Find the least number which when divided by 48, 60, 165 leaves a remainder of 19, 31 and 136 respectively in each case.

5251

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7891

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10531

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13171

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None of these

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Solution

The correct option is E
None of these

Here, 48 – 19 = 29, 60 – 31 = 29 and 165 – 136 = 29.

Required number = (L.C.M. of 48, 60 and 165 = 2640) - 29 = 2611.

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