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H.C.F and L.C.M Aptitude Test Paper 1

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H.C.F and L.C.M Aptitude Test Paper 1


1) What is the HCF of 1095 and 1168?

  1. 37
  2. 73
  3. 43
  4. 83

Answer: B

Explanation:

By Division Method

Aptitude H.C.F and L.C.M

Therefore the HCF is 73


2) Find the HCF of 210, 385, and 735.

  1. 7
  2. 14
  3. 21
  4. 35

Answer: D

Explanation:

Aptitude H.C.F and L.C.M

210 = 2 x 5 x 3 x 7 x 1
385 = 5 x 7 x 11 x 1
735 = 5 x 7 x 3 x 7 x 1
HCF = 5 x 7 = 35


3) Aptitude H.C.F and L.C.M

Aptitude H.C.F and L.C.M

Answer: B

Explanation:

Formula: Aptitude H.C.F and L.C.M

HCF:

2= 2 x 1
8= 2 x 2 x 2
64= 2 x 2 x 2 x 2 x 2 x 2
10= 2 x 5
HCF =2

LCM:

Aptitude H.C.F and L.C.M

LCM = 3 x 3 x 3 x 3 = 81

Aptitude H.C.F and L.C.M


4) What will be the HCF of 608, 544; 638, 783; and 425, 476 respectively?

  1. 32, 29, 17
  2. 17, 32, 29
  3. 29, 32, 17
  4. 32, 17, 29

Answer: A

Explanation:

First of all we have to write the numbers as product of the prime factor.
Prime factor of 608 = 25 * 19
i.e.,

Aptitude H.C.F and L.C.M

And the prime factor of 544 = 25 * 17
i.e.,

Aptitude H.C.F and L.C.M

So, the HCF of 608 and 544 = common factor in both = 25 = 32
Similarly, The prime factor of 638 = 2 * 11 * 29
The prime factor of 783 = 3* 3 * 3 * 29
So, the HCF of 638 and 783 = 29

Now, the prime factor of 425 = 5 * 5 * 17
The prime factor of 476 = 2*2*7*17
So, the HCF of 425 and 476 = 17


5) Aptitude H.C.F and L.C.M

Aptitude H.C.F and L.C.M

Answer: C

Explanation:
Formula:Aptitude H.C.F and L.C.M

LCM:
Aptitude H.C.F and L.C.M

LCM = 2 x 2 x 5 = 20

HCF:

3=3 x 1
6=3 x 2 x 1
9=3 x 3 x 1
27=3 x 3 x 3 x 1
HCF =3
Formula:Aptitude H.C.F and L.C.M


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