Multiple choice

The sum of all the numbers between 500 and 1000 which are divisible by 13 is

  1. 28405

  2. 24805

  3. 28540

  4. None of these
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A Correct answer
Explanation

Numbers between 500 and 1000 divisible by 13 are: 507 (13×39), 520 (13×40), ..., 988 (13×76). This is an AP with first term 507, last term 988, and 38 terms. Sum = 38/2 × (507 + 988) = 19 × 1495 = 28405.

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