Question types

Direct and Inverse Variations question types

78 questions across 4 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

78
Questions
4
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.

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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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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The amount of extension in an elastic string varies directly as the weight hung on it. If a weight of $150\ gm$ produces an extension of $2.9\ cm$, then what weight would produce an extension of $17.4\ cm?$
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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 (in $cm^3$)
$...$
$48$
$60$
$...$
$100$
$...$
$200$
p (in atmospheres)
$2$
$...$
$\frac{3}{2}$
$1$
$...$
$\frac{1}{2}$
$...$
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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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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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Which of the following quantities vary inversely as other? Journey $(x\ km)$ undertaken by a car and the petrol $(y$ litres$)$ consumed by it.
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