CBSE Class 8 Mathematics Direct And Inverse Variations Worksheet Set 03

Question. Observe the given table.

What can be said about x and y?
(A) x and y are directly proportional.
(B) x is inversely proportional toy.
(C) y is inversely proportional to x.
(D) There is no proportionality between x and y.
Answer : A

Question. If the cost of 27 bags of paddy is ₹ 9450, what is the cost of 36 bags of paddy?
(A) ₹12000
(B) ₹12600
(C) ₹16200
(D) ₹10620
Answer : B

Question. If the cost of "x" metres of wire is "d " rupees, what is the cost of "y" metres of wire at the same rate ?
(A) ₹(yd/x)
(B) ₹(xy)
(C) ₹(yd)
(D) ₹(xy/d)
Answer : D

Question. If 24 workers can paint a wall in 45 hours, how many workers are required to do the same work in 20 hours ?
(A) 45
(B) 24
(C) 54
(D) 36
Answer : C

Question. The scale of a map is 1 : 3 x 1 07. Two cities are 5 em apart on the map. Find the actual distance between them in kilometres.
(A) 1500 km
(B) 1000 km
(C) 1100 km
(D) 2000 km
Answer : A

Question. A car takes 3 hours to reach a destination by travelling at 60 km/h. How long will it take while travelling at 90 km/h?
(A) 1 hour 30 minutes
(B) 1 hour 40 minutes
(C) 2 hours 40 minutes
(D) 2 hours
Answer : D

Question. A wheel revolves 19500 times in 3 hours.
How many times does it revolve in 7 hours?
(A) 54500
(C) 45500
(B) 55400
(D) 50450
Answer : D

Question. If the weight of 15 sheets of thick paper is 50 grams, how many sheets of the same paper would weigh 1(1/4) kilograms?
(A) 300
(B) 250
(C) 200
(D) 375
Answer : D

Question. A photograph of a type of bacteria enlarged 50000 times attains a length of 5 em. What is the actual length of bacteria?
(A) 1000 cm
(C) 10-4 cm
(B) 10-3 cm
(D) 10-2 cm
Answer : C

Question. A contractor can complete a certain piece of work in 9 days. He employed certain number of men, but 6 of them being absent from the very first day, the rest could finish the work in 15 days. How many men were originally employed ?
(A) 12
(B) 15
(C) 18
(D) 24
Answer : B

Question. If 32 horses consume 112 kg of gram in a certain period, how much gram will be consumed by 16 horses during the same period?
(A) 56 kg
(B) 48.5 kg
(C) 31.5 kg
(D) 50 kg
Answer : A

Question. x varies inversely as square of y. Given that y = 3 for x = 1, find the value of x for y = 4.
(A) 3
(B) 9
(C) 1/3
(D) 9/16
Answer : D

Question. The price of 357 mangoes is ₹1517.25.
What will be the approximate price of 49 dozens of such mangoes ?
(A) ₹3000
(B) ₹3500
(C) ₹4000
(D) ₹2500
Answer : A

Question. If 11.25 m of a uniform iron rod weighs 42.75 kg, what will be the weight of 6 m of the same rod ?
(A) 22.8 kg
(C) 28 kg
(B) 25.6 kg
(D) 26.5 kg
Answer : A

Question. A train is moving at a uniform speed of 75 km/hr. How far will it travel in 36 minutes?
(A) 60 km
(C) 50 km
(B) 40 km
(D) 45 km
Answer : D

Question. 36 men can construct a bridge in 18 days.
In how many days will 27 men complete the construction ?
(A) 12
(B) 18
(C) 22
(D) 24
Answer : D

Question. A van covers 432 km with 36 litres of diesel. How much distance would it cover with 25 litres of diesel ?
(A) 200 km
(B) 300 km
(C) 1 00 km
(D) 350 km
Answer : B

Question. A garrison of 500 men had provisions for 27 days. After 3 days, a reinforcement of 300 men arrived. For how many more days will the remaining provisions last?
(A) 15
(B) 16
(C) 17(1/2)
(D) 18
Answer : A

Question. If a quarter kg of green chillies cost 60 paise, how many paise will 200 g cost?
(A) 48 paise
(B) 54 paise
(C) 56 paise
(D) 72 paise
Answer : A

Question. If x and y are directly proportional, find the respective values of x₁ , x₂ and y₁ in the table given.

(A) x₁ = 8; x₂ = 2; y₁ = 100
(B) x₁ = 5; x₂ = 8; y₁ = 100
(C) x₁ = 2; x₂ = 8; y₁ = 100
(D) x₁ = 5, x₂ = 8, y₁ = 120
Answer : B

Please click the below link to access CBSE Class 8 Mathematics Worksheet - Direct and Inverse Variations (1)