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Question

The least number of 4 digits which is exactly divisible by 13 is

A
1052
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B
1039
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C
1032
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D
1001
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Solution

The correct option is D 1001
Divisibility rule of 13 : Multiply last digit with 4 and add it to remaining number in given number, result must be divisible by 13.
1052105+(2×4)11311+(3×4)23, 23 is not divisible by 13.
1039103+(9×4)13913+(9×4)49, 49 is not divisible by 13.
1032103+(2×4)11111+(1×4)15, 15 is not divisible by 13.
1001100+(1×4)10410+(4×4)26, 26 is divisible by 13.
1001 is exactly divisible by 13.

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