Latest TCS Aptitude Question SOLUTION: what is the largest for n for which 3^n divides 44^44

• Placement Papers
• /
• TCS

TCS Question Papers: TCS Interview Experience(91) TCS Company Profile

(#M40024627) TCS question Keep an EYE

what is the largest for n for which 3^n divides 44^44

Asked In TCS vignesh (11 years ago)

Unsolved Read Solution (5)

Is this Puzzle helpful?   (1)   (0) Submit Your Solution

Read Solution (5) :

Kundan Kumar  (11 years ago)

0
as prime factorisation of 44 does not contain any 3

Is this solution Helpfull? Yes (18) | No (2)  

Shashi Kumar Gupta  (11 years ago)

answer is 0
44 =2*2*11 and 3 are co-prime number.... so max valuw of n will be 0

Is this solution Helpfull? Yes (3) | No (1)  

neetu yadav  (11 years ago)

0 coz no factor in common

Is this solution Helpfull? Yes | No (2)  

NAVYA  (11 years ago)

i think the quen is wrong. quen should be
"what is the largest for n for 16^n divides 44^44"
(44^44) means 44*44*44..like that is 2power4*(11power 22)
(((44*44=(2*22)(2*22)
=(2power4(11power22) )))
16^n is (2power4)^n
finally
(44^n)/(16^n)=[(2 power 4)*(11 power 22)]/(2power4)^n]
so the n value should be 22.

Is this solution Helpfull? Yes | No (2)  

Guru Pranav  (11 years ago)

wrong question in place of 3 there should be 2^3n.

3n= 88
n=29 Ans.

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.