SSC Selection Post 2023 PYQ — Question 72

SSC Selection Post - Matriculation Level - 27 June 2023 - Shift 1 • Quantitative Aptitude • Q72

 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