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BODMAS

Find the leas...

Question

Find the least number which when divided by 3, 15 and 25 leaves a remainder of 2 in each case.

A

77

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B

75

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C

65

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D

69

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Solution

The correct option is A 77
$3 = 3 \times 1$
$15 = 3 \times 5$
$25 = 5 \times 5$

L.C.M. of 3, 15, 25 = $3 \times 5 \times 5$ = 75

Least number which when divided by 3, 15 and 25 leaves a remainder of 2 in each case = 75 + 2 = 77

So, option 'a' is correct.

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