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The HCF and LCM of two numbers are 33 and 264 respectively. When the first number is completely divided by 2 the quotient is 33. The other number is ______.

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Question

The HCF and LCM of two numbers are 33 and 264 respectively. When the first number is completely divided by 2 the quotient is 33. The other number is ______.

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Solution

The HCF and LCM of two numbers are 33 and 264 respectively. When the first number is completely divided by 2 the quotient is 33. The other number is 132.

Explanation:

HCF = 33, LCM = 264.

First number ÷ 2 = 33 ⇒ First number = 66.

Product of two numbers = HCF × LCM = 33 × 264.

So, second number = `(33 xx 264)/66` = 132.

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Chapter 1: Real Numbers - FILL IN THE BLANK TYPE QUESTIONS (FBQs) [Page 1.44]

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R.D. Sharma Mathematics [English] Class 10
Chapter 1 Real Numbers
FILL IN THE BLANK TYPE QUESTIONS (FBQs) | Q 10. | Page 1.44
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