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Question

Find the least number which when divided by 32, 64 & 128 leaves the remainder of 8.


A

1024

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B

1034

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C

136

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D

128

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Solution

The correct option is C

136


The smallest number that is divisible by 32, 64, 128 is the LCM of 32, 64, 128.
LCM of 32, 64, 128 =

= 2×2×2×2×2×2×2

=128

When 128 is divided by 32, 64 & 128 there is no remainder. So, to get remainder 8 when divided by 32, 64 & 128, 8 is to be added to 128 i.e., 128+8 = 136


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