SSC GD 2023 PYQ — Question 46

SSC GD Constable (English) - 10 Jan 2023 - Shift 3 • Quantitative Aptitude • Q46

The square of 28 is divided by the largest number that can exactly divide both 42 and 56. What is the result?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 56.

Factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42

Factors of 56 = 1, 2, 4, 7, 8, 14, 28, 56

Common factors of 42 and 56 are = 1, 2, 7, and 14

The Greatest Common Divisor = 14

According to the question,

Result = (282)/14 = 784/14 = 56