Mathematics Archives

1. P and Q can complete a work in 15 days and 10 days respectively. They started the work together and then Q left after 2 days. P alone completed the remaining work. The work was finished in__________days.

A. 12

B. 15

C. 22

D. 20

✅ The correct answer is option A. 12.
Work done by P in 1 day = 1/15

Work done by Q in 1 day = 1/10

Work done by P and Q in 1 day = 1/15 + 1/10 = 1/6

Work done by P and Q in 2 days = 2 × (1/6) = 1/3

Remaining work = 1 – 1/3 = 2/3

Time taken by P to complete the remaining work 2/3 = (2/3) / (1/15) = 10 days

Total time taken = 2 + 10 = 12 days

2. The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?

A. 12 kmph

B. 13 kmph

C. 14 kmph

D. 15 kmph

✅ The correct answer is option C. 14 kmph.

3. Find the roots of the quadratic equation: 2×2 + 3x – 9 = 0?

A. 3, -3/2

B. 3/2, -3

C. -3/2, -3

D. 3/2, 3

✅ The correct answer is option B. 3/2, -3.

4. A invested some money in 10% stock at 96. If B wants to invest in an equality good 12% stock, he must purchase a stock worth of___________?

A. Rs.50

B. Rs.105

C. Rs.115.20

D. Rs.125.40

✅ The correct answer is option C. Rs.115.20.
For an income of Rs.10,investments=Rs.96.

For an income of Rs.12,

5. Ten years ago, the age of Aftab was one-third the age of Kashif at that time. The present age of Kashif is 12 years more than the present age of Aftab. Find the present age of Aftab?

A. 14

B. 16

C. 18

D. 20

✅ The correct answer is option B. 16.

6. A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?

A. 1/455

B. 2/455

C. 1/91

D. 4/455

✅ The correct answer is option A. 1/455.

7. P takes twice as much time as Q or thrice as much time as R to finish a piece of work. They can finish the work in 2 days if work together. How much time will Q take to do the work alone?

A. 7

B. 8

C. 9

D. 6

✅ The correct answer is option D. 6.

8. A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A.

A. Rs.240

B. Rs.350

C. Rs.340

D. Rs.390

✅ The correct answer is option A. Rs.240.

9. A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water of the tank in?

A. 4 1/3 hrs

B. 7 hrs

C. 8 hrs

D. 14 hrs

✅ The correct answer is option D. 14 hrs.

10. Masood’s age 18 years hence will be thrice his age four years ago. Find Masood’s present age?

A. 12 years

B. 21 years

C. 18 years

D. 9 years

✅ The correct answer is option E. None of these.