Latest TCS Aptitude Question SOLUTION: There are 6561 cricket balls out of them 1 is heavy. Find the minimum no. of times the cricket balls have to be weighed for finding out the heavy ball. A. 8 B. 5 C.7 D.9

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There are 6561 cricket balls out of them 1 is heavy. Find the minimum no. of times the cricket balls have to be weighed for finding out the heavy ball.
A. 8 B. 5 C.7 D.9

Asked In TCS bhojraj dhakate (10 years ago)

Unsolved Read Solution (18)

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Read Solution (18) :

somi  (10 years ago)

6561 if u notice is 3^8...n can be divided by 3(prime factor) only...we keep on dividing it into sets of 3 and in 1 weighing itself you can determine which set is heavy. Divide that set into further 3 lots...keep doing that..
6561
2187 2187 2187 1st weighing
729 729 729
243 243 243
81 81 81
27 27 27
9 9 9
3 3 3
1 1 1
ANswer is 8 attempts

Is this solution Helpfull? Yes (40) | No   

iqbal siddiqui  (10 years ago)

sir ,
a lot of solution is there out of them which is correct.

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

kundan karn   (10 years ago)

6561 if u notice is 3^8...n can be divided by 3(prime factor) only...we keep on dividing it into sets of 3 and in 1 weighing itself you can determine which set is heavy. Divide that set into further 3 lots...keep doing that..
6561
2187 2187 2187 1st weighing
729 729 729
243 243 243
81 81 81
27 27 27
9 9 9
3 3 3
1 1 1
ANswer is 8 attempts

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

nitin  (10 years ago)

divide in 3 groups 6561/3=2187...we need only 1 comparison in 3 groups to find the heaviest group.
and now again divide this heavey group of 2187 into 3 pices...i.e 2187/3=729..similarly here also u need 1 comparision
.
.
.so now dividing again and again by 3...there ther will be total 7 comparision...in last comparision there will remain only 3 balls.

ANS=7

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

Abhishek nkumar  (10 years ago)

ans: 8.
(3^8 = 6561 )

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

Aksshara  (10 years ago)

ans is 9 as 6561 is only divisible by 9

Is this solution Helpfull? Yes (1) | No (2)  

Abhishek nkumar  (10 years ago)

6561=3^8
ans. 8

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

Raghav gupta  (10 years ago)

answer is definitely 9 in such kinda ques always find 3^n and then answer is n+1 as for 1 3^0 also be used

Is this solution Helpfull? Yes (1) | No (2)  

Harsh Ranjangaonkar  (10 years ago)

Answer is 5
6561 can also be divided in 9 groups of 729. weighing the 9 groups will give us the heaviest group. again divide 729 in 9 groups of 81 each and so on.
6561
729
81
9
1
thus it is 5 times.

Is this solution Helpfull? Yes (1) | No (2)  

virendra tiwari  (10 years ago)

if 3^3=9 devide 3 3 3 wait one time
then 1 1 1,second time so besicaly total power -1,, h
here 3^8.
ans 8-1=7

Is this solution Helpfull? Yes | No (2)  

tanmay dhyani  (10 years ago)

the answer is 9,because the weight of all the balls is not known,so we will have to check the weight of the whole set first and then carry on ,diving by 3.

Is this solution Helpfull? Yes | No (2)  

Kolluru Nagalakshmi  (10 years ago)

out of this many answers which one right,please give one exact answer

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gautam gaurav  (10 years ago)

this question is from gate paper..........answer will be 2

Is this solution Helpfull? Yes | No (3)  

Debashreeta Nayak  (10 years ago)

i cant get the solution.plz any1 can explain it.

Is this solution Helpfull? Yes | No (2)  

Prasanth Karthick  (10 years ago)

eww .. i could n find , which one is correct 7 or 8 ?

Is this solution Helpfull? Yes | No (2)  

Jayjit Mandal  (10 years ago)

@SOMI... is it always to divide with least prime number.??? we can divide 6561 by 3 as well as 9. If 3 No doubt ans is 8 but 9 then ans is 5 .So please explain ur ans ... !!

Is this solution Helpfull? Yes | No (1)  

Anupam Kundu  (10 years ago)

8
is the ans

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Bipul  (10 years ago)

8 is the correct answer

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