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Q.

A number is divisible by both 5 and 12. By which other number will that number be always divisible?

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a

20

b

40

c

60

d

10

answer is C.

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Detailed Solution

The given numbers are 5 and 12.
The factors of the number 5 are 1, 5 and the factors of the number 12 are 1, 2, 3, 4, 6, 12.
The common factor of the numbers 5 and the number 12 is 1.
The given two numbers 5 and 12 are co-prime, since their common factor is 1.
and they are also divisible by their product ( 5 × 12) = 60.
The factors of the number 60 can be written as 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60.
Hence, the number is divisible by 60.
Therefore, option 3 is correct.

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A number is divisible by both 5 and 12. By which other number will that number be always divisible?