FREE AQL Mathematical Reasoning Questions and Answers

Question 1

X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days, Y joined him till the completion of the work. How long did the work last?

Accepted Answer

10 days

Answer

6 days

Answer

15 days

Answer

20 days

Question 2

One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:

Accepted Answer

144 min

Answer

81 min.

Answer

108 min.

Answer

192 min.

Question 3

In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?

Accepted Answer

120960

Answer

10080

Answer

4989600

Answer

None of these

Question 4

Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After a further 8 years, how many times would he be of Ronit's age?

Accepted Answer

2 times

Answer

2 1/2 times

Answer

3 times

Answer

2 3/4 times

Question 5

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

Accepted Answer

9/20

Answer

1/2

Answer

2/5

Answer

8/15

Question 6

Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number.

Accepted Answer

3

Answer

10

Answer

12

Answer

17

Question 7

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30º and 45º respectively. If the lighthouse is 100 m high, the distance between the two ships is:

Accepted Answer

273m

Answer

173m

Answer

200m

Answer

300m

Question 8

When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?

Accepted Answer

Rs. 25,300

Answer

Rs. 21,000

Answer

Rs. 22,500

Answer

Rs. 25,800

Question 9

Which of the following has the most number of divisors?

Accepted Answer

176

Answer

99

Answer

101

Answer

182

Question 10

Look at this series: 544, 509, 474, 439, ... What number should come next?

Accepted Answer

404

Answer

414

Answer

420

Answer

445

X and Y can do a piece of work in 20 days and 12 days respectively.X started the work alone and then after 4 days, Y joined him till the completion of the work.How long did the work last?

X and Y can do a piece of work in 20 days and 12 days respectively.
X started the work alone and then after 4 days, Y joined him till the completion of the work.
How long did the work last?