CBSE Class 8 Maths Direct and Inverse Proportion Worksheet Set B

DIRECT AND INVERSE PROPORTION (VARIATION)

Question. 1. A train running at a speed of 54 km/hour passes a signal post in it 8 seconds. The length of train is
(a) 432 m.
(b) 150 m.
(c) 120 m.
(d) Data inadequate
Answer: (c)

Question. 2. A car is 25 km ahead of a scooter. The car is travelling at 40 km/hr and the scooter at 50 km/hr. The scooter will overtake the car after
(a) \( 1\frac{1}{2} \) hrs
(b) \( 2\frac{1}{2} \) hrs
(c) \( 3\frac{1}{2} \) hrs
(d) 3 hrs
Answer: (b)

Question. 3. Hari singh can cover a circular path of radius 21 m. in 44 sec. He will cover a distance of 3 km in
(a) 16 mt. 20 secs.
(b) 16 mt. 40 secs.
(c) 18 mt. 00 secs.
(d) 18 mt. 30 secs.
Answer: (b)

Question. 4. Two cars start from one point and move along two roads at right angles to each other. Their speeds are 36 km/hr and 48 km/hr respectively. After 15 sec. the distance between them will be
(a) 400 m.
(b) 150 m.
(c) 300 m.
(d) 250 m.
Answer: (d)

Question. 5. Ram, Mohan and Hari can do a work in 15 days, 6 days and 10 days respectively. All the three can together finish three times of that work in
(a) 21 days
(b) 18 days
(c) 9 days
(d) 15 days
Answer: (c)

Question. 6. A, B and C are employed to do a piece job for Rs. 529. A and B together are supposed to do 19/23 of the work. C should be paid
(a) Rs. 115
(b) Rs. 92
(c) Rs. 200
(d) Rs. 250
Answer: (b)

Question. 7. A and B undertook to do a piece of work for Rs. 4500. A alone could do it in 3 days and B in 12 days. With the help of C, they finish the work in 4 days. The share of C in the money is
(a) Rs. 2250
(b) Rs. 1500
(c) Rs. 750
(d) Rs. 375
Answer: (c)

Question. 8. A tank has a capacity of 240 liters. A pipe can empty \( 1/4\text{th} \) of the tank in 5 minutes and another pipe can empty \( 1/3\text{rd} \) of the tank in 6 minutes. The tank is filled and both the pipes are opened for 3 minutes. How much of the water is now left in the tank?
(a) 160 liters
(b) 164 liters
(c) 196 liters
(d) 200 litres
Answer: (b)

Question. 9. Hira, Radhu and Kalu working alone can do a piece of work in 9, 8 and 6 days respectively. They jointly finish the work and earn Rs. 522. The earnings should be divided in the ratio of
(a) 6 : 9 : 8
(b) 9 : 8 : 6
(c) 8 : 9 : 12
(d) 6 : 8 : 9
Answer: (c)

Question. 10. Javed walks at the rate of 3 km/hr for 2 hours and then at the rate of 2 km/hr for 3 hours. His average speed is .... km/hr.
(a) 4
(b) 2.4
(c) 2.5
(d) 5
Answer: (b)

Question. 11. Rohit can row 18 km in 4 hrs down stream but while returning he takes 12 hours. The speed of the water current is
(a) 1.5 km/hr
(b) 4 km/hr
(c) 2 km/hr
(d) 3 km/hr
Answer: (a)

Question. 12. Two persons move towards each other from two places 55 km apart. One moves at a speed of 12 km/hr and other at 10 km/hr. They will be first 11 km apart after moving for
(a) 3 hrs
(b) 2hrs
(c) 6hrs
(d) 4hrs
Answer: (b)

Question. 13. Sixteen men can complete a work in fifteen days. Twenty four children can do the same work in twenty days. In how many days will eight men and eight children together complete the same job?
(a) 16
(b) 15
(c) 20
(d) None of the above
Answer: (c)

Question. 14. Kishan cycles at a speed of 8 km/hr. After every 10 km, he rests for 20 minutes. How long will he take to travel a distance 40 km?
(a) 6 hrs 20 min
(b) 8 hrs
(c) 6 hrs
(d) 5 hrs
Answer: (c)

Question. 15. Three pipes are connected to a tank. Pipes A and B connected with tubewells can fill the tank in 10 hrs and 12 hrs respectively, while pipe C meant for watering the garden can empty the tank in 6 hrs. At 7 a.m. all the three pipes are opened. One fourth of the tank will be filled at
(a) 9 p.m.
(b) 10 p.m.
(c) 8 p.m.
(d) 11 p.m.
Answer: (b)

Question. 16. Shivani can do a piece of work in 16 days, Babu in 24 days and with the help of Sita, they finish it in 8 days. Sita can alone do it in
(a) 40 days
(b) 60 days
(c) 48 days
(d) 24 days
Answer: (c)

Question. 17. A and B can do a piece of work in 24 days, B and C can do it in 18 days and A and C in 12 days. Working together they will finish the work in nearly
(a) 9 days
(b) 10 days
(c) 11 days
(d) 8 days
Answer: (c)

Question. 18. Ram can complete a work in 12 days, while Rajan can finish it in 18 days. Ram works on it for 8 days and then Rajan starts working on it. The work will be finished in
(a) 6 days
(b) 7 days
(c) 8 days
(d) 9 days
Answer: (a)

Question. 19. Two pipes A and B can fill a cistern in 24 minutes and 32 minutes respectively, If both the pipes are opened together, then after how much time the pipe B be closed so that the cistern is full in 18 minutes?
(a) 6 minutes
(b) 8 minutes
(c) 10 minutes
(d) 14 minutes
Answer: (b)

Question. 20. Ravi can finish \( 12\frac{1}{2} \% \) of a work in day, while Kulwant can finish only \( 16\frac{2}{3}\% \) in a day. With the help of Narender, they finish the work in 3 days. The percentage of work finished by Narender in a day is nearest to
(a) 5%
(b) 4%
(c) 8%
(d) 10%
Answer: (b)

Question. 21. If 6 men or 8 women can finish a work in 12 days, 9 men and 12 women will finish the work in nearly
(a) 4 days
(b) 3 days
(c) 6 days
(d) 5 days
Answer: (a)

Question. 22. Two pipes A and B can fill an empty tank in 8 hours and 12 hours respectively, If the pipes are opened alternately every hour, the tank will be full earlier if
(a) A is opened first
(b) B is opened first
(c) It will take same time no mater which pipe is opened first
(d) None of these
Answer: (a)

Question. 23. B is twice as fast as A. If A can complete a job in 36 days, how long will it take for both A and B together to complete the same job?
(a) 24 days
(b) 18 days
(c) 12 days
(d) 9 days
Answer: (c)

Question. 24. A contractor undertakes to make a road in 72 days and employs 24 men. After 48 days, he finds that only half of the road is made. How many extra men should he now employ to complete the road in time?
(a) 36 men
(b) 24 men
(c) 21 men
(d) None of these
Answer: (b)

Question. 25. A and B can do a piece of work in 5 days, B and C together can do it in 4 days, If B is twice as good a workman as C, then in how many days A alone can do it?
(a) 30 days
(b) 18 days
(c) 9 days
(d) 10 days
Answer: (a)