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# HCF and LCM Aptitude Objective Questions and Answers for Placement

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 1 Find the LCM of 72,108,2100 A. 71016 B. 37800 C. 7460 D. 37300
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Explanation

72= 23 x 33 ,

108= 52 x 7

2100= 22 x 52 x 3 x 7

LCM= 23  x 33  x 52 x 7 = 37800

 2 Find the HCF of 4 x 27 x 3125 , 8 X 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 . A. 180 B. 360 C. 540 D. 1260
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Explanation

22 x 33 x 55 ,

23 x 32 x 52 x 7 ,

24 x 34 x 5 x  11 x 72

To Find the HCF, We have to take the common Prime factors,

here 2, 3 are common and their common powers are:

22 , 32 and 5 .so the HCF is 4 x 9 x 5= 180

 3 The LCM of 24,36,40 is A. 120 B. 240 C. 360 D. 480
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Explanation

24= 2x2x2x3

36= 2x2x3x3

40= 2x2x2x5

prime factors present are: 2,3,5

Each of these prime factors raised to their highest power is =

23 x 32 x 5 = 360

 4 The number of number-pairs lying between 40 and 100 which has 15 as their HCF is? A. 3 B. 4 C. 5 D. 6
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Explanation

The first number divisible by 15 after 40 is 45.

So, the pairs divisible by 15  are:

45,60

45,75

45,90 (HCF is 30)

then

60, 75

60,90(HCF is 30)

75,90

Hence the remaining pairs with HCF 15 are:

45,60

45,75

60,75

75,90

 5 The H.C.F. of two numbers is 11 and their L.C.M. is 693. If one of the numbers is 77,find the other. A. 80 B. 57 C. 63 D. 99
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Explanation

Let the required numbers be 15.x and 11x.

Then, their H.C.F. is x. So, x = 13.

The numbers are (15 x 13 and 11 x 13) i.e., 195 and 143.

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## HCF and LCM Aptitude Objective Questions and Answers with Explanation

HCF and LCM Aptitude Objective Questions and Answers for Government Sector job preparation. HCF and LCM Aptitude Multiple Choice 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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## How important is HCF and LCM Aptitude Objective Questions in Exams?

The HCF and LCM Aptitude Objective Questions paper is very important as almost all the exams ask gk questions. HCF and LCM Aptitude questions are even asked in interview round.

### Where can I practice HCF and LCM Aptitude Multiple Choice Questions and Objective Questions?

Here at placementyogi.com we have a good collection of GK Objective Type Questions that can help you to practise MCQ on HCF and LCM Aptitude. Many of these Objective questions will get repeated in government sector exams and will help you in preparing for the HCF and LCM Aptitude paper.