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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 :
The least number, which when divided by 48, 60, 72, 108 and 140 leaves remainders as 38,50,62,98 and 130 respectively, is :
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Solution
The correct option is B 15110
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.
15110
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.
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