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SSC MTS 2022 PYQ — Question 64

SSC MTS - 15 July 2022 - Shift 3 • Quantitative Aptitude • Q64

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What is the greatest number which divides 784 and 857 and leaves the remainder 4 and 2, respectively?

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Correct answer: D

Explanation

The correct answer is Option 4 i.e. 15.

Let , x = 784 - 4 = 780

and y = 851 - 2 = 855

Factorize 780 = 22 × 3 × 5 × 13

Factorize 855 = 32 × 5 × 19

Common factors or HCF = 3 × 5 = 15

thus, 15 is such a number.