Multiple choice

Find the sum of all two digit numbers that give a remainder of 4 when they are divided by 7.

  1. 749

  2. 682

  3. 689

  4. 876

  5. 693
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

First, find the least 2 digit number which gives remainder 4. That number is 11. So, the equation is like 7(x) + 4, where x = 4...13. x cant be greater than 13 as the highest 2 digit number is 95. So, sum = 7(1 + 2 + ... + 13) + 4.13 = 689, using AP series. So, option 3 is correct.

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