Which of the following numbers is NOT divisible by 72?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 486280.
(a) 359784
Last 3 digits = 784 → 784 ÷ 8 = 98 divisible by 8
Sum of digits = 3 + 5 + 9 + 7 + 8 + 4 = 36 → 36 ÷ 9 = 4 divisible by 9
(b) 426816
Last 3 digits = 816 → 816 ÷ 8 = 102 divisible by 8
Sum = 4 + 2 + 6 + 8 + 1 + 6 = 27 → 27 ÷ 9 = 3 divisible by 9
(c) 486280
Last 3 digits = 280 → 280 ÷ 8 = 35 Not divisible by 8 (35 × 8 = 280, but not exact multiple of 8)
4+8+6+2+8+0 = 28 → 28 ÷ 9 = 3.11 Not divisible by 9
Not divisible by 9 → Not divisible by 72
(d) 754344
Last 3 digits = 344 → 344 ÷ 8 = 43✔®
Sum = 7 + 5 + 4 + 3 + 4 + 4 = 27 → 27 ÷ 9 = 3 ✔® Divisible by 72
(c) 486280 is NOT divisible by 72