CBSE Class 8 Mathematics Direct And Inverse Variations Worksheet Set A

CBSE Class 8 Mathematics Worksheet - Direct and Inverse Proportions CBSE,CCE and NCERT students can refer to the attached file. All educational material on the website has been prepared by the best teachers having more than 20 years of teaching experience in various schools. The study material available on our website for all CBSE classes and subjects have been prepared by teachers from all over the country. All study material has been carefully designed keeping into mind the latest CBSE examination trends.

Question. 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. 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

Question. A tank has a capacity of 240 liters. A pipe can empty 1/ 4th of the tank in 5 minutes and another pipe can empty 1/3rd 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. Ravi can finish 12(1)/2 % of a work in day, while Kulwant can finish only 16(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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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(1)/2 hrs
(b) 2(1)/2 hrs
(c) 3(1)/2 hrs
(d) 3 hrs

Answer: B

Question. 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

Please refer to the link below for CBSE Class 8 Mathematics Worksheet - Direct and Inverse Proportions