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HCF and LCM Aptitude MCQ and Answers for Placement

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 1 Find the HCF of 2/3, 8/9, 64/81 and 10/27. A. 2/3 B. 2/81 C. 160/3 D. 160/81
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Explanation

The HCF of a fractional number is :

HCF of numerators/ LCM of denominators.

 2 Find the LCM of 2/3, 3/5, 4/7, 9/13. A. 36 B. 1/36 C. 1/1365 D. 12/455
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Explanation LCM of a fraction = LCM of numerators / HCF of denominators.

 3 The HCF of 1.75 , 5.6, 7 is A. 0.07 B. 0.7 C. 3.5 D. 0.35
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Explanation

To solve such questions which has decimals, first bring all the decimals to common decimal places in the following way:

1.75 , 5.6, 7

Steps:
Step 1.
The number with highest number of decimal places is : 1.75 (2 digits after decimal).
So bringing all the other options to 2 decimal places.
1.75 remains 1.75
5.6 becomes 5.60
7 becomes 7.00

Step 2.
Now take the numbers without decimal places i.e multiply each number by 100.
We get : 175, 560,700.
Step 3.
Find the HCF of these numbers and divide it by 100 (because we multiplied the numbers by 100).
175= 5x5x7
560= 2x2x2x2x7x5
700= 2x2x5x5x7
Here 5x7 is the common factor in all the 3 numbers = 35
Dividing it by 100 we get 0.35 as the HCF..

 4 The LCM of 3, 2.7, 0.09 is : A. 2.7 B. 0.27 C. 0.027 D. 27
See Answer & Explanation Lets Discuss
Explanation

To solve such questions which has decimals, first bring all the decimals to common decimal places in the following way:

3, 2.7, 0.09

Steps:
Step 1.
The number with highest number of decimal places is : 0.09 (2 digits after decimal).
So bringing all the other options to 2 decimal places.
3 becomes 3.00
2.7 become 2.70
0.09 remains 0.09

Step 2.
Now take the numbers without decimal places i.e multiply each number by 100.
We get : 300, 270, 9
Step 3.
Find the LCM of these numbers and divide it by 100 (because we multiplied the numbers by 100).
300 = 2x2x5x5x3
270=3x3x3x2x5
9= 3x3
Raise each of the prime factors to its highest power in each number.
22 x 52 x 33 = 2700
Dividing by 100 we get 27.

 5 Three numbers are in the ratio 2:3:5 , and their HCF is 12. Find the numbers. A. 12,18,30 B. 24, 36,60 C. 20,30,50 D. 8,12,20
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Explanation

The numbers can be written as 2x : 3x : 5x. And since HCF is the highest common factor. x = HCF.

So, the numbers are: 2x12, 3x12, 5x12 = 24,36,60

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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.

How should we start preparing for HCF and LCM Aptitude?

To prepare for HCF and LCM Aptitude you should start practising HCF and LCM Objective Questions from Questions Banks and Aptitude Books.

How important is HCF and LCM Aptitude MCQ in Exams?

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

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Here at placementyogi.com we have a good collection of GK Objective Type Questions that can help you to practise Multiple Choice Questions 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.