CAT
Exam
Numerical Ability
how many zeros will be there at the end of the expression [((2!)^2!)+((4!)^4!)+((8!)^8!)+((9!)^9!)+((10!)^10!)+((11!)^11!) ?
Read Solution (Total 3)
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- There will be no zero at the end of the expression because adding (2!)^2! (=4)to the remaining expression will give 4 at the ones place.
- 9 years agoHelpfull: Yes(3) No(0)
- from the given problem we get, 2! * 4! * 8! * 9! * 10! * 11!
2! to 4! will have no zeros.
8/5=1
9/5=1
10/5=2
11/5=2
So total of 8 zeros. - 9 years agoHelpfull: Yes(0) No(0)
- 2!^2!------>4 as unit digit
4!^4!------->1 as unit digit
all others will have 0 as unit digit
so combining them 4+1+0+0+.....wil give 5 as unit digit
hence the answer is zero number of zeroes - 8 years agoHelpfull: Yes(0) No(0)
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