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What is the are of an equilateral triangle of side 16 cm?\nOptions:\n(A) 64√5\n(B) 64√9\n(C) 64√4\n(D) 64√3\n(E) 64√2

Area of an equilateral triangle = √3/4 S2\nIf S = 16, Area of triangle = √3/4 * 16 * 16 = 64√3 cm2; The final answer: (D)

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

Maximum points of intersection between n different circles = n*(n - 1) = 45*44 = 1980 The final answer: (C)

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

(2*40+3*80)/5 = 64mph The final answer: (D)

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) 5 kmph\n(C) 3 kmph\n(D) 8 kmph\n(E) 2 kmph

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 The final answer: (D)

In what time will a railway train 40 m long moving at the rate of 36 kmph pass a telegraph post on its way?\nOptions:\n(A) 3\n(B) 5\n(C) 9\n(D) 4\n(E) 7

T = 40/36 * 18/5 = 4 sec The final answer: (D)

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 30 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) 120 miles\n(E) 400 miles

Answer = A. 60 miles\nRelational speed = 130 - 100 = 30 miles per hour\nIn 3 hours, difference = 30 * 3 = 90 miles\nFast train trailing 30 miles, so effective difference = 90 - 30 = 60 miles The final answer: (A)

The average of seven numbers is 15. 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) 6\n(B) 29\n(C) 31\n(D) 34\n(E) 35

The total of seven numbers = 7X15 = 105\nThe total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99\nSo, the middle number is (105 - 99 ) = 6 The final answer: (A)

If a man can cover 14 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?\nOptions:\n(A) 189km\n(B) 195km\n(C) 197km\n(D) 200km\n(E) 205km

14 m/s = 14 * 18/5 kmph\n3 hours 45 minutes = 3 3/4 hours = 15/4 hours\nDistance = speed * time = 14 * 18/5 * 15/4 km = 189 km. The final answer: (A)

Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 50% 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) 15%\n(E) 10%

{Total} = {finance} + {marketing} - {both} + {neither}\n100 = 25 + 50 - {both} + 40\n{both} = 15%. The final answer: (D)

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

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

If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days?\nOptions:\n(A) 277\n(B) 810\n(C) 888\n(D) 166\n(E) 199

12 men 120 acres 36 days\n54 men ? 54 days\n120 * 54/12 * 54/36\n10 * 54 * 3/2\n54 * 15 = 810 The final answer: (C)

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 1/2 sec\n(B) 2 sec\n(C) 3 sec\n(D) 5 sec\n(E) 7 sec

70 + 50 = 120 * 5/18 = 100/3 mps\nD = 150 + 100 = 250 m\nT = 250 * 3/100 = 15/2 = 7 ½ sec The final answer: (A)

A certain car uses 12 gallons of gasoline in traveling 120 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car’s gas mileage be increased?\nOptions:\n(A) 2\n(B) 4\n(C) 6\n(D) 8\n(E) 10

120/10 = 12. The difference is 12- 10 = 2. The final answer: (A)

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

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 The final answer: (C)

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

T and S should serve on A The final answer: (D)

A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 5% on conveyance. If his savings at the end of the month is Rs. 3000, then his salary per month in rupees is:\nOptions:\n(A) 20000\n(B) 6000\n(C) 8000\n(D) 10000\n(E) None of these

Total expenditure = 40 + 25 + 15 + 5 = 85%\nSaving = (100 - 85) = 15%\n15/100 × Salary = 3000, Salary = 20000 Rs. The final answer: (A)

If the personal income tax rate is lowered from 42% to 28%, what is the differential savings for a tax payer having an annual income before tax to the tune of $34500?\nOptions:\n(A) $3500\n(B) $5000\n(C) $4830\n(D) $7000\n(E) $10000

Saving = (42-28)% of 34500 = 4830. The final answer: (C)

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

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. The final answer: (C)

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

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

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

1 to 11 = 11 * 53 = 583\n1 to 6 = 6 * 49 = 294\n6 to 11 = 6 * 52 = 312\n6th = 294 + 312 – 583 = 23 The final answer: (B)

If 4 men can colour 48 m long cloth in 2 days, then 6 men can colour 72 m long cloth in\nOptions:\n(A) 1 day\n(B) 2 days\n(C) 3 days\n(D) 4 days\n(E) 5 days

The length of cloth painted by one man in one day = 48 / 4 × 2 = 6 m\nNo. of days required to paint 36 m cloth by 6 men = 72/ 6 × 6 = 2 day. The final answer: (B)

The speed of a boat in still water is 50kmph and the speed of the current is 20kmph. Find the speed and upstream?\nOptions:\n(A) 30 kmph\n(B) 40 kmph\n(C) 78 kmph\n(D) 15 kmph\n(E) 23 kmph

Speed downstream = 50 + 20 = 70 kmph\nSpeed upstream = 50 - 20 = 30 kmph The final answer: (A)

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

100 * 100 = 10000\n125 * 80 = 10000 The final answer: (A)

1,2,4,7,_,16\nOptions:\n(A) 11\n(B) 9\n(C) 10\n(D) 12\n(E) 13

Each new number is the same as the last number with the adder growing by 1. This would yield 11. The final answer: (A)

If 2^4, 3^3, and 10^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?\nOptions:\n(A) 198\n(B) 288\n(C) 363\n(D) 360\n(E) 484

I will go with D (pending elements to match is 2^2*3^2*10^1 = 360 The final answer: (D)

The average of 13 numbers is 59. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?\nOptions:\n(A) 59\n(B) 83\n(C) 45\n(D) 53\n(E) 64

Sum of all the 13 numbers = 13 * 59 = 767\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 - 767 = 59. The final answer: (A)

In what time will a railway train 120 m long moving at the rate of 70 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

T = 120/70 * 18/5 = 6 sec The final answer: (D)

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

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. The final answer: (D)

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) 356\n(B) 278\n(C) 127\n(D) 279\n(E) 150

Speed = 60 * 5/18 = 50/3 m/sec\nLength of the train = speed * time = 50/3 * 9 = 150 m The final answer: (E)

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

Speed downstream = 60 + 10 = 70 kmph\nSpeed upstream = 60 - 10 = 50 kmph The final answer: (B)

How much is 90% of 40 is greater than 4/5 of 25?\nOptions:\n(A) 29\n(B) 776\n(C) 66\n(D) 16\n(E) 99

(90/100) * 40 – (4/5) * 25\n36 - 20 = 16 The final answer: (D)

What is the sum of all the composite numbers up to 20?\nOptions:\n(A) 130\n(B) 132\n(C) 124\n(D) 145\n(E) 166

4 + 6 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 = 132 The final answer: (B)

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

Any number multiplied by 2 has to be an even number. hence The final answer: (A)

Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 7 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week?\nOptions:\n(A) 30\n(B) 20\n(C) 18\n(D) 12\n(E) 6

21-12 < no of hrs < 21-6\n9< no of hrs < 14. The final answer: (D)

How many seconds will a train 100 meters long take to cross a bridge 170 meters long if the speed of the train is 36 kmph?\nOptions:\n(A) 54 sec\n(B) 65 sec\n(C) 25 sec\n(D) 45 sec\n(E) 27 sec

D = 100 + 170 = 270\nS = 36 * 5/18 = 10 mps\nT = 270/10 = 27 sec The final answer: (E)

Four of the five parts numbered (a), (b), (c), (d) and (e) in the following equation are exactly equal. Which part is not equal to the other four ? The number of that part is the answer.\nOptions:\n(A) (x + 2y) (3x + 2y) \n(B) (x + 2y) 2 + 2x(x + 2y) \n(C) (3x + 2y) 2 – 2x(3x + 2y) \n(D) 3x(x + 2y) + 2y(x + 2y) \n(E) x(3x + 2y) – 2y(3x – 2y)

Others are equal to 3x2 + 8xy + 4y2 The final answer: (E)

30 pens and 75 pencils were purchased for 510. If the average price of a pencil was 2.00, find the average price of a pen.\nOptions:\n(A) 10\n(B) 11\n(C) 12\n(D) 13\n(E) 14

Since average price of a pencil = 2\n∴ Price of 75 pencils = 150\n∴ Price of 30 pens = (510 – 150) = 360\n∴ Average price of a pen = 360⁄60 = 12 The final answer: (C)

A train 320 m in length crosses a telegraph post in 16 seconds. The speed of the train is?\nOptions:\n(A) 22 kmph\n(B) 77 kmph\n(C) 54 kmph\n(D) 72 kmph\n(E) 88 kmph

S = 320/16 * 18/5 = 72 kmph The final answer: (D)

You have a flashlight that takes 2 working batteries. You have 8 batteries but only 4 of them work.\nWhat is the fewest number of pairs you need to test to guarantee you can get the flashlight on?\nOptions:\n(A) 5\n(B) 8\n(C) 7\n(D) 6\n(E) 4

If you break the batteries into 3 groups: Two groups of 3 and one group of 2. By doing this you guarantee that one of the groups has 2 working batteries. Both of the groups of 3 have 3 possible combinations of 2 batteries and the group of 2 only has 1 combination. So, 3 + 3 + 1 = 7 tries at most to find two working batteries. The final answer: (C)

How much is 80% of 40 is greater than 4/5 of 25?\nOptions:\n(A) 15\n(B) 57\n(C) 16\n(D) 12\n(E) 73

(80/100) * 40 – (4/5) * 25\n32 - 20 = 12 The final answer: (D)

How much 45% of 60 is greater than 35% of 40?\nOptions:\n(A) 18\n(B) 13\n(C) 15\n(D) 17\n(E) 71

(45/100) * 60 – (35/100) * 40\n27 - 14 = 13 The final answer: (B)

There are 47 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

{Total} = {M} + {N} - {Both}\n{Total} = 47 + 28 - 12 = 63. The final answer: (E)

Count the numbers between 10 - 99 which yield a remainder of 3 when divided by 9 and also yield a remainder of 2 when divided by 5?\nOptions:\n(A) Two\n(B) Five\n(C) Six\n(D) Four\n(E) One

Answer = A) Two\nNumbers between 10 - 99 giving remainder 3 when divided by 9 = 12, 21, 30, 39, 48, 57, 66, 75, 84, 93\nThe Numbers giving remainder 2 when divided by 5 = 12, 57 = 2 The final answer: (A)

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 1.5 km long?\nOptions:\n(A) 6\n(B) 3\n(C) 4\n(D) 9\n(E) 2

D = 25 * 60 + 1500 = 3000 m\nT = 3000/60 * 18/5 = 180 sec = 3 mins The final answer: (B)

The total number of students in Grades 1 and 2 is 30 more than the total number of students in grades 2 and 5. How much lesser is the number of students in Grade 5 as compared to Grade 1?\nOptions:\n(A) 20\n(B) 30\n(C) 10\n(D) 40\n(E) 15

(Grade 1 + Grade 2) - (Grade 2 + Grade 5) = 30\nGrade 1 - Grade 5 = 30 The final answer: (B)

The price of a T.V. set worth Rs. 10000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?\nOptions:\n(A) 9000\n(B) 26699\n(C) 96000\n(D) 19000\n(E) 26711

Money paid in cash = Rs. 1000\nBalance payment = (10000 - 1000) = Rs. 9000 The final answer: (A)

How many factors does 49^2 have?\nOptions:\n(A) 2\n(B) 8\n(C) 24\n(D) 25\n(E) 36

36^2 = 6*6*6*6 = 2^4*3^4\nTotal factors = (4+1)*(4+1) = 6*6 = 36 The final answer: (E)

In a division sum, the remainder is 5 and the divisor is 3 times the quotient and is obtained by adding 3 to the thrice of the remainder. The dividend is:\nOptions:\n(A) 72\n(B) 76\n(C) 100\n(D) 113\n(E) 112

Diver = (5*3)+3 = 18\n3* Quotient = 18\nQuotient = 6\nDividend = (Divisor * Quotient) + Remainder\nDividend = (18* 6) + 5 = 113 The final answer: (D)

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.154. Find the unknown rate of two blankets?\nOptions:\n(A) 420\n(B) 550\n(C) 490\n(D) 450\n(E) 457

10 * 154 = 1540\n3 * 100 + 5 * 150 = 1050\n1540 – 1050 = 490 The final answer: (C)

Look at this series: 53, 53, 46, 46, 39, 39, ... What number should come next?\nOptions:\n(A) A) 12\n(B) B) 14\n(C) C) 27\n(D) D) 32\n(E) E) 86

In this series, each number is repeated, then 7 is subtracted to arrive at the next number. The final answer: (D)

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\n(B) 5\n(C) 6\n(D) 7\n(E) 8

S = 600/40 = 15 mps\nS = 3600/15 = 240 sec = 4 min The final answer: (A)

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) 3377\n(B) 2688\n(C) 2688\n(D) 8112\n(E) 1268

A = 7500(26/25)2 = 8112 The final answer: (D)

The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?\nOptions:\n(A) 6 2/3%\n(B) 6 2/7%\n(C) 6 2/2%\n(D) 6 3/3%\n(E) 6 5/3%

4/9 P = (P*R*R)/100\nR = 20/3 = 6 2/3% The final answer: (A)

Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as one. Given that, how many faces does the resultant solid have\nOptions:\n(A) 4\n(B) 6\n(C) 9\n(D) 10\n(E) 5

To arrange them as described I did as follows on my scratch paper (see the file attached), where I counted 4 sides and bottom, hence 4+1 = 5. The final answer: (E)

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) 288\n(B) 200\n(C) 279\n(D) 992\n(E) 208

(800*3*3)/100 = 72\n920 + 72 = 992 The final answer: (D)

Express 60 mps in kmph?\nOptions:\n(A) 200\n(B) 182\n(C) 216\n(D) 127\n(E) 400

60 * 18/5 = 216 kmph The final answer: (C)

How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 390 m in length?\nOptions:\n(A) 18.9 sec\n(B) 88.9 sec\n(C) 22.9 sec\n(D) 30.00 sec\n(E) 72.0 sec

D = 110 + 390 = 500 m\nS = 60 * 5/18 = 50/3\nT = 500 * 3/50 = 30 sec The final answer: (D)

From group of 15 cricket players a team of 11 players is to be chosen. How many ways this can be done?\nOptions:\n(A) 3252\n(B) 1365\n(C) 5325\n(D) 1432\n(E) 1324

11 players are to be chosen from 15 players. This can be done in 15C11 ways. ie) 15!/11!x4! = 1365 ways. Ans: The final answer: (B)

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

Let the boys are X, then girls are 7X, total = X+7X = 8X\nSo it should be multiple of 8, 30 is not a multiple of 8. The final answer: (C)

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

Area of an equilateral triangle = √3/4 S2\nIf S = 2, Area of triangle = √3/4 * 2 * 2 = √3 cm2; The final answer: (A)

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

(50/100) * 250 – (25/100) * 400\n125 - 100 = 25 The final answer: (B)

How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?\nOptions:\n(A) 482\n(B) 725\n(C) 992\n(D) 837\n(E) 923

20000(11/10)4 - 20000(6/5)2 = 482 The final answer: (A)

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

Required time = (6)/3 + (6)/6 = 3 hours. The final answer: (E)

A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?\nOptions:\n(A) 30229\n(B) 3000\n(C) 278\n(D) 274\n(E) 287

60*5:36*6:75*3\n100: 72: 75\n100/247 * 7410 = 3000 The final answer: (B)

Find the product of the localvalue and absolutevalue of 1 in 20168?\nOptions:\n(A) 100\n(B) 110\n(C) 151\n(D) 120\n(E) 140

Local value of 1 = 1 x 100 = 100\nPlace value of 1 = 1\nThere fore = 1 x 100 = 100 The final answer: (A)

Five coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?\nOptions:\n(A) 2^4\n(B) 2^10\n(C) 3 * 2^8\n(D) 3 * 2^9\n(E) 3 * 2^10

Fix the third coin as H. The remaining 4 coins have 2^4 outcomes. The final answer: (A)

A train 210 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 120 meters long is?\nOptions:\n(A) 29\n(B) 22\n(C) 48\n(D) 99\n(E) 11

D = 210 + 120 = 330\nS = 54 * 5/18 = 15 mps\nT = 330/15 = 22 sec The final answer: (B)

How much more would Rs.50000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?\nOptions:\n(A) 482\n(B) 1205\n(C) 992\n(D) 837\n(E) 923

50000(11/10)4 - 50000(6/5)2 = 1205 The final answer: (B)

A small company employs 3 men and 4 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 women?\nOptions:\n(A) 1/14\n(B) 1/7\n(C) 20/70\n(D) 18/70\n(E) 1/2

Total ways to choose 4 employees from 8 employees = 8C4\nTwo women = 4C2\nTwo Men = 3C2\nP = (5C2 * 3C2)/8C2 = 18/70 hence The final answer: (D)

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

7 * 156 – 6 * 169 = 78 The final answer: (D)

In how many different ways can the letters of the word ‘DIVIDED’ be arranged?\nOptions:\n(A) 250\n(B) 280\n(C) 300\n(D) 420\n(E) 360

Number of ways = 7!/3!2! = 7X6X5X4X3X2X1/3X2X1X2X1 = 420 The final answer: (D)

In how many different ways can the letters of the word ‘EVER’ be arranged?\nOptions:\n(A) 12\n(B) 280\n(C) 300\n(D) 310\n(E) 360

Number of ways = 4!/2! = 4X3X2X1/2X1 = 12 The final answer: (A)

Fill in the blank with the correct number in this number series: 1, 20, 7, 16, __, 12, 19, ?\nOptions:\n(A) 14\n(B) 12\n(C) 13\n(D) 15\n(E) 11

This is a simple alternating subtraction and addition series; The first series begins with 1 and adds 6; the second begins with 20 and subtracts 4, and so on. The final answer: (C)

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 65 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly?\nOptions:\n(A) 60 %\n(B) 55 %\n(C) 70%\n(D) 75%\n(E) 80%

{Total} = {First correctly} + {Second correctly} - {Both correctly} + {Neither correctly}\n100 = 85 + 65 - {Both correctly} + 5\n{Both correctly} = 55. The final answer: (B)

A Train requires 8 seconds to pass a pole while it requires 18 seconds to cross a stationary train which is 400 mtrs long. Find the speed of the train.\nOptions:\n(A) 144 kmph\n(B) 124 kmph\n(C) 134 kmph\n(D) 150 kmph\n(E) 160 kmph

In 8s the train crosses the pole and in 18 sec the train crosses one more stationary train\nIn 10 sec the train travels a distance of 400 mtrs\nSpeed = 400/10 = 40 m/s = 40 (3600/1000) = 40 * 18/5 = 144 kmph The final answer: (A)

Rs.900 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) Rs.1056\n(B) Rs.1001\n(C) Rs.2056\n(D) Rs.1026\n(E) Rs.1856

(900*3*3)/100 = 81\n920 + 81 = 1001 The final answer: (B)

The compound ratio of 2/3, 6/7, 1/5 and 1/8 is given by?\nOptions:\n(A) 7/98\n(B) 1/48\n(C) 1/98\n(D) 3/350\n(E) 1/68

2/3 * 6/7 * 1/5 * 1/8 = 12/1400 = 3/350 The final answer: (D)

How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?\nOptions:\n(A) 65 sec\n(B) 88 sec\n(C) 25 sec\n(D) 88 sec\n(E) 55 sec

D = 100 + 150 = 250\nS = 36 * 5/18 = 10 mps\nT = 250/10 = 25 se The final answer: (C)

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

The term (998-998) makes the whole expression = 0. The final answer: (E)

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

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

The average of seven numbers is 18. The average of first three numbers is 16 and the average of last three numbers is 20. What is the middle number?\nOptions:\n(A) 20\n(B) 22\n(C) 25\n(D) 18\n(E) 24

The total of seven numbers = 7X18 = 126\nThe total of first 3 and last 3 numbers is = 3 X 16+3 X 20 = 108\nSo, the middle number is (126 - 108 ) = 18 The final answer: (D)

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

D = 25 * 60 + 1000 = 2500 m\nT = 2500/60 * 18/5 = 150 se The final answer: (C)

Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire\nrest of the car, then the share of each of the remaining persons increased by ?\nOptions:\n(A) 1/9\n(B) 1/8\n(C) 1/7\n(D) 7/8\n(E) 8/7

When there are eight people, the share of each person is 1/8th the total cost The final answer: (B)

Solve below question 2x - 1 = 17\nOptions:\n(A) -8\n(B) -9\n(C) -5\n(D) -4\n(E) 9

1. Add 1 to both sides: 2x - 1 + 1 = 17 + 1 2. Simplify both sides: 2x = 18 3. Divide both sides by 2: 4. Simplify both sides: x = 9 The final answer: (E)

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) 7!*1!\n(B) 7!*2!\n(C) 6!*2!\n(D) 8!*2!\n(E) 6!*2!

Total number of ways = 7!*2!. The final answer: (B)

P and Q invested in a shop. The profits were divided in the ratio of 5: 2 respectively. If P invested Rs. 5600, the amount invested by Q is:\nOptions:\n(A) 3500\n(B) 5600\n(C) 2200\n(D) 2400\n(E) None

Suppose Q invested Rs. y. Then, 5600/y = 5/2 or y = [5600 x 2 / 5] = 2240 The final answer: (E)

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

1 to 9 = 9 * 9 = 81\n1 to 5 = 5 * 10 = 50\n5 to 9 = 5 * 8 = 40\n5th = 50 + 40 = 90 – 81 = 9 The final answer: (A)

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) 22\n(B) 27\n(C) 48\n(D) 99\n(E) 23

D = 540 + 180 = 720\nS = 54 * 5/18 = 15 mps\nT = 720/15 = 48 se The final answer: (C)

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

W 1/15 + (14/15) * 1/14 = 2/15 The final answer: (D)

The average of 11 results is 50, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?\nOptions:\n(A) 55\n(B) 56\n(C) 57\n(D) 58\n(E) 59

1 to 11 = 11 * 50 = 550\n1 to 5 = 5 * 49 = 245\n5 to 11 = 7 * 52 = 364\n5th = 245 + 364 – 550 = 59 The final answer: (E)

Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 540 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)\nOptions:\n(A) 8/3\n(B) 3/8\n(C) 8/5\n(D) 12/5\n(E) 5/3

Distance traveled by Eddy = 540 km\nTime taken by Eddy = 3 hours\nAverage speed of Eddy = 540/3 = 180 km/hour\nDistance traveled by Freddy = 300 km\nTime taken by Freddy = 4 hours\nAverage speed of Freddy = 300/4 = 75 km/hour\nRatio of average speed of Eddy to Freddy = 180/75 = 12/5 The final answer: (D)

The average of seven numbers is 21. The average of first three numbers is 19 and the average of last three numbers is 23. What is the middle number?\nOptions:\n(A) 20\n(B) 22\n(C) 18\n(D) 19\n(E) 21

The total of seven numbers = 7X21 = 147\nThe total of first 3 and last 3 numbers is = 3 X 19+3 X 23 = 126\nSo, the middle number is (147 - 126 ) = 21 The final answer: (E)

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 %

120/90 = 4/3\n4/3 × 100 = 400/3 = 133 1/3 % The final answer: (A)

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

Speed downstream = 80 + 20 = 100 kmph\nSpeed upstream = 80 - 20 = 60 kmph The final answer: (C)

Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 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) 120 gallons\n(B) 200 gallons\n(C) 170 gallons\n(D) 180 gallons\n(E) 250 gallons

Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40\nVolume of 1/40 part = 3 gallons\\nVolume of whole = 3 * 40 = 120 gallons. The final answer: (A)

A no.when divided by 221 gives a remainder 43, what remainder will beobtained by dividing the same number19?\nOptions:\n(A) 3\n(B) 6\n(C) 9\n(D) 11\n(E) 15

221 + 43 = 264/17 = 9 (Remainder) The final answer: (C)

Express 35 mps in kmph?\nOptions:\n(A) 122\n(B) 188\n(C) 126\n(D) 140\n(E) 124

35 * 18/5 = 126 kmph The final answer: (C)

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

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 The final answer: (B)

The average age of applicants for a new job is 35, with a standard deviation of 30. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?\nOptions:\n(A) 8\n(B) 16\n(C) 31\n(D) 18\n(E) 34

Minimum age = Average - 1 Standard deviation = 35 - 30 = 5\nMaximum age = average + 1 Standard deviation = 35+ 30 = 35\nMaximum number of different ages of the applicants = 35- 5 + 1 = 31 The final answer: (C)

In what time will a railway train 50 m long moving at the rate of 36 kmph pass a telegraph post on its way?\nOptions:\n(A) 5 sec\n(B) 4 sec\n(C) 3 sec\n(D) 6 sec\n(E) 1 sec

T = 50/36 * 18/5 = 5 sec The final answer: (A)