TCS
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Numerical Ability
Arithmetic
find the last 3 digit of 443^443.
Read Solution (Total 13)
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- ans:307
power is 443
=>443/4 rem=3
so,443^3=86938307
last 3 digit=307
- 10 years agoHelpfull: Yes(12) No(1)
- why u guys devide by 4. Please explain.
- 10 years agoHelpfull: Yes(12) No(2)
- We devide by 4 because after every 4th power the last digits repeat
I.e., 443^1last digit 3
443^2 last digit 9
443^3 last digit 7 then 1 and after power 4 i.e, from power 5 the last digit repeats I.e., again 3 9 7 1 like that hence dividing by 4 is done mainly to find the last digit - 10 years agoHelpfull: Yes(7) No(0)
- like this:
ans:307
power is 443
=>443/4 rem=3
so,443^3=86938307
last 3 digit=307. - 10 years agoHelpfull: Yes(4) No(1)
- Why did u divide 443 by 4. Plz explain.....
- 10 years agoHelpfull: Yes(2) No(0)
- ans is 307
- 10 years agoHelpfull: Yes(1) No(0)
- answer itself is 443
- 10 years agoHelpfull: Yes(0) No(5)
- power:443
443/4=remainder:3
take:443^3
ans:370 - 10 years agoHelpfull: Yes(0) No(1)
- karan can you explain the ans
- 10 years agoHelpfull: Yes(0) No(1)
- please explain clearly
- 10 years agoHelpfull: Yes(0) No(0)
- 173 as alays it ends up wid that
- 10 years agoHelpfull: Yes(0) No(0)
- Karan why u have not consider 443^(4*11) last three digits ???
- 10 years agoHelpfull: Yes(0) No(0)
- as the cyclicity of 3 is 4....arnab..
- 10 years agoHelpfull: Yes(0) No(0)
TCS Other Question
If ab-a-b=265
bc-b-c=155
ac-c-a=150
then find a+b+c
On this island, there are three types of people. Knights, who always tell the truth, knaves, who always lie, and spies, who can do either. In these puzzles, you meet three people, one knight, one knave and one spy. The challenge is to determine who is who.
A says "I am a Knight"
B says "A is a Knight"
C says "If you asked me, I would say that A is the spy"
who is a??