Class 8 Direct And Inverse Proportions CBSE Questions & Answers

Class 8 · Direct And Inverse Proportions

This is Mathematics Class 8 Direct and Inverse Proportions CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
A car is moving at a uniform speed of 75 km/hr. How far will it travel in 20 minutes? Find the time required to cover a distance of 250 km.
  • A
    2 hours 20 minutes
  • B
    None of these
  • C
    3 hours 40 minutes
  • D
    3 hours 20 minutes
    Correct
2
In the model of a fort, the flag is 9 m high, however the flag of the actual ship is 12 m high. If the height of the actual fort is 28 m what is the height of the model fort.
  • A
    21m
    Correct
  • B
    None of these
  • C
    24m
  • D
    28m
3
A fort had provisions for food for 300 men over a period of 90 days. After 20 days, 50 men left the fort. How long would the food last at the same rate?
  • A
    84
    Correct
  • B
    None of these
  • C
    87
  • D
    91
4
A hostel had provisions for 75 students for 30 days. After 6 days, 15 more students come to the hostel. How long will the remaining provisions last at the same rate?
  • A
    None of these
  • B
    20
    Correct
  • C
    15
  • D
    18
5
6 pipes are required to fill a tank in 1 hour 20 min. How long will it take if only 5 pipes of the same type are used?
  • A
    1 hour 24 minutes
  • B
    None of these
  • C
    1 hour 48 minutes
  • D
    1 hour 36 minutes
    Correct
6
If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours?
  • A
    24
    Correct
  • B
    18
  • C
    27
  • D
    15
7
If a box of toffees is divided among 24 children, they will get 5 toffees each. How many toffees will each get if the number of children is reduced by 4?
  • A
    12
  • B
    6
    Correct
  • C
    8
  • D
    10
8
A factory of socks requires 42 machines to produce a given number of socks in 63 days, how many machines are required to produce the same number of socks in 54 days?
  • A
    28
  • B
    42
  • C
    35
  • D
    49
    Correct
9
A farmer has enough grains to feed 20 hens for a period of 6 days. How long will the food last if there were 10 more hens with him?
  • A
    4
    Correct
  • B
    8
  • C
    6
  • D
    10
10
A car takes 2 hours to reach a destination by traveling 60 km/hr. How long will it take when the car travels at the speed of 80 km/hr.
  • A
    2.5 hours
  • B
    2 hours
  • C
    1.5 hours
    Correct
  • D
    3 hours
11
Suppose that y varies inversely as x and that y = 8 when x = 3. Form an equation connecting x and y.
  • A
    xy = 18
  • B
    xy = 21
  • C
    xy = 27
  • D
    xy = 24
    Correct
12
Suppose that y varies inversely as x and that y = 8 when x = 3. Calculate the value of y when x = 10.
  • A
    2
  • B
    \(2\frac{2}{5}\)
    Correct
  • C
    \(\frac{2}{5}\)
  • D
    None of these
13
If y varies directly as x and given y = 9 when x = 5, find the equation connecting x and y.
  • A
    \(y = \frac{7}{5}x\)
  • B
    None of these
  • C
    \(y = \frac{9}{5}x\)
    Correct
  • D
    \(y = \frac{{97}}{5}x\)
14
If y varies directly as x and given y = 9 when x = 5, find the value of y when x = 15.
  • A
    21
  • B
    27
    Correct
  • C
    18
  • D
    24
15
If y varies directly as x and given y = 9 when x = 5, find the value of x when y = 6.
  • A
    \(\frac{1}{3}\)
  • B
    None of these
  • C
    3
  • D
    \(3\frac{1}{3}\)
    Correct