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Q.

The number 24 ! is divisible by

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a

624

b

246

c

1212

d

485

answer is B.

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Detailed Solution

We have, E2(24!)=242+2422+2423+2424=12+6+3+1=22 and E3(24!)=243+2432=8+2=10∴ 24!=222×310=27×310×2 =23×37×33×2=(24)7×33×2Clearly, 24 ! is divisible by 246

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The number 24 ! is divisible by