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Question

Find the smallest number which when divided by 23, 45, 5, 27 and 48 leaves a remainder 7.


A

49687

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B

49677

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C

98607

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D

68787

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Solution

The correct option is A

49687


The LCM of the given numbers is 49680 which means when this number divided by the given numbers will give a remainder zero. So in order to get number which leaves a remainder of 7 when divided by 23, 45, 5, 27, 48 we have to add 7 to 49680. The number which is required is 49687.


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