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?
Options:
(A) 720
(B) 760
(C) 680
(D) 780
(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
10 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?
Options:
(A) 1/4
(B) 1/2
(C) 3/5
(D) 9/10
(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?
Options:
(A) 15 sec
(B) 16 sec
(C) 18 sec
(D) 20 sec
(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 ?
Options:
(A) 2
(B) 3
(C) 4
(D) 5
(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?
Options:
(A) 31
(B) 61
(C) 71
(D) 73
(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?
Options:
(A) 4!*2!
(B) 7!*2!
(C) 6!*1!
(D) 2!*1!
(E) 5!*1!

Answer: (B)


Question:
What approximate value should come in place of question mark (?) in the following equation
287.532 + 1894.029 – 657.48 = 743.095 + ?
Options:
(A) 870
(B) 790
(C) 780
(D) 770
(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?
Options:
(A) 42/5 sec
(B) 45/8 sec
(C) 40/6 sec
(D) 37/6 sec
(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:
Options:
(A) 13
(B) 18
(C) 21
(D) 24
(E) 38

Answer: (A)


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

Answer: (D)


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

Answer: (A)


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

Answer: (A)


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

Answer: (E)

(average) = (perimeter)/3;
12 = (perimeter)/3;
(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?
Options:
(A) 32
(B) 28
(C) 49
(D) 64
(E) 21

Answer: (D)


Question:
There are different 20 circles. What is the number of the greatest possible points with which the circles intersect?
Options:
(A) 380
(B) 200
(C) 110
(D) 180
(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?
Options:
(A) 12%
(B) 15%
(C) 45%
(D) 52%
(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?
Options:
(A) 1
(B) 2
(C) 3
(D) 4
(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.?
Options:
(A) 100
(B) 20
(C) 30
(D) 40
(E) 50

Answer: (A)

No of people from 10 - 11 is x
No of people from 11 - 12 is 11x/10
No of people from 12 to 1 is (6/5)(11x/10)
Given that 11x/10 + (6/5)(11x/10) = 121x / 50 = 242
Then 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?
Options:
(A) 120 m
(B) 180 m
(C) 200 m
(D) Cannot be determined
(E) None of these

Answer: (C)

Speed = 60 * 5/18 = 50/3 m/sec
Length 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?
Options:
(A) 1:2
(B) 1:5
(C) 1:3
(D) 1:1
(E) 1:7

Answer: (A)


Question:
In what time a sum of money double itself at 3% per annum simple interest?
Options:
(A) 36 1/3%
(B) 33 1/3%
(C) 33 1/6%
(D) 63 1/3%
(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?
Options:
(A) x^3 + y is a positive odd integer
(B) x^2 + y^2 is a negative odd integer
(C) x^0 + y^11 is a negative odd integer
(D) x + y is a positive odd integer
(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
1 + (-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?
Options:
(A) 1/3
(B) 1/6
(C) 1/4
(D) 1/8
(E) 1/5

Answer: (D)

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


Question:
Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 1234
(B) 2343
(C) 4546
(D) 3435
(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?
Options:
(A) 25d + 100e
(B) 100d + 25e
(C) 125de
(D) d + 25e
(E) 125/(de)

Answer: (D)

Dollars needed for first 100 copies = d
Dollars needed for each successive copy = e
Cost 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?
Options:
(A) 9800
(B) 9898
(C) 9702
(D) 9604
(E) 9996

Answer: (E)

Largest 4 digit number is 9999
After doing 9999 ÷ 98 we get remainder 3
Hence 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?
Options:
(A) 4 min
(B) 2 min
(C) 8 min
(D) 9 min
(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?
Options:
(A) 235 miles.
(B) 245 miles.
(C) 240 miles.
(D) 265 miles.
(E) 275 miles.

Answer: (C)

The total distance D traveled by John is given by
D = 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?
Options:
(A) Rs.49.17
(B) Rs.58
(C) Rs.54.17
(D) Rs.55.33
(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?
Options:
(A) 3
(B) 5
(C) 6
(D) 8
(E) 9

Answer: (C)

Work done by X in 1 day = 1/18
Work done by Y in 1 day = 1/15
Work done by Y in 10 days = 10/15 = 2/3
Remaining work = 1 – 2/3 = 1/3
Number 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.?
Options:
(A) 10
(B) 20
(C) 30
(D) 40
(E) 80

Answer: (E)

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


Question:
How many ways someone can make with 8 shirts and 6 pants?
Options:
(A) 50
(B) 45
(C) 55
(D) 52
(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
Options:
(A) MSQ
(B) IPS
(C) IIS
(D) ISS
(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?
Options:
(A) 22 1/8 days
(B) 22 1/2 days
(C) 22 6/2 days
(D) 72 1/2 days
(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?
Options:
(A) 85 m
(B) 70 m
(C) 115 m
(D) 50 m
(E) 150 m

Answer: (D)

Speed = 60 * 5/18 = 50/3 m/sec
Length 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?
Options:
(A) 2/5
(B) 16/20
(C) 9/10
(D) 3/5
(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?
Options:
(A) 56
(B) 78
(C) 27
(D) 79
(E) 50

Answer: (E)

Speed = 60 * 5/18 = 50/3 m/sec
Length 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?
--
Options:
(A) 12
(B) 19
(C) 90
(D) 180
(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:
Options:
(A) Rs. 3100
(B) Rs. 6240
(C) Rs. 6500
(D) Rs. 9600
(E) Rs. 8600

Answer: (B)

To get Rs. 10, Investment is 96
To 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?
Options:
(A) 22 kmph
(B) 40 kmph
(C) 60 kmph
(D) 15 kmph
(E) 23 kmph

Answer: (C)

Speed downstream = 80 + 20 = 100 kmph
Speed 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?
Options:
(A) 70
(B) 40
(C) 80
(D) 90
(E) 100

Answer: (A)

He has has ten patterns of chairs and eight patterns of tables
Hence, A chair can be arranged in 10 ways and
A table can be arranged in 7 ways
Hence 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?
Options:
(A) 106.25
(B) 105.5
(C) 105.75
(D) 106
(E) 105.0

Answer: (E)

Rate of flow of water in second hour = 36 gallons per hour
Rate of flow of water in first hour = 36/(3/2) = 24 gallons per hour
Rate of flow of water in third hour = (125/100)* 36 = (5/4) * 36 = 45 gallons per hour
Number 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?
Options:
(A) A) 400
(B) B) 450
(C) C) 500
(D) D) 550
(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?
Options:
(A) 12
(B) 22 1/2
(C) 37 1/2
(D) 50
(E) 28

Answer: (E)


Question:
Find the area of a parallelogram with base 24 cm and height 16 cm.
Options:
(A) 384 cm^2
(B) 200 cm^2
(C) 250 cm^2
(D) 350 cm^2
(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?
Options:
(A) 288
(B) 162
(C) 220
(D) 270
(E) 122

Answer: (D)

20 m/s = 20 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = 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?
Options:
(A) Rs.224
(B) Rs.216
(C) Rs.100
(D) Rs.300
(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?
Options:
(A) 3377
(B) 2889
(C) 2522
(D) 2678
(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?
Options:
(A) 19
(B) 28
(C) 30
(D) 32
(E) 44

Answer: (C)

Using Speed Formula: Speed = Distance / Time
Distance to be covered = 51-11 = 40
Speed of approach = 57 + 63 floors/min
Time = 40/120 = 1/3
So Steve will cover 57x 1/3 floors in that time = 19
So 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?
Options:
(A) 10000
(B) 18999
(C) 16990
(D) 16007
(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?
Options:
(A) 120 m
(B) 200 m
(C) 115 m
(D) 110 m
(E) 150 m

Answer: (B)

Speed = 60 * 5/18 = 50/3 m/sec
Length 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?
Options:
(A) 145646
(B) 236578
(C) 645353
(D) 456546
(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?
Options:
(A) 9
(B) 8
(C) 7
(D) 6
(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?
Options:
(A) 145646
(B) 236578
(C) 645353
(D) 456546
(E) 220070

Answer: (E)


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

Answer: (E)


Question:
What is the greatest positive integer x such that 5^x is a factor of 125^10?
Options:
(A) 5
(B) 9
(C) 10
(D) 20
(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
Options:
(A) 1/9
(B) 1/7
(C) 1/5
(D) 1/1
(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!
Required 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?
Options:
(A) 228
(B) 75
(C) 299
(D) 267
(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?
Options:
(A) 72nd
(B) 75th
(C) 83rd
(D) 85th
(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?
Options:
(A) 4
(B) 3
(C) 5
(D) 6
(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?
Options:
(A) 2
(B) 3
(C) 6
(D) 8
(E) 9

Answer: (C)

Work done by X in 1 day = 1/18
Work done by Y in 1 day = 1/15
Work done by Y in 10 days = 10/15 = 2/3
Remaining work = 1 – 2/3 = 1/3
Number 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
Options:
(A) 6
(B) 7
(C) 8
(D) 9
(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 ?
Options:
(A)  $1
(B)  $2
(C)  $3
(D)  $4
(E)  $5

Answer: (B)

Total cost involved for each 75 $ shipment: 3+2 = 5 $. Thus, for two such orders = 10$
Total cost involved for a 150$ shipment: 3+3 = 6$. Thus, for two such orders = 12$
The difference = 2$.


Question:
The sale price shirts listed for Rs.400 after successive discount is 10% and 5% is?
Options:
(A) 280
(B) 290
(C) Rs.342
(D) 250
(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?
Options:
(A) 6
(B) 8
(C) 12
(D) 15
(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?
Options:
(A) 60 gallons
(B) 100 gallons
(C) 240 gallons
(D) 180 gallons
(E) 130 gallons

Answer: (C)

Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40
Volume of 1/40 part = 6 gallons
Volume 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?
Options:
(A) 46
(B) 82
(C) 45
(D) 43
(E) 53

Answer: (A)

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


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

Answer: (A)

1152 = 2*2*2*2*2*2*2*3*3
Required smallest number = 2
2 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?
Options:
(A) 46
(B) 48
(C) 50
(D) 52
(E) 54

Answer: (C)

Sum of all the 13 numbers = 13 * 60 = 780
Sum of the first 6 of them = 6 * 57 = 342
Sum of the last 8 of them = 8 * 61 = 488
So, 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?
Options:
(A) 50%
(B) 662⁄3%
(C) 100%
(D) 200%
(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?
Options:
(A) 6
(B) 7
(C) 8
(D) 10
(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?
Options:
(A) 39
(B) 88
(C) 3
(D) 7
(E) 62

Answer: (A)

Let the average after 7th inning = x
Then average after 16th inning = x - 3
\inline \fn_jvn \therefore 16(x-3)+87 = 17x
\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?
Options:
(A) 287 sec
(B) 288 sec
(C) 48 sec
(D) 16 sec
(E) 17 sec

Answer: (C)


Question:
If six persons sit in a row, then the probability that three particular persons are always together is ?
Options:
(A) 1/6
(B) 1/0
(C) 1/5
(D) 1/4
(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?
Options:
(A) 40 gallons
(B) 100 gallons
(C) 120 gallons
(D) 180 gallons
(E) 130 gallons

Answer: (A)

Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40
Volume of 1/40 part = 1 gallons
Volume 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?
Options:
(A) 49 sec
(B) 50 sec
(C) 48 second
(D) 43 sec
(E) 32 sec

Answer: (C)


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

Answer: (C)


Question:
If 12x = 16y = 28z, then what is a possible sum of positive integers x, y, and z?
Options:
(A) 52
(B) 58
(C) 122
(D) 84
(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?
Options:
(A) 4/5
(B) 3/5
(C) 3/10
(D) 1/5
(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?
Options:
(A) 75
(B) 65
(C) 25
(D) 288
(E) 212

Answer: (A)

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


Question:
What should come in the place of the question mark(?) in the following equation?
21⁄25 ÷ 9⁄20 × 5⁄12 ÷ 10⁄17
Options:
(A) 7 77⁄125
(B) 11 9⁄10
(C) 119⁄450
(D) 1 29⁄90
(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?
Options:
(A) 9 % loss
(B) 10% gain
(C) 450
(D) 12% loss
(E) 12% gain

Answer: (A)


Question:
Look at this series: 201, 202, 204, 207, ... What number should come next?
Options:
(A) 211
(B) 205
(C) 224
(D) 267
(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?
Options:
(A) 12
(B) 19
(C) 60
(D) 180
(E) 720

Answer: (C)


Question:
What percent is 36 paisa's of 12 rupees?
Options:
(A) 2 %
(B) 3 %
(C) 4 %
(D) 5 %
(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 ?
Options:
(A) 20%
(B) 25%
(C) 18%
(D) 30%
(E) none of these

Answer: (B)

Here, l = 7 and m = 28
Therefore, 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.
Options:
(A) 22
(B) 77
(C) 98
(D) 27
(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.
Options:
(A) 12 kmph
(B) 13 kmph
(C) 14 kmph
(D) 15 kmph
(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?
Options:
(A) 63
(B) 72
(C) 14
(D) 50
(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?
Options:
(A) 3454
(B) 4586
(C) 9944
(D) 10564
(E) 18664

Answer: (C)

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


Question:
The inverse ratio of 3: 7: 1 is?
Options:
(A) 2:3:7
(B) 2:3:9
(C) 2:3:2
(D) 2:3:6
(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?
Options:
(A) x^2
(B) x^2+2
(C) x^2 +12
(D) x^2+21
(E) y^2+16

Answer: (E)


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

Answer: (E)

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


Question:
Solve below question 6x - 1 = -13
Options:
(A) -8
(B) -2
(C) -5
(D) -4
(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?
Options:
(A) 76 minutes
(B) 29 minutes
(C) 70 minutes
(D) 17 minutes
(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?
Options:
(A) 10 kmph
(B) 6 kmph
(C) 5 kmph
(D) 8 kmph
(E) 7 kmph

Answer: (A)

Speed downstream = d/t = 95/(2 1/2) = 38 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The 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?
Options:
(A) Decreases by 19%
(B) Decreases by 25%
(C) Increases by 6%
(D) Increases by 19%
(E) Increases by 25%

Answer: (D)

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


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

Answer: (D)

Formula = √a×b
A = 64 and B = 81
√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?
Options:
(A) (ac) /(bd)
(B) a/b + c/d
(C) (a + c) /(b + d)
(D) (abc) /d
(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?
Options:
(A) 200
(B) 230
(C) 240
(D) 250
(E) 5040

Answer: (E)


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

Answer: (D)

Number of mens = 8
Number of womens = 5
Different 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?
Options:
(A) 20
(B) 10
(C) 15
(D) 22
(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?
Options:
(A) 9 sec
(B) 6 sec
(C) 8 sec
(D) 10 sec
(E) 11 sec

Answer: (B)


Question:
How much 60% of 50 is greater than 40% of 30?
Options:
(A) 18
(B) 55
(C) 33
(D) 22
(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?
Options:
(A) 3
(B) 4
(C) 5
(D) 6
(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?
Options:
(A) 6 metre
(B) 18 metre
(C) 180 metre
(D) 1200 metre
(E) 130 metre

Answer: (C)

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


Question:
Find the odd man out
444, 300, 200, 136, 87, 84, 80
Options:
(A) 80
(B) 87
(C) 136
(D) 200
(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?
Options:
(A) 7 kmph
(B) 4 kmph
(C) 4 kmph
(D) 8 kmph
(E) 5 kmph

Answer: (D)

Speed downstream = d/t = 85/(2 1/2) = 34 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The 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?
Options:
(A) 9 3/7 days
(B) 9 7/8 days
(C) 9 3/8 days
(D) 4 3/8 days
(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?
Options:
(A) 200
(B) 992
(C) 772
(D) 552
(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 ?
Options:
(A) 22
(B) 0
(C) 49
(D) 58
(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?
Options:
(A) 1:2
(B) 1:7
(C) 3:5
(D) 1:5
(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?
Options:
(A) 8 km/hr
(B) 10 km/hr
(C) 12 km/hr
(D) 16 km/hr
(E) 50 km/hr

Answer: (E)

Distance covered by the car = 50 × 10 = 500 km
\ Speed = 500⁄5 = 100 km/hr
\ 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?
Options:
(A) 420
(B) 550
(C) 490
(D) 570
(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?
Options:
(A) 32
(B) 77
(C) 279
(D) 27
(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?
Options:
(A) 18
(B) 99
(C) 13
(D) 55
(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?
Options:
(A) 21
(B) 20
(C) 17
(D) 12
(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
Options:
(A) 4
(B) 8
(C) 12
(D) 16
(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?
Options:
(A) 226
(B) 992 rs
(C) 665
(D) 771
(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?
Options:
(A) 1:2
(B) 1:5
(C) 1:9
(D) 1:3
(E) 1:1

Answer: (A)


Question:
Find the least number must be subtracted from 5474827 so that remaining no.is divisible by 12?
Options:
(A) 3
(B) 5
(C) 4
(D) 7
(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, _____
Options:
(A) 12400
(B) 12800
(C) 12970
(D) 13015
(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?
Options:
(A) 123596
(B) 1237723
(C) 123776
(D) 123728
(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.
What is the least number of eggs he needs for this to be true?
Options:
(A) 201
(B) 301
(C) 401
(D) 101
(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?
Options:
(A)  5/7
(B)  1/7
(C)  2/7
(D)  3/7
(E)  1/2

Answer: (A)

Total ways to choose 4 employees from 8 employees = 8C3
Two men = 5C2
Two women = 3C1
P = (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?
Options:
(A) $2600
(B) $3000
(C) $2250
(D) $2750
(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?
Options:
(A) 12 square meters
(B) 5 square meters
(C) 44 square meters
(D) 60 square meters
(E) 22 square meters

Answer: (D)

Area of a Rectangle: A = w × h
D) 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?
Options:
(A) 7 kmph
(B) 5 kmph
(C) 2 kmph
(D) 8 kmph
(E) 1 kmph

Answer: (A)

Speed downstream = d/t = 90/(3) = 30 kmph
Speed upstream = d/t = 51/(3) = 17 kmph
The 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?
Options:
(A) 29
(B) 40
(C) 25
(D) 66
(E) 09

Answer: (A)


Question:
Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?
Options:
(A) 3
(B) 5
(C) 7
(D) 8
(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?
Options:
(A) 3 1/3%
(B) 3 1/6%
(C) 3 1/5%
(D) 3 5/3%
(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?
Options:
(A) 3
(B) 4
(C) 8
(D) 10
(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?
Options:
(A) 9%
(B) 10%
(C) 11%
(D) 18%
(E) 90%

Answer: (D)

Assume the price = 100
Price during sale = 85
Price after sale = 100
Percent 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?
Options:
(A) 21
(B) 42
(C) 1500
(D) 600
(E) 720

Answer: (C)

Vowel: E O
Consonants: V R M N T
First letter can be filled in 5 Ways ( As the question states that first letter has to be a consonant)
Fifth letter can be filled in 4 Ways ( As the question states that the last letter has to be a consonant)
Now since each letter can be used only once, and 2 letters out of 7 letters are already used in First and Fifth letter
Second letter can be filled in 5 Ways
Third letter can be filled in 4 Ways
Fourth letter can be filled in 3 Ways
So, Total number of ways = 5 Ways x 5 Ways x 4 ways x 3 ways x 5 ways = 1500


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

Answer: (C)


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

Answer: (C)

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


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

Answer: (C)

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


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

Answer: (C)


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

Answer: (C)

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


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

Answer: (E)

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


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

Answer: (C)

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


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

Answer: (E)

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


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

Answer: (A)

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


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

Answer: (E)


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

Answer: (B)

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


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

Answer: (C)

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


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

Answer: (A)


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

Answer: (A)

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


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

Answer: (B)


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

Answer: (C)

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


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

Answer: (D)

Given Speed = k/n
To Find distance in x hours with same speed
Distance = speed * time
Distance = k/n*x = kx/n


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

Answer: (D)


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

Answer: (C)

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


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

Answer: (A)


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

Answer: (C)

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


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

Answer: (D)

A prime factors are 3 and 11. 33<sqrt(99)? no
B prime factors are 2 and 7. 14<sqrt(98)? no
C prime number. its sqrt is never greater than itself
D A prime factors are 2 and 6. 6<sqrt(96)? yes
E prime factors are 5 and 19. 45<sqrt(95)? no


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

Answer: (A)

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


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

Answer: (A)


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

Answer: (C)

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


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

Answer: (A)


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

Answer: (A)


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

Answer: (B)


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

Answer: (A)

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


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

Answer: (B)


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

Answer: (E)


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

Answer: (C)


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

Answer: (C)


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

Answer: (E)

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


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

Answer: (E)

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


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

Answer: (E)


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

Answer: (A)


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

Answer: (C)

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


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

Answer: (C)


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

Answer: (B)

Six members can be selected from ten members in
10C6 = 10C4 ways.


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

Answer: (A)

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


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

Answer: (E)


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

Answer: (A)

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


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

Answer: (E)

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


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

Answer: (B)


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

Answer: (C)

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


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

Answer: (A)


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

Answer: (C)

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


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

Answer: (E)

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


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

Answer: (D)


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

Answer: (E)


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

Answer: (C)

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


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

Answer: (C)

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


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

Answer: (C)


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

Answer: (D)


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

Answer: (D)

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


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

Answer: (D)

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


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

Answer: (C)


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

Answer: (B)

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


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

Answer: (A)


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

Answer: (D)

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


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

Answer: (D)

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


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

Answer: (B)


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

Answer: (D)


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

Answer: (C)

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


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

Answer: (B)

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


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

Answer: (E)


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

Answer: (D)


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

Answer: (A)


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

Answer: (A)

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


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

Answer: (C)


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

Answer: (C)


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

Answer: (B)


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

Answer: (D)


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

Answer: (E)


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

Answer: (A)


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

Answer: (E)


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

Answer: (A)

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


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

Answer: (B)


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

Answer: (B)


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

Answer: (D)


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

Answer: (C)

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


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

Answer: (D)

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


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

Answer: (C)

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


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

Answer: (A)


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

Answer: (B)

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


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

Answer: (B)

Sum of 10 odd no. = 100
Average = 100/10 = 10


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

Answer: (D)


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

Answer: (A)


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

Answer: (D)


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

Answer: (B)

Speed = 36 * 5/18 = 10 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 1/10 = 50 sec


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

Answer: (D)

{Total} = {finance} + {marketing} - {both} + {neither}
100 = 25 + 54 - {both} + 40
{both} = 19%.


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

Answer: (D)

20m - n = p
Add n to both sides:
20m = n + p
Add m to both sides:
21m = n + p + m
Now, divide both sides by 3
7m = (n + p + m)/3 = the average of n, p, and m


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

Answer: (B)

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


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

Answer: (E)


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

Answer: (A)

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


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

Answer: (C)

Sum of 17 even numbers = 17 * 18 = 306
Average = 306/17 = 18


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

Answer: (D)


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

Answer: (D)


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

Answer: (C)

Let the time taken be = x
One way distance = 54x
Total distance traveled = 2 * 54x = 108x
Total time taken = x + 2x = 3x
Average speed = 108x/3x = 36


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

Answer: (B)

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


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

Answer: (D)


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

Answer: (E)


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

Answer: (B)

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


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

Answer: (C)

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


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

Answer: (C)


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

Answer: (A)

Answer = A. 45 miles
Relational speed = 130 - 100 = 30 miles per hour
In 2 hours, difference = 30 * 2 = 60 miles
Fast train trailing 15 miles, so effective difference = 60 - 15 = 45 miles


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

Answer: (E)

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


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

Answer: (C)

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


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

Answer: (B)

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


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

Answer: (A)

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


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

Answer: (A)

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


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

Answer: (B)

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


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

Answer: (B)


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

Answer: (C)

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


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

Answer: (C)

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


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

Answer: (C)

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


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

Answer: (C)

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


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

Answer: (E)

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


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

Answer: (C)

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


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

Answer: (D)


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

Answer: (C)

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


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

Answer: (D)


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

Answer: (B)

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


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

Answer: (B)


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

Answer: (C)


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

Answer: (E)

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


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

Answer: (D)

Let the time taken be = x
One way distance = 63x
Total distance traveled = 2 * 63x = 126x
Total time taken = x + 2x = 3x
Average speed = 126x/3x = 42


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

Answer: (A)

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


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

Answer: (A)

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


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

Answer: (D)


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

Answer: (A)


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

Answer: (A)


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

Answer: (B)

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


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

Answer: (E)

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


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

Answer: (E)

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


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

Answer: (C)

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


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

Answer: (E)


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

Answer: (B)


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

Answer: (A)


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

Answer: (E)

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


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

Answer: (D)


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

Answer: (C)


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

Answer: (C)


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

Answer: (C)

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


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

Answer: (A)

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


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

Answer: (C)

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


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

Answer: (C)

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


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

Answer: (E)

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


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

Answer: (C)


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

Answer: (C)

Answer = C
Please refer diagram below
95 - 10 = 85


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

Answer: (B)


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

Answer: (A)


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

Answer: (C)

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


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

Answer: (A)

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


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

Answer: (D)


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

Answer: (B)


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

Answer: (E)

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


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

Answer: (E)

Number of ways = 61/21 6X5X4X3X2X1 - 360


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

Answer: (E)

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


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

Answer: (B)


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

Answer: (C)

Whenever you are asked to find the number of digits, try to bring the number in multiples of 10. This way, we can wasily calculate the umber of 0's through the powers of 10
50^8 × 8^3 × 11^2 x 10^2 = (5^2*2)^8*2^9*11^2x 10^2 = 5^16*2^17*11^2 x10^2 = 2*11^2*10^16x10^2 = 242*10^18
Hence we would have 16 trailing 0's and the three digits from 242
Total digits = 3 + 18 = 21


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

Answer: (A)

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


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

Answer: (D)

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


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

Answer: (E)


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

Answer: (C)


Question:
What approximate value should come in place of question mark (?) in the following equation
287.532 + 1894.029 – 657.48 = 843.095 + ?
Options:
(A) 870
(B) 790
(C) 680
(D) 770
(E) 890

Answer: (C)


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

Answer: (E)

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


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

Answer: (A)


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

Answer: (B)

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


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

Answer: (C)


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

Answer: (B)

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


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

Answer: (C)

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


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

Answer: (E)

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


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

Answer: (C)


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

Answer: (A)

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


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

Answer: (A)


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

Answer: (A)

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


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

Answer: (E)

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


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

Answer: (E)


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

Answer: (A)

Equation: 500/r = 500/(r+50) + 1
Plug options into the equation
A fits: 500/250 = 500/(250+250) + 1


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

Answer: (C)

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


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

Answer: (B)

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


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

Answer: (C)


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

Answer: (D)


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

Answer: (D)

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


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

Answer: (C)


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

Answer: (D)


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

Answer: (A)

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


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

Answer: (C)

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


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

Answer: (A)

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


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

Answer: (C)

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