Latest TCS Aptitude Question SOLUTION: (40*40*40 - 31*31*31)/(40*40+40*31+31*31)=? option a) 8 b) 9 c) 71 d) 51

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(#M40021517) TCS Logical Reasoning question Keep an EYE

(40*40*40 - 31*31*31)/(40*40+40*31+31*31)=?
option
a) 8
b) 9
c) 71
d) 51

Asked In TCS sawan singh bora (10 years ago)

Unsolved Read Solution (12)

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Read Solution (12) :

Rahul Kumar Mehta  (10 years ago)

This question is based on this....

(a^3 - b^3)/(a^2 + ab + b^2) where a=40 and b=31

a^3 - b^3 = (a-b)(a^2 + b^2 + ab)

so we get (a-b)(a^2 + b^2 + ab)/(a^2 + b^2 + ab) where a=40 and b=31

now finally we get (a-b) so (40 - 31)= 9

therefore option (b) will be the answer

Is this solution Helpfull? Yes (27) | No   

kapil dev kumar  (10 years ago)

let a=40 and b=31 now we get (a^3)-(b^3)/(a^2+a*b+b^2)=a-b.
so answer is 40-31=9

Is this solution Helpfull? Yes (2) | No   

sindhura  (10 years ago)

Ans:c
sol: (a3+b3)/(a2+ab+b2)
=(a2+b2+ab)(a+b)/(a2+b2+ab)
= a+b
=40+31
=71

Is this solution Helpfull? Yes (1) | No (6)  

akshay lahoty  (10 years ago)

let a =40
b=31
then
(a^3-b^3)/(a^2+ab+b^2)
(a-b)(a^2+b^2+ab)/(a^2+ab+b^2)= a-b
40 - 31
9

Is this solution Helpfull? Yes (1) | No   

Rahul Kumar Mehta  (10 years ago)

@SINDHURA

bt still u are wrong because formula of

a^3 + b^3 = (a + b)/(a^2 + b^2 -ab) bt u hav written (a + b)/(a^2 + b^2 + ab)

:)

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

Rahul Kumar Mehta  (10 years ago)

sorry...

a^3 + b^3 = (a +b)*(a^2 + b^2 -ab)

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

DIPAK KUMAR BHAGAT  (10 years ago)

ans:b)9
let a=40 & b=31
now, (a^3-b^3)/(a^2+b^2+ab)
={(a-b)*(a^2+b^2+ab)}/(a^2+b^2+ab)
=(a-b)
=9

Is this solution Helpfull? Yes | No (1)  

sindhura  (10 years ago)

oh there is minus over there .......

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priyatanu  (10 years ago)

9...
apply a^3-b^3 formula

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Atanu Mondal  (10 years ago)

(40^3)-(31^3)=(40-31)(40^2+40*31+31^2)
so ans is 9

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Megha Bisht  (10 years ago)

we will use a^3 - b^3
therefore:
the numerical can be written as 40^3 - 31^3 = (40-31)*(40^2 + 40*31 + 31^2)/(40^2 + 40*31 + 31^2)
hence 40-31 = 9

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kratik singh thakur  (10 years ago)

APPLY BODMAS
ANS IS 9

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