Latest TCS Aptitude Question SOLUTION: what is the value of 77!*(77!-2*54!)^3/(77!+54!)^3+54!*(2*77!-54!)^3/(77!+54!)^3

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what is the value of 77!*(77!-2*54!)^3/(77!+54!)^3+54!*(2*77!-54!)^3/(77!+54!)^3

Asked In TCS prathyusha (9 years ago)

Unsolved Read Solution (17)

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Read Solution (17) :

sai  (9 years ago)

77!-54!
take 77!=a, 54!=b then we get in simple (a-2b)^3/a+b solve it u get a-b as answer

Is this solution Helpfull? Yes (13) | No (3)  

prasad gaikwad  (8 years ago)

The above question can be written as 77!(77!−2∗54!)3(77!+54!)3+ 54!(2∗77!−54!)3(77!+54!)3
Let A = 77!, B = 54!
Then equation in the form
a(a−2b)3(a+b)3+b(2a−b)3(a+b)3
a(a−2b)3 = a(a3−6a2b+12ab2−8b3) = a4−6a3b+12a2b2−8ab3
b(2a−b)3 = b(8a3−12a2b+6ab2−b3) = 8a3b−12a2b2+6ab3−b4
Grouping similar terms, a4−6a3b+12a2b2−8ab3 + 8a3b−12a2b2+6ab3−b4
= a4−b4+(−6a3b+8a3b) + (12a2b2−12a2b2) + (−8ab3+6ab3)
= a4−b4+2a3b−2ab3
= (a2−b2)(a2+b2)+2ab(a2−b2)
= (a2−b2)[(a2+b2)+2ab]
= (a2−b2)(a+b)2
= (a−b)(a+b)(a+b)2
= (a−b)(a+b)3
Therefore, a(a−2b)3(a+b)3+b(2a−b)3(a+b)3 = (a−b)(a+b)3(a+b)3=a−b

Is this solution Helpfull? Yes (12) | No (1)  

Narasapu Hari prasad  (9 years ago)

Ans is 77!-54!
Let A=77! , B=54!.
Then equation in the form
a(a-2b)^3/(a+b)^3+b(2a-b)^3/(a+b)^3.
Solve this and you will get (a-b)

Is this solution Helpfull? Yes (11) | No (1)  

babu shaik  (9 years ago)

let a=77!
b=54!
from above
a*(a-2b)^3/(a+b)^3 +b*(2a-b)^3/(a+b)^3
by solving them by using (a-b)^3 =a^3-b^3-3a^2b+3ab^2
finally we get answer as (a-b)

therefore the answer is (77!-54!)

Is this solution Helpfull? Yes (4) | No   

Ritika Jain  (9 years ago)

Ans: 77!-54!

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

amit  (8 years ago)

assume a=77!& b=54!
according to the expression
(a(a-2b)^3)/(a+b)^3 + (b(2a-b)^3)/(a+b)^3)
=(a^4+2*a^3*b -2*a*b^3-b^4)/(a+b)^3
= (a-b)*(a+b)^3/(a+b)^3
= (a-b)
= (77!-54!)

Is this solution Helpfull? Yes (3) | No   

Mainak  (9 years ago)

can u solve it properly..plz explain

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

abhisek banerjee  (9 years ago)

Please explain how to solve

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

Iamature  (9 years ago)

can someone ans step by step?

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priya  (9 years ago)

plz explain it step by step

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Parijat Ghosh  (9 years ago)

a=77! b=54! (let)
answer = a-b
i.e. 77!-54!

Is this solution Helpfull? Yes | No (1)  

Alpesh Patel  (9 years ago)

Can anyone plz tell me..how a-b in coming from the equation?

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Alamelu Priyadharshini  (8 years ago)

let a=77!
b=54!
from above
a*(a-2b)^3/(a+b)^3 +b*(2a-b)^3/(a+b)^3
by solving them by using (a-b)^3 =a^3-b^3-3a^2b+3ab^2
finally we get answer as (a-b)

Is this solution Helpfull? Yes | No   

Alamelu Priyadharshini  (8 years ago)

let a=77!
b=54!
from above
a*(a-2b)^3/(a+b)^3 +b*(2a-b)^3/(a+b)^3
by solving them by using (a-b)^3 =a^3-b^3-3a^2b+3ab^2
finally we get answer as (a-b)

Is this solution Helpfull? Yes | No (1)  

JUHI MITTAL  (7 years ago)

we hve to take b=54 or -54..? n plzz explain how ..

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Sujitha  (7 years ago)

please explain clearly..

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SNEHA  (6 years ago)

ans: 77!-54! is correct.

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