SSC Selection Post 2022 PYQ — Question 72

SSC Selection Post - Matriculation Level 2022 - 2 Feb 2022 - Shift 2 • Quantitative Aptitude • Q72

If a 9-digit number 1039m837n is divisible by 72, then find the value of n2−m4n^2-m\over4.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 7.

n = 6 → last 3 digits = 376  divisible by 8

Sum of digits must be divisible by 9.

Digits: 1 + 0 + 3 + 9 + m + 8 + 3 + 7 + 6 = 37 + m

m = 8 (since 37 + 8 = 45, divisible by 9)

n2−m4=62−84=36−84=284=7\frac{n^2 - m}{4} = \frac{6^2 - 8}{4} = \frac{36 - 8}{4} = \frac{28}{4} = 7