Which of the following numbers will completely divide (661 + 662 + 663 + 664) ?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 7.
661 + 662 + 663 + 664
= 661(1 + 61 + 62 + 63)
= 661(1 + 6 + 36 + 216)
= 259 × 661
= 7 × 37 × 661
Hence, the expression will be completely divided by 7.