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Question

Find the smallest number which, when increased by 1 is exactly divisible by 12, 18, 24, 32, and 40.

A
1427
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B
1536
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C
1439
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D
2412
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Solution

The correct option is C 1439

Let us find out the L.C.M. of 12, 18, 24, 32, and 40

L.C.M.
= 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 = 1440

1440 = 1439 + 1

Hence, 1439 is the smallest number which, when increased by one is exactly divisible by the given numbers.


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