Question types

Direct and Inverse Variations question types

65 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

65
Questions
5
Question groups
5
Question types
Sample Questions

Direct and Inverse Variations questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 12 Mark Question2 Marks
In a library 136 copies of a certain book require a shelf-length of 3.4m. How many copies of the same book would occupy a shelf-length of 5.1m?
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Q 73 Mark Question3 Marks
In 15 days, the earth picks up $1.2 \times 10^8 kg$ of dust from the atmosphere. In how many days it will pick up $4.8 \times 10^8 kg$ of dust?
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Q 83 Mark Question3 Marks
The amount of extension in an elastic string varies directly as the weight hung on it. If a weight of 150gm produces an extension of 2.9cm, then what weight would produce an extension of 17.4cm?
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Q 135 Mark Question5 Marks
It is known that for a given mass of gas, the volume v varies inversely as the pressure p.
Fill in the missing entries in the following table:
$v\left(\right.$ in $\left.cm ^3\right)$
...
48
60
...
100
...
200
p (in atmospheres)
2
...
$\frac{3}{2}$
1
...
$\frac{1}{2}$
...
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Q 144 Mark Question4 Marks
Raghu has enough money to buy 75 machines worth Rs 200 each. How many machines can he buy if he gets a discount of Rs 50 on each machine?
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Q 174 Mark Question4 Marks
A car can finish a certain journey in 10 hours at the speed of 48km/hr. By how much should its speed be increased so that it may take only 8 hours to cover the same distance?
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Q 184 Mark Question4 Marks
1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers were transferred to another fort and thus the food lasted now for 32 more days. How many soldiers left the fort?
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Fill in the blanks in the following so as to make the statement true:
Two quantities are said to vary _______ with each other if they increase (decrease) together in such a way that the ratio of the corresponding values remains same.
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