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Test: HCF & LCM- 2


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10 Questions MCQ Test Mathematics for Class 5 | Test: HCF & LCM- 2

Test: HCF & LCM- 2 for Class 5 2022 is part of Mathematics for Class 5 preparation. The Test: HCF & LCM- 2 questions and answers have been prepared according to the Class 5 exam syllabus.The Test: HCF & LCM- 2 MCQs are made for Class 5 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: HCF & LCM- 2 below.
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Test: HCF & LCM- 2 - Question 1

12345 is divisible by

Detailed Solution for Test: HCF & LCM- 2 - Question 1

Sum of digits is 1+2+3+4+5 = 15 , which is divisible by 3 .
So the number 12345 is divisible by 3 

Test: HCF & LCM- 2 - Question 2

Which of the following does not divide 3630?

Detailed Solution for Test: HCF & LCM- 2 - Question 2

The sum of the digits is calculated as follows:
3 + 6 + 3 + 0 = 12
12 is not divisible by 9. Therefore, 3630 is not divisible by 9.

Test: HCF & LCM- 2 - Question 3

The factor of a number is less than or equal to that number.

Detailed Solution for Test: HCF & LCM- 2 - Question 3

A factor of a number is always less than or equal to the given number. Every number except 0 and 1 has at least two factors, 1 and itself.

Test: HCF & LCM- 2 - Question 4

HCF of two numbers is 6 and their LCM is 432. If one of the number is 48, the other number is

Detailed Solution for Test: HCF & LCM- 2 - Question 4

Product of numbers = LCM x HCF

Let the other number be y

6 x 432 = 48 x y

y = 54

Hence, the other number is 54.

Test: HCF & LCM- 2 - Question 5

4, 6, 8, 9, 10, 12 are _______

Detailed Solution for Test: HCF & LCM- 2 - Question 5
  • Composite numbers are numbers with more than two factors. 
  • 4, 6, 8, 9, 10, 12 have more than two factors, hence they are composite numbers.
Test: HCF & LCM- 2 - Question 6

HCF of 190, 171 and 152 is

Detailed Solution for Test: HCF & LCM- 2 - Question 6

190 = 2 x 5 x 19

152 = 2 x 2 x 2 x 19

171 = 3 x 3 x 19

The common factor of the numbers is 19. 

Hence, the HCF of 190 , 152 , 171 is 19.

Test: HCF & LCM- 2 - Question 7

5695 is divisible by

Detailed Solution for Test: HCF & LCM- 2 - Question 7

The last digits of any number must end with 0 or 5 to be divisible by 5.
The last digit of 5695 is 5.
Therefore, 5695 is divisible by 5.

Test: HCF & LCM- 2 - Question 8

3, 7, 9, 11, 13 are

Detailed Solution for Test: HCF & LCM- 2 - Question 8
  • Odd numbers are whole numbers that cannot be divided exactly into pairs.
  • 3, 7, 9, 11, 13 cannot be divided into pairs, hence they are odd numbers.
Test: HCF & LCM- 2 - Question 9

The HCF of two numbers is 9. Which one can’t be their LCM?

Detailed Solution for Test: HCF & LCM- 2 - Question 9

H.C.F of two numbers is the highest factor present in both the numbers.

So we can say, if the HCF of two numbers is 9 then the two numbers can be 9x and 9y where x and y are co-prime.

The LCM of these two numbers = product of these two numbers.

So, LCM of 9x and 9y = 9xy (Only one 9 in the LCM because it is a common factor of both the numbers).

Hence, we can conclude that the LCM must be an integral multiple of 9 as x and y are integers.                   

From the options given only 48 is the number which is not an integral multiple of 9. So it can never be the LCM.

Test: HCF & LCM- 2 - Question 10

LCM of 3, 4 and 5 is

Detailed Solution for Test: HCF & LCM- 2 - Question 10

The value of LCM(3, 4, 5) will be the smallest number that is exactly divisible by 3, 4, and 5.
Multiples of 3, 4, and 5:

  • Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, . . . ., 48, 51, 54, 57, 60, . . . .
  • Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, . . . ., 52, 56, 60, . . . .
  • Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, . . . ., 45, 50, 55, 60, . . . .

Therefore, the LCM of 3, 4, and 5 is 60.

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