:\n(A) 9 days\n(B) 8 days\n(C) 5 days\n(D) 54 days\n(E) 2 days

Answer: (B)


Question: There are 10 students named alphabetically from A to J. What is the Probability that A and D do not sit together if all 10 sit around a circular table?\nOptions:\n(A) 2/9\n(B) 2/5\n(C) 7/9\n(D) 4/5\n(E) 8/9

Answer: (C)

Number of students = 10\nNumber of ways 10 students can sit around a circular table = (10 - 1)! = 9!\nNumber of ways A and D sit together (consider A and D as one entity) = (9 - 1)! = 8! * 2\nNumber of ways A and D do not sit together = 9! - (8! * 2)\nProbability = (9! - (8! * 2))/9! = 1 - 2/9 = 7/9


Question: 10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work get completed?\nOptions:\n(A) 6\n(B) 7 2⁄3\n(C) 6 2⁄3\n(D) 6 1⁄3\n(E) None of these

Answer: (C)

10 men + 15 women in 1 day do 1⁄15 + 1⁄12 = 9⁄60 work\n\ Time taken = 60⁄9 days = 62⁄3 days


Question: If a and b are unique prime integers, which of the following must be even?\nOptions:\n(A) a−b\n(B) a−2b\n(C) 2a−2b\n(D) 2a−b\n(E) ab^2

Answer: (C)

Let's assume that a is an even prime integer and b is an odd prime integer, their subtraction results in an odd integer and an odd integer multiplied by an even integer yields an even integer.


Question: 90 is increased by 50%. Find the final number.\nOptions:\n(A) 100\n(B) 110\n(C) 135\n(D) 140\n(E) 160

Answer: (C)

Final number = Initial number + 50%(original number) = 90 + 50%(90) = 90 + 45 = 135.


Question: If Raj shares all of his amount equally among his five friends then each of his friend's amount increased by $10 then Raj had how much?\nOptions:\n(A) $10\n(B) $20\n(C) $30\n(D) $40\n(E) $50

Answer: (E)

Five friends amount increased by $10 and Raj shared equally so amount = 5 * 10 = 50


Question: Find the third proportional to 3 and 9?\nOptions:\n(A) 10\n(B) 12\n(C) 27\n(D) 19\n(E) 20

Answer: (C)

Formula = Third proportional = (b × b)/a\nA = 3 and B = 9\n(9 x 9)/ 3 = 81/3 = 27


Question: What is the probability that Company G's advertisement will be one of the first two be shown during the first commercial break?\nOptions:\n(A)  1/ 225\n(B)  1 / 30\n(C)  1 /15\n(D)  2 / 15\n(E)  4 /15

Answer: (D)


Question: Solve below question 2x + 1 = -23\nOptions:\n(A) -8\n(B) -9\n(C) -12\n(D) -4\n(E) 12

Answer: (C)

1. Subtract 1 from both sides: 2x + 1 - 1 = -23 - 1 2. Simplify both sides: 2x = -24 3. Divide both sides by 2: 4. Simplify both sides: x = -12


Question: The average of seven results is 156 and that of the first six is 169. The fifth result is?\nOptions:\n(A) 120\n(B) 160\n(C) 89\n(D) 78\n(E) 148

Answer: (D)


Question: A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?\nOptions:\n(A) 356\n(B) 200\n(C) 127\n(D) 279\n(E) 150

Answer: (B)

Speed = 60 * 5/18 = 50/3 m/sec\nLength of the train = speed * time = 50/3 * 12 = 200 m


Question: What is the area of a square with perimeter 8P ?\nOptions:\n(A)  16p^2\n(B)  4P^2\n(C)  P^2/4\n(D)  P/16\n(E)  P^2/16

Answer: (B)


Question: Some persons can do a piece of work in 20 days. Two times the number of these people will do half of that work in?\nOptions:\n(A) 3\n(B) 4\n(C) 5\n(D) 6\n(E) 8

Answer: (C)


Question: Find the wrong number below mentioned series\n11,150,280,560,800\nOptions:\n(A) 800\n(B) 560\n(C) 280\n(D) 150\n(E) 11

Answer: (E)

11 is the only prime number or odd number in the series.


Question: A car traveled from San Diego to San Francisco at an average speed of 63 miles per hour. If the journey back took twice as long, what was the average speed of the trip?\nOptions:\n(A) 24.\n(B) 32.\n(C) 36.\n(D) 42.\n(E) 44.

Answer: (D)

Let the time taken be = x\nOne way distance = 63x\nTotal distance traveled = 2 * 63x = 126x\nTotal time taken = x + 2x = 3x\nAverage speed = 126x/3x = 42


Question: The rowing athletes in a rowing conference voted for coach of the year. Each rower who voted chose exactly 3 coaches to vote for among the 36 coaches in the conference. If each of the 36 coaches received exactly 5 votes (a 36 way tie), how many rowers voted for coach of the year?\nOptions:\n(A) 60\n(B) 70\n(C) 75\n(D) 84\n(E) 90

Answer: (A)

There were 36*5 = 180 total votes made. If each voter picked 3 coaches, there were 180/3 = 60 voters.


Question: Every day, Fred takes the train to travel from his work back to Alkmaar, his place of residence. Usually, he arrives at the station of Alkmaar at six o'clock, and exactly at that moment, his wife picks him up by car. Yesterday evening, Fred took an earlier train, without informing his wife, and therefore he already was at the station of Alkmaar at five o'clock. He decided to walk part of the way to meet his wife. When he met the car with his wife, he drove home with her. In this way, they were home ten minutes earlier than normal. Fred's wife always drives the entire way between home and station at the same constant speed.How long did Fred walk yesterday evening?\nOptions:\n(A) 55\n(B) 45\n(C) 58\n(D) 65\n(E) 59

Answer: (A)

Fred's wife needed to drive ten minutes less than usual, which is five minutes less in the direction of the station and five minutes less back home. Therefore, Fred met his wife at five minutes to six. He had walked already since five o'clock, so he walked 55 minutes in total.


Question: What is the % change in the area of a rectangle when its length increases by 20% and its width decreases by 20%?\nOptions:\n(A) 0%\n(B) 20% increase\n(C) 20% decrease\n(D) 4% decrease\n(E) Insufficient data

Answer: (D)


Question: A 160 meter long train crosses a man standing on the platform in 12 sec. What is the speed of the train?\nOptions:\n(A) 48 kmph\n(B) 54 kmph\n(C) 92 kmph\n(D) 86 kmph\n(E) 76 kmph

Answer: (A)


Question: How much is 60% of 40 is greater than 4/5 of 25?\nOptions:\n(A) 4\n(B) 6\n(C) 10\n(D) 8\n(E) 13

Answer: (A)


Question: The distance between West-Town to East-Town is 10 kilometers. Two birds start flying simultaneously towards one another, the first leaving from West-Town at a speed of 4 kilometers per minute and the second bird, leaving from East-Town, at a speed of 1 kilometers per minute. What will be the distance, in kilometers, between the meeting point and West-Town?\nOptions:\n(A) 3.\n(B) 8.\n(C) 10.\n(D) 12.\n(E) 15.

Answer: (B)

Time taken by the birds to meet = 10/(4 + 1) = 2 mins\nDistance traveled by the bird traveling from West-Town = 4 * 2 = 8


Question: A football field is 9600 square yards. If 800 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards?\nOptions:\n(A) 450\n(B) 600\n(C) 750\n(D) 2400\n(E) 300

Answer: (E)

Answer E) 9600 yards need 1200 lbs\n1 Yard will need 800/9600 = 1/12 lbs\n3600 Yards will need 1/12* 3600 Yards = 300lbs


Question: From among the 38 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?\nOptions:\n(A) 1360\n(B) 1260\n(C) 1060\n(D) 1160\n(E) 1406

Answer: (E)

There are 38 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 38 ways. When one person is appointed as leader, we are left with 35 students. Out of these 37 teachers, we can select one class representative. So, a class representative can be selected in 37 ways. Hence, the number of ways in which a leader and class representative can be selected = 38 x 37 = 1406


Question: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40\nOptions:\n(A) 13\n(B) 18\n(C) 40\n(D) 37\n(E) 25

Answer: (C)

The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong.


Question: Dacid obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?\nOptions:\n(A) 32\n(B) 88\n(C) 77\n(D) 99\n(E) 75

Answer: (E)


Question: If X and Y are both positive two-digit integers and share no digits, and X > Y, what is the smallest possible value of X - Y?\nOptions:\n(A) 0\n(B) 1\n(C) 2\n(D) 3\n(E) 9

Answer: (B)


Question: A train 250 m long running at 72 kmph crosses a platform in 30 sec. What is the length of the platform?\nOptions:\n(A) 350m\n(B) 200m\n(C) 250m\n(D) 270m\n(E) 300 m

Answer: (A)


Question: A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 10 percent of the drive from the center, what percent of the round-trip has the technician completed?\nOptions:\n(A) 5%\n(B) 10%\n(C) 25%\n(D) 40%\n(E) 55%

Answer: (E)

Assuming that the technician makes a round-trip of 40 miles (each way is 20 miles), then the technician would have completed 20 miles + 2 miles (10% of the remaining 20 miles). Therefore, the total is 22 miles. 22miles/40 miles is 55% of the entire trip.


Question: How long does a train 100 m long traveling at 72 kmph takes to cross a tunnel of 1400 m in length?\nOptions:\n(A) 70 sec\n(B) 60sec\n(C) 82 sec\n(D) 75 sec\n(E) 62 sec

Answer: (D)


Question: A no.when divided by 220 gives a remainder 43, what remainder will be obtainedby dividingthe same no.17?\nOptions:\n(A) 5\n(B) 6\n(C) 9\n(D) 11\n(E) 15

Answer: (C)


Question: M and N invested in a shop. The profits were divided in the ratio of 4 : 5 respectively. If M invested Rs. 40,000, the amount invested by N is:\nOptions:\n(A) 35000\n(B) 40000\n(C) 50000\n(D) 60000\n(E) None

Answer: (C)


Question: The no. of girls in a class are seven times the no. of boys, which value cannever be the of total students?\nOptions:\n(A) 3\n(B) 5\n(C) 8\n(D) 9\n(E) 11

Answer: (C)

Let the boys are X, then girls are 7X, total = X+7X = 8X\nSo it should be multiple of 8, 30 is not a multiple of 8.


Question: Look at this series: 80, 10, 70, 15, 60, ... What number should come next?\nOptions:\n(A) 20\n(B) 23\n(C) 25\n(D) 30\n(E) 35

Answer: (A)

This is an alternating addition and subtraction series. In the first pattern, 10 is subtracted from each number to arrive at the next. In the second, 5 is added to each number to arrive at the next.


Question: A man collects cigarette stubs and makes one full cigarette with every 8 stubs. If he gets 64 stubs how many full cigarettes can he smoke\nOptions:\n(A) 7\n(B) 8\n(C) 9\n(D) 10\n(E) 15

Answer: (C)

From 64, he makes 8. From this 8 he makes one more. Total 9.


Question: Find the largest 4 digit number which isexactly divisible by 88?\nOptions:\n(A) 8765\n(B) 9543\n(C) 9944\n(D) 1012\n(E) 2465

Answer: (C)

Largest 4 digit number is 9999\nAfter doing 9999 ÷ 88 we get remainder 55\nHence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944


Question: When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land twice on heads and once on tails?\nOptions:\n(A) 1/16\n(B) 1/3\n(C) 1/6\n(D) 1/2\n(E) 1/8

Answer: (E)

Must be once on twice and once on tails\n1/2*1/2*1/2 = 1/8


Question: At the A-Street Fish Market a vendor sells fresh caught fish. His store is filled with 2/7 bass, 1/5 tuna, 1/7 trout, and the rest are catfish. If a customer just bought 1/7 of all the tuna and 1/7 of all the catfish, and a fisherman arrived to restock the bass, doubling the number of bass, what proportion of fish now in the store are trout?\nOptions:\n(A) 30/71\n(B) 4/7\n(C) 5/43\n(D) 1/2\n(E) 1/5

Answer: (C)


Question: 95 white and black tiles will be used to form a 10x10 square pattern. If there must be at least one black tile in every row and at least one white tile in every column, what is the maximum difference between the number of black and white tiles that can be used?\nOptions:\n(A) 75\n(B) 80\n(C) 85\n(D) 90\n(E) 95

Answer: (C)

Answer = C\nPlease refer diagram below\n95 - 10 = 85


Question: A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 86. How many points altogether did the team score?\nOptions:\n(A) 662\n(B) 678\n(C) 652\n(D) 642\n(E) 721

Answer: (B)


Question: A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was.\nOptions:\n(A) 15000\n(B) 2655\n(C) 16888\n(D) 6677\n(E) 1871

Answer: (A)


Question: X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?\nOptions:\n(A) 2\n(B) 3\n(C) 6\n(D) 7\n(E) 8

Answer: (C)

Work done by X in 1 day = 1/18\nWork done by Y in 1 day = 1/15\nWork done by Y in 10 days = 10/15 = 2/3\nRemaining work = 1 – 2/3 = 1/3\nNumber of days in which X can finish the remaining work = (1/3) / (1/18) = 6


Question: If x>0, y>0, and |x| > |y|, which of the following must be true?\nOptions:\n(A) x > y\n(B) y^2 > x^2\n(C) x^3 > y^2\n(D) –x < y\n(E) x < –y

Answer: (A)

Correct Answer: (E)\nLet’s go through each answer choice: (A) can never be true, since no negative is greater than a positive. (B) doesn’t have to be true – consider what would happen if x = -2 and y = 1. (C) can never be true, as x^3 must be negative, and y^2 must be positive. (D) can never be true, since if x < 0, -x is the same thing as |x|, and |x| > y. (E) can be manipulated by multiplying both sides by -1, which gives us –x > y. Remember that x < 0, so –x = |x|, and y is positive, so |y| = y. Thus x > y is the same statement as |x| > |y|, and (A) must be true.


Question: Solve:-\n666 x 666 x 666 + 555 x 555 x 555 = ?(666 x 666 - 666 x 555 + 555 x 555)\nOptions:\n(A) 888\n(B) 333\n(C) 555\n(D) 1221\n(E) 889

Answer: (D)


Question: A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?\nOptions:\n(A) 22 1/8\n(B) 22 1/2\n(C) 22 1/1\n(D) 22 1/5\n(E) 22 1/9

Answer: (B)


Question: A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?\nOptions:\n(A) 350 m\n(B) 250 m\n(C) 300 m\n(D) 148 m\n(E) 150 m

Answer: (E)

Speed = 60 * 5/18 = 50/3 m/sec\nLength of the train = speed * time = 50/3 * 9 = 150 m


Question: In how many different ways can the letters of the word ‘PREPTY’ be arranged?\nOptions:\n(A) 120\n(B) 230\n(C) 330\n(D) 340\n(E) 360

Answer: (E)

Number of ways = 61/21 6X5X4X3X2X1 - 360


Question: The average age of A, B and C is 29 years. If the average age of A and C is 32 years, what is the age of B in years ?\nOptions:\n(A) 19\n(B) 35\n(C) 20\n(D) 32\n(E) 23

Answer: (E)

Age of B = Age of (A + B + C) â€“ Age of (A + C) = 29 Ã— 3 â€“ 32 Ã— 2 = 87 â€“ 64 = 23 years


Question: Some persons can do a piece of work in 16 days. Two times the number of these people will do half of that work in?\nOptions:\n(A) 3\n(B) 4\n(C) 5\n(D) 6\n(E) 8

Answer: (B)


Question: How many digits are in the number 50^8 × 8^3 × 11^2 x 10^2?\nOptions:\n(A) 22\n(B) 20\n(C) 21\n(D) 18\n(E) 17

Answer: (C)

Whenever you are asked to find the number of digits, try to bring the number in multiples of 10. This way, we can wasily calculate the umber of 0's through the powers of 10\n50^8 × 8^3 × 11^2 x 10^2 = (5^2*2)^8*2^9*11^2x 10^2 = 5^16*2^17*11^2 x10^2 = 2*11^2*10^16x10^2 = 242*10^18\nHence we would have 16 trailing 0's and the three digits from 242\nTotal digits = 3 + 18 = 21


Question: Fill in the blank with the correct number in this number series: 20, 65, 27, 61, __, 57, 41, ?\nOptions:\n(A) 34\n(B) 35\n(C) 38\n(D) 25\n(E) 56

Answer: (A)

This is a simple alternating subtraction and addition series; The first series begins with 20 and adds 7; the second begins with 65 and subtracts 4, and so on.


Question: Three people took GMAT practice tests in which the minimum and maximum possible scores are 200 and 800, respectively. They each took a test 3 times, and no one scored below 510 or over 780. If the individual ranges of the three people's scores in those 3 practice tests were 20, 90 and 130, what is the difference between the maximum and minimum possible ranges of all their scores put together.\nOptions:\n(A) 70\n(B) 80\n(C) 90\n(D) 140\n(E) 170

Answer: (D)

According to the information in the question the maximum range would be between 510 and 780(270). The minimum range would be the greatest range for any one individual, which is listed in the problem as 130. So the difference between these would be 270-130 or 140.


Question: Solve:-\n222 x 222 x 222 + 555 x 555 x 555 = ?(222 x 222 - 222 x 555 + 555 x 555)\nOptions:\n(A) 888\n(B) 333\n(C) 555\n(D) 988\n(E) 777

Answer: (E)


Question: A train of 25 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.0 km long?\nOptions:\n(A) 2 mins 14 sec\n(B) 2 mins 34 sec\n(C) 150 sec\n(D) 164 sec\n(E) 2 mins 44 sec

Answer: (C)


Question: What approximate value should come in place of question mark (?) in the following equation\n287.532 + 1894.029 – 657.48 = 843.095 + ?\nOptions:\n(A) 870\n(B) 790\n(C) 680\n(D) 770\n(E) 890

Answer: (C)


Question: For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100. How much greater are the total shipping fees for 2 orders of $75 each than the total shipping fee for 3 order of $150 ?\nOptions:\n(A)  $1\n(B)  $2\n(C)  $3\n(D)  $4\n(E)  $8

Answer: (E)

Total cost involved for each 75 $ shipment: 3+2 = 5 $. Thus, for two such orders = 10$\nTotal cost involved for a 150$ shipment: 3+3 = 6$. Thus, for two such orders = 18$\nThe difference = 8$.


Question: What will come in place of the x in the following Number series? 49920, 4160, 416, x\nOptions:\n(A) 52\n(B) 3\n(C) 4\n(D) 5\n(E) 6

Answer: (A)


Question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is\nOptions:\n(A) 5/54\n(B) 5/12\n(C) 5/17\n(D) 5/18\n(E) 5/14

Answer: (B)

Using question number 11 and 12, we get the probability as\n1 - (1/36 + 5/9) = 5/12


Question: A 140 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?\nOptions:\n(A) 228\n(B) 108\n(C) 84\n(D) 188\n(E) 211

Answer: (C)


Question: If n is the smallest integer such that 432 times n is the square of an integer, what is the value of n?\nOptions:\n(A) 2\n(B) 3\n(C) 6\n(D) 12\n(E) 24

Answer: (B)

The prime factorization of a square has to have even powers of all its prime factors. If the original number has a factor, say of 7, then when it’s squared, the square will have a factor of 7^2. Another way to say that is: any positive integer all of whose prime factors have even powers must be a perfect square of some other integer. Look at the prime factorization of 432\n432 = (2^4)*(3^3)\nThe factor of 2 already has an even power —- that’s all set. The factor of 3 currently has an odd power. If n = 3, then 432*n would have an even power of 2 and an even power of 3; therefore, it would be a perfect square. Thus, n = 3 is a choice that makes 432*n a perfect square.


Question: Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is\nOptions:\n(A) 1\n(B) 3\n(C) 4\n(D) 0\n(E) 2

Answer: (C)

4 points are possible in which 1 point is the incentre of the circle and other 3 are excentres


Question: Which of the following is not divisible by 3?\nOptions:\n(A) 10394\n(B) 15363\n(C) 29340\n(D) 30753\n(E) 41715

Answer: (E)

Divisibility rule of 3: The sum of the digits of the number should be divisible by 3\nOption A: 10394, Sum = 17. Not divisible by 3. Hence the number 10394 is also not divisible by 3\nOption B: 15363, Sum = 18, Divisible by 3\nOption C: 29340, Sum = 18, Divisible by 3\nOption D: 30753, Sum = 18, Divisible by 3\nOption E: 41715, Sum = 18, Divisible by 3


Question: A shipment of 8 TV sets contains 3 black and white sets and 5 color sets. If 2 TV sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black and white set?\nOptions:\n(A) 1/7\n(B) 1/4\n(C) 9/14\n(D) 11/28\n(E) 13/28

Answer: (C)


Question: The sticks of same length are used to form a triangle as shown below.If 87 such sticks are used then how many triangles can be formed?\nOptions:\n(A) 43\n(B) 44\n(C) 45\n(D) 465\n(E) 47

Answer: (A)

First triangle is formed by using 3 sticks, but any subsequent triangle may be formed by using 2 sticks. Therefore, If 1st triangles uses 3 sticks, Remaining sticks = 87 - 3 = 84. With these 84, we can form 42 triangles. So total = 42 + 1 = 43


Question: The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8748, its purchase price was :\nOptions:\n(A) 12000\n(B) 10000\n(C) 15000\n(D) 20000\n(E) 25000

Answer: (A)


Question: A number is 101102103104...150. As 101 102 103 103.... 150. What is reminder when divided by 3?\nOptions:\n(A) 2\n(B) 5\n(C) 6\n(D) 7\n(E) 8

Answer: (A)

Divisibility rule for 3 also same as 9. so from the above discussion sum of the digits = 380 and remainder = 380/3 = 2.


Question: Efrida and Frazer who live 13 miles apart, meet at a restaurant that is directly north of Efrida's home and directly east of Frazer's home. If the restaurant is two miles closer to Efrida's home, than to Frazer's home, how many miles is the restaurant from Frazer's home?\nOptions:\n(A) 6\n(B) 7\n(C) 8\n(D) 10\n(E) 11

Answer: (E)

It's a simple geometry problem. Look at the diagram below:


Question: Fifteen telegenic contestants with a variety of personality disorders are to be divided into two “tribes” of four members each, tribe A and tribe B, for a competition. How many distinct groupings of two tribes are possible?\nOptions:\n(A) 120\n(B) 126\n(C) 252\n(D) 1200\n(E) 1365

Answer: (E)


Question: A plane flies 500 miles at a speed of r mph. If the plane flies at a speed of r + 250 miles per hour, it would fly the same distance in 1 hour less. What is the value of r?\nOptions:\n(A) 250 mph\n(B) 200 mph\n(C) 205 mph\n(D) 300 mph\n(E) 425 mph

Answer: (A)

Equation: 500/r = 500/(r+50) + 1\nPlug options into the equation\nA fits: 500/250 = 500/(250+250) + 1


Question: If 2^4, 3^3, and 10^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?\nOptions:\n(A) 198\n(B) 288\n(C) 360\n(D) 396\n(E) 484

Answer: (C)

I will go with C (pending elements to match is 2^2*3^2*10^1 = 360


Question: The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 84 ounces of this substance?\nOptions:\n(A) 27\n(B) 36\n(C) 42\n(D) 64\n(E) 147

Answer: (B)

112 ounces of a substance has a volume of 48 cubic inches\n84 ounces of a substance has a volume of (48/112)*84 = 36 cubic inches


Question: A boy runs 200 metres in 24 seconds. What is his speed?\nOptions:\n(A) 20 km/hr\n(B) 24 km/hr\n(C) 30 km/hr\n(D) 32 km/hr\n(E) 34 km/hr

Answer: (C)


Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?\nOptions:\n(A) 1871\n(B) 9172\n(C) 8797\n(D) 8112\n(E) 1899

Answer: (D)


Question: The speed of a boat in still water is 60kmph and the speed of the current is 40kmph. Find the speed downstream and upstream?\nOptions:\n(A) kmph\n(B) kmph\n(C) kmph\n(D) kmph\n(E) kmph

Answer: (D)

Speed downstream = 60 +40 = 100 kmph\nSpeed upstream = 60 - 40 = 20 kmph


Question: A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?\nOptions:\n(A) 22 minutes\n(B) 88 minutes\n(C) 70 minutes\n(D) 77 minutes\n(E) 48 minutes

Answer: (C)


Question: In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient?\nOptions:\n(A) 0\n(B) 12\n(C) 13\n(D) 20\n(E) 22

Answer: (D)


Question: John left home and drove at the rate of 35 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination. How many miles did John drive?\nOptions:\n(A) 235 miles.\n(B) 245 miles.\n(C) 255 miles.\n(D) 265 miles.\n(E) 275 miles.

Answer: (A)

The total distance D traveled by John is given by\nD = 35 * 2 + 3 * 55 = 235 miles.


Question: The average of nine numbers is 15. The average of first four numbers is 11 and the average of last four numbers is 14. What is the middle number?\nOptions:\n(A) 19\n(B) 20\n(C) 35\n(D) 31\n(E) 27

Answer: (C)

The total of nine numbers = 9X15 = 135\nThe total of first 4 and last 4 numbers is = 4 X 11+4 X 14 = 100\nSo, the middle number is (135 - 100 ) = 35


Question: Train A & B leave from same station and reaches same destination but train A leaves half an after Train B & travels 2 times faster than B. Total distance is 100 miles & train B travels 50 miles/hour. Which train reaches the destination first & what is the time difference between the train\nOptions:\n(A) Train A reaches 30 minutes before Train B\n(B) Train B reaches 30 minutes before Train A\n(C) Train A reaches 60 minutes before Train B\n(D) Train B reaches 60 minutes before Train A\n(E) None of the above

Answer: (A)

Time taken for train A = 30 minutes + d1/s1 = 30 minutes + 100 / 100 = 1 hours 30 minutes\nSince Train B travels 50 miles / hour ; train A travels twice the speed of B which gives s1 = 100 miles/ hour\nTime taken for train B = d2/s2 = 100 / 50 = 2 Hours\nSo Train A reaches 30 minutes before Train B


Question: 45 pupil,out of them 12 in debate only and 22 in singing only.then how many in both?\nOptions:\n(A) 9\n(B) 10\n(C) 11\n(D) 12\n(E) 13

Answer: (C)

The intersection for two = 45 - 12 - 22 = 11 play both games.


Question: A and B can do a work in 6 days, B and C in 2 days and C and A in 8 days. In how many days will the work be completed, if all three of them work together?\nOptions:\n(A) 12/24\n(B) 48/63\n(C) 45/56\n(D) 48/19\n(E) 28/12

Answer: (D)

One day work of A and B = 1/6\nOne day work of B and C = 1/2\nOne day work of C and A = 1/8\n2(A + B + C) = 1/6 + 1/2 + 1/8\n2(A + B + C) = 19/24\n(A + B + C) = 19/48\nNumber of days required = 48/19 days.


Question: Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?\nOptions:\n(A) 17 1/7 days\n(B) 17 1/8 days\n(C) 17 5/7 days\n(D) 17 3/7 days\n(E) 13 1/7 days

Answer: (A)


Question: The floor of a rectangular room is 19 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :\nOptions:\n(A) 144 m2\n(B) 140 m2\n(C) 108 m2\n(D) 158 m2\n(E) None of these

Answer: (B)

Area of the outer rectangle = 23 Ã— 16 = 368 m2\nArea of the inner rectangle = 19 Ã— 12 = 228 m2\nRequired area = (368 â€“ 228) = 140 m2


Question: How many distinct prime numbers are factors of 33150?\nOptions:\n(A) Four\n(B) Five\n(C) Six\n(D) Seven\n(E) Eight

Answer: (B)

Start with the prime factorization:\n33150 = 50*663 = (2*5*5)*3*221 = (2)*(3)*(5^2)*(13)*(17)\nThere are five distinct prime factors, {2, 3, 5, 13, and 17}


Question: At what rate percent on simple interest will a sum of money double itself in 40 years?\nOptions:\n(A) 3 1/3%\n(B) 2 1/2%\n(C) 3 9/3%\n(D) 3 2/3%\n(E) 3 6/3%

Answer: (B)


Question: In the expression 51840/x^4, for which of the following values of x will the expression NOT be an integer?\nOptions:\n(A) 1/2\n(B) 1\n(C) 2\n(D) 3\n(E) 5

Answer: (E)

We can straightaway eliminate A & B, since the expression will always yields an integer for those values\nOut of C, D, and E. Let us consider option E. 51840 has only one trailing zero and tens digit is not 5, so It has just one 5 in it. But for the expression to be an integer numerator should have 5^4.


Question: A man rows his boat 70 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?\nOptions:\n(A) 1 kmph\n(B) 6 kmph\n(C) 5 kmph\n(D) 8 kmph\n(E) 7 kmph

Answer: (C)

Speed downstream = d/t = 75/(2 1/2) = 28 kmph\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\nThe speed of the stream = (28 - 18)/2 = 5 kmph


Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?\nOptions:\n(A) 2356\n(B) 3454\n(C) 4656\n(D) 3456\n(E) 5184

Answer: (E)


Question: A train 490 m long, running with a speed of 63 km/hr will pass a tree in?\nOptions:\n(A) 18 sec\n(B) 16 sec\n(C) 76 sec\n(D) 15 sec\n(E) 28 sec

Answer: (E)


Question: If the given two numbers are respectively 6% and 18% of a third number, then what percentage is the first of the second ?\nOptions:\n(A) 20%\n(B) 25%\n(C) 18%\n(D) 33 1/3%\n(E) none of these

Answer: (D)

Here, l = 6 and m = 18\nTherefore, first number = l/m x 100% of second number = 6/18 x 100% of second number = 33 1/3% of second number


Question: Two trains are moving at 65 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?\nOptions:\n(A) 6 2/3 sec\n(B) 7 1/7 sec\n(C) 7 2/2 sec\n(D) 8 1/2 sec\n(E) 7 1/9 sec

Answer: (A)


Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?\nOptions:\n(A) 40\n(B) 37\n(C) 32\n(D) 39\n(E) 28

Answer: (A)

Speed = 45 * 5/18 = 25/2 m/sec\nTotal distance covered = 360 + 140 = 500 m\nRequired time = 500 * 2/25 = 40 sec


Question: How much 60% of 50 is greater than 40% of 30?\nOptions:\n(A) 18\n(B) 27\n(C) 26\n(D) 29\n(E) 21

Answer: (A)


Question: A certain league has five divisions. The respective divisions had 6, 7, 8, 9 and 11 teams qualify for the playoffs. Each division held its own double-elimination tournament -- where a team is eliminated from the tournament upon losing two games -- in order to determine its champion. The four division champions then played in a single-elimination tournament -- where a team is eliminated upon losing one game -- in order to determine the overall league champion. Assuming that there were no ties and no forfeits, what is the maximum number of games that could have been played in order to determine the overall league champion?\nOptions:\n(A)  81\n(B)  83\n(C)  85\n(D)  86\n(E)  89

Answer: (A)

Overall, there can be 81 minuses. Tus, it is


Question: The average of seven numbers is 22. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?\nOptions:\n(A) 25\n(B) 27\n(C) 29\n(D) 32\n(E) 55

Answer: (E)

The total of seven numbers = 7X22 = 154\nThe total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99\nSo, the middle number is (154 - 99 ) = 55


Question: A train 200 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?\nOptions:\n(A) 10\n(B) 20\n(C) 30\n(D) 40\n(E) 50

Answer: (D)


Question: Find 95 ×× 98\nOptions:\n(A) 93/198\n(B) 93/12\n(C) 93/13\n(D) 93/10\n(E) 93/11

Answer: (D)

Here both numbers are less than 100. So they are deficient of - 5 and - 2 compared with 100. So


Question: A frame 2 inches wide is placed around a rectangular picture with dimensions 8 inches by 12 inches. What is the area of the frame, in square inches?\nOptions:\n(A) 44\n(B) 96\n(C) 128\n(D) 144\n(E) 168

Answer: (B)

A frame 2 inches wide is placed around a rectangular picture with dimensions 8 inches by 12 inches. What is the area of the frame, in square inches?\n(12*16)-(8*12) = 96


Question: A die is thrown. If G is the event 'the number appearing is a multiple of 3' and H be the event\n'the number appearing is even' then find whether G and H are independent ?\nOptions:\n(A) G and H are not independent events.\n(B) G and H are independent events.\n(C) Only G independent event\n(D) Only H independent event\n(E) None

Answer: (B)

We know that the sample space is S = {1, 2, 3, 4, 5, 6}\nNow G = { 3, 6}, F = { 2, 4, 6} and E n F = {6}\nThen P(G) = 2/6 = 1/3\nP(H) = 3/6 = 1/2 and P(G ∩ H) = 1/6\nP(G n H) = P(G). P (H)\nG and H are independent events.


Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?\nOptions:\n(A) 4556\n(B) 2354\n(C) 4576\n(D) 6768\n(E) 5184

Answer: (E)


Question: The average of 11 results is 51, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?\nOptions:\n(A) A) 46\n(B) B) 45\n(C) C) 66\n(D) D) 76\n(E) E) 74

Answer: (B)


Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?\nOptions:\n(A) 2234\n(B) 4350\n(C) 4560\n(D) 5132\n(E) 5184

Answer: (E)


Question: A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 5% on conveyance. If his savings at the end of the month is Rs. 1500, then his salary per month in rupees is:\nOptions:\n(A) 4000\n(B) 6000\n(C) 8000\n(D) 10000\n(E) None of these

Answer: (D)


Question: If the average (arithmetic mean) of the four numbers K, 2K + 2, 3K – 5 and 5K + 1 is 63, what is the value of K?\nOptions:\n(A)  11\n(B)  15 3/4\n(C)  22\n(D)  23\n(E)  23 1/11

Answer: (E)


Question: Which of the options is a two-digit number, which has a unit's digit that exceeds its ten's digit by 3 and the product of the given number and the sum of its digits is equal to 175.\nOptions:\n(A) 25\n(B) 36\n(C) 47\n(D) 52\n(E) 63

Answer: (A)

Using the elimination method the option that fits this description is 25\n5-2 = 3 (unit's digit that exceeds its ten's digit by 3)\n25*7 = 175 (the product of the given number and the sum of its digits is equal to 175)


Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train?\nOptions:\n(A) 150\n(B) 8827\n(C) 166\n(D) 199\n(E) 121

Answer: (A)

Speed = 60*(5/18) m/sec = 50/3 m/sec\nLength of Train (Distance) = Speed * Time\n(50/3) * 9 = 150 meter


Question: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?\nOptions:\n(A) 17 1/9\n(B) 17 1/3\n(C) 17 1/7\n(D) 17 1/9\n(E) 17 1/1

Answer: (C)


Question: If 85 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 70 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly?\nOptions:\n(A) 60 %\n(B) 65 %\n(C) 70%\n(D) 75%\n(E) 80%

Answer: (A)

{Total} = {First correctly} + {Second correctly} - {Both correctly} + {Neither correctly}\n100 = 85 + 70 - {Both correctly} + 5\n{Both correctly} = 60.


Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?\nOptions:\n(A) 288\n(B) 270\n(C) 287\n(D) 209\n(E) 271

Answer: (B)


Question: The difference between the local value and the face value of 7 in the numeral 32675149 is\nOptions:\n(A) 69950\n(B) 69993\n(C) 69997\n(D) 70000\n(E) 01000

Answer: (B)

(Local value of 7) - (Face value of 7) = (70000 - 7) = 69993


Question: An equity analyst needs to select 4 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 8, in how many ways can she choose and rank her top 4 picks?\nOptions:\n(A) 1200\n(B) 1680\n(C) 2102\n(D) 4020\n(E) 1840

Answer: (B)

Number of ways of choosing 4 stocks = 8C4\nNumber of ways of ranking the chosen stocks = 4!\nHence total ways of chosing and ranking = 8C4 * 4! = 1680


Question: In a school of 450 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\nOptions:\n(A) 72\n(B) 75\n(C) 80\n(D) 81\n(E) 90

Answer: (D)


Question: Joey is planning to throw a small party and for that he needs to do the following tasks:\nI. Decide guest list\nII. Send invites\nIII. Arrange catering\nIV. Decide the venue\nV. Rent a music system\nThe tasks can be done in any order as long as the invites are sent after the guest list is decided. In how many ways can Joey do the five tasks listed above?\nOptions:\n(A) 24\n(B) 48\n(C) 60\n(D) 120\n(E) 240

Answer: (C)

These 5 tasks can be arranged in 5! = 120 ways. In half of them invites are sentafterthe guest list is decided and in half of them before. So, there are total of 120/2 = 60 ways to arrange the task so that the invites are sent after the guest list is decided.


Question: In case L is the only individual sewing on committee B, which among the following shouldserve on committee A?\nOptions:\n(A) V and U\n(B) V and T\n(C) U and S\n(D) M and N\n(E) T and U

Answer: (D)


Question: Two pipes can fill a tank in 20 and 12 hours, while third pipe will make the tank empty in 20 hours. If all three pipes operate simultaneously. In how many hours the tank will be filled ?\nOptions:\n(A) 5 Hours\n(B) 7 Hours\n(C) 8 Hours\n(D) 9 Hours\n(E) 12 Hours

Answer: (E)

In 1 hour it fill 1/20 + 1/12 - 1/20 = 1/12\nSo fill tank fill up in 12 Hours


Question: The speed of a boat in still water is 60kmph and the speed of the current is 30kmph. Find the speed downstream and upstream?\nOptions:\n(A) 40, 68 kmph\n(B) 40, 30 kmph\n(C) 90, 60 kmph\n(D) 40, 60 kmph\n(E) 90, 30 kmph

Answer: (E)

Speed downstream = 60 + 30 = 90 kmph\nSpeed upstream = 60 - 30 = 30 kmph


Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?\nOptions:\n(A) 9179\n(B) 3000\n(C) 2997\n(D) 2678\n(E) 2682

Answer: (B)


Question: The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher\nOptions:\n(A) 49\n(B) 88\n(C) 25\n(D) 18\n(E) 11

Answer: (A)

Total age of students is 32X16 = 512 Years\nTotal age inclusive of teacher = 33X (16+1) = 561\nSo, Teacher's age is 561-512 = 49 Yrs


Question: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?\nOptions:\n(A) 1:2\n(B) 1:9\n(C) 1:1\n(D) 1:9\n(E) 3:2

Answer: (A)


Question: If O is the center of the circle in the figure above and the area of the unshaded sector is 5, what is the area of the shaded region?\nOptions:\n(A) 25/√π\n(B) 30/√π\n(C) 20\n(D) twenty five (25) \n(E) 30

Answer: (D)


Question: How many seconds will a train 100 meters long take to cross a bridge 120 meters long if the speed of the train is 36 kmph?\nOptions:\n(A) 54 sec\n(B) 65 sec\n(C) 25 sec\n(D) 22 sec\n(E) 24 sec

Answer: (D)


Question: There are 250men and 150 women in a committee, if all will work they will complete 12 units per day, if all men work they will complete 15 units per day, how many units will women complete per day?\nOptions:\n(A) 2\n(B) 3\n(C) 4\n(D) 5\n(E) 7

Answer: (B)

I think there is a mistake in this question. If all men and women together complete 12 units, how only men can do 15 Units of work a day?\nForgetting about the reality, Women can do -3 units a day.


Question: Find the remainder when 6^23 is divided by 5 ?\nOptions:\n(A) 3\n(B) 2\n(C) 1\n(D) 0\n(E) 4

Answer: (C)


Question: The no. of girls in a class are seven times the no. of boys, which value cannever be the of total students?\nOptions:\n(A) 10\n(B) 15\n(C) 30\n(D) 34\n(E) 36

Answer: (C)

Let the boys are X, then girls are 7X, total = X+7X = 8X\nSo it should be multiple of 8, 30 is not a multiple of 8.


Question: In a race of 150 m, A gives B a start of 20 m. What distance will be covered by B ?\nOptions:\n(A) 100 m\n(B) 130 m\n(C) 170 m\n(D) 160 m\n(E) 180 m

Answer: (B)

Required distance = (150 - 20) m = 130 m


Question: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 110 miles per hour, while the slower train travels at 100 miles per hour. At 1 o’clock the faster train is 40 miles behind the slower one. How far apart are the two trains at 7 o'clock?\nOptions:\n(A) 20 miles\n(B) 80 miles\n(C) 90 miles\n(D) 120 miles\n(E) 400 miles

Answer: (A)

Answer = A. 20 miles\nRelational speed = 110 - 100 = 10 miles per hour\nIn 6 hours, difference = 10 * 6 = 60 miles\nFast train trailing 40 miles, so effective difference = 60 - 40 = 20 miles


Question: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?\nOptions:\n(A) 45%\n(B) 47%\n(C) 57%\n(D) 48%\n(E) 50%

Answer: (C)


Question: 2 persons can finish a job in 8 days. First person alone can finish the work in 24 days. How many days does the second person take to finish the job?\nOptions:\n(A) 10 days\n(B) 12 days\n(C) 14 days\n(D) 16 days\n(E) 18 days

Answer: (B)

2 persons can do work in 1 day = 1/8\nFirst person can do work in 1 day = 1/24\nSecond person can do work in 1 day = 1/8-1/24 = 1/12\nSo Second person can finish work in 12 days


Question: Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 480 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)\nOptions:\n(A) 32/15\n(B) 3/8\n(C) 8/5\n(D) 5/8\n(E) 5/3

Answer: (A)

Distance traveled by Eddy = 480 km\nTime taken by Eddy = 3 hours\nAverage speed of Eddy = 480/3 = 160 km/hour\nDistance traveled by Freddy = 300 km\nTime taken by Freddy = 4 hours\nAverage speed of Freddy = 300/4 = 75 km/hour\nRatio of average speed of Eddy to Freddy = 160/75 = 32/15


Question: A train 90 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 120 meters long is?\nOptions:\n(A) 29\n(B) 18\n(C) 14\n(D) 99\n(E) 13

Answer: (C)


Question: 80 370 860 1550 2440 ?\nOptions:\n(A) 900\n(B) 840\n(C) 750\n(D) 860\n(E) 3530

Answer: (E)


Question: In marathon Sam was faster than Jack. Denise beat Jim but lost to Jack. Who is the winner?\nOptions:\n(A) Sam\n(B) Jack\n(C) Denise\n(D) Jim\n(E) none

Answer: (A)

Denise beat Jim\nJack beat Jim\nSam beat Jack\nSo Sam is the winner


Question: A train 250 m long running at 72 kmph crosses a platform in 20 sec. What is the length of the platform?\nOptions:\n(A) 150m\n(B) 200m\n(C) 250m\n(D) 270m\n(E) 300 m

Answer: (A)


Question: Sarah's seafood restaurant gets a delivery of fresh seafood every day, 6 days per week, and her delivery company charges her dollars per delivery plus cents per item delivered. If lst week Sarah's seafood restaurant had an average of x items per day delivered, then which of the following is the total cost, in dollars, of last week's deliveries ?\nOptions:\n(A) 6cdx/100\n(B) d + 6cx/100\n(C) 6d + xc/100\n(D) 6d + 6xc/100\n(E) 6cdx

Answer: (D)

Answer will be D. Straightforward question.


Question: 85 white and black tiles will be used to form a 10x10 square pattern. If there must be at least one black tile in every row and at least one white tile in every column, what is the maximum difference between the number of black and white tiles that can be used?\nOptions:\n(A) 75\n(B) 80\n(C) 85\n(D) 90\n(E) 95

Answer: (A)

Answer = A\nPlease refer diagram below\n85 - 10 = 75


Question: If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 4 and 5K + 1 is 63, what is the value of K?\nOptions:\n(A)  22 10/11\n(B)  15 3/4\n(C)  22\n(D)  23\n(E)  25 3/10

Answer: (A)


Question: A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?\nOptions:\n(A) 11 days\n(B) 77 days\n(C) 15 days\n(D) 18 days\n(E) 19 days

Answer: (C)

B's 1 day work = (1/12 - 1/20) = 1/30\nNow, (A + B)'s 1 day work = (1/20 + 1/60) = 1/15\nSo, A and B together will complete the work in 15 days.


Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?\nOptions:\n(A) 145646\n(B) 236578\n(C) 645353\n(D) 456546\n(E) 220030

Answer: (E)


Question: How many zeroes are there at the end of the number N, if N = 100! + 200! ?\nOptions:\n(A) 73\n(B) 49\n(C) 20\n(D) 48\n(E) 24

Answer: (E)

The number of zeroes at the end of 100! will be less than the number of zeroes at the end of 200!\nHence it would be sufficient to calculate the number of zeroes at the end of 100!\nNumber of zeroes = [100/5] + [100/25] + [100/125] = 20 + 4 + 0 = 24


Question: How much is 80% of 40 is greater than 4/5 of 30?\nOptions:\n(A) 12\n(B) 27\n(C) 8\n(D) 12\n(E) 81

Answer: (C)


Question: In a bucket there are 3 green balls and 2 yellow balls. What is the probability of drawing at least one green ball when drawing two consecutive balls randomly?\nOptions:\n(A) 16/20\n(B) 9/10\n(C) 2/5\n(D) 3/5\n(E) ½

Answer: (B)

P(at least one green) = 1 - P(no green, so 2 yellow) = 1- 2/5*1/4 = 9/10.


Question: If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 1 strokes ?\nOptions:\n(A) 1/2\n(B) 7/8\n(C) 1/4\n(D) 1/8\n(E) 1/16

Answer: (A)

Left After 1st stroke = 1/2\nSo removed = 1- 1/2 = 1/2


Question: A farm used two harvesting machines, H and K, to harvest 100 acres of wheat. Harvesting machine H, working alone at its constant rate, harvested 40 acres of wheat in 8 hours. Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the remaining acres of wheat in 6 hours. Harvesting machine K harvested how many acres of wheat per hour?\nOptions:\n(A)  4\n(B)  8\n(C)  12\n(D)  13\n(E)  15

Answer: (A)

Rate of H = 6 acres/hr\nRemaining land to be harvested = 100 - 40 = 60\nRate of H and K = 60/6 = 10 acres/hr\nRate of K = 10 - 6 = 4


Question: The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:\nOptions:\n(A) 279\n(B) 283\n(C) 308\n(D) 318\n(E) 328

Answer: (C)


Question: The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by 3 months .Find the age of the teacher.\nOptions:\n(A) 22\n(B) 25\n(C) 8\n(D) 27\n(E) 19

Answer: (B)

Sum of the ages of the students = 39×15 = 585\nNew average = 15 years 3 months = 15 + 1414 year\nSum of the ages of students and teacher = 40×15141514 = 40×614614 = 610\nTeacher age = 610 – 585 = 25 years.


Question: Solve:-\n333 x 333 x 333 + 555 x 555 x 555 = ?(333 x 333 - 333 x 555 + 555 x 555)\nOptions:\n(A) 888\n(B) 333\n(C) 555\n(D) 988\n(E) 889

Answer: (A)


Question: A train 350 m long, running with a speed of 63 km/hr will pass a tree in?\nOptions:\n(A) 18 sec\n(B) 20 sec\n(C) 76 sec\n(D) 15 sec\n(E) 17 sec

Answer: (B)


Question: The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?\nOptions:\n(A) 9\n(B) 8\n(C) 7\n(D) 6\n(E) 2

Answer: (A)


Question: A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15?\nOptions:\n(A) 13\n(B) 11\n(C) 9\n(D) 1\n(E) 3

Answer: (D)


Question: John makes $50 a week from his job. He earns a raise and now makes $70 a week. What is the % increase?\nOptions:\n(A) 16%\n(B) 16.66%\n(C) 17.9%\n(D) 20%\n(E) 40%

Answer: (E)


Question: What approximate value should come in place of question mark (?) in the following equation\n287.532 + 1894.029 – 657.48 = 643.095 + ?\nOptions:\n(A) 870\n(B) 790\n(C) 880\n(D) 770\n(E) 890

Answer: (C)


Question: A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?\nOptions:\n(A) 40\n(B) 48\n(C) 45\n(D) 50\n(E) 25

Answer: (B)


Question: The sale price sarees listed for Rs.400 after successive discount is 15% and 5% is?\nOptions:\n(A) 338\n(B) 323\n(C) 342\n(D) 882\n(E) 212

Answer: (B)


Question: Express a speed of 720 kmph in meters per second?\nOptions:\n(A) 120 mps\n(B) 200 mps\n(C) 181 mps\n(D) 190 mps\n(E) 125 mps

Answer: (B)


Question: A man sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?\nOptions:\n(A) 9% loss\n(B) 400\n(C) 4000\n(D) 324\n(E) 200

Answer: (A)


Question: Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?\nOptions:\n(A) 6/17\n(B) 6/11\n(C) 6/18\n(D) 6/19\n(E) 6/10

Answer: (B)

Part filled by (A + B + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20\nPart filled by C in 3 minutes = 3/10\nRequired ratio = 3/10 * 20/11 = 6/11


Question: What is the smallest positive integer x, such that 1,152x is a perfect cube?\nOptions:\n(A) 4\n(B) 6\n(C) 8\n(D) 12\n(E) 18

Answer: (D)

We need to make 1152x a perfect cube, hence we need to have the powers a multiple of 3\n1152 = 2^7*3^2\nThe minimum value of x for which 1152x is a perfect cube = 2^2*3 = 12


Question: A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?\nOptions:\n(A) 22\n(B) 88\n(C) 15\n(D) 66\n(E) 81

Answer: (C)

B's 1 day work = (1/12 - 1/20) = 1/30\nNow, (A + B)'s 1 day work = (1/20 + 1/60) = 1/15\nSo, A and B together will complete the work in 15 days.


Question: The Average of six numbers is 8. The average of the first two is 11 and the average of the last three is 4. What is the middle number?\nOptions:\n(A) A) 15\n(B) B) 8\n(C) C) 6\n(D) D) 14\n(E) E) 9

Answer: (D)

The total of six numbers = 6X8 = 48\nThe total of first 2 and last 3 numbers is = 2 X 11+3 X 4 = 34\nSo, the middle number is (48 - 34 ) = 14


Question: Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?\nOptions:\n(A) 9269\n(B) 9261\n(C) 9262\n(D) 9231\n(E) 9263

Answer: (B)


Question: What is the maximum number of pieces of birthday cake of size 2” by 2” that can be cut from a cake 20” by 20”?\nOptions:\n(A) 5\n(B) 100\n(C) 16\n(D) 20\n(E) 25

Answer: (B)

The prompt is essentially asking for the maximum number of 2 x 2 squares that can be cut from a larger 20 by 20 square. Since each 'row' and each 'column' of the larger square can be sub-divided into 10 'pieces' each, we have (10)(10) = 100 total smaller squares (at maximum).


Question: A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 60 minutes. When both pipes are opened, find when the cistern will be full?\nOptions:\n(A) 17 minutes\n(B) 87 minutes\n(C) 30 minutes\n(D) 27 minutes\n(E) 11 minutes

Answer: (C)


Question: A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?\nOptions:\n(A) 20\n(B) 40\n(C) 45\n(D) 25\n(E) 60

Answer: (A)


Question: Given a two-digit number, the unit's digit exceeds its ten's digit by 4 and the product of the given number and the sum of its digits is equal to 90, which of the options is the number?\nOptions:\n(A) 26\n(B) 15\n(C) 37\n(D) 62\n(E) 73

Answer: (B)

Using the elimination method the option that fits this description is 15\n5-1 = 4 (unit's digit that exceeds its ten's digit by 4)\n15*6 = 90 (the product of the given number and the sum of its digits is equal to 175)


Question: There are 3 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?\nOptions:\n(A) 90\n(B) 120\n(C) 45\n(D) 180\n(E) 200

Answer: (C)

Number of ways of selecting 2 fiction books = 3C2\nNumber of ways of selecting 2 non fiction books = 6C2\n3C2 * 6C2 = 3 * 15 = 45


Question: At 15:00 there were 21 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 8 students left the lab, how many students were in the computer lab at 15:44 ?\nOptions:\n(A) 7\n(B) 14\n(C) 25\n(D) 27\n(E) 30

Answer: (D)

Initial no of students + 3 * (1 + No of possible 3 minute intervals between 15:03 and 15:44) -\n8 *(1 + No of possible 10 minute intervals between 15:10 and 15:44)\n20 + 3*14 -8 * 4 = 27


Question: The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?\nOptions:\n(A) 22\n(B) 56\n(C) 88\n(D) 66\n(E) 21

Answer: (B)


Question: A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?\nOptions:\n(A) 33\n(B) 87\n(C) 350\n(D) 88\n(E) 277

Answer: (C)


Question: Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 450 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)\nOptions:\n(A) 8/3\n(B) 2\n(C) 8/5\n(D) 5/8\n(E) 5/3

Answer: (B)

Distance traveled by Eddy = 450 km\nTime taken by Eddy = 3 hours\nAverage speed of Eddy = 450/3 = 150 km/hour\nDistance traveled by Freddy = 300 km\nTime taken by Freddy = 4 hours\nAverage speed of Freddy = 300/4 = 75 km/hour\nRatio of average speed of Eddy to Freddy = 150/75 = 2


Question: A train 410 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?\nOptions:\n(A) 40\n(B) 87\n(C) 26\n(D) 21\n(E) 44

Answer: (E)

Speed = 45 * 5/18 = 25/2 m/sec\nTotal distance covered = 410 + 140 = 550 m\nRequired time = 550 * 2/25 = 44 sec


Question: What percent is 120 of 80?\nOptions:\n(A) 150 %\n(B) 134 1/3 %\n(C) 135 1/3 %\n(D) 140 1/3 %\n(E) 143 1/3 %

Answer: (A)


Question: 30 pens and 75 pencils were purchased for 570. If the average price of a pencil was 2.00, find the average price of a pen.\nOptions:\n(A) 10\n(B) 11\n(C) 12\n(D) 13\n(E) 14

Answer: (E)

Since average price of a pencil = 2\n∴ Price of 75 pencils = 150\n∴ Price of 30 pens = (570 – 150) = 360\n∴ Average price of a pen = 420⁄60 = 14


Question: Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 1/5, 3/8, and 3/7, respectively, what is the probability that exactly two of the three players will win but one will lose?\nOptions:\n(A) 63/280\n(B) 1/280\n(C) 3/56\n(D) 3/35\n(E) 7/40

Answer: (A)


Question: Find the product of the localvalue and absolutevalue of 6 in 20618?\nOptions:\n(A) 6300\n(B) 1100\n(C) 1200\n(D) 1300\n(E) 3600

Answer: (E)

Local value of 6 = 6 x 100 = 600\nPlace value of 6 = 6\nThere fore = 6 x 600 = 3600


Question: The product of face value of 3 and local value of 6 in the numeral 78934064 is\nOptions:\n(A) 18\n(B) 24\n(C) 180\n(D) 240\n(E) 108

Answer: (C)

(Face value of 3) x (Local value of 6) = (3 x 60) = 180


Question: Antony, Ben, and Charles each try independently to win a carnival game. If their individual probabilities for success are 1/5, 3/8, and 2/7, respectively, what is the probability that exactly two of the three players will win but one will lose?\nOptions:\n(A) 3/140\n(B) 1/28\n(C) 7/40\n(D) 3/35\n(E) 5/40

Answer: (C)


Question: (998-1)(998-2)(998-3)........(998-n)=....... when n>1000\nOptions:\n(A) 4\n(B) 3\n(C) 2\n(D) 1\n(E) 0

Answer: (E)

The term (998-998) makes the whole expression = 0.


Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?\nOptions:\n(A) 288\n(B) 270\n(C) 999\n(D) 278\n(E) 121

Answer: (B)


Question: In a particular year, the month of january had exactly 4 thursdays, and 4 sundays. On which day of the week did january 1st occur in the year.\nOptions:\n(A) 33\n(B) Monday\n(C) 299\n(D) 299\n(E) 277

Answer: (B)

Ans: If a month has 31 days, and it starts with sunday, Then Sundays, Mondays, tuesdays are 5 for that month. If this month starts with monday, then mondays, tuesdays, and wednesdays are 5 and remaining days are 4 each. so this month start with Monday.


Question: A no.when divided by 223 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?\nOptions:\n(A) 2\n(B) 7\n(C) 9\n(D) 11\n(E) 15

Answer: (D)


Question: What percent is 120 of 60?\nOptions:\n(A) 133 1/3 %\n(B) 134 1/3 %\n(C) 200 %\n(D) 140 1/3 %\n(E) 143 1/3 %

Answer: (C)


Question: How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?\nOptions:\n(A) 482\n(B) 442\n(C) 552\n(D) 662\n(E) 526

Answer: (A)


Question: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days?\nOptions:\n(A) 1/8\n(B) 1/3\n(C) 1/6\n(D) 1/2\n(E) 5/3

Answer: (C)

A's one day's work = 1/30\nB's one day's work = 1/45\n(A + B)'s one day's work = 1/30 + 1/45 = 1/18\nThe part of the work completed in 3 days = 3 (1/18) = 1/6.


Question: If six persons sit in a row, then the probability that three particular persons are always together is -.\nOptions:\n(A) 1/5\n(B) 1/7\n(C) 1/9\n(D) 1/2\n(E) 2/7

Answer: (A)

3!4! Required probability = 3!4!/6! = 1/5


Question: (y^n - b^n) is completely divisible by (y - b), when\nOptions:\n(A) n is odd natural number\n(B) n is even natural number\n(C) n is any natural number\n(D) n is prime\n(E) None

Answer: (C)

For every natural number n, (y^n - b^n) is completely divisible by (y - b).


Question: If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 7 (B + G) is ?\nOptions:\n(A) more than 7\n(B) Less than 3\n(C) More than 3\n(D) Less than 1/3\n(E) none of these

Answer: (A)

Let number of boys = x\nLet number of girls = y\nTherefore x/y = B and y/x = G\n7(B + G) = 7[(x/y) + (y/x)] = 7[(x2 + y2)/xy] > 7


Question: Look at this series: 0.25, 1.75, ____, 85.75, 600.25, ... What number should fill the blank?\nOptions:\n(A) 11.25\n(B) 12.25\n(C) 13.25\n(D) 9.25\n(E) 10.75

Answer: (B)

This is a simple multiplication series. Each number is 7 times greater than the previous number.


Question: Find the mean proportional between 49 & 64?\nOptions:\n(A) A) 59\n(B) B) 61\n(C) C) 56\n(D) D) 65\n(E) E) 67

Answer: (C)

Formula = √a×b\nA = 49 and B = 64\n√49×64 = 7 × 8 = 56


Question: The average age of applicants for a new job is 10, with a standard deviation of 8. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?\nOptions:\n(A) 8\n(B) 16\n(C) 17\n(D) 18\n(E) 34

Answer: (C)

Minimum age = Average - 1 Standard deviation = 10 - 8 = 2\nMaximum age = average + 1 Standard deviation = 10+ 8 = 18\nMaximum number of different ages of the applicants = 18 - 2 + 1 = 17


Question: The average mark obtained by 22 candidates in an examination is 49. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?\nOptions:\n(A) 22\n(B) 0\n(C) 99\n(D) 88\n(E) 66

Answer: (D)

It is clear that 22 x 49 = 10 x 55 + K + 11 x 40 ⇒⇒ K = 88


Question: The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.\nIn a game of blackjack, if your first card is a spade, what are the odds that it is an ace?\nOptions:\n(A) 1/52\n(B) 1/26\n(C) 1/13\n(D) 1/4\n(E) 5/13

Answer: (C)

There are 13 spades, the probability that the spade we already have is an ace is therefore 1/13.


Question: What should come in place of the question mark (?) in the following equation?\n45789+ 34567 = 610+ ?\nOptions:\n(A) 96543\n(B) 13678\n(C) 23456\n(D) 56789\n(E) 79746

Answer: (E)


Question: Find the mean proportional between 36 & 49?\nOptions:\n(A) A) 42\n(B) B) 61\n(C) C) 63\n(D) D) 65\n(E) E) 67

Answer: (A)

Formula = √a×b\nA = 36 and B = 49\n√36×49 = 6 × 7 = 42


Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.\nOptions:\n(A) 150 meter\n(B) 250 meter\n(C) 200 meter\n(D) 480 meter\n(E) 153 meter

Answer: (A)

Speed = 60*(5/18) m/sec = 50/3 m/sec\nLength of Train (Distance) = Speed * Time\n(50/3) * 9 = 150 meter


Question: The compound ratio of 2/3, 6/7, 4/3 and 1/8 is given by?\nOptions:\n(A) 2/21\n(B) 1/48\n(C) 1/98\n(D) 1/96\n(E) 1/68

Answer: (A)


Question: Which of the options is a two-digit number, which has a unit's digit that exceeds its ten's digit by 6 and the product of the given number and the sum of its digits is equal to 136.\nOptions:\n(A) 82\n(B) 93\n(C) 39\n(D) 28\n(E) 17

Answer: (E)

Using the elimination method the option that fits this description is 17\n7-1 = 3 (unit's digit that exceeds its ten's digit by 3)\n17*8 = 136 (the product of the given number and the sum of its digits is equal to 175)


Question: A can do a piece of work in 3 hours; B and C together can do it in 2 hours, which A and B together can do it in 2 hours. How long will C alone take to do it?\nOptions:\n(A) 2hours\n(B) 5hours\n(C) 6hours\n(D) 4hours\n(E) 3hours

Answer: (E)

A's 1 hour work = 1/3;\n(B + C)'s 1 hour work = 1/2;\n(A + B)'s 1 hour work = 1/2\n(A + B + C)'s 1 hour work = (1/3 + 1/2) = 5/6\nC's 1 hour work = (5/6 - 1/2) = 1/3\nC alone will take 3 hours to do the work.


Question: Using all the letters of the word "THURSDAY", how many different words can be formed?\nOptions:\n(A) 8!\n(B) 1\n(C) 7\n(D) 6\n(E) 5

Answer: (A)

Total number of letters = 8\nUsing these letters the number of 8 letters words formed is 8P8 = 4.


Question: A boy runs 200 metres in 60 seconds. What is his speed ?\nOptions:\n(A) 12 km/hr\n(B) 24 km/hr\n(C) 13 km/hr\n(D) 14 km/hr\n(E) 16 km/hr

Answer: (A)


Question: The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 70 with him, what was the average amount with the group before his joining the group?\nOptions:\n(A) s. 25.6\n(B) s. 70/3\n(C) s. 16.6\n(D) s. 26/3\n(E) s. 25

Answer: (B)

Total members in the group = 7\nAverage amount = Rs. 30\nTotal amount with them = 7 * 30 = Rs. 210\nOne number has Rs. 70. So, the amount with remaining 6 people = 210 - 70 = Rs. 140\nThe average amount with them = 140/6 = Rs. 70/3


Question: Which is longest: a foot, a yard or an inch?\nOptions:\n(A) a yard\n(B) inch\n(C) foot\n(D) feet\n(E) cm

Answer: (A)


Question: For some integer p, p^2 - 5 is divisible by all of the following EXCEPT\nOptions:\n(A) 30\n(B) 38\n(C) 41\n(D) 29\n(E) 31

Answer: (A)

Hint: p^2-5 (p is an integer) is never multiple of 3 (try to prove this), hence 30 is out.


Question: If 14m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?\nOptions:\n(A) 2m −1\n(B) 4m\n(C) 5m\n(D) m/5\n(E) 6m/5

Answer: (C)

14m - n = p\nAdd n to both sides:\n14m = n + p\nAdd m to both sides:\n15m = n + p + m\nNow, divide both sides by 3\n5m = (n + p + m)/3 = the average of n, p, and m


Question: A Martian bat flies at 60 yards per second from its nest to a dry lake. When it arrives there, it immediately continues at 45 yards per second to a nearby cave. If the distance between the lake and the cave is half the distance between the nest and the lake, what is the average speed, in yards per second, of the bat during the whole flight?\nOptions:\n(A) 36\n(B) 40\n(C) 42\n(D) 54\n(E) 65

Answer: (D)

Distance from nest to lake = d, Speed = 60, Time = d/60\nDistance from lake to cave = d/2, Speed = 45, Time = d/90\nAverage speed = (d + d/2)/(d/60 + d/90) = (3/2)/(1/36) = 54


Question: There are 16 teams in a tournament. If during the first round, each team plays every other team exactly once, how many games will be played in the first round?\nOptions:\n(A) 15\n(B) 30\n(C) 120\n(D) 240\n(E) 256

Answer: (C)

Number of ways to pick 2 teams from a total of 16 = 16C2 = 16!/14!*2! = 120. Hence