Q1. At a game of billiards, A can give B 15 points in 60 and A can give C 20 points in 60. How many points can B give C in a game of 90?
(a) 30 points
(b) 20 points
(c) 10 points
(d) 12 points


Q2. A solid piece of iron of dimensions 49 × 33 × 24 cm is moulded into a sphere. The radius of the sphere is:
(a) 21 cm
(b) 28 cm
(c) 35 cm
(d) None of these

Q3. The volume of a sphere is 4851 cu. cm. Its curved surface area is:
(a) 1386 cm^2
(b) 1625 cm^2
(c) 1716 cm^2
(d) 3087 cm^2

Q4. The cost of painting the whole surface area of a cube at the rate of 13 paise per sq. cm is Rs. 343.98 Then the volume of the cube is:
(a) 8500 cm^3
(b) 9000 cm^3
(c) 9250 cm^3
(d) 9261 cm^3

Q5. The volume of a rectangular block of stone is 10368 dm^3. Its dimensions are in the ratio of 3 : 2 : 1. If its entire surface is polished at 2 paise per dm^3, then the total cost will be:
(a) Rs. 31.50
(b) Rs. 31.68
(c) Rs. 63
(d) Rs. 63.36

Q6. A sum of money amounts to Rs. 6690 after 3 years and to Rs. 10,035 after 6 years on compound interest. Find the sum.
(a) 4360
(b) 4460
(c) 4260
(d) 4560

Q7. The principal that amounts to Rs. 4913 in 3 years at 61/4% per annum compound interest compounded annually, is:
(a) Rs. 3096
(b) Rs. 4076
(c) Rs. 4085
(d) Rs. 4096


Q8. Two taps A and B can fill a tank in 5 hours and 20 hours respectively. If both the taps are open then due to a leakage, it took 30 minutes more to fill the tank. If the tank is full, how long will it take for the leakage alone to empty the tank?
(a) 4(1/2) hrs
(b) 9 hrs
(c) 18 hrs
(d) 36 hrs

Q9. 12 buckets of water fill a tank when the capacity of each tank is 13.5 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?
(a) 8
(b) 15
(c) 16
(d) 18

Q10. A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
(a) 6 min. to empty
(b) 6 min. to fill
(c) 9 min. to empty
(d) 9 min. to fill

Q11. A sum of money is sufficient to pay A’s wages for 21 days and B’s wages for 28 days. The same money is sufficient to pay the wages of both for:
(a) 12 days
(b) 12(1/4) days
(c) 14 days
(d) 24(1/2) days

Q12. A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?
(a) 18 days
(b) 24 days
(c) 30 days
(d) 36 days

Q13. A and B together can do a piece of work in 12 days, which B and C together can do in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes it in 13 days. In how many days C alone will do the work?
(a) 16
(b) 24
(c) 36
(d) 48

Q14. A, B and C can do a piece of work in 36, 54 and 72 days respectively. They started the work but A left 8 days before the completion of the work while B left 12 days before the completion. The number of days for which C worked is:
(a) 4
(b) 8
(c) 12
(d) 24

Q15. 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?
(a) 6
(b) 6(1/3)
(c) 6(2/3)
(d) 7(2/3)