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Q.

If two tankers each hold 850 and 680 litres of kerosene oil, respectively, the largest container that can measure the kerosene from both tankers when utilised precisely has a capacity of:


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a

170 litres

b

85 litres

c

34 litres

d

10 litres 

answer is A.

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Detailed Solution

Concept- We need to determine the largest container that can hold the kerosene from both tankers. For that, we must use the prime factorization method to determine the largest coefficient factor of 850 and 680. We shall reduce 850 and 680 to their most basic forms before taking the common terms.
It is established that two tankers each hold 850 and 680 litres of kerosene oil.
We need to determine the largest container that can hold the kerosene from both tankers.
We must use the prime factorization method to determine the largest coefficient factor of 850 and 680 in order to determine the maximum capacity of a container that can measure the kerosene from both tankers.
We'll factorise 850 and 680 first.
We get,
Question Imageand,
Question ImageUsing the standard terms, we arrive to HCF of 850 and Question Image.
As a result, 170 litres is the maximum volume of a container that, when utilised precisely, can measure the kerosene from both tankers.
Hence, option 1 is correct.
 
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If two tankers each hold 850 and 680 litres of kerosene oil, respectively, the largest container that can measure the kerosene from both tankers when utilised precisely has a capacity of: