Latest TCS Aptitude Question SOLUTION: 222^222,when divided by 7 what is the remainder?

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(#M40012494) TCS question Keep an EYE

222^222,when divided by 7 what is the remainder?

Asked In TCS manisha (11 years ago)

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Atif Pall  (11 years ago)

Sorry...its 1

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Arijit Mandal  (11 years ago)

ans is 4
because after dividing we got 4/7
so remainder is 4

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lala  (11 years ago)

222^222 mod 7

(31*7+5)^222 mod 7

5^222 mod 7

(25)^111 mod 7


(7*3+4)^111 mod 7

(4)^111 mod 7

(16)^55.(4)^1 mod 7

(7*2+2)^55.4 mod 7

(2)^55.4 mod 7

(8)^18.8 mod 7

(7+1)^18.8 m0d 7

(1)^18.8 mod 7

1*8 mod 7=1

1 (ans)

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Atif Pall  (11 years ago)

Remainder is zero

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Sadik Khan  (11 years ago)

ans is definitely
222^222=(2x111)^222
=2^222x111^222
=(2^10)^22x2^2x(111)^222=(1024)^22x4x(111)^222,,,,
unit digit in first term is 6 and 4 in second term and 1 in last term,,,,
this means unit digit in the number= 6x4x1=24,,,,24/7 leaves a remainder 1 and hence answer is 1

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garima mishra  (11 years ago)

ans is 1
wid the help of remainder theorum

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Tanmay Singh  (11 years ago)

remainder is 1

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Sadik Khan  (11 years ago)

answer is definitely 3
222^222=(2x111)^222
=2^222x111^222
=(2^10)^22x2^2x(111)^222=(1024)^22x4x(111)^222,,,,
unit digit in first term is i.e. (2^10)^22 is 6 and 4 in second term i.e. (2^2) and 1 in last term,,,,
this means unit digit in the number= 6x4x1=24,,,,24/7 leaves a remainder 3 and hence answer is 3

Is this solution Helpfull? Yes (4) | No (1)  

Prakash agrawal  (11 years ago)

ans will be one

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seraj (NIET)  (11 years ago)

4 is ansawer

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vivek garg  (11 years ago)

i think ans is 2

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abhishek  (11 years ago)

http://dadyjee.wordpress.com/ GO THERE U LL FIND SOME QUESTIONS ALSO..

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Arijit Mandal  (11 years ago)

srry it will be 1

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ashish kumar  (11 years ago)

last two digit is 44, thus remainder will be 2

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prachitrivedi  (11 years ago)

ans is 4 bcoz 2^2/7=4/7=remainder=4

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gautam kumar sharma  (11 years ago)

1 is the ans by polynomial or reminder theorm

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