Multiple Choice Questions

Find the largest number which when divides 47 35 and 27 leaves the same remainder Also find the valu...........

Quantitative Aptitude (CHSL) LCM, HCF

Find the largest number which when divides 47, 35 and 27 leaves the same remainder. Also find the value of the remainder.

4,3

3,4

5,4

6,3

What to do when we don't know the remainder and the largest number which divides?

In such cases subtract the 3 numbers from each other

47 - 35 = 12

35 - 27 = 8

27 - 47 = -20 (Ignore minus sign)

Largest number is needed that means we need HCF of 12, 8 and 20

∴ HCF = 4 = Largest number that can divide leaving common remainder

47/4 = 11 3/4

∴ Common remainder = 3

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