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Re: How to find last two digits of a number
by Rhythm Goyal - Tuesday, 7 August 2012, 06:28 PM
 

For: last two digits of 14^14^14??
Where am i going wrong?

-> 14^14^14 = 14^(2*7)^14

consider (2*7)^14 => 2^14 * 7^14

=> 2^10 * 2^4 * (7^4)^3 * 7^2

=> __24 * 16 * __01^3 * 49

=> __16

Therefore 14^14^14 => 14^__16

=> 2^__16 * 7^__16

=> (2^10)^odd no * 2^6 * (7^4)^4k

=> __76 * 64 * (__01)^4k

=> 64

 

why am i getting 64? Is it correct?

Re: How to find last two digits of a number
by TG Team - Tuesday, 7 August 2012, 09:19 PM
 

Hi Rhythm Goyal smile

Everything was fine except second-last step where it should be 24 in place of 76 and the answer will be 36. smile

Re: How to find last two digits of a number
by Rhythm Goyal - Wednesday, 8 August 2012, 06:06 PM
 

Oh... Thats so stupid of me... I have verified my calcluations thrice before posting. Still got same wrong answer all the 3 times.

Thanks a lot Sir. I may now not comitt such in CAT.

Sir, I need to discuss regarding Regular batch / CBT. Where can we discuss?