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CBSE Class 5  >  Class 5 Test  >  Olympiad Test: LCM And HCF - 1 - Class 5 MCQ

Olympiad Test: LCM And HCF - 1 - Free MCQ with solutions Class 5


MCQ Practice Test & Solutions: Olympiad Test: LCM And HCF - 1 (20 Questions)

You can prepare effectively for Class 5 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Olympiad Test: LCM And HCF - 1". These 20 questions have been designed by the experts with the latest curriculum of Class 5 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 40 minutes
  • - Number of Questions: 20

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Olympiad Test: LCM And HCF - 1 - Question 1
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Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

Detailed Solution: Question 1

Required number = H.C.F. of (91 – 43),
(183 – 91) and (183 – 43) = H.C.F. of 48, 92 and 140 = 4.

Olympiad Test: LCM And HCF - 1 - Question 2
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What is a factor?

Detailed Solution: Question 2

Factors are numbers that can be divided exactly into another number.

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Olympiad Test: LCM And HCF - 1 - Question 3
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Which number is a factor of 12?

Detailed Solution: Question 3

4 divides exactly into 12 three times.

Olympiad Test: LCM And HCF - 1 - Question 4
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The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:

Detailed Solution: Question 4

Clearly, the numbers are (23 × 13) and (23 × 14). Larger number = (23 × 14) = 322.

Olympiad Test: LCM And HCF - 1 - Question 5
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Which number is a factor of 25?

Detailed Solution: Question 5

5 divides exactly into 25 five times.

Olympiad Test: LCM And HCF - 1 - Question 6
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Which numbers are all factors of 10?

Detailed Solution: Question 6

All of the numbers (2, 5, 10) in this set divide exactly into 10.

Olympiad Test: LCM And HCF - 1 - Question 7
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Which numbers are all factors of 16?

Detailed Solution: Question 7

All of the numbers (2, 8, 4) in this set divide exactly into 16.

Olympiad Test: LCM And HCF - 1 - Question 8
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Which pair of factors makes 12?

Detailed Solution: Question 8

3 × 4 = 12.

Olympiad Test: LCM And HCF - 1 - Question 9
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Which number is a multiple of 2?

Detailed Solution: Question 9

5620 as this number is a multiple of 2.

Olympiad Test: LCM And HCF - 1 - Question 10
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Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:

Detailed Solution: Question 10

N = H.C.F. of (4665 – 1305), (6905 – 4665) and (6905 - 1305) = H.C.F. of 3360, 2240 and 5600 = 1120.

Olympiad Test: LCM And HCF - 1 - Question 11
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Which number is a multiple of 5?

Detailed Solution: Question 11

1985 as this is a multiple of 5 because it ends in a 5.

Olympiad Test: LCM And HCF - 1 - Question 12
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Which number is a multiple of 10?

Detailed Solution: Question 12

13,400 as this number is a multiple of 10 because it ends in a 0.

Olympiad Test: LCM And HCF - 1 - Question 13
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Which pair of factors makes 20?

Detailed Solution: Question 13

 4 × 5 = 20.

Olympiad Test: LCM And HCF - 1 - Question 14
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What is the least common multiple of 6 and 8?

Detailed Solution: Question 14

The multiples of 6 are: 6, 12, 18, 24, 30, ...
The multiples of 8 are: 8, 16, 24, 32, ...
The least common multiple of 6 and 8, is 24.

Olympiad Test: LCM And HCF - 1 - Question 15
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What is the least common multiple of 9 and 12?

Detailed Solution: Question 15

The multiples of 9 are: 9, 18, 27, 36, 45, ...
The multiples of 12 are: 12, 24, 36, 48, ... 
The least common multiple of 9 and 12 is 36.

Olympiad Test: LCM And HCF - 1 - Question 16
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What is the least common multiple of 6, 8 and 9?

Detailed Solution: Question 16

The multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78 ...
The multiples of 8 are: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80 ... 
The multiples of 9 are: 9, 18, 27, 36, 45, 54, 63, 72, 81 ...
The least common multiple of 6, 8 and 9 is 72.

Olympiad Test: LCM And HCF - 1 - Question 17
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What is the least common multiple of 8, 12 and 15?

Detailed Solution: Question 17

The multiples of 8 are: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 
112, 120, 128, ...
The multiples of 12 are: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, ...
The multiples of 15 are: 15, 30, 45, 60, 75, 90, 105, 120, 135, ...
So the least common multiple of 8, 12 and 15 is 120.

Olympiad Test: LCM And HCF - 1 - Question 18
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What is the least common multiple of 4, 6 and 7?

Detailed Solution: Question 18

The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 
64, 68, 72, 76, 80, 84, 88, ... 
The multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 
96, ...
The multiples of 7 are: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, ...
The least common multiple of 4, 6 and 7 is 84.

Olympiad Test: LCM And HCF - 1 - Question 19
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What is the least common multiple of 12, 15 and 18?

Detailed Solution: Question 19

The multiples of 12 are: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 
156, 168, 180, 192, ...
The multiples of 15 are: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 
195, ...
The multiples of 18 are: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, ... 
The least common multiple of 12, 15 and 18 is 180.

Olympiad Test: LCM And HCF - 1 - Question 20
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What is the least common multiple of 9, 12 and 24?

Detailed Solution: Question 20

The multiples of 9 are: 9, 18, 27, 36, 45, 54, 63, 72, 81, ...
The multiples of 12 are: 12, 24, 36, 48, 60, 72, 84, ...
The multiples of 24 are: 24, 48, 72, 96, ... 
So the least common multiple of 9, 12 and 24 is 72.

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This test contains 20 MCQs on Olympiad Test: LCM And HCF - 1 with detailed solutions for each question. It is part of the course on EduRev, designed to align with the current Class 5 syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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