SSC MTS 2026 PYQ — Question 10

SSC MTS - 12 Feb 2026 - Shift 1 • Quantitative Aptitude • Q10

A perfect square number lies between 1700 and 1800 and is divisible by 9. Find that number and its square root.

Show answer & explanation

Correct answer: C

Explanation

Given:

Numbers between 1700 and 1800, perfect squares, and divisible by 9.

Formula:

Perfect square = n²

41² = 1681

42² = 1764

43² = 1849

1764 is in the middle.

Sum of digits = 1 + 7 + 6 + 4 = 18 ⇒ divisible by 9.

1764, 42