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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