# Aptitude test series Set 9

1)   3/4th of a number exceeds its 2/3rd by 8. What is the number?

a. 96
b. 36
c. 72
d. 144
 Answer  Explanation ANSWER: 96 Explanation: Let the number be x.3/4x = 2/3x + 8Multiply by 129x = 8x + 96x = 96

2)   A man decides to pave with square tiles his hall which is 4.8 metres long and 5.38 metres wide. Find the largest size of the tile that he could use.

a. 21 cm
b. 2 cm
c. 269 cm
d. None of these
 Answer  Explanation ANSWER: 2 cm Explanation: The largest size of the tile is H.C.F. of 480 cm and 538 cm is 2 cm.

3)   A bonus of Rs.2800 is to be divided among 3 people such that Alex gets twice as much as David, who receives one-fourth as much as Peter. What amount did Peter get?

a. 1200
b. 2000
c. 1600
d. 1500
 Answer  Explanation ANSWER: 1600 Explanation: Let Peter’s share be x.Hence, David gets x/4 and Alex gets x/2.x + x/4 + x/2 = 28007x/4 = 2800x = Rs.1600

4)   The timing of a college is from 12 p.m to 4.20 p.m. Five lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students. Find the duration of each lecture.

a. 52 minutes
b. 45 minutes
c. 30 minutes
d. 48 minutes
 Answer  Explanation ANSWER: 48 minutes Explanation: Total time a student spends in college = 4 hours 20 minutes = 260 minutesAs there are 5 lectures, the number of breaks between lectures is 4. Total time of the break = 20 minutesHence, the duration of each lecture is = (260 – 20)/5= 48 minutes

5)   Two kinds of rice, 1st costs Rs.13 per kg and 2nd costs Rs.19 per kg are mixed together. Find the ratio in which the 2 types are mixed so that the mixture costs Rs.14.2 per kg?

a. 3:1
b. 4:1
c. 3:4
d. 4:3
 Answer  Explanation ANSWER: 4:1 Explanation: Let the total quantity of mixture be 1. If quantity of 1st type is x then quantity of the 2nd type will be (1-x)Therefore, 13x + 19(1-x) = 14.213x -19x + 19 = 14.24.8 = 6xx = 0.8 ; (1-x) = 0.2Therefore, the ratio is 0.8 : 0.2 = 4:1

6)   The ratio of two numbers is 5:9. If each number is decreased by 5, the ratio becomes 5:11. Find the numbers.

a. 30, 19
b. 21, 37
c. 15, 34
d. 15, 27
 Answer  Explanation ANSWER: 15, 27 Explanation: Let the two numbers be 5x and 9x.(5x-5)/(9x-5) = 5:11(5x-5)*11 = (9x-5)*555x – 55 = 45x – 2510x = 30x = 3Therefore, the numbers are 15 and 27.

7)   If a certain number of people can dig earth 100m deep, 25m long, and 30m broad in 12 days, then find the number of days the same number of people will require to dig earth 75m deep, 20m long and 50m broad.

a. 12
b. 18
c. 6
d. 1
 Answer  Explanation ANSWER: 12 Explanation: More number of days means – more length, more depth and more width. Hence, it’s a direct proportion. (100*25*30):(75*20*50)::12:x 75000:75000::12:x x = 12

8)   For a road work, a contractor was given a deadline to complete the work in 25 days. Hence, he employed a certain number of workers to accomplish the job. But from the very first day 9 workers were absent and the remaining workers could finish the work in 40 days. What number of workers did the contractor hired in the beginning?

a. 20
b. 30
c. 24
d. 16
 Answer  Explanation ANSWER: 24 Explanation: Let the number of workers initially hired be x. Hence, x workers can complete the work in 25 days and (x-9) workers can complete the work in 40 days. Now, the number of men and the amount of work are in direct proportion and number of men and number of days in indirect proportion.x*25 = (x – 9)*40 25x = 40x – 360 15x = 360 x = 24

9)   A inlet pipe can fill a tank in 12 hours and an outlet pipe can empty the tank in 16 hours. If both the pipes are opened simultaneously, find the time taken to fill the tank.

a. 36 hours
b. 12 hours
c. 4 hours
d. 48 hours
 Answer  Explanation ANSWER: 48 hours Explanation: As the inlet can fill the tank in 12 hours, in one hour it will fill 1/12th of the tank.Similarly, the outlet pipe in one hour can empty 1/16th part of the tank.If both are opened simultaneously, the part of the tank filled in one hour is:1/12 - 1/16 = 1/48Hence, the tank gets filled in 48 hours.

10)   A container contains 30 liters of milk. From this container 5 liter of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

a. 18.45 liter
b. 23.44 liter
c. 17.36 liter
d. 21.87 liter
 Answer  Explanation ANSWER: 17.36 liter Explanation: No explanation is available for this question!

11)   An empty bottle weighs 1/6th of the full bottle. When a certain percent of water was removed and the bottle was weighed, the weight of the bottle turned out to be 1/3rd of the bottle when it was full. What is the percent of water removed?

a. 70%
b. 85%
c. 80%
d. 75%
 Answer  Explanation ANSWER: 80% Explanation: Let the weight of full bottle be 6kg.Therefore, weight of empty bottle is 1kg and that of water is 5kg.If x% of water is removed, the weight of the bottle becomes 2kg.Therefore, the amount of water removed is 4kg.% of water removed = 4/5 *100 = 80%

12)   A man travels from A to B at a speed of 30 kmph and returns with a speed of 60 kmph. What is the average speed of the man?

a. 47.5
b. 50
c. 45
d. 40
 Answer  Explanation ANSWER: 40 Explanation: The average speed ‘v’, when a man travels two same distance with different speeds ‘v1’ and ‘v2’ is:v = (2*v1*v2) / (v1 + v2)In the above problem, v1 = 30 and v2 = 60Therefore, v = (2*30*60)/(30 + 60) = 3600/90v = 40

13)   A cab on its way to Bangalore overtakes an auto also going in the same direction at 11 am. The cab reaches Bangalore at 1.30 pm and starts the return journey after taking a break of 1 hour. On its way back it meets the auto at 3 pm. At what time will the auto reach Bangalore?

a. 3 p.m.
b. 3.30 p.m.
c. 5 p.m
d. 4 p.m
 Answer  Explanation ANSWER: 4 p.m Explanation: The time interval is shown below with an interval of half hour.11 am ------- 11:30 ------- 12 ------- 12:30 ------- 1-------1:30At 11 the cab overtakes the auto and reaches Bangalore at 1:30. Hence, the cab travels 5 segments in two and a half hour assuming the cab to be travelling at constant speed.On its way back, the cab commences its journey at 2:30 and meets the auto at 3 p.m. In half an hour the cab travels one segment and hence the auto in one segment away from Bangalore.Therefore, the auto travels 4 segments from 11 am to 3 pm assuming it to be travelling at a constant speed. Hence, the speed of auto is 4/4 = 1 segment per hour.As the auto is one segment away from Bangalore, it will take another 1 hour for the auto to reach Bangalore and hence the auto will reach Bangalore at 4 p.m.

14)   If 10 bulls can plough 20 identical fields in 3 days working 10 hours a day, then in how many days can 30 bulls plough 32 same identical fields working 8 hours a day?

a. 2
b. 4
c. 8
d. 10
 Answer  Explanation ANSWER: 2 Explanation: M1*D1*W2 = M2*D2*W110*3*10*32 = 30*d*8*20d = 2 days

15)   A man bought 6 pencils for Rs 5 and sold them at 5 pencils for Rs. 6. Calculate his gain percentage

a. 30%
b. 33%
c. 33.33%
d. 44%
 Answer  Explanation ANSWER: 44% Explanation: No explanation is available for this question!

16)   Find number which is 70% less than 60.

a. 18
b. 42
c. 20
d. 40
 Answer  Explanation ANSWER: 18 Explanation: 70% less is 30% of the given numberTherefore, 30% of 60 is 18.

17)   If the salary of an employee is first increased by 20% and the decreased by 12%, then what is the change in his salary in percent?

a. 16% increase
b. 16% decrease
c. 5.6 % increase
d. 8 % increase
 Answer  Explanation ANSWER: 5.6 % increase Explanation: Let the first change be denoted by ‘x’ and the second by ‘y’.The net change is given by {x + y + (x*y)/100}%Therefore, the net change in salary is {20 + (-12) + (20*(-12))/100}= 8 – 2.4= 5.6% (as the sign is +ve, the change is increase)

18)    In a class, 20% of the students were absent for an exam. 30% failed by 20 marks and 10% just passed. Find the average score of the class if the remaining students scored an average of 65 marks and the cut off for passing the exam is 40.

a. 45
b. 49
c. 36
d. 40
 Answer  Explanation ANSWER: 36 Explanation: Let total students be 100.Hence, marks of 20 students is 0 as they were absent.30 students scored 20 marks (as they failed by 20 marks)10 students scored 40 marks (just passed)40 students scored 65 marks (average of 65)Therefore, average score of the class is: (0 + 600 + 400 + 2600)/100 = 3600/100= 36

19)    A shopkeeper sells an item at Rs 36 and incurs a loss of 10 %. At what price should the shopkeeper sell it to gain 30 % ? (in Rs)

a. 45.5
b. 65
c. 58.5
d. 52
 Answer  Explanation ANSWER: 52 Explanation: No explanation is available for this question!

20)    A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 950 grams. Find the profit percent.

a. 100/17%
b. 100/23%
c. 100/19%
d. 100/13%
 Answer  Explanation ANSWER: 100/19% Explanation: (100 + g) / (100 + x) = True measure / Faulty measurex = 0true measure = 1000faulty measure = 950100 + g / 100 + 0 = 1000 / 950 100+g = 20/19*100g = 100/19 %

21)   The batting average of a particular batsman is 60 runs in 46 innings. If the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs, find his highest score.

a. 179
b. 208
c. 210
d. None of these
 Answer  Explanation ANSWER: 179 Explanation: Total runs scored by the batsman = 60*46 = 2760 runsNow excluding the two innings the runs scored = 58*44 = 2552 runsHence the runs scored in the two innings = 2760 – 2552 = 208 runs.Let the highest score be x, hence the lowest score = x – 150x + (x - 150) = 2082x = 358x = 179 runs

22)   The difference between the ages of two brothers is 8 years. If 12 years ago, the elder one was twice as old as his younger brother, what is the present age of the younger brother?

a. 20
b. 28
c. 24
d. 26
 Answer  Explanation ANSWER: 20 Explanation: Let the age of younger brother be x years. Hence, the age of the elder brother will be (x + 8) years.12 years ago, the younger brother was (x – 12) years and the elder brother was (x-4) years of age.(x – 4) = 2*(x – 12)x – 4 = 2x – 24x = 20 years

23)   What is the investment made if one invests in 15% stock at 50 and earns Rs.2000?

a. 8000
b. 7000
c. 5000
d. 6000
 Answer  Explanation ANSWER: 5000 Explanation: To earn Rs.15, investment = Rs.50.Hence, to earn Rs.1500, investment = (1500*50)/15= Rs.5000

24)   1, 2, 9, 64, ?

a. 125
b. 625
c. 225
d. 525
 Answer  Explanation ANSWER: 625 Explanation: No explanation is available for this question!

25)   -2, 5, 24, 61, ?

a. 122
b. 124
c. 118
d. 120
 Answer  Explanation ANSWER: 122 Explanation: No explanation is available for this question!

26)    W, S, Q, M, ?

a. I
b. J
c. K
d. L
 Answer  Explanation ANSWER: K Explanation: No explanation is available for this question!