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Questions  

The number 24 ! is divisible by

a
624
b
246
c
1212
d
485

detailed solution

Correct option is B

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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