Question: Steroid hormones are made of what kind of matter?\nOptions:\n- (A) increases a body's strength\n- (B) solid, liquid, gas\n- (C) Something coming from a gland\n- (D) diverse hydrophobic molecules\n- (E) it helps plants in growing\n- (F) Something that comes in a bundle of fibers\n- (G) A compound that donates proton\n- (H) Chemical energy

Answer: (D)

Steroid hormones are made of lipids, such as phospholipids and cholesterol. Lipids Lipids are diverse hydrophobic molecules. Steroid hormones are made of diverse hydrophobic molecules, such as phospholipids and cholesterol.


Question: A thing that is what makes up the excretory system.\nOptions:\n- (A) matter\n- (B) vital\n- (C) omniscient\n- (D) external\n- (E) toads\n- (F) food\n- (G) always angry\n- (H) animals

Answer: (B)

Organs of excretion make up the excretory system. All internal organs are vital organs. A thing that is internal and vital make up the excretory system.


Question: What is part of an animal's excretory system?\nOptions:\n- (A) alveoli\n- (B) garbage chute\n- (C) pollen\n- (D) glucose\n- (E) bloodstream\n- (F) kidneys\n- (G) food\n- (H) intake

Answer: (F)

Organs of excretion make up the excretory system. Leptospiral organisms cause infection in the kidneys and are excreted in urine. Kidneys are part of the excretory system.


Question: Rs. 5600 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/7:1/7:1/14?\nOptions:\n(A) 300\n(B) 992\n(C) 1120\n(D) 552\n(E) 312

Answer: (C)


Question: The edge of a cube is 7a cm. Find its surface?\nOptions:\n(A) 24a8\n(B) 24a4\n(C) 24a1\n(D) 24a2\n(E) 294a2

Answer: (E)


Question: A board 7ft. 9 inches long is divided into 3 equal parts . What is the length of each part?\nOptions:\n(A) 31 inches\n(B) 32 inches\n(C) 33 inches\n(D) 34 inches\n(E) 35 inches

Answer: (A)

7 ft 9 in is 84 + 9 = 93 inches. so 93/3 = 31 inches or 2 ft. 7 inch.


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 3/2 %\n(C) 28 1/2 %\n(D) 22 1/2 %\n(E) 32 1/2 %

Answer: (D)


Question: There are different 15 circles. What is the number of the greatest possible points with which the circles intersect?\nOptions:\n(A) 390\n(B) 100\n(C) 110\n(D) 180\n(E) 210

Answer: (E)

Maximum points of intersection between n different circles = n*(n - 1) = 15*14 = 210


Question: If x is the product of the integers from 1 to 150, inclusive, and 5^y is a factor of x, what is the greatest possible value of y ?\nOptions:\n(A) 30\n(B) 34\n(C) 36\n(D) 37\n(E) 39

Answer: (D)

It basically asks for the number of 5s in 150!\n150/5 + 150/25 + 150/125 = 30 + 6 + 1. Hence 37


Question: Company Z spent 1/4 of its revenues last year on marketing and 1/7 of the remainder on maintenance of its facilities. What fraction of last year’s original revenues did company Z have left after its marketing and maintenance expenditures?\nOptions:\n(A) 5/14\n(B) 1/2\n(C) 17/28\n(D) 9/14\n(E) 9/11

Answer: (D)

Total revenues = x\nSpent on marketing = x/4\nRemaining amount = x-x/4 = 3x/4\n1/7 of the remainder on maintenance of its facilities = 3x/4*1/7 = 3x/28\nAmount left = 3x/4-3x/28 = 9x/14


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 sec\n(B) 42 sec\n(C) 45 sec\n(D) 48 sec\n(E) 58 sec

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: The average height in a group of 4 people is 175 cm. If the average height increased when 2 more people were added to the group, which of the following cannot be the heights of the two new people?\nOptions:\n(A) 179 cm and 172 cm\n(B) 181 cm and 169 cm\n(C) 173 cm and 178 cm\n(D) 176 cm and 176 cm\n(E) 174 cm and 177 cm

Answer: (B)

Denote X as the sum of the heights of the two new people. From the stem it follows that (700+X)6>175. This reduces to X>350. Only the heights from B add up to 350 cm. All other pairs add up to more than 350 cm.


Question: A shopkeeper gave an additional 20 per cent concession on the reduced price after giving 30 per cent standard concession on an article. If Arun bought that article for 1,120, what was the original price?\nOptions:\n(A) 3,000\n(B) 4,000\n(C) 2,400\n(D) 2,000\n(E) None of these

Answer: (D)


Question: If a man can cover 18 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?\nOptions:\n(A) 288\n(B) 162\n(C) 878\n(D) 168\n(E) 243

Answer: (E)

18 m/s = 12 * 18/5 kmph\n3 hours 45 minutes = 3 3/4 hours = 15/4 hours\nDistance = speed * time = 18 * 18/5 * 15/4 km = 243 km.


Question: There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one liter every hour in A, it gets filled up like 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20, third hour it has 40 and so on). If tank B is 1/32 filled after 21 hours, what is the total duration required to fill it completely?\nOptions:\n(A) 22\n(B) 28\n(C) 269\n(D) 26\n(E) 82

Answer: (D)

The data related to the first tank A is not necessary. As you can see, the capacity that gets filled in the tank B after each hour is doubled. So If the tank is 1/32nd part is full after 21 hours, it is 1/16th part full after 22 hours, 1/8th part full after 23 hours, 1/4th part full after 24 hours, 1/2 full after 25 hours, completely full after 26 hours.


Question: The inverse ratio of 4: 2: 1 is?\nOptions:\n(A) 2:4:8\n(B) 2:3:9\n(C) 2:3:2\n(D) 2:3:6\n(E) 2:3:1

Answer: (A)


Question: Consider a quarter of a circle of radius 20. Let r be the radius of the circle inscribed in this quarter of a circle. Find r.\nOptions:\n(A) 20*(sqr2 -1) \n(B) 8*(sqr3 -1) \n(C) 4*(sqr7 - 1) \n(D) 12* (sqr7 -1) \n(E) None of these

Answer: (A)

I got 20/(sqr2 +1) and just forgot to multiply by (sqr2 -1).


Question: What distance will be covered by a city bus moving at 72 kmph in 30 seconds?\nOptions:\n(A) 200 m\n(B) 300 m\n(C) 600 m\n(D) 500 m\n(E) 400 m

Answer: (C)


Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 60 as remainder. Find the no. is?\nOptions:\n(A) 145646\n(B) 236578\n(C) 645353\n(D) 456546\n(E) 220060

Answer: (E)


Question: What percent is 240 of 90?\nOptions:\n(A) 133 1/3 %\n(B) 134 1/3 %\n(C) 135 1/3 %\n(D) 266 2/3 %\n(E) 143 1/3 %

Answer: (D)


Question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 23. What is the middle number?\nOptions:\n(A) 25\n(B) 27\n(C) 15\n(D) 32\n(E) 34

Answer: (C)

The total of seven numbers = 7X18 = 126\nThe total of first 3 and last 3 numbers is = 3 X 14+3 X 23 = 111\nSo, the middle number is (126 - 111 ) = 15


Question: A train 300 m long is running at a speed of 99 km/hr. In what time will it pass a bridge 195 m long?\nOptions:\n(A) 17\n(B) 18\n(C) 19\n(D) 20\n(E) 21

Answer: (B)

Speed = 99 * 5/18 = 55/2 m/sec\nTotal distance covered = 300 + 195 = 495 m\nRequired time = 495 * 2/55 = 18 sec


Question: The average of 13 result is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th result?\nOptions:\n(A) 35\n(B) 37\n(C) 46\n(D) 48\n(E) 50

Answer: (C)

Sum of all the 13 results = 13 * 60 = 780\nSum of the first 7 of them = 7 * 57 = 399\nSum of the last 7 of them = 7 * 61 = 427\nSo, the 8th number = 427 + 399 - 780 = 46.


Question: How much 60% of 50 is greater than 40% of 30?\nOptions:\n(A) 18\n(B) 99\n(C) 77\n(D) 66\n(E) 12

Answer: (A)


Question: The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?\nOptions:\n(A) 15\n(B) 66\n(C) 77\n(D) 52\n(E) 42

Answer: (A)


Question: How many cubes will have 4 coloured sides and two non-coloured sides ?\nOptions:\n(A) 5\n(B) 4\n(C) 3\n(D) 2\n(E) 1

Answer: (B)

Only 4 cubes situated at the corners of the cuboid will have 4 coloured and 2 non-coloured sides.


Question: John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?\nOptions:\n(A) 1\n(B) 3\n(C) 5\n(D) 6\n(E) 9

Answer: (A)

If he draws any combination of 3 socks he will definitely have the matching pair of either colour.


Question: Efrida and Frazer who live 12 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: (D)

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


Question: The length of a rectangle is increased by 20% and its breadth is decreased by 20%. What is the effect on its area?\nOptions:\n(A) 1288\n(B) 9600\n(C) 1000\n(D) 10000\n(E) 2887

Answer: (B)


Question: Which is odd one\n10, 25, 45, 54, 60, 75, 80\nOptions:\n(A) 10\n(B) 45\n(C) 54\n(D) 60\n(E) 75

Answer: (C)


Question: What is the are of an equilateral triangle of side 24 cm?\nOptions:\n(A) 66âˆš3 cm2\n(B) 74âˆš3 cm2\n(C) 64âˆš3 cm2\n(D) 64âˆš5 cm2\n(E) 144âˆš3 cm2

Answer: (E)

Area of an equilateral triangle = âˆš3/4 S2\nIf S = 24, Area of triangle = âˆš3/4 * 24 * 24 = 144âˆš3 cm2;


Question: If P(32, 6) = kC (32, 6), then what is the value of k?\nOptions:\n(A) 6\n(B) 32\n(C) 120\n(D) 720\n(E) None

Answer: (D)


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) 124432\n(B) 145366\n(C) 157768\n(D) 178432\n(E) 220030

Answer: (E)


Question: Which of the following expressions are different in value?\n(A) (2x + 3y)2\n(B) (2x + y)2 + 8y(x + y)\n(C) (2x – y)2 – 8y(x + y)\n(D) 22(x + y)2 + 4xy + 5y2\nOptions:\n(A) A and B\n(B) B and C only\n(C) A, B and D only\n(D) B and D only\n(E) All are different

Answer: (B)


Question: A train 650 m long is running at a speed of 117 km/hr. In what time will it pass a bridge 325 m long?\nOptions:\n(A) 30\n(B) 35\n(C) 40\n(D) 45\n(E) 50

Answer: (A)

Speed = 117 * 5/18 = 65/2 m/sec\nTotal distance covered = 650 + 325 = 975 m\nRequired time = 975 * 2/65 = 30 sec


Question: Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?\nOptions:\n(A) 22\n(B) 12\n(C) 88\n(D) 99\n(E) 27

Answer: (B)


Question: Last year, Company M made q dollars in profit. Half of the profit went to the company’s founder. The rest was split evenly among his Three other partners. In terms of q, how much did each of the other partners receive?\nOptions:\n(A) q/4\n(B) q/5\n(C) q/6\n(D) q/7\n(E) q/8

Answer: (C)

Profit = q\nProfit to company founder = q/2\nProfit to other partners = q/2\nNumber of other partners = 3\nProfit to each partner = (q/2)/3 = q/6


Question: There are 23 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?\nOptions:\n(A) 39\n(B) 40\n(C) 51\n(D) 58\n(E) 63

Answer: (A)


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) 45 Years\n(B) 46 Years\n(C) 49 Years\n(D) 52 Years\n(E) 54 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: A football field is 9600 square yards. If 1200 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 5600 square yards?\nOptions:\n(A) 450\n(B) 600\n(C) 700\n(D) 2400\n(E) 3200

Answer: (C)

Answer C) 9600 yards need 1200 lbs\n1 Yard will need 1200/9600 = 1/8 lbs\n3600 Yards will need 1/8* 5600 Yards = 700lbs


Question: A train 250 m long running at 72 kmph crosses a platform in 50 sec. What is the length of the platform?\nOptions:\n(A) 150m\n(B) 200m\n(C) 250m\n(D) 750m\n(E) 300 m

Answer: (D)


Question: Which of the following numbers is divisible by 8?\nOptions:\n(A) 10021\n(B) 17511\n(C) 26778\n(D) 18520\n(E) 26711

Answer: (D)

18520. This is the only option with last two digits divisible by 8


Question: Find the largest 4 digit number which isexactly divisible by 88?\nOptions:\n(A) 7890\n(B) 8900\n(C) 9944\n(D) 9976\n(E) 10000

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: The average of 11 results is 49, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?\nOptions:\n(A) 21\n(B) 67\n(C) 18\n(D) 25\n(E) 23

Answer: (B)


Question: If a man can cover 12 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?\nOptions:\n(A) 228\n(B) 162\n(C) 5528\n(D) 256\n(E) 191

Answer: (B)

12 m/s = 12 * 18/5 kmph\n3 hours 45 minutes = 3 3/4 hours = 15/4 hours\nDistance = speed * time = 12 * 18/5 * 15/4 km = 162 km.


Question: If the length of an edge of cube P is twice the length of an edge of cube Q, what is the ratio of the volume of cube Q to the volume of cube P?\nOptions:\n(A) 1/8\n(B) 1/4\n(C) 1/3\n(D) 1/7\n(E) 1/9

Answer: (A)

The length of cube Q = 1;\nThe length of cube P = 2;\nThe ratio of the volume of cube Q to the volume of cube P = 1^3/2^3 = 1/8.


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) 6/19\n(B) 6/11\n(C) 6/12\n(D) 6/10\n(E) 6/38

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: 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 80 miles per hour. At 2 o’clock the faster train is 20 miles behind the slower one. How far apart are the two trains at 5 o'clock?\nOptions:\n(A) 60 miles\n(B) 80 miles\n(C) 90 miles\n(D) 130 miles\n(E) 400 miles

Answer: (D)

Answer = D. 130 miles\nRelational speed = 130 - 80 = 50 miles per hour\nIn 3 hours, difference = 50 * 3 = 150 miles\nFast train trailing 20 miles, so effective difference = 150 - 20 = 130 miles


Question: Anmol can eat 27 pastries in a hour.\nAakriti can eat 2 pastries in 10 minutes.\nDivya can eat 7 pastries in 20 minutes.\nHow long will it take them to eat a 180 pastries ?\nOptions:\n(A) 2 hours.\n(B) 1 hours.\n(C) 5 hours.\n(D) 4 hours.\n(E) 3 hours.

Answer: (E)

In one hour, Anmol eats 27 pastries, Aakriti eats 12, and Divya eats 21. A total of 60 pastries. Therefore 180 pastries would take 180 ÷ 60 = 3 hours.


Question: There are 6561 balls out of them 1 is heavy.Find the min. no. of times the balls have to be weighed for finding out the haevy ball.\nOptions:\n(A) 7\n(B) 8\n(C) 9\n(D) 10\n(E) 11

Answer: (B)

The simple logic is to divide total balls into three sets. Weigh any two sets against each other(these two must contain equal number of balls). From this we can identify which set contains the heavy ball. Divide this set into three and repeat until you find the heavier ball. Under this logic, the minimum number of weighings required turns out to be the smallest integer greater than or equal to log(n), where n is the total number of balls and the base of logarithm is 3. Or simply [log(n)/log(3)] with any base. Here, n = 6561. log 6561 / log 3 = 8


Question: What is the area of a square with perimeter 12P ?\nOptions:\n(A)  16p^2\n(B)  4P\n(C)  9P^2\n(D)  P/16\n(E)  P^2/16

Answer: (C)


Question: The average of five numbers is 9. The average of first two numbers is 7 and the average of last two numbers is 12. What is the middle number?\nOptions:\n(A) 7\n(B) 8\n(C) 5\n(D) 10\n(E) 6

Answer: (A)

The total of five numbers = 5x9 = 45\nThe total of first 2 and last 2 numbers is = 2 X 7+2 X 12 = 38\nSo, the middle number is (45 - 38 ) = 7


Question: A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?\nOptions:\n(A) 18 days\n(B) 11 days\n(C) 77 days\n(D) 188 days\n(E) 66 days

Answer: (A)


Question: Express 50 mps in kmph?\nOptions:\n(A) 172\n(B) 160\n(C) 150\n(D) 180\n(E) 120

Answer: (D)


Question: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?\nOptions:\n(A) 5 kmph\n(B) 7 kmph\n(C) 9 kmph\n(D) 8 kmph\n(E) 1 kmph

Answer: (D)

Speed downstream = d/t = 85/(2 1/2) = 34 kmph\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\nThe speed of the stream = (34 - 18)/2 = 8 kmph


Question: A train 250 m long is running at a speed of 27 km/hr. In what time will it pass a bridge 200 m long?\nOptions:\n(A) 40\n(B) 45\n(C) 50\n(D) 55\n(E) 60

Answer: (E)

Speed = 27 * 5/18 = 15/2 m/sec\nTotal distance covered = 250 + 200 = 450 m\nRequired time = 450 * 2/15 = 60 sec


Question: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?\nOptions:\n(A) 7 kmph\n(B) 6 kmph\n(C) 5 kmph\n(D) 8 kmph\n(E) 2 kmph

Answer: (D)

Speed downstream = d/t = 85/(2 1/2) = 34 kmph\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\nThe speed of the stream = (34 - 18)/2 = 8 kmph


Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?\nOptions:\n(A) 22 sec\n(B) 16 second\n(C) 77 sec\n(D) 55 sec\n(E) 17 sec

Answer: (B)


Question: The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?\nOptions:\n(A) 22\n(B) 75\n(C) 44\n(D) 28\n(E) 12

Answer: (B)


Question: What is the are of an equilateral triangle of side 14 cm?\nOptions:\n(A) 66âˆš3 cm2\n(B) 74âˆš3 cm2\n(C) 64âˆš3 cm2\n(D) 49âˆš3 cm2\n(E) 14âˆš3 cm2

Answer: (D)

Area of an equilateral triangle = âˆš3/4 S2\nIf S = 14, Area of triangle = âˆš3/4 * 14 * 14 = 49âˆš3 cm2;


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) 1/4\n(C) 1/9\n(D) 1/6\n(E) 1/1

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: How many seconds will a train 100 meters long take to cross a bridge 250 meters long if the speed of the train is 36 kmph?\nOptions:\n(A) 54 sec\n(B) 35 sec\n(C) 25 sec\n(D) 45 sec\n(E) 24 sec

Answer: (B)


Question: There are 5 sweets – Jumun, Kulfi, Peda, Laddu and Jilabi that I wish to eat on 5 consecutive days – Monday through Friday, one sweet a day, based on the following self imposed constraints:\n1) Laddu is not eaten on Monday\n2) If Jamun is eaten on Monday, then Laddu must be eaten on Friday\n3) If Laddu is eaten on Tuesday, Kulfi should be eaten on Monday\n4) Peda is eaten the day following the day of eating Jilabi\nBased on the above, peda can be eaten on any day except?\nOptions:\n(A) Tuesday\n(B) Monday\n(C) Wednesday\n(D) Friday\n(E) Sunday

Answer: (B)

Peda is eaten the day following the day of eating Jilabi, So Peda can never be had on the starting day, which is Monday.


Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?\nOptions:\n(A) 11\n(B) 16\n(C) 188\n(D) 199\n(E) 12

Answer: (B)


Question: Find 12 ×× 19\nOptions:\n(A) 238\n(B) 228\n(C) 208\n(D) 277\n(E) 101

Answer: (B)

Mentally imagine this number as (10 + 2 ) ×× 19 = 190 + 38 = 228.


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) 54%\n(C) 57%\n(D) 60%\n(E) 65%

Answer: (C)


Question: If the cost price of 50 articles is equal to the selling price of 15 articles, then the gain or loss percent is?\nOptions:\n(A) 16\n(B) 127\n(C) 12\n(D) 18\n(E) 233

Answer: (E)

Percentage of profit = 35/15 * 100 = 233%


Question: In May Mrs Lee's earnings were 60 percent of the Lee family's total income. In June Mrs Lee earned 20 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?\nOptions:\n(A) 64%\n(B) 68%\n(C) 72%\n(D) 76%\n(E) 80%

Answer: (A)

Say May income = 100\nL's income = 60 and rest of the family = 40\nIn June L's income = 60 * 120 /100 = 72\nSo 72 /72 + 40 = 64%


Question: In Sam's hanger there are 23 boxes, 19 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?\nOptions:\n(A) 1.\n(B) 2.\n(C) 3.\n(D) 4.\n(E) 5.

Answer: (A)

Total boxes = 23\nFilled with toys = 19\nFilled with appliance = 4\nTotal boxes for sale = 8\nToy boxes for sale = 5\nAppliance boxes for sale = 3\nAppliance boxes not for sale = 4 - 3 = 1


Question: The speed of a boat in still water is 50kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\nOptions:\n(A) 40, 68 kmph\n(B) 40, 30 kmph\n(C) 70, 30 kmph\n(D) 40, 60 kmph\n(E) 20, 60 kmph

Answer: (C)

Speed downstream = 50 + 20 = 70 kmph\nSpeed upstream = 50 - 20 = 30 kmph


Question: The length Q of a rectangle is decreased by 15% and its width is increased by 40%. Does the area of the rectangle decrease or increase and by what percent?\nOptions:\n(A) Decreases by 19%\n(B) Decreases by 25%\n(C) Increases by 6%\n(D) Increases by 19%\n(E) Increases by 25%

Answer: (D)

Let the length Q of the rectangle be 100x, and width be 100y. Area = 100x * 100y = 10000xy\nNow after the change Length = 85x, and width = 140 y. Area = 11900xy\n% Change = (11900xy - 10000xy)/(10000xy) = 19 % Increase. Hence


Question: A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 600. How much did he have with him in the beginning?\nOptions:\n(A) s 200\n(B) s 1500\n(C) s 300\n(D) s 450\n(E) s 550

Answer: (B)

Suppose the amount in the beginning was Rs ’x’\nMoney spent on clothes = Rs 1x/3 Balance = Rs 2x/3\nMoney spent on food = 1/5 of 2x/3 = Rs 2x/15\nBalance = 2x/3 - 2x/15 = Rs 8x/15\nMoney spent on travel = 1/4 of 8x/15 = Rs 2x/15 = 8x/15 - 2x/15 = 6x/15 = Rs2x/5\nTherefore 2x/5 = 100 = 1500


Question: Steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 80 mph. What is his average speed of travel for the entire journey?\nOptions:\n(A) 61mph\n(B) 62mph\n(C) 63mph\n(D) 64mph\n(E) 65mph

Answer: (D)


Question: The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?\nOptions:\n(A) 1/45\n(B) 1/42\n(C) 1/46\n(D) 1/48\n(E) 1/43

Answer: (B)


Question: If 12 men can reap 120 acres of land in 16 days, how many acres of land can 36 men reap in 32 days?\nOptions:\n(A) 269\n(B) 512\n(C) 369\n(D) 720\n(E) 450

Answer: (D)


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 2.5 km long?\nOptions:\n(A) 4\n(B) 3\n(C) 5\n(D) 7\n(E) 9

Answer: (A)


Question: The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 60 with him, what was the average amount with the group before his joining the group?\nOptions:\n(A) s. 25.6\n(B) s. 25\n(C) s. 16.6\n(D) s. 26\n(E) s. 25.6

Answer: (B)

Total members in the group = 7\nAverage amount = Rs. 30\nTotal amount with them = 7 * 30 = Rs. 210\nOne number has Rs. 60. So, the amount with remaining 6 people = 210 - 60 = Rs. 150\nThe average amount with them = 150/6 = Rs. 25


Question: The average of 13 result is 20. Average of the first 8 of them is 20 and that of the last 8 is 40. Find the 8th result?\nOptions:\n(A) 35\n(B) 37\n(C) 46\n(D) 90\n(E) 100

Answer: (E)

Sum of all the 13 results = 13 * 20 = 260\nSum of the first 7 of them = 8 * 20 = 160\nSum of the last 7 of them = 8 * 40 = 320\nSo, the 8th number = 260 + 160 - 320 = 100.


Question: How many common two-digit whole numbers are there which gives a remainder of 2 when divided by 9 and gives a remainder of 5 when divided by 8?\nOptions:\n(A) Five\n(B) Three\n(C) One\n(D) Two\n(E) Four

Answer: (C)

Answer = C) One\nTwo digit numbers giving remainder 2 when divided by 9 = 11, 20, 29, 38, 47, 56, 65, 74, 83, 92\nTwo digit numbers giving remainder 5 when divided by 8 = 13, 21, 29, 37, 45, 53, 61, 69, 77, 85, 93\nCommon Numbers = 29 = 1


Question: Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?\nOptions:\n(A) 3\n(B) 4\n(C) 6\n(D) 9\n(E) 8

Answer: (A)

On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted


Question: Anmol can eat 27 pastries in a hour.\nAakriti can eat 2 pastries in 10 minutes.\nDivya can eat 7 pastries in 20 minutes.\nHow long will it take them to eat a 420 pastries ?\nOptions:\n(A) 2 hours.\n(B) 1 hours.\n(C) 5 hours.\n(D) 4 hours.\n(E) 7 hours.

Answer: (E)

In one hour, Anmol eats 27 pastries, Aakriti eats 12, and Divya eats 21. A total of 60 pastries. Therefore 420 pastries would take 420 ÷ 60 = 7 hours.


Question: What is the greatest positive integer x such that 6^x is a factor of 216^10?\nOptions:\n(A) 5\n(B) 9\n(C) 10\n(D) 20\n(E) 30

Answer: (E)


Question: The purchase price of an article is $48. In order to include 30% of cost for overhead and to provide $12 of net profit, the markup should be\nOptions:\n(A) 15%\n(B) 25%\n(C) 35%\n(D) 40%\n(E) 55%

Answer: (E)

Cost price of article = 48$\n% of overhead cost = 30\nNet profit = 12 $\nWe need to calculate % markup\nNet profit as % of cost price = (12/48)*100 = 25%\nTotal markup should be = 25 + 30 = 55%


Question: The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?\nOptions:\n(A) 10000\n(B) 297\n(C) 9279\n(D) 2767\n(E) 2676

Answer: (A)


Question: Henry earns $120 a week from his job. His income increased and now makes $180 a week. What is the percent increase?\nOptions:\n(A) 70%\n(B) 60%\n(C) 50%\n(D) 40%\n(E) 30%

Answer: (C)


Question: A person deposits 1/16 of his income as Provident Fund and 1/15 of the remaining as insurance premium. If he spends 5/7 of the balance on domestic needs and deposits an amount of Rs. 50 in the bank, his total income would be\nOptions:\n(A) 150\n(B) 200\n(C) 250\n(D) 300\n(E) 350

Answer: (B)


Question: 396, 462, 572, 427, 671, 264\nOptions:\n(A) 396\n(B) 427\n(C) 671\n(D) 264\n(E) 572

Answer: (B)

In each number except 427, the middle digit is the sum of other two.


Question: There are 25 balls in a jar. You take out 5 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: (B)


Question: The average of first 10 odd numbers is?\nOptions:\n(A) 44\n(B) 10\n(C) 99\n(D) 77\n(E) 62

Answer: (B)

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


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) 7 1/7 sec\n(B) 7 7/2 sec\n(C) 7 1/8 sec\n(D) 7 1/2 sec\n(E) 7 3/2 sec

Answer: (D)


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) 66 sec\n(B) 46 sec\n(C) 48 sec\n(D) 65 sec\n(E) 64 sec

Answer: (C)


Question: The average age of A, B and C is 25 years. If the average age of A and C is 29 years, what is the age of B in years ?\nOptions:\n(A) 17\n(B) 35\n(C) 20\n(D) 32\n(E) 21

Answer: (A)

Age of B = Age of (A + B + C) â€“ Age of (A + C) = 25 Ã— 3 â€“ 29 Ã— 2 = 75 â€“ 58 = 17 years


Question: In a group of dogs and peacocks, the number of legs are 18 less than four times the number of heads How many peacocks are there in that group?\nOptions:\n(A) 9\n(B) 8\n(C) 7\n(D) 6\n(E) 5

Answer: (A)

Let the number of dogs be 'x' and the number of peacocks by 'y'. Then, number of legs in the group = 4x + 2y. Number of heads in the group = x+y So, 4x+2y = 4(x+y) – 18 ⇒ 2y = 18 ⇒ y = 9 Number of peacocks in that group = 9.


Question: The average of first four prime numbers greater than 30 is?\nOptions:\n(A) 38\n(B) 20\n(C) 30\n(D) 40\n(E) 50

Answer: (A)


Question: In a race with 30 runners where 5 trophies will be given to the top 7 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?\nOptions:\n(A) 8^8 ways\n(B) 8^9 ways\n(C) 7^5 ways\n(D) 8^7 ways\n(E) 8^6 ways

Answer: (C)

7 people can be prized with 5 distinct prizes in 7^5 ways


Question: The edge of a cube is 6a cm. Find its surface?\nOptions:\n(A) 116a2 cm2\n(B) 126a2 cm2\n(C) 256a2 cm2\n(D) 150a2 cm2\n(E) 216a2 cm2

Answer: (E)


Question: 252 can be expressed as a product of primes as:\nOptions:\n(A) 2 x 2 x 3 x 3 x 7\n(B) 2 x 2 x 3 x 3 x 8\n(C) 2 x 2 x 3 x 3 x 6\n(D) 2 x 2 x 3 x 3 x 1\n(E) 2 x 2 x 3 x 3 x 2

Answer: (A)


Question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 16. What is the middle number?\nOptions:\n(A) 27\n(B) 29\n(C) 36\n(D) 34\n(E) 35

Answer: (C)

The total of seven numbers = 7X18 = 126\nThe total of first 3 and last 3 numbers is = 3 X 14+3 X 16 = 90\nSo, the middle number is (126 - 90 ) = 36


Question: A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 500. How much did he have with him in the beginning?\nOptions:\n(A) s 200\n(B) s 1250\n(C) s 300\n(D) s 450\n(E) s 550

Answer: (B)

Suppose the amount in the beginning was Rs ’x’\nMoney spent on clothes = Rs 1x/3 Balance = Rs 2x/3\nMoney spent on food = 1/5 of 2x/3 = Rs 2x/15\nBalance = 2x/3 - 2x/15 = Rs 8x/15\nMoney spent on travel = 1/4 of 8x/15 = Rs 2x/15 = 8x/15 - 2x/15 = 6x/15 = Rs2x/5\nTherefore 2x/5 = 500 = 1250


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) 118\n(B) 150\n(C) 277\n(D) 258\n(E) 191

Answer: (B)

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


Question: Which of the following is equal to the average (arithmetic mean) of (x+2)^2 and (x-4)^2?\nOptions:\n(A) x^2\n(B) x^2+2\n(C) x^2-2x+10\n(D) x^2+2x+10\n(E) x^2+4x+5

Answer: (C)


Question: Look at this series: 53, 53, 39, 39, 25, 25, ... What number should come next?\nOptions:\n(A) A) 12\n(B) B) 11\n(C) C) 27\n(D) D) 53\n(E) E) 86

Answer: (B)

In this series, each number is repeated, then 14 is subtracted to arrive at the next number.


Question: Four of the five parts numbered (a), (b), (c), (d) and (e) in the following equation are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.\nOptions:\n(A) 371.587 + 46.32 – 217.907\n(B) 4 × 125 – 75 × 4\n(C) 58.25 × 4.5 – 65.875\n(D) 25 × 12 – 2 × 5 × 10\n(E) 121 × 3.5 – 2 × 111.75

Answer: (C)


Question: What is the units digit of the expression 14^7−19^4?\nOptions:\n(A)  0\n(B)  3\n(C)  4\n(D)  6\n(E)  8

Answer: (E)

I think answer on this one should be E too. Since we know that 14^7>19^4, as Will said one should always check if the number is positiv


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) 5\n(B) 4\n(C) 3\n(D) 6\n(E) 8

Answer: (C)

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: 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) 5/11\n(B) 6/11\n(C) 7/11\n(D) 8/11\n(E) 9/11

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 theleast number should be added to 1056, so the sum of the number is completely divisible by 23?\nOptions:\n(A) 1\n(B) 2\n(C) 5\n(D) 6\n(E) 8

Answer: (B)

(1056 / 23) gives remainder 21\n21 + 2 = 23, So we need to add 2


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 75 percent of the test takers answered the second question correctly, and 15 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: (D)

{Total} = {First correctly} + {Second correctly} - {Both correctly} + {Neither correctly}\n100 = 85 + 75 - {Both correctly} + 15\n{Both correctly} = 75.


Question: A train running at the speed of 60 km/hr crosses a pole in 15 sec. What is the length of the train?\nOptions:\n(A) 120 m\n(B) 190 m\n(C) 115 m\n(D) 110 m\n(E) 250 m

Answer: (E)

Speed = 60 * 5/18 = 50/3 m/sec\nLength of the train = speed * time = 50/3 * 15 = 250 m


Question: Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?\nOptions:\n(A) 299\n(B) 277\n(C) 266\n(D) 992\n(E) 188

Answer: (D)


Question: A train 650 m long is running at a speed of 81 km/hr. In what time will it pass a bridge 340 m long?\nOptions:\n(A) 42\n(B) 43\n(C) 44\n(D) 45\n(E) 46

Answer: (C)

Speed = 81 * 5/18 = 45/2 m/sec\nTotal distance covered = 650 + 340 = 990 m\nRequired time = 990 * 2/45 = 44 se


Question: A car finishes a journey in ten hours at the speed of 80 km/hr. If the same distance is to be covered in eight hours how much more speed does the car have to gain?\nOptions:\n(A) 8 km/hr\n(B) 10 km/hr\n(C) 12 km/hr\n(D) 16 km/hr\n(E) None of these

Answer: (E)

Distance covered by the car = 80 × 10 = 800 km\n\ Speed = 800⁄8 = 100 km/hr\n\ Speed gain = 100 – 80 = 20 km/hr


Question: A 400 meter long train crosses a man standing on the platform in 10 sec. What is the speed of the train?\nOptions:\n(A) 144\n(B) 108\n(C) 278\n(D) 126\n(E) 112

Answer: (A)


Question: In what time will a railway train 56 m long moving at the rate of 39 kmph pass a telegraph post on its way?\nOptions:\n(A) 3 sec\n(B) 4 sec\n(C) 5 sec\n(D) 6 sec\n(E) 7 sec

Answer: (C)


Question: Calculate the circumference of a circular field whose radius is 8 centimeters.\nOptions:\n(A) 18 π cm\n(B) 1 π cm\n(C) 8 π cm\n(D) 19 π cm\n(E) 28 π cm

Answer: (A)

Circumference C is given by\nC = 2πr = 2π*9 = 18 π cm


Question: 5,9,16,28,48,__\nOptions:\n(A) 79\n(B) 80\n(C) 81\n(D) 82\n(E) 83

Answer: (C)


Question: Calculate the largest 3 digit number which is exactly divisible by 89?\nOptions:\n(A) 911\n(B) 969\n(C) 979\n(D) 977\n(E) 971

Answer: (C)

Largest 4 digit number is 999\nAfter doing 999 ÷ 89 we get remainder 20\nHence largest 3 digit number exactly divisible by 89 = 999 - 20 = 979


Question: Two pipes A and B can fill a cistern in 15 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 1/4 min\n(B) 28 1/7 min\n(C) 17 1/7 min\n(D) 13 3/7 min\n(E) 17 5/7 min

Answer: (D)


Question: If the given two numbers are respectively 6% and 30% 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) 30%\n(E) none of these

Answer: (A)

Here, l = 6 and m = 30\nTherefore, first number = l/m x 100% of second number = 6/30 x 100% of second number = 20% of second number


Question: If the personal income tax rate is lowered from 38% to 30%, what is the differential savings for a tax payer having an annual income before tax to the tune of $36500?\nOptions:\n(A) $1825\n(B) $5000\n(C) $3150\n(D) $7000\n(E) $10000

Answer: (A)


Question: A 28 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) 12\n(B) 8\n(C) 88\n(D) 77\n(E) 14

Answer: (B)


Question: In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?\nOptions:\n(A) 63\n(B) 25\n(C) 40\n(D) 65\n(E) 98

Answer: (A)

Required number of ways = (7C5 x 3C2) = (7C2 x 3C1) = = 63.


Question: What percent is 36 paisa's of 12 rupees?\nOptions:\n(A) 3 %\n(B) 4 %\n(C) 5 %\n(D) 6 %\n(E) 7 %

Answer: (A)


Question: he population of a city is 160,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?\nOptions:\n(A) 1797787\n(B) 1797723\n(C) 179776\n(D) 179728\n(E) 179718

Answer: (C)


Question: The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?\nOptions:\n(A) 910% increase\n(B) 10% increase\n(C) 9% decrease\n(D) 12% decrease\n(E) 15% increase

Answer: (C)


Question: The average age of applicants for a new job is 32, 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) 77\n(C) 7\n(D) 18\n(E) 34

Answer: (C)

Minimum age = Average - 1 Standard deviation = 32 - 8 = 24\nMaximum age = average + 1 Standard deviation = 32+ 8 = 40\nMaximum number of different ages of the applicants = 30 - 24 + 1 = 7


Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?\nOptions:\n(A) 3888\n(B) 26989\n(C) 26700\n(D) 28800\n(E) 2879

Answer: (D)


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) kmph\n(B) kmph\n(C) kmph\n(D) kmph\n(E) kmph

Answer: (D)

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


Question: In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:\nOptions:\n(A) 3\n(B) 4\n(C) 5\n(D) 8\n(E) 9

Answer: (D)

Speed in still water = (11 + 5)/2 kmph = 8 kmph.


Question: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 55% 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) 20%\n(E) 10%

Answer: (D)

{Total} = {finance} + {marketing} - {both} + {neither}\n100 = 25 + 55 - {both} + 40\n{both} = 20%.


Question: Remainder of 2^47/47 ?\nOptions:\n(A) 2\n(B) 3\n(C) 4\n(D) 5\n(E) 6

Answer: (A)


Question: If x is an even integer, which of the following is an even integer?\nOptions:\n(A) 3x-3\n(B) x+x^2\n(C) 5x-3\n(D) 2x+1\n(E) 9x-5

Answer: (B)


Question: Maximum no of unsuccessful attempts, a thief can do in order to break a number locking system of 4 digits.\nOptions:\n(A) 9988\n(B) 9999\n(C) 9799\n(D) 9685\n(E) 6545

Answer: (B)

From 0 to 9999 there are 10000 four digit numbers\nSo maximum number of unsuccessful attempts = 10000 - 1 = 9999


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) y=5184

Answer: (E)


Question: Guna has 8 flavors of ice cream in him parlor. How many options are there for Thilak to pick a one-flavor, two-flavor, three-flavor, four-flavor, five-flavor, six-flavor,seven-flavor or eight-flavor order?\nOptions:\n(A) 223\n(B) 395\n(C) 448\n(D) 774\n(E) 835

Answer: (B)


Question: In how many different ways can the letters of the word "AIM" be rearrangement?\nOptions:\n(A) 4\n(B) 2\n(C) 7\n(D) 9\n(E) 6

Answer: (E)

Option 'E'\nThe total number of arrangements is\n3P3 = 3! = 6


Question: A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?\nOptions:\n(A) 48 kmph\n(B) 52 kmph\n(C) 108 kmph\n(D) 100 kmph\n(E) 98 kmph

Answer: (C)


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

Answer: (B)

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


Question: What will come in place of the x in the following Number series? 46080, 3840, 384, x\nOptions:\n(A) 48\n(B) 3\n(C) 4\n(D) 5\n(E) 6

Answer: (A)


Question: A woman begins bicycling with a pace of 10 kmph and she increases her pace every two hours by 2 kmph. She rests from bicycling 2 hours after her pace reaches her maximum speed of 14 kmph. She does a cool-down for the final 8 km at a pace of 2 kmph. How far in km did she bicycle?\nOptions:\n(A) 96 km\n(B) 100 km\n(C) 106 km\n(D) 116 km\n(E) 126 km

Answer: (B)

Distance covered in first two hours = 10 Ã— 2 = 20 km\nDistance covered in next two hours = 12 Ã— 2 = 24 km\nDistance covered in next two hours = 14 Ã— 2 = 48 km\nDistance covered in first six hours\n20 + 24 + 48 = 92 km\nRemaining distance = 8 km\n92 + 8 = 100 km


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 85. How many points altogether did the team score?\nOptions:\n(A) 662\n(B) 672\n(C) 652\n(D) 642\n(E) 670

Answer: (E)


Question: What percent is 120 of 90?\nOptions:\n(A) 133 1/3 %\n(B) 134 1/3 %\n(C) 135 1/3 %\n(D) 140 1/3 %\n(E) 143 1/3 %

Answer: (A)


Question: Q is a set of nine distinct prime numbers. If the sum of the integers in Q is even and the number x is a member of Q, then what is the least value that x can be?\nOptions:\n(A) 2\n(B) 3\n(C) 4\n(D) 5\n(E) 7

Answer: (A)


Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?\nOptions:\n(A) 277\n(B) 270\n(C) 288\n(D) 266\n(E) 121

Answer: (B)


Question: The smallest prime number is:\nOptions:\n(A) 1\n(B) 2\n(C) 3\n(D) 4\n(E) 5

Answer: (B)


Question: How much 80% of 40 is greater than 10% of 15?\nOptions:\n(A) 18\n(B) 99\n(C) 19\n(D) 18\n(E) 17

Answer: (E)


Question: The average of seven numbers is 26. 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) 83\n(C) 29\n(D) 32\n(E) 34

Answer: (B)

The total of seven numbers = 7X26 = 182\nThe total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99\nSo, the middle number is (182 - 99 ) = 83


Question: The speed of a boat in still water is 60kmph and the speed of the current is 10kmph. Find the speed downstream and upstream?\nOptions:\n(A) 40, 68 kmph\n(B) 70, 50 kmph\n(C) 90, 60 kmph\n(D) 40, 60 kmph\n(E) 20, 60 kmph

Answer: (B)

Speed downstream = 60 + 10 = 70 kmph\nSpeed upstream = 60 - 10 = 50 kmph


Question: 150 is increased by 40%. Find the final number.\nOptions:\n(A) 200\n(B) 210\n(C) 180\n(D) 190\n(E) 220

Answer: (B)

Final number = Initial number + 40%(original number) = 150 + 40%(150) = 150 + 60 = 210.


Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for five years?\nOptions:\n(A) 31500\n(B) 27773\n(C) 29989\n(D) 28800\n(E) 29883

Answer: (A)


Question: The average age of the district level hockey team of eleven is 22 years.The average age gets increased by 1 year when the coach age is also included.what is the age of the coach ?\nOptions:\n(A) 22 yrs\n(B) 34 yrs\n(C) 27 yrs\n(D) 28 yrs\n(E) 19 yrs

Answer: (B)

Total age of players in team = 22 x 11 = 242\nWhen coach is included, total members = 12, Avg age increases by one becomes 23\nTotal age when coach is included = 23x12 = 276\nAge of coach = 276-242 = 34 yrs.


Question: At what rate percent on simple interest will a sum of money double itself in 30 years?\nOptions:\n(A) 3 1/9%\n(B) 3 7/3%\n(C) 7 1/3%\n(D) 5 1/3%\n(E) 1 1/3%

Answer: (A)


Question: A train running at the speed of 90 km/hr crosses a pole in 10 seconds. Find the length of the train.\nOptions:\n(A) 150\n(B) 180\n(C) 250\n(D) 200\n(E) 225

Answer: (C)

Speed = 90*(5/18) m/sec = 25 m/sec\nLength of Train (Distance) = Speed * Time\n25 *10 = 250 meter


Question: An equity analyst needs to select 5 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 10, in how many ways can she choose and rank her top 5 picks?\nOptions:\n(A) 21548\n(B) 31502\n(C) 21250\n(D) 30240\n(E) 84045

Answer: (D)

Number of ways of choosing 5 stocks = 10C5\nNumber of ways of ranking the chosen stocks = 5!\nHence total ways of chosing and ranking = 10C5 * 5! = 30240


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) Rs.8082\n(B) Rs.7800\n(C) Rs.8100\n(D) Rs.8112\n(E) none of these

Answer: (D)


Question: Two trains are moving at 75 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 6/29 sec\n(B) 7 1/7 sec\n(C) 7 2/2 sec\n(D) 8 1/2 sec\n(E) 7 1/19 sec

Answer: (A)


Question: What is the sum of all the prime numbers greater than 30 but less than 50?\nOptions:\n(A) 126\n(B) 199\n(C) 198\n(D) 188\n(E) 122

Answer: (B)

Required sum = (31 + 37 + 41 + 43 + 47) = 199\nNote: 1 is not a prime number


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) 30 Years\n(B) 31 Years\n(C) 32 Years\n(D) 34 Years\n(E) 49 Years

Answer: (E)

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: At a meeting of the 9 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 9 Chiefs of Staff be seated around a circular table?\nOptions:\n(A) 120\n(B) 480\n(C) 960\n(D) 2520\n(E) 6050

Answer: (E)

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 E (6050), should be the number of ways to arrange all 7 without the seating restriction given. Is this incorrect?


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) 3\n(B) 5\n(C) 6\n(D) 7\n(E) 9

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: 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 2 o’clock the faster train is 25 miles behind the slower one. How far apart are the two trains at 5 o'clock?\nOptions:\n(A) 60 miles\n(B) 80 miles\n(C) 90 miles\n(D) 65 miles\n(E) 400 miles

Answer: (D)

Answer = D. 65 miles\nRelational speed = 130 - 100 = 30 miles per hour\nIn 3 hours, difference = 30 * 3 = 90 miles\nFast train trailing 25 miles, so effective difference = 90 - 25 = 65 miles


Question: A shipment of 8 TV sets contains 6 black and white sets and 2 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) 5/14\n(D) 11/28\n(E) 27/28

Answer: (E)


Question: A man walks at a speed of 3 km/hr and runs at a speed of 6 km/hr. How much time will the man require to cover a distance of 12 km, if he completes half of the distance, i.e., (6) km on foot and the other half by running?\nOptions:\n(A) 2.6\n(B) 2.2\n(C) 2.5\n(D) 2\n(E) 3

Answer: (E)

Required time = (6)/3 + (6)/6 = 3 hours.


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) 287\n(B) 699\n(C) 677\n(D) 168\n(E) 200

Answer: (E)

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


Question: From among the 39 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) 1482\n(E) 1460

Answer: (D)

There are 39 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 39 ways. When one person is appointed as leader, we are left with 35 students. Out of these 38 teachers, we can select one class representative. So, a class representative can be selected in 38 ways. Hence, the number of ways in which a leader and class representative can be selected = 39 x 38 = 1482


Question: In how many different ways can the letters of the word â€˜CASESâ€™ be arranged?\nOptions:\n(A) 250\n(B) 280\n(C) 60\n(D) 310\n(E) 360

Answer: (C)


Question: The average of ten numbers is 210. The average of first five numbers is 40 and the average of last four numbers is 200. What is the middle number?\nOptions:\n(A) A) 200\n(B) B) 2000\n(C) C) 800\n(D) D) 2100\n(E) E) 1100

Answer: (E)

The total of ten numbers = 10X210 = 2100\nThe total of first 5 and last 4 numbers is = 5 X 40+4 X 200 = 1000\nSo, the middle number is (2100 - 1000 ) = 1100


Question: The floor of a rectangular room is 18 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) 124 m2\n(B) 126 m2\n(C) 136 m2\n(D) 158 m2\n(E) None of these

Answer: (C)

Area of the outer rectangle = 22 Ã— 16 = 352 m2\nArea of the inner rectangle = 18 Ã— 12 = 216 m2\nRequired area = (352 â€“ 216) = 136 m2


Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 10 as remainder. Find the no. is?\nOptions:\n(A) 220010\n(B) 145778\n(C) 220110\n(D) 235467\n(E) 220001

Answer: (A)


Question: If n is an integer, then the least possible value of |8 - 9n| is?\nOptions:\n(A) 0\n(B) 1\n(C) 2\n(D) 3\n(E) 11

Answer: (B)

|8 - 9n| represents the distance between 8 and 9n on the number line. Now, the distance will be minimized when 9n, which is multiple of 9, is closest to 8. Multiple of 9 which is closest to 8 is 9 (for n = 1), so the least distance is 1: |8 - 9| = 1.


Question: The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 24 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?\nOptions:\n(A) 61.25\n(B) 62.5\n(C) 63.75\n(D) 70.0\n(E) 77.5

Answer: (D)

Rate of flow of water in second hour = 24 gallons per hour\nRate of flow of water in first hour = 24/(3/2) = 16 gallons per hour\nRate of flow of water in third hour = (125/100)* 24 = (5/4) * 24 = 30 gallons per hour\nNumber of gallons of water that flowed through the pipe during the entire 3 hours = 16+24+30 = 70 gallons


Question: In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much?\nLook at this series: 95, 10, 75, 20, 55, ... What number should come next?\nOptions:\n(A) 35\n(B) 40\n(C) 30\n(D) 25\n(E) 90

Answer: (C)

C\n30\nThis is an alternating addition and subtraction series. In the first pattern, 20 is subtracted from each number to arrive at the next. In the second, 10 is added to each number to arrive at the next.


Question: How much 60% of 50 is greater than 40% of 30?\nOptions:\n(A) 18\n(B) 28\n(C) 29\n(D) 11\n(E) 12

Answer: (A)


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

Answer: (C)


Question: A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?\nOptions:\n(A) 4500 M3\n(B) 27000 M3\n(C) 3000 M3\n(D) 2700 M3\n(E) 3700 M3

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) 1\n(B) 3\n(C) 6\n(D) 8\n(E) 9

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: How many terminating zeroes Q 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: 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.9880. Find the share of A?\nOptions:\n(A) 3002\n(B) 3000\n(C) 3018\n(D) 3019\n(E) 4000

Answer: (E)


Question: A train 280 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) 17 sec

Answer: (B)


Question: In what time a sum of money double itself at 3% per annum simple interest?\nOptions:\n(A) 33 1/7%\n(B) 33 1/3%\n(C) 33 1/2%\n(D) 33 7/3%\n(E) 33 5/3%

Answer: (B)


Question: How much time will it take for an amount of 500 to yield 100 as interest at 5% per annum of simple interest?\nOptions:\n(A) 3 year\n(B) 4 year\n(C) 6 year\n(D) 5 year\n(E) 7 year

Answer: (B)


Question: Elena’s bread recipe calls for 3 ounces of butter for each 4 cups of flour used. She needs to make 4 times the original recipe. If 12 ounces of butter is used, then how many cups of flour are needed?\nOptions:\n(A) 1\n(B) 4\n(C) 9\n(D) 13\n(E) 16

Answer: (E)

Number of cups flour needed for 3 ounces of butter = 4\nNumber of cups flour needed for 1 ounce of butter = 4/3\nNumber of cups flour needed for 12 ounces of butter = 4/3 * 12 = 16


Question: Right triangle ABC is the base of the prism in the figure above. If AB=AC=√2 and the height of the prism is 3, what is the volume of the prism?\nOptions:\n(A) 1\n(B) 3/2\n(C) 2\n(D) 3\n(E) 6

Answer: (D)

Volume of prism = Area of base * height = 1/2* (square root of 2) * (square root of 2)*3 = 3


Question: The probability is 1/2 that a certain coin will turn up heads on any given toss. If the coin is to be tossed three times, what is the probability that on at least one of the tosses the coin will turn up tails?\nOptions:\n(A)  1/8\n(B)  1/2\n(C)  3/4\n(D)  7/8\n(E)  15/16

Answer: (D)


Question: There are 7 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) 315\n(D) 180\n(E) 200

Answer: (C)

Number of ways of selecting 2 fiction books = 7C2\nNumber of ways of selecting 2 non fiction books = 6C2\n7C2 * 6C2 = 21 * 15 = 315


Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?\nOptions:\n(A) 17\n(B) 16\n(C) 17\n(D) 19\n(E) 62

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: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?\nOptions:\n(A) 4 min\n(B) 6 min\n(C) 8 min\n(D) 2 min\n(E) 9 min

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) 5/18\n(B) 5/12\n(C) 5/19\n(D) 5/15\n(E) 5/11

Answer: (B)

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


Question: Find the odd man out\n253, 136, 352, 329, 631, 244\nOptions:\n(A) 329\n(B) 136\n(C) 352\n(D) 631\n(E) 531

Answer: (A)

The sum all three digits comes to 10 except 329


Question: A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?\nOptions:\n(A) 12 days\n(B) 15 days\n(C) 18 days\n(D) 20 days\n(E) 22 days

Answer: (C)

A’s two day’s work = 2/20 = 1/10\n(A + B + C)’s one day’s work = 1/20 + 1/30 + 1/60 = 6/60 = 1/10\nWork done in 3 days = (1/10 + 1/10) = 1/5\nNow, 1/5 work is done in 3 days\nTherefore, Whole work will be done in (3 x 5) = 15 days.


Question: If f(x) = x^3/(x^4 - 1), what is f(1/x) in terms of f(x)?\nOptions:\n(A) -f(x) \n(B) f(x) \n(C) 2*f(x) \n(D) 1/f(x) \n(E) 2/f(x)

Answer: (A)

If x = 2 then f(x) = 8/15 and f(1/x) = -8/15 which is equal to -f(x)


Question: The speed of a boat in still water is 70kmph and the speed of the current is 20kmph. 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 = 70 + 20 = 90 kmph\nSpeed upstream = 70 - 20 = 50 kmph


Question: Grace has 17 jellybeans in her pocket. She has 9 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?\nOptions:\n(A) 4\n(B) 8\n(C) 12\n(D) 14\n(E) 16

Answer: (D)

The worst scenario is when she takes 9 red and 4 green, total of 13 jellybeans, and still doesn't have 3 distinct colors. But the next draw (14th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket.


Question: A number lock on a suitcase has 3 wheels each labelled with 10 digits from 0 to 9. If opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible?\nOptions:\n(A) 720\n(B) 760\n(C) 680\n(D) 780\n(E) 880

Answer: (A)

On first wheel there can be 10 digits. On the second wheel there will be one of the 9 digits and on the third wheel there will be 8 digits. Therefore, the number of numbers is\n10 x 9 x 8 = 720


Question: In a jar there are 3 golf balls and 2 ping pong balls. What is the probability of drawing at least one golf ball when drawing two consecutive balls randomly?\nOptions:\n(A) 1/4\n(B) 1/2\n(C) 3/5\n(D) 9/10\n(E) 16/20

Answer: (D)

P(at least one gold ball) = 1 - P(no golf ball, so 2 ping pong balls) = 1- 2/5*1/4 = 9/10.


Question: A train 280 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: (B)


Question: How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 2 ?\nOptions:\n(A) 2\n(B) 3\n(C) 4\n(D) 5\n(E) 0

Answer: (E)

A number ending with 2 can never be a perfect squar


Question: Which one of the following is not a prime number?\nOptions:\n(A) 31\n(B) 61\n(C) 71\n(D) 73\n(E) 91

Answer: (D)

91 is divisible by 7. So, it is not a prime number.


Question: There are 10person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person 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) 5!*1!

Answer: (B)


Question: What approximate value should come in place of question mark (?) in the following equation\n287.532 + 1894.029 – 657.48 = 743.095 + ?\nOptions:\n(A) 870\n(B) 790\n(C) 780\n(D) 770\n(E) 890

Answer: (C)


Question: Two trains are moving at 90 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) 42/5 sec\n(B) 45/8 sec\n(C) 40/6 sec\n(D) 37/6 sec\n(E) 42/4 sec

Answer: (B)


Question: The H.C.F. of two numbers is 12 and their L.C.M. is 520. If one of the numbers is 480, then the other is:\nOptions:\n(A) 13\n(B) 18\n(C) 21\n(D) 24\n(E) 38

Answer: (A)


Question: The edge of a cube is 2a cm. Find its surface?\nOptions:\n(A) 24a8\n(B) 24a4\n(C) 24a1\n(D) 24a2\n(E) 24a7

Answer: (D)


Question: Find the simple interest on Rs.580 for 11 months at 9 paisa per month?\nOptions:\n(A) 574\n(B) 270\n(C) 566\n(D) 266\n(E) 121

Answer: (A)


Question: Find a a prime number from the options below.\nOptions:\n(A) 37\n(B) 38\n(C) 39\n(D) 40\n(E) 42

Answer: (A)


Question: The average length of the sides of triangle ABC is 12. What is the perimeter of triangle ABC?\nOptions:\n(A) 4\n(B) 6\n(C) 12\n(D) 24\n(E) 36

Answer: (E)

(average) = (perimeter)/3;\n12 = (perimeter)/3;\n(perimeter) = 36.


Question: A train 500 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) 49\n(D) 64\n(E) 21

Answer: (D)


Question: There are different 20 circles. What is the number of the greatest possible points with which the circles intersect?\nOptions:\n(A) 380\n(B) 200\n(C) 110\n(D) 180\n(E) 200

Answer: (A)

Maximum points of intersection between n different circles = n*(n - 1) = 20*19 = 380


Question: A pharmaceutical company received $4 million in royalties on the first $50 million in sales of and then $12 million in royalties on the next $170 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $50 million in sales to the next $170 million in sales?\nOptions:\n(A) 12%\n(B) 15%\n(C) 45%\n(D) 52%\n(E) 56%

Answer: (A)

(12/170)/(4/50) = 15/17 = 88% it means that 12/170 represents only 88%. Therefore a decrease of 12%.


Question: Let p be a prime number greater than 2 and let N = 14p. How many even numbers divide N?\nOptions:\n(A) 1\n(B) 2\n(C) 3\n(D) 4\n(E) 5

Answer: (A)

Answer: A. There is exactly one. The prime factorization of 14 is 14 = 2*7, so N = 2*7*p = 7*2*p = 7*2p, so 2p is the only even number that divides N.


Question: The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 20% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 10% more than the number there from 10 a.m. to 11 a.m. If 242 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?\nOptions:\n(A) 100\n(B) 20\n(C) 30\n(D) 40\n(E) 50

Answer: (A)

No of people from 10 - 11 is x\nNo of people from 11 - 12 is 11x/10\nNo of people from 12 to 1 is (6/5)(11x/10)\nGiven that 11x/10 + (6/5)(11x/10) = 121x / 50 = 242\nThen x = 100


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) 120 m\n(B) 180 m\n(C) 200 m\n(D) Cannot be determined\n(E) None of these

Answer: (C)

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


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) 1:5\n(C) 1:3\n(D) 1:1\n(E) 1:7

Answer: (A)


Question: In what time a sum of money double itself at 3% per annum simple interest?\nOptions:\n(A) 36 1/3%\n(B) 33 1/3%\n(C) 33 1/6%\n(D) 63 1/3%\n(E) 23 1/3%

Answer: (B)


Question: If x is a positive odd integer and y is a negative even integer, which of the following must be true?\nOptions:\n(A) x^3 + y is a positive odd integer\n(B) x^2 + y^2 is a negative odd integer\n(C) x^0 + y^11 is a negative odd integer\n(D) x + y is a positive odd integer\n(E) x + y is a negative odd integer

Answer: (C)

Anything power 0 is always 1 and given that Y is even and negative, then\n1 + (-2) will be negative with odd power values for Y.


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 once on heads and twice tails?\nOptions:\n(A) 1/3\n(B) 1/6\n(C) 1/4\n(D) 1/8\n(E) 1/5

Answer: (D)

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


Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?\nOptions:\n(A) 1234\n(B) 2343\n(C) 4546\n(D) 3435\n(E) 5184

Answer: (E)


Question: If it costs d dollars to make the first 100 copies of a poster and e dollars for each poster after that, what is the total cost of 125 posters?\nOptions:\n(A) 25d + 100e\n(B) 100d + 25e\n(C) 125de\n(D) d + 25e\n(E) 125/(de)

Answer: (D)

Dollars needed for first 100 copies = d\nDollars needed for each successive copy = e\nCost of 125 copies = cost of 100 copies + cost of 25 copies = d + 25e


Question: Calculate the largest 4 digit number which is exactly divisible by 98?\nOptions:\n(A) 9800\n(B) 9898\n(C) 9702\n(D) 9604\n(E) 9996

Answer: (E)

Largest 4 digit number is 9999\nAfter doing 9999 ÷ 98 we get remainder 3\nHence largest 4 digit number exactly divisible by 98 = 9999 - 3 = 9996


Question: A 600 meter long train crosses a signal post in 20 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) 8 min\n(D) 9 min\n(E) 5 min

Answer: (B)


Question: John left home and drove at the rate of 45 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 50 mph to reach his destination. How many miles did John drive?\nOptions:\n(A) 235 miles.\n(B) 245 miles.\n(C) 240 miles.\n(D) 265 miles.\n(E) 275 miles.

Answer: (C)

The total distance D traveled by John is given by\nD = 45 * 2 + 3 * 50 = 240 miles.


Question: If 10 litres of an oil of Rs.54 per litres be mixed with 5 litres of another oil of Rs.66 per litre then what is the rate of mixed oil per litre?\nOptions:\n(A) Rs.49.17\n(B) Rs.58\n(C) Rs.54.17\n(D) Rs.55.33\n(E) None of the above

Answer: (B)


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) 3\n(B) 5\n(C) 6\n(D) 8\n(E) 9

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: The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 25% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 25% less than the number there from 10 a.m. to 11 a.m. If 135 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?\nOptions:\n(A) 10\n(B) 20\n(C) 30\n(D) 40\n(E) 80

Answer: (E)

No of people from 10 - 11 is x\nNo of people from 11 - 12 is 3x/4\nNo of people from 12 to 1 is (5/4)(3x/4)\nGiven that 3x/4 + (5/4)(3x/4) = 27x/16 = 135\nThen x = 80


Question: How many ways someone can make with 8 shirts and 6 pants?\nOptions:\n(A) 50\n(B) 45\n(C) 55\n(D) 52\n(E) 48

Answer: (E)

If you can only wear one shirt and one pair of pants, then you can make 8*6 = 48 combinations.


Question: CMM, EOO, GQQ, _____, KUU\nOptions:\n(A) MSQ\n(B) IPS\n(C) IIS\n(D) ISS\n(E) POL

Answer: (D)

The first letters are in alphabetical order with a letter skipped in between each segment: C, E, G, I, K. The second and third letters are repeated; they are also in order with a skipped letter: M, O, Q, S, U.


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 days\n(B) 22 1/2 days\n(C) 22 6/2 days\n(D) 72 1/2 days\n(E) 23 1/2 days

Answer: (B)


Question: A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?\nOptions:\n(A) 85 m\n(B) 70 m\n(C) 115 m\n(D) 50 m\n(E) 150 m

Answer: (D)

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


Question: In a jar there are 3 red gumballs and 2 blue gumballs. What is the probability of drawing at least one red gumball when drawing two consecutive balls randomly?\nOptions:\n(A) 2/5\n(B) 16/20\n(C) 9/10\n(D) 3/5\n(E) 1/3

Answer: (C)

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


Question: A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?\nOptions:\n(A) 56\n(B) 78\n(C) 27\n(D) 79\n(E) 50

Answer: (E)

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


Question: An analyst will recommend a combination of 4 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 8 stocks are possible?\n--\nOptions:\n(A) 12\n(B) 19\n(C) 90\n(D) 180\n(E) 720

Answer: (C)


Question: In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of:\nOptions:\n(A) Rs. 3100\n(B) Rs. 6240\n(C) Rs. 6500\n(D) Rs. 9600\n(E) Rs. 8600

Answer: (B)

To get Rs. 10, Investment is 96\nTo get Rs. 650, investment is (96/10)*650 = 6240


Question: The speed of a boat in still water is 80kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\nOptions:\n(A) 22 kmph\n(B) 40 kmph\n(C) 60 kmph\n(D) 15 kmph\n(E) 23 kmph

Answer: (C)

Speed downstream = 80 + 20 = 100 kmph\nSpeed upstream = 80 - 20 = 60 kmph


Question: An design manager has 10patterns of chairs & 7patterns of tables. In how many ways can he make a pair of table & chair?\nOptions:\n(A) 70\n(B) 40\n(C) 80\n(D) 90\n(E) 100

Answer: (A)

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 7 ways\nHence one chair and one table can be arranged in 10 x 7 ways = 70 ways


Question: The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 36 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?\nOptions:\n(A) 106.25\n(B) 105.5\n(C) 105.75\n(D) 106\n(E) 105.0

Answer: (E)

Rate of flow of water in second hour = 36 gallons per hour\nRate of flow of water in first hour = 36/(3/2) = 24 gallons per hour\nRate of flow of water in third hour = (125/100)* 36 = (5/4) * 36 = 45 gallons per hour\nNumber of gallons of water that flowed through the pipe during the entire 3 hours = 24+36+45 = 105 gallons


Question: A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.165. Find the unknown rate of two towels?\nOptions:\n(A) A) 400\n(B) B) 450\n(C) C) 500\n(D) D) 550\n(E) E) 600

Answer: (E)


Question: A carpenter is building a frame for a wall painting. The painting is in the shape of a rectangle. If the sides of the rectangle are in the ratio of 3:2 and the shorter side has a length of 22 inches, how many inches of framing material does the carpenter need to frame the painting?\nOptions:\n(A) 12\n(B) 22 1/2\n(C) 37 1/2\n(D) 50\n(E) 28

Answer: (E)


Question: Find the area of a parallelogram with base 24 cm and height 16 cm.\nOptions:\n(A) 384 cm^2\n(B) 200 cm^2\n(C) 250 cm^2\n(D) 350 cm^2\n(E) 400 cm^2

Answer: (A)

Area of a parallelogram = base * height = 24 * 16 = 384 cm2


Question: If a man can cover 20 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?\nOptions:\n(A) 288\n(B) 162\n(C) 220\n(D) 270\n(E) 122

Answer: (D)

20 m/s = 20 * 18/5 kmph\n3 hours 45 minutes = 3 3/4 hours = 15/4 hours\nDistance = speed * time = 20 * 18/5 * 15/4 km = 270 km.


Question: Rs. 1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/8:1/3:1/4?\nOptions:\n(A) Rs.224\n(B) Rs.216\n(C) Rs.100\n(D) Rs.300\n(E) Rs.400

Answer: (B)


Question: Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?\nOptions:\n(A) 3377\n(B) 2889\n(C) 2522\n(D) 2678\n(E) 7111

Answer: (C)


Question: Steve gets on the elevator at the 11th floor of a building and rides up at a rate of 57 floors per minute. At the same time Joyce gets on an elevator on the 51st floor of the same building and rides down at a rate of 63 floors per minute. If they continue traveling at these rates, at which floor will their paths cross?\nOptions:\n(A) 19\n(B) 28\n(C) 30\n(D) 32\n(E) 44

Answer: (C)

Using Speed Formula: Speed = Distance / Time\nDistance to be covered = 51-11 = 40\nSpeed of approach = 57 + 63 floors/min\nTime = 40/120 = 1/3\nSo Steve will cover 57x 1/3 floors in that time = 19\nSo he will be in 19 + 11 floor = 30th Floor


Question: The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?\nOptions:\n(A) 10000\n(B) 18999\n(C) 16990\n(D) 16007\n(E) 16991

Answer: (A)


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) 120 m\n(B) 200 m\n(C) 115 m\n(D) 110 m\n(E) 150 m

Answer: (B)

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


Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 25 as remainder. Find the no. is?\nOptions:\n(A) 145646\n(B) 236578\n(C) 645353\n(D) 456546\n(E) 220025

Answer: (E)


Question: A man buys two articles for Rs.1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss percent?\nOptions:\n(A) 9\n(B) 8\n(C) 7\n(D) 6\n(E) 5

Answer: (A)


Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 70 as remainder. Find the no. is?\nOptions:\n(A) 145646\n(B) 236578\n(C) 645353\n(D) 456546\n(E) 220070

Answer: (E)


Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?\nOptions:\n(A) 3484\n(B) 3467\n(C) 3567\n(D) 4567\n(E) 5184

Answer: (E)


Question: What is the greatest positive integer x such that 5^x is a factor of 125^10?\nOptions:\n(A) 5\n(B) 9\n(C) 10\n(D) 20\n(E) 30

Answer: (E)


Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is\nOptions:\n(A) 1/9\n(B) 1/7\n(C) 1/5\n(D) 1/1\n(E) 1/2

Answer: (C)

10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!\nRequired probability = 1/5


Question: The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?\nOptions:\n(A) 228\n(B) 75\n(C) 299\n(D) 267\n(E) 312

Answer: (B)


Question: John's grade was 80th percentile of the 100 grades for his class. Of the 60 grades from another class, 20 were higher than John's, and the rest were lower. If no other grade was the same as John's grade, then John's grade was what percentile of the grades of the two classes of two classes combined?\nOptions:\n(A) 72nd\n(B) 75th\n(C) 83rd\n(D) 85th\n(E) 94th

Answer: (B)


Question: A train of 24 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 4.5 km long?\nOptions:\n(A) 4\n(B) 3\n(C) 5\n(D) 6\n(E) 9

Answer: (D)


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) 8\n(E) 9

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: What will come in place of the x in the following Number series? 612, 207, 72, 27, 12, x\nOptions:\n(A) 6\n(B) 7\n(C) 8\n(D) 9\n(E) 10

Answer: (B)


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 2 order of $150 ?\nOptions:\n(A)  $1\n(B)  $2\n(C)  $3\n(D)  $4\n(E)  $5

Answer: (B)

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$. Thus, for two such orders = 12$\nThe difference = 2$.


Question: The sale price shirts listed for Rs.400 after successive discount is 10% and 5% is?\nOptions:\n(A) 280\n(B) 290\n(C) Rs.342\n(D) 250\n(E) 253

Answer: (C)


Question: A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work?\nOptions:\n(A) 6\n(B) 8\n(C) 12\n(D) 15\n(E) 20

Answer: (A)


Question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 6 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?\nOptions:\n(A) 60 gallons\n(B) 100 gallons\n(C) 240 gallons\n(D) 180 gallons\n(E) 130 gallons

Answer: (C)

Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40\nVolume of 1/40 part = 6 gallons\\nVolume of whole = 6 * 40 = 240 gallons.


Question: The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?\nOptions:\n(A) 46\n(B) 82\n(C) 45\n(D) 43\n(E) 53

Answer: (A)

Sum of all the 13 numbers = 13 * 60 = 780\nSum of the first 7 of them = 7 * 57 = 399\nSum of the last 7 of them = 7 * 61 = 427\nSo, the 8th number = 427 + 399 - 780 = 46.


Question: Find the smallest number which should be multiplied with 1152 to make it a perfect square.\nOptions:\n(A) 2\n(B) 1\n(C) 3\n(D) 5\n(E) 6

Answer: (A)

1152 = 2*2*2*2*2*2*2*3*3\nRequired smallest number = 2\n2 is the smallest number which should be multiplied with 1152 to make it a perfect square.


Question: The average of 13 numbers is 60. Average of the first 6 of them is 57 and that of the last 8 is 61. Find the 8th number?\nOptions:\n(A) 46\n(B) 48\n(C) 50\n(D) 52\n(E) 54

Answer: (C)

Sum of all the 13 numbers = 13 * 60 = 780\nSum of the first 6 of them = 6 * 57 = 342\nSum of the last 8 of them = 8 * 61 = 488\nSo, the 8th number = 342 + 488 - 780 = 50.


Question: A corporation triples its annual bonus to 50 of its employees. What percent Q of the employees’ new bonus is the increase?\nOptions:\n(A) 50%\n(B) 662⁄3%\n(C) 100%\n(D) 200%\n(E) 300%

Answer: (B)

Q of the employees’ new bonus is the increase Hence


Question: Efrida and Frazer who live 10 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 three 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: (B)

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


Question: A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning?\nOptions:\n(A) 39\n(B) 88\n(C) 3\n(D) 7\n(E) 62

Answer: (A)

Let the average after 7th inning = x\nThen average after 16th inning = x - 3\n\inline \fn_jvn \therefore 16(x-3)+87 = 17x\n\inline \fn_jvn \therefore x = 87 - 48 = 39


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) 287 sec\n(B) 288 sec\n(C) 48 sec\n(D) 16 sec\n(E) 17 sec

Answer: (C)


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) 1/0\n(C) 1/5\n(D) 1/4\n(E) 1/1

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: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 1 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?\nOptions:\n(A) 40 gallons\n(B) 100 gallons\n(C) 120 gallons\n(D) 180 gallons\n(E) 130 gallons

Answer: (A)

Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40\nVolume of 1/40 part = 1 gallons\\nVolume of whole = 1 * 40 = 40 gallons.


Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?\nOptions:\n(A) 49 sec\n(B) 50 sec\n(C) 48 second\n(D) 43 sec\n(E) 32 sec

Answer: (C)


Question: Which of the following is a prime number ?\nOptions:\n(A) 27\n(B) 45\n(C) 97\n(D) 98\n(E) 100

Answer: (C)


Question: If 12x = 16y = 28z, then what is a possible sum of positive integers x, y, and z?\nOptions:\n(A) 52\n(B) 58\n(C) 122\n(D) 84\n(E) 168

Answer: (C)


Question: If a company allocates 15 percent of its budget to advertising, 20 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?\nOptions:\n(A) 4/5\n(B) 3/5\n(C) 3/10\n(D) 1/5\n(E) 1/10

Answer: (E)


Question: A train running at the speed of 30 km/hr crosses a pole in 9 seconds. Find the length of the train?\nOptions:\n(A) 75\n(B) 65\n(C) 25\n(D) 288\n(E) 212

Answer: (A)

Speed = 30*(5/18) m/sec = 25/3 m/sec\nLength of Train (Distance) = Speed * Time\n(25/3) * 9 = 75 meter


Question: What should come in the place of the question mark(?) in the following equation?\n21⁄25 ÷ 9⁄20 × 5⁄12 ÷ 10⁄17\nOptions:\n(A) 7 77⁄125\n(B) 11 9⁄10\n(C) 119⁄450\n(D) 1 29⁄90\n(E) None of these

Answer: (D)


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) 10% gain\n(C) 450\n(D) 12% loss\n(E) 12% gain

Answer: (A)


Question: Look at this series: 201, 202, 204, 207, ... What number should come next?\nOptions:\n(A) 211\n(B) 205\n(C) 224\n(D) 267\n(E) 269

Answer: (A)

In this addition series, 1 is added to the first number; 2 is added to the second number; 3 is added to the third number; 4 is added to the fourth number; and go on.


Question: An analyst will recommend a combination of 2 industrial stocks, 3 transportation stocks, and 3 utility stocks. If the analyst can choose from 6 industrial stocks, 3 transportation stocks, and 4 utility stocks, how many different combinations of 9 stocks are possible?\nOptions:\n(A) 12\n(B) 19\n(C) 60\n(D) 180\n(E) 720

Answer: (C)


Question: What percent is 36 paisa's of 12 rupees?\nOptions:\n(A) 2 %\n(B) 3 %\n(C) 4 %\n(D) 5 %\n(E) 6 %

Answer: (B)


Question: If the given two numbers are respectively 7% and 28% 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) 30%\n(E) none of these

Answer: (B)

Here, l = 7 and m = 28\nTherefore, first number = l/m x 100% of second number = 7/28 x 100% of second number = 25% of second number


Question: Let the second number be 3x, so that the first number is 6x and the third number is 2x.\nOptions:\n(A) 22\n(B) 77\n(C) 98\n(D) 27\n(E) 36

Answer: (E)


Question: Calculate the speed of a boat in still water (in km/hr) if in one hour, the boat goes 15 km/hr downstream and 7 km/hr upstream.\nOptions:\n(A) 12 kmph\n(B) 13 kmph\n(C) 14 kmph\n(D) 15 kmph\n(E) 11 kmph

Answer: (E)

Speed in still water = (15 + 7)1/2 kmph = 11 kmph.


Question: In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?\nOptions:\n(A) 63\n(B) 72\n(C) 14\n(D) 50\n(E) 25

Answer: (A)

Required number of ways = (7C5 x 3C2) = (7C2 x 3C1) = = 63.


Question: Find the largest 4 digit number which isexactly divisible by 88?\nOptions:\n(A) 3454\n(B) 4586\n(C) 9944\n(D) 10564\n(E) 18664

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: The inverse ratio of 3: 7: 1 is?\nOptions:\n(A) 2:3:7\n(B) 2:3:9\n(C) 2:3:2\n(D) 2:3:6\n(E) 2:3:1

Answer: (E)


Question: Which of the following is equal to the average (arithmetic mean) of (y+4)^2 and (y-4)^2?\nOptions:\n(A) x^2\n(B) x^2+2\n(C) x^2 +12\n(D) x^2+21\n(E) y^2+16

Answer: (E)


Question: Find the smallest number which should be multiplied with 560 to make it a perfect square.\nOptions:\n(A) 60\n(B) 55\n(C) 45\n(D) 25\n(E) 35

Answer: (E)

560 = 2*2*2*2*7*5\nRequired smallest number = 7 * 5 = 35\n35 is the smallest number which should be multiplied with 560 to make it a perfect squar


Question: Solve below question 6x - 1 = -13\nOptions:\n(A) -8\n(B) -2\n(C) -5\n(D) -4\n(E) 1

Answer: (B)

1. Subtract 1 from both sides: 6x - 1 + 1 = -13 + 1 2. Simplify both sides: 6x = -12 3. Divide both sides by 6: 4. Simplify both sides: x = -2


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) 76 minutes\n(B) 29 minutes\n(C) 70 minutes\n(D) 17 minutes\n(E) 98 minutes

Answer: (C)


Question: A man rows his boat 95 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?\nOptions:\n(A) 10 kmph\n(B) 6 kmph\n(C) 5 kmph\n(D) 8 kmph\n(E) 7 kmph

Answer: (A)

Speed downstream = d/t = 95/(2 1/2) = 38 kmph\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\nThe speed of the stream = (38 - 18)/2 = 10 kmph


Question: The length E of a rectangle is decreased by 15% and its width is increased by 40%. Does the area of the rectangle decrease or increase and by what percent?\nOptions:\n(A) Decreases by 19%\n(B) Decreases by 25%\n(C) Increases by 6%\n(D) Increases by 19%\n(E) Increases by 25%

Answer: (D)

Let the length E of the rectangle be 100x, and width be 100y. Area = 100x * 100y = 10000xy\nNow after the change Length = 85x, and width = 140 y. Area = 11900xy\n% Change = (11900xy - 10000xy)/(10000xy) = 19 % Increase. Hence


Question: Find the mean proportional between 64 & 81?\nOptions:\n(A) A) 59\n(B) B) 61\n(C) C) 63\n(D) D) 72\n(E) E) 67

Answer: (D)

Formula = √a×b\nA = 64 and B = 81\n√64×81 = 8 × 9 = 72


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

Answer: (C)

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


Question: In how many different number of ways 7 men and 3 women can sit on a shopa which can accommodate persons?\nOptions:\n(A) 200\n(B) 230\n(C) 240\n(D) 250\n(E) 5040

Answer: (E)


Question: In how many different ways could couples be picked from 8 men and 5 women?\nOptions:\n(A) 8\n(B) 5\n(C) 13\n(D) 40\n(E) 20

Answer: (D)

Number of mens = 8\nNumber of womens = 5\nDifferent ways could couples be picked = 8c1 * 5c1 = 8 * 5 = 40 ways


Question: There are different 5 circles. What is the number of the greatest possible points with which the circles intersect?\nOptions:\n(A) 20\n(B) 10\n(C) 15\n(D) 22\n(E) 21

Answer: (A)

Maximum points of intersection between n different circles = n*(n - 1) = 5*4 = 20


Question: In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?\nOptions:\n(A) 9 sec\n(B) 6 sec\n(C) 8 sec\n(D) 10 sec\n(E) 11 sec

Answer: (B)


Question: How much 60% of 50 is greater than 40% of 30?\nOptions:\n(A) 18\n(B) 55\n(C) 33\n(D) 22\n(E) 11

Answer: (A)


Question: The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is?\nOptions:\n(A) 3\n(B) 4\n(C) 5\n(D) 6\n(E) 7

Answer: (B)


Question: A wheel rotates 20 times every minute and moves 15 cm during each rotation. How many metres does the wheel move in one hour?\nOptions:\n(A) 6 metre\n(B) 18 metre\n(C) 180 metre\n(D) 1200 metre\n(E) 130 metre

Answer: (C)

Number of times wheel moves in 1 hour = 12 * 60 = 1200\n:. Distance moves = (1200*15) cms = 18000 cms\nIn metres = 180 metre


Question: Find the odd man out\n444, 300, 200, 136, 87, 84, 80\nOptions:\n(A) 80\n(B) 87\n(C) 136\n(D) 200\n(E) 444

Answer: (B)


Question: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?\nOptions:\n(A) 7 kmph\n(B) 4 kmph\n(C) 4 kmph\n(D) 8 kmph\n(E) 5 kmph

Answer: (D)

Speed downstream = d/t = 85/(2 1/2) = 34 kmph\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\nThe speed of the stream = (34 - 18)/2 = 8 kmph


Question: Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?\nOptions:\n(A) 9 3/7 days\n(B) 9 7/8 days\n(C) 9 3/8 days\n(D) 4 3/8 days\n(E) 9 6/8 days

Answer: (C)


Question: Rs. 1000 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/2:1/4?\nOptions:\n(A) 200\n(B) 992\n(C) 772\n(D) 552\n(E) 312

Answer: (A)


Question: The average mark obtained by 22 candidates in an examination is 48. 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) 49\n(D) 58\n(E) 66

Answer: (E)

It is clear that 22 x 48 = 10 x 55 + K + 11 x 40 ⇒⇒ K = 66


Question: A motorcyclist goes from Nagpur to Pune, a distance of 500 kms at an average of 100 kmph speed. Another man starts from Nagpur by car 3 Â½ hours after the first, and reaches Pune Â½ hour earlier. What is the ratio of the speed of the motorcycle and the car?\nOptions:\n(A) 1:2\n(B) 1:7\n(C) 3:5\n(D) 1:5\n(E) 1:1

Answer: (C)


Question: A car finishes a journey in ten hours at the speed of 50 km/hr. If the same distance is to be covered in five hours how much more speed does the car have to gain?\nOptions:\n(A) 8 km/hr\n(B) 10 km/hr\n(C) 12 km/hr\n(D) 16 km/hr\n(E) 50 km/hr

Answer: (E)

Distance covered by the car = 50 × 10 = 500 km\n\ Speed = 500⁄5 = 100 km/hr\n\ Speed gain = 100 – 50 = 50 km/hr


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.162. Find the unknown rate of two blankets?\nOptions:\n(A) 420\n(B) 550\n(C) 490\n(D) 570\n(E) 457

Answer: (D)


Question: Adam sat with his friends in the Chinnaswamy stadium at Madurai to watch the 100 metres running race organized by the Asian athletics Association. Five rounds were run. After every round half the teams were eliminated. Finally, one team wins the game. How many teams participated in the race?\nOptions:\n(A) 32\n(B) 77\n(C) 279\n(D) 27\n(E) 91

Answer: (A)

Total five rounds were run. So in the final round 2 teams must have participated. In the penultimate round 4 teams, and 3rd round 8, 2nd round 16 and in the first round 32 teams must have participated as in each round half of the teams got eliminated.


Question: How much 50% of 56 is greater than 30% of 50?\nOptions:\n(A) 18\n(B) 99\n(C) 13\n(D) 55\n(E) 71

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) 21\n(B) 20\n(C) 17\n(D) 12\n(E) 18

Answer: (B)


Question: 4 buses runs between Chennai and Mysore. If a man goes from Chennai to Mysore by a bus and comes back to Mysore by another bus, then the total possible ways are\nOptions:\n(A) 4\n(B) 8\n(C) 12\n(D) 16\n(E) None of these

Answer: (C)

Since the man can go in 4 ways and can back in 3 ways. Therefore total number of ways are 4 x3 = 12ways.


Question: Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?\nOptions:\n(A) 226\n(B) 992 rs\n(C) 665\n(D) 771\n(E) 211

Answer: (B)


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) 1:5\n(C) 1:9\n(D) 1:3\n(E) 1:1

Answer: (A)


Question: Find the least number must be subtracted from 5474827 so that remaining no.is divisible by 12?\nOptions:\n(A) 3\n(B) 5\n(C) 4\n(D) 7\n(E) 2

Answer: (D)

On dividing 5474827 by 12 we get the remainder 7, so 7 should be subtracted


Question: What number comes next in the following number series? 12, 50, 202, 810, 3242, _____\nOptions:\n(A) 12400\n(B) 12800\n(C) 12970\n(D) 13015\n(E) 16000

Answer: (C)


Question: he population of a city is 110,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?\nOptions:\n(A) 123596\n(B) 1237723\n(C) 123776\n(D) 123728\n(E) 123718

Answer: (A)


Question: John has some chickens that have been laying him plenty of eggs. He wants to give away his eggs to several of his friends, but he wants to give them all the same number of eggs. He figures out that he needs to give 7 of his friends eggs for them to get the same amount, otherwise there is 1 extra egg left.\nWhat is the least number of eggs he needs for this to be true?\nOptions:\n(A) 201\n(B) 301\n(C) 401\n(D) 101\n(E) 501

Answer: (B)

The number of eggs must be one more than a number that is divisible by 2, 3, 4, 5, and 6 since each of these numbers leave a remainder of 1. For this to be true one less than the number must be divisible by 5, 4, and 3 (6 is 2*3 and 2 is a factor of 4 so they will automatically be a factor). 5 * 4 * 3 = 60. Then you just must find a multiple of 60 such that 60 * n + 1 is divisible by 7. 61 / 7, 121 / 7, 181 / 7, 241 / 7 all leave remainders but 301 / 7 doesn't.


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

Answer: (A)

Total ways to choose 4 employees from 8 employees = 8C3\nTwo men = 5C2\nTwo women = 3C1\nP = (5C2 * 3C1)/8C2 = 5/7 hence


Question: John has $2500 in his bank account that earns 10% interest every year. How much will be in John's bank account after one year?\nOptions:\n(A) $2600\n(B) $3000\n(C) $2250\n(D) $2750\n(E) $3500

Answer: (D)

Final number = Initial number + 20%(original number) = 2500 + 10%(2500) = 2500 + 250 = 2750.


Question: A rectangular garden is 12m by 5m, what is its area?\nOptions:\n(A) 12 square meters\n(B) 5 square meters\n(C) 44 square meters\n(D) 60 square meters\n(E) 22 square meters

Answer: (D)

Area of a Rectangle: A = w × h\nD) 60 square meters


Question: A man rows his boat 90 km downstream and 5` km upstream, taking 3 hours each time. Find the speed of the stream?\nOptions:\n(A) 7 kmph\n(B) 5 kmph\n(C) 2 kmph\n(D) 8 kmph\n(E) 1 kmph

Answer: (A)

Speed downstream = d/t = 90/(3) = 30 kmph\nSpeed upstream = d/t = 51/(3) = 17 kmph\nThe speed of the stream = (30 - 17)/2 = 7 kmph


Question: A train 90 meters long completely crosses a 200 meters long bridge in 36 seconds. What is the speed of the train is?\nOptions:\n(A) 29\n(B) 40\n(C) 25\n(D) 66\n(E) 09

Answer: (A)


Question: Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?\nOptions:\n(A) 3\n(B) 5\n(C) 7\n(D) 8\n(E) 9

Answer: (A)

On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted


Question: At what rate percent on simple interest will a sum of money double itself in 30 years?\nOptions:\n(A) 3 1/3%\n(B) 3 1/6%\n(C) 3 1/5%\n(D) 3 5/3%\n(E) 7 1/3%

Answer: (A)


Question: How many positive four-digit integers do not contain any digits other than 1 or 0 and are such that the sum of the first two digits equals the sum of the last two digits?\nOptions:\n(A) 3\n(B) 4\n(C) 8\n(D) 10\n(E) 12

Answer: (A)

The sum of the first two (last two) digits cannot be 0 because 0000 is not a four-digit integer. If the sum of the first two digits is 1, two variants are possible: 1001 and 1010 (we have to remember that 0 cannot be the first digit). If the sum of the first two digits is 2, one variant is possible: 1111. In all, there are three numbers that satisfy the given conditions: 1001, 1010, and 1111.


Question: During a sale, the price of a pair of shoes is marked down 15% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?\nOptions:\n(A) 9%\n(B) 10%\n(C) 11%\n(D) 18%\n(E) 90%

Answer: (D)

Assume the price = 100\nPrice during sale = 85\nPrice after sale = 100\nPercent increase = 15/85*100 = 18% approx.


Question: How many 5 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a consonant and the last letter has to be a consonant, and each letter can be used only once?\nOptions:\n(A) 21\n(B) 42\n(C) 1500\n(D) 600\n(E) 720

Answer: (C)

Vowel: E O\nConsonants: V R M N T\nFirst letter can be filled in 5 Ways ( As the question states that first letter has to be a consonant)\nFifth letter can be filled in 4 Ways ( As the question states that the last letter has to be a consonant)\nNow since each letter can be used only once, and 2 letters out of 7 letters are already used in First and Fifth letter\nSecond letter can be filled in 5 Ways\nThird letter can be filled in 4 Ways\nFourth letter can be filled in 3 Ways\nSo, Total number of ways = 5 Ways x 5 Ways x 4 ways x 3 ways x 5 ways = 1500