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Multiple Choice Questions

The HCF and LCM of two numbers are 11 and 385 respectively If one number lies between 75 and 125 the...........

Quantitative Aptitude LCM, HCF

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The HCF and LCM of two numbers are 11 and 385 respectively. If one number lies between 75 and 125, then that number is

110

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Explanation:

HCF × LCM= Product of two numbers
11 × 385 = Product of two numbers
11 × (5×7×11) = Product of two numbers
So, if one number say A and another is B.
75 < A < 125
(11×7) × (5×11) = Product of two numbers
Or
(11×7) × (5×11) = A × B
Then, only product of 7 and 11 will give us 77.
Therefore, one number that lies within the given range is 77.
Hence, option 1 is the correct answer.

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