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SSC GD 2021 PYQ — Question 60

SSC GD Constable (English) - 16th November 2021 Shift 1 • Quantitative Aptitude • Q60

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The greatest number that will divide 398, 437, and 5425 leaving 7,12, and 2 as reminders, respectively, is

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 17

Subtracting the remainder from the numbers, we get

398 - 7 = 391

437 - 12 = 425

5425 - 2 = 5423

Now, 

391 = 17 × 23

425 = 17 × 52

5425 = 17 × 11 × 19

So, HCF of these numbers is 17