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Question

The least number which leaves a remainder of 3 when divided by 2, 5, 7, 10 and 15 is


A

213

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B

207

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C

210

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D

205

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Solution

The correct option is A

213


Remainder obtained = 3

LCM of 2, 5, 7, 10 and 15 is 210.

Therefore, to get the required number we have to add 3 to the LCM = 210 + 3 = 213

The least number which leaves a remainder 3 when divided by 2,5,7,10 and 15 is 213.


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