Latest TCS Aptitude Question SOLUTION: (1-1/3^2)(1-1/4^2).....(1-1/2015^2)=x/2015 then x=?

• Placement Papers
• /
• TCS
• /
• Numerical Ability
• /
• Algebra

TCS Question Papers: TCS Interview Experience(90) TCS Company Profile

(#M40154939) TCS Numerical Ability question aptitude Keep an EYE

(1-1/3^2)(1-1/4^2).....(1-1/2015^2)=x/2015 then x=?

Asked In TCS Dileepreddy (8 years ago)

Unsolved Read Solution (7)

Is this Puzzle helpful?   (3)   (3) Submit Your Solution Algebra

Read Solution (7) :

Abhishek nkumar  (8 years ago)

hey a/c given: (1-1/3^2)(1-1/4^2).....(1-1/2015^2)
use a^2-b^2 = (a-b)*(a+b);
applying above we get series as;
(1+1/3)*(1-1/3)*(1+1/4)*(1-1/4).....................(1+1/2015)*(1-1/2015)
= 4/3*2/3*5/4*3/4*6/5*4/5*7/6*..............2016/2015*2014/2015
= 2/3 * 2016/2015
=> 1344/2015 = x/2055;
hence x = 1344. i hope it is easy to understand

Is this solution Helpfull? Yes (23) | No   

Abhishek nkumar  (8 years ago)

here it is somehow tricky question..
answer for this question is = 1344/2015 ;
hence x 1344

Is this solution Helpfull? Yes (3) | No   

Amit Bansal  (8 years ago)

I solved this one...i think answer would 4032/2015....

above equation can be written as
(2.4/3^2)(3.5/4^2)(4.6/5^2)...........(2014.2016/2015^2)
=> (2.2016)/2015
=>4032/2015.
I dont remember the options bcoz when i was about to solve this one, it was already time out.

Is this solution Helpfull? Yes (2) | No (5)  

anku  (8 years ago)

x=2014??was dere any option of such sort..

Is this solution Helpfull? Yes | No (1)  

priyadharshini  (8 years ago)

@Abhishek nkumar can u plz explain in detail..!

Is this solution Helpfull? Yes | No   

anku  (8 years ago)

can sum1 tell d options???

Is this solution Helpfull? Yes | No   

Amit Bansal  (8 years ago)

I solved this one...i think answer would 4032/2015....

above equation can be written as
(2.4/3^2)(3.5/4^2)(4.6/5^2)...........(2014.2016/2015^2)

Is this solution Helpfull? Yes | No (1)  

Please Login to Read Solution.