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Find the last non zero digit of 96!.
a) 2 b) 4 c) 6 d) 8
Read Solution (Total 11)
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- it will be 6.
==4*z(96/5)*z(6)
=4*z(19)*8
=8*(4*z(19/5)*z(9))
=8*(4*z(3)*8)
=8*(4*6*8)
=1536
here we consider the unit digit of the result - 12 years agoHelpfull: Yes(8) No(6)
- 2 is the right answer
see this
http://www.pagalguy.com/news/ive-got-power-working-with-factorials-cat-2011-quant-a-17445 - 12 years agoHelpfull: Yes(7) No(4)
- ans is 4, coz after 4! every factorial value ends in 0. eg 5! is 120, 6! is 720, 7! is 5040.. likewise upto n factorial value ends only in 0, the last factorial which has non zero digit is 4! tat is 24. so 4 is the answer..
- 12 years agoHelpfull: Yes(3) No(4)
- 4 is the answer
- 12 years agoHelpfull: Yes(2) No(1)
- 8 i think ans
- 12 years agoHelpfull: Yes(1) No(3)
- @udit: plz solve the question using the method specified in the link. i m gettng the answer as 6
- 12 years agoHelpfull: Yes(1) No(2)
- it will be 6.
==4*z(96/5)*z(6)
=4*z(19)*8
=8*(4*z(19/5)*z(9))
=8*(4*z(3)*8)
=8*(4*6*8)
=1536 - 12 years agoHelpfull: Yes(0) No(5)
- @udit: but in this link how did we get 8 in the first example of 37!
- 12 years agoHelpfull: Yes(0) No(1)
- n=96 n=5a+b 5*19+1
a=19,b=1
last digit of [2+a x r(a!) * r(b!)]
- 12 years agoHelpfull: Yes(0) No(0)
- the answer should be 8
96!= 5(19)+1
where a=19 and b=1
so by using : last digit of (2a * R(a!) * R(b!))
therefore, (219*R(19!)*R(1!)) = 219*2*1= 8
where R(19!) has the last non zero digit 2, it can b calculated by the same formula. - 12 years agoHelpfull: Yes(0) No(0)
- answer is 6
- 9 years agoHelpfull: Yes(0) No(0)
TCS Other Question
1,2,2,3,3,3,4,4,4,4,1,1,2,2,2,3,3,3,3,4,4,4,4,4..........................what would be 2320th element of this series??
What is the remainder when 100!/97^2.