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# HCF and LCM Aptitude MCQ and Answers for interview

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 1 The HCF of 3240 , 3600 and a third number is 36 and the LCM is 24 x 35 x 52 x 72. Find the number. A. 22 x 35 x 72. B. 22 x 53 x 72. C. 25 x 52 x 72. D. 23 x 35 x 72.
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Explanation

This is one of the best Questions on HCF and LCM,

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3240 = 2x2x2x3x3x3x3x5 = 2x 3x 5

3600 = 3x3x2x2x2x2x5x5 = 24 x 3x 52

HCF of 3240 and 3600 and = 23 x 32

So the third number must have (23 x 32 )    ---------- (1)

The LCM of the three numbers is  24 x 35 x 52 x  72.

LCM is the product of all the common prime factors raised to their highest power.

and out of the LCM 24 x  52  is taken from the first two numbers,

It means the third number must contain the remaining factors in the LCM i .e.  35 x  72  ------(2)

Using (1) and (2), we get the third number as :

23 x 35 x  72 .

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## HCF and LCM Aptitude MCQ and Answers with Explanation

HCF and LCM Aptitude MCQ and Answers for Government Sector job preparation. HCF and LCM Aptitude Objective Questions are very important for exams like CAT,MAT,XAT, SSC IBPS, Bank PO, BPSC, UPSC, Govt Jobs, Bank Clerk , UPPSC etc.

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