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The number 21460 is divisible by:

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2 and 3

2 and 5

3 and 5

Only 3

answer is B.

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Detailed Solution

Divisibility test of 2:

A number is divisible by 2 if its unit place is either 0 or a multiple of 2.

Since the unit digit of the number 21460 is 0, therefore, the given number is divisible by 2.

Divisibility test of 3:

A number is divisible by 3 if the sum of digits is a multiple of 3.

Sum of digits of 21460 = 2 + 1 + 4 + 6 + 0 = 13, which is not a multiple of 3.

∴ 21460 is not divisible by 3.

Divisibility test of 5:

A number is divisible by 5 if its unit place is 0 or 5.

Since the unit digit of the number 21460 is 0, therefore, the given number is divisible by 5.

Therefore, 21460 is divisible by both 2 and 5.

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