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Quantitative Aptitude

Solving Inequalities

The H.C.F. an...

Question

The H.C.F. and L.C.M. of two numbers are 11 and 385 respectively. If one number lies between 75 and 125, then that number is ____.

A

77

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B

88

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C

99

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D

110

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E

55

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Solution

The correct option is A 77
Let the numbers be x and y.
$∴ x y = 11 \times 385 = 11 \times 5 \times 7 \times 11 = 77 \times 55$

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