TCS
Company
Here a^b means a raised to the power of b.find the highest possible value of n such that 8^n is exactly divisible by 44^44
1)44
2)29
Read Solution (Total 6)
-
- 44^44=(2*2*11)^44=(2^2*11)^44=2^88 * 11^44
now 8^n can be written as 2^3n
88=3n
n=29 hence 29 is the ans - 11 years agoHelpfull: Yes(15) No(5)
- 29 is the ans...
- 11 years agoHelpfull: Yes(9) No(1)
- 44^44,take last digit first 4 and calculate for 4^44 =the last digit of the answer will be 6.
8^n,the power cycles of 8 are 8,4,2,6 .now consider options 44 divide this by 4,because power cycle for 8 is 4, 44/4 =0 is the remainder .so 8^44 gives 6 as the last digit.
8^44 is exactly divisible by 44^44.ans 44 - 11 years agoHelpfull: Yes(5) No(3)
- ques must b find value of n such that 44^n z xactly divisible by 8^n
- 11 years agoHelpfull: Yes(2) No(1)
- Can u plz explain hw did u got the solution
- 11 years agoHelpfull: Yes(0) No(1)
- yeah 29 but not exactly !!!
- 11 years agoHelpfull: Yes(0) No(0)
TCS Other Question