Latest TCS Aptitude Question SOLUTION: find highest power of 2 in 1!+2!+3!+4!...........+600!

• Placement Papers
• /
• TCS
• /
• Numerical Ability
• /
• Profit and Loss

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

(#M40038589) TCS Numerical Ability question Keep an EYE

find highest power of 2 in 1!+2!+3!+4!...........+600!

Asked In TCS SHUBHAM SONI (10 years ago)

Solved RAKESH Read Solution (9)

Is this Puzzle helpful?   (29)   (5) Submit Your Solution Profit and Loss

Read Solution (9) :

RAKESH  (10 years ago)

ans: zer0

unit digit of
1!+2!+3!+4!...........+600! is odd i.e
the given sum gives an odd no. so, there is no factor of 2.

highest power of 2 = 2^0

Is this solution Helpfull? Yes (52) | No (6)  

sunil kumar  (10 years ago)

ansr is 0.
since every factorial from 2! onwards upto 600! is even and we sum it such that:2!+3!+.......600!=even
now this even+1!=odd (since 1! is odd)
and so odd number has no power of 2 ,hence answer is 0.

Is this solution Helpfull? Yes (39) | No   

rameshnaidu  (10 years ago)

2!=2,3!=6;4!=24;5!=120;6!=120......600! also even number
even+even=even
so 1!=1
add 1 to all the sum it is odd:: so, there is no factor of 2
highest power of 2=0;

Is this solution Helpfull? Yes (13) | No   

SUMANTA SAMANTA  (10 years ago)

Here , sum of 2!+3!+...+600! = 4+6+...+600! = It will give a even no .
But if I add 1! with this then it Will be an odd number.

( 1! ) + (2!+3!+...+600! ) = even + odd = odd .

And also we know that odd no does not contain any 2 .
As we know ( number % 2 == 0)
{
even no ;
}
else
{
odd no;
}
So the sum of 1!+2!+3!+...+600! does not contain any 2 .
So it will be 2^0 .

Is this solution Helpfull? Yes (4) | No   

shafiur rahman  (10 years ago)

from 5! onwards last digit will be 0. Therefore we need to check the last digit of 1!+2!+3!+4!=33. Which is odd
Therefore ans is 0

Is this solution Helpfull? Yes (2) | No   

dhiviya  (10 years ago)

how u r saying that s odd?
i cant get u..plz explain.

Is this solution Helpfull? Yes (1) | No   

Kavishanmugam  (10 years ago)

0 ans
no power of 2
so zero

Is this solution Helpfull? Yes | No   

Saptarsi Sinha  (10 years ago)

2^300..highest power of 2 is 300

Is this solution Helpfull? Yes | No (1)  

sandeep kumar  (10 years ago)

ANS IS 0
UNIT DIGITS SUM IS ODD SO 2^0=0

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.