Q.
The number 24 ! is divisible by
see full answer
Start JEE / NEET / Foundation preparation at rupees 99/day !!
21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya
a
624
b
246
c
1212
d
485
answer is B.
(Unlock A.I Detailed Solution for FREE)
Ready to Test Your Skills?
Check your Performance Today with our Free Mock Test used by Toppers!
Take Free Test
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
Watch 3-min video & get full concept clarity