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Question

The largest integer that divides product of any four consecutive integers is


A
4
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B
6
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C
12
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D
24
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Solution

The correct option is A $$24$$
Consider $$1\times 2\times 3\times 4 = 24$$
$$2\times 3\times 4\times 5 = 120$$
$$3\times 4\times 5\times 6 = 360$$
All are divisible by $$24$$ which is the largest number given in options.

Mathematics

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