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Question

# Test the divisibility of each of the following numers by 5: (i) 95 (ii) 470 (iii) 1056 (iv) 2735 (v) 55053 (vi) 35790 (vii) 98765 (viii) 42658 (ix) 77990

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Solution

## A given number is divisible by 5 only when its unit digit is 0 or 5. (i) 95 The number 95 has '5' at its unit's place so, it is divisible by 5. (ii) 470 The number 470 has '0' at its unit's place so, it is divisible by 5. (iii) 1056 The number 1056 has '6' at its unit's place so, it is not divisible by 5. (iv) 2735 The number 2735 has '5' at its unit's place so, it is divisible by 5. (v) 55053 The number 55053 has '3' at its unit's place so, it is not divisible by 5. (vi) 35790 The number 35790 has '0' at its unit's place so, it is divisible by 5. (vii) 98765 The number 98765 has '5' at its unit's place so, it is divisible by 5. (viii) 42658 The number 42658 has '8' at its unit's place so, it is not divisible by 5. (ix) 77990 The number 77990 has '0' at its unit's place so, it is divisible by 5.

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