Mathematics 1

1. A man goes from his house to his office with the speed of 4km/h and returns with the speed of 16km/h. Then average speed of whole journey is

(a)10km/h

(b)6km/h

(c) 6.4km/h

(d) none of these

2. A man travels with a speed of 2/5 of his usual speed. And reaches his office 15min late. The time taken with his usual speed is ?

(a) 10min

(b) 15min

(c) 20min

(d) 25min

3. walking at 4km/h, Amit reaches his school 10 mins early, if he walks at 3km/h, then he will be 10min late. The distance of his school from his house is

(a) 6km

(b) 4.5km

(c) 4km

(d) 3km

4. How much distance will a bus cover in 8h. if it is moving with a uniform speed of 37km/h?

(a) 246km

(b) 289

(c) 296km

(d) 276km

5. A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?

(a) 3.6

(b) 7.2

(c) 8.4

(d) 10

6. A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.

(a)220 km

(b)224 km

(c) 230 km

(d) 234 km

7. A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

(a)¼

(b)1/10

(c) 7/15

(d) 8/15

8. If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:

(a)4 days

(b)5 days

(c)6 days

(d) 7 days

9. A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

(a) 8 hours

(b)10 hours

(c)12 hours

(d) 24 hours

10. A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?

(a) 5

(b)6

(c)8

(d) 5 1/2

11. Khuma completes 1/13 part of a certain work in 1 day. In how many days will he complete the whole work?

(a)13 days

(b)1/13 days

(c)1 day

d) 26days

12. If 12 men can finish a work in 20 days, then find the number of days required to complete the same work by 15 men.

(a)8

(b)20

(c)16

(d)15

13. 10 persons can make 20 toys in 12 days working 12h per day. Then, in how many days can 24 persons make 32 toys working 16h per day?

(a)4

(b) 6

(c) 12

(d) 5

14. A and B can do a piece of work in 3 days. B and C can do the same work in 9 days, while C and A   can do it in 12 days. Find the time in which A,B ad C can finish the work, working together?

(a)19/72           

(b) 72/19

(c) 13/72          

(d) 72/13

15. If 6 men or 8 women can reap a field in 86 days, how long will 14 men and 10 women take to reap it?

(a)12

(b)13

(c)22

(d)24

16. A and B working together can finish a piece of work in 12 days while B alone can finish it in 30days. In how many days can A alone finish the work?

(a)18

(b)20

(c)24

(d) 25

17. A pipe can fill a tank in 5h, while another pie can empty it in 6h. If both the pipes are opened simultaneously, then how much time will be taken to fill the tank?

(a) 30

(b) 40

(c) 50

(d) 60

18. A pipe can fill a tank in 10h. Due to leak in the bottom, it fills the tank in 20h. If the tank is full, then how much time will the leak take to empty it?

(a) 30

(b) 25

(c) 20

(d) 15

19. A and B can do a job together in 12 days. A is 2 times as efficient as B. In how many days can B alone complete the work?

(a) 36

(b) 12

(c) 18

(d) 9

20. A mason can build a tank in 12h. After working for 6h, he took the help of a boy and finished the work in another 5h. The time that the boy will take alone to complete the work is

(a)30h

(b)45h

(c)60h

(d)64h