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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


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

For remainder 3 we have to add 3 to the LCM = 210 + 3

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


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