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SSC CGL 2019 PYQ — Question 64

SSC CGL Tier II Quant - 11/09/2019 • Quantitative Aptitude • Q64

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When 7897, 8110 and 8536 are divided by the greatest number x, then the remainder in each case is the same. The sum of the digits of x is ?

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Correct answer: D

Explanation

The correct answer is option 4 ie 6.

7897, 8110 and 8536

7897 - r = N1

8110 - r = N2

8536 - r = N3

HCF of (N1, N2, N3) = x

x = {(N1 - N2)(N2 - N3)(N3 - N1)} HCF

x = HCF {213, 426, 639}

x = 213 

sum of digits = 6