Which of the following numbers divide 862026417?​

Correct option is C

Given:

Number = 862026417

Formula Used:

Divisible by 6 → divisible by 2 and 3

Divisible by 5 → last digit 0 or 5

Divisible by 7 → direct division

Divisible by 11 → (sum of odd place digits − sum of even place digits) is 0 or multiple of 11

Solution:

For 6: 

Last digit is 7 (not even) → not divisible by 6

For 5:

Last digit is not 0 or 5

For 7: 

862026417 ÷ 7 = 123146631 (divisible)

For 11: 

(7 - 1 + 4 - 6 + 2 - 0 + 2 - 6 + 8) = 10 $$\neq$$​ 0,11

Thus, option (C) 7 is correct. 

Alternate Solution(Exam-Hall trick):