TCS
Company
Numerical Ability
Number System
last two digit of (123)^123!..explain
Read Solution (Total 8)
-
- ans: 01
this is in the form 123^(x000000...)
=> 123^4*y000..
=>z1^y00000..
=>01.(because tens place=last digit of product of tens place from base and units
place from power) - 11 years agoHelpfull: Yes(17) No(1)
- 123! will end with more than two 0s.Hence it is divisible by 4.123!=4*x+0
123^123!= 123^4 for last two digits divide 123 with 100==> 23^4=279841
last two digits=41 - 11 years agoHelpfull: Yes(10) No(7)
- 123^123 or 123^123!.
- 11 years agoHelpfull: Yes(3) No(9)
- When the bases are same the powers will be added.. Now the question reduces to .
123^7626( i.e. 1+2+3+.....123)
Now find the last two digit by dividing it with 100(using remainder theorem)
Most probably the answer will be 44 - 11 years agoHelpfull: Yes(2) No(6)
- for last two digits 01.
- 11 years agoHelpfull: Yes(1) No(0)
- answer is 27
- 10 years agoHelpfull: Yes(1) No(1)
- zero huh?
coz 123 doesnt contain any zeroes ?
- 11 years agoHelpfull: Yes(0) No(6)
- 00 bcz 123! will contain some zeroes..and hence
- 11 years agoHelpfull: Yes(0) No(1)
TCS Other Question
Set A {1,3,10,17,19}, B{9,12,15,18,21} and set C{4,7,10,13,16,19} probability of "a num from A + a num from B > a num from C". (not sure about numbers)
if 44^44 is divided by 8^n then what the max value of n can be?