Multiple Choice Questions

The least number which when divided by 48 60 72 108 and 140 leaves 38 50 62 98 and 130 as remainders...........

Quantitative Aptitude (CCS) LCM, HCF

The least number, which when divided by 48, 60, 72, 108 and 140 leaves 38, 50, 62, 98 and 130 as remainders respectively, is:

11115

15110

15130

15310

Here (48 – 38) = 10, (60 – 50) = 10, (72 – 62)

= 10, (108 – 98) = 10 & (140 – 130) = 10.
Required number= (L.C.M. of 48, 60, 72, 108, 140) – 10
= 15120 – 10 = 15110

Hence, option 2 is the correct answer.

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