Two tankers contain $150$ litres and $100$ litres of petrol respectively. The maximum capacity of container which can be used to measure petrol exactly is:

150

litres

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100

litres

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50

litres

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25

litres

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Solution

The correct option is D $50$ litres
Capacity of $1$ st tanker $= 150$ litres
Capacity of $2$ nd tanker $= 100$ litres

Capacity of container which can be used to measure petrol exactly $=$ HCF $(150, 100)$

By Prime Factorisation,
$150 = 2 \times 3 \times 5^{2}$
$100 = 2^{2} \times 5^{2}$

H.C.F. $= 2 \times 5^{2} = 50$
Hence, the answer is $50$ litres.

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Two tankers contain 150 litres and 100 litres of petrol respectively. The maximum capacity of container which can be used to measure petrol exactly is:

The correct option is D 50 litresCapacity of 1st tanker =150 litresCapacity of 2nd tanker =100 litresCapacity of container which can be used to measure petrol exactly = HCF(150,100)By Prime Factorisation,150=2×3×52100=22×52H.C.F. =2×52=50Hence, the answer is 50 litres.

Two tankers contain $150$ litres and $100$ litres of petrol respectively. The maximum capacity of container which can be used to measure petrol exactly is: