Question

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

• A. 11115
• B. 15110
• C. 15120
• D. 15210
• E. 15220

Answer 1

The correct option is B

15110

Here (48 - 38) = 10, (60 - 50) = 10, (72 - 62) = 10, (108 - 98) = 10 & (140 - 130) = 10.

$\therefore$ Required number = (L.C.M. of 48, 60, 72, 108, 140) - 10 = 15120 - 10 = 15110.