GMAT Club Around The World!!! In the expression above, if a ≠ b, and a

Question

\frac{a^2 + b}{b-a}

In the expression above, if a ≠ b, and a is replaced with -b, the reciprocal of the resulting expression is equal to:

A.  \frac{1+b}{2}

B.  \frac{2}{1+b}

C.  \frac{1-b}{2}

D.  \frac{2}{1-b}

E.  \frac{2}{b-1}

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zhanbo · Answer

The answer is  (A) .

Replace a with (-b), and we get

(b^2 + b) / (b + b)
= (b + 1) / 2

Deepakjhamb · Answer

B. 2/1+b

answer is b ) 2/(1+b)

Harsh9676 · Answer

IMO B

We need to find the reciprocal of the resulting expression after replacing a with -b in the given expression.

>>>> 1/((b^2 + b) /b+b)

factoring out b, we get

>>1/(b(b+1)/2b)
>> 2b/b+1

ananya3 · Answer

IMO B

\frac{a^2+b}{b−a} 
 replace a with -b

\frac{b-a}{a^2+b }  = ??

=  \frac{b-(-b)}{(-b)^2+b }

=  \frac{b+b}{b(b+1)}

=  \frac{2}{b+1}

rocky620 · Answer

Replacing a with -b

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

New eq = ( b^2 +b)/2b = (b+1)/2

Reciprocal =  2/(b+1)

IMO Option B

Green2k1 · Answer

Correct Answer B

(a^2+b)/(b−a)

In the expression above, if a ≠ b, and a is replaced with -b, the reciprocal of the resulting expression is equal to:

(a^2+b)/(b−a)
a= -b
(b^2+b)/(b+b) =b(b+1)/2b

Reciprocal
=2/(b+1)

TarunKumar1234 · Answer

(a^2+b)/(b−a) replacing a with -b = (b^2 +b)/2b= (1+b)/2. Question is asking reciprocal, so, 2/(1+b) So, Ans. B.

manasi05 · Answer

(a^2 + b)/(b-a)
replace a with -b
(b^2 +b)/(b+b) = b(b+1)/2b = (b+1)/2
The reciprocal of the result will be 2/(1+b)

Correct answer will be B

MakSha · Answer

when a is replaced with -b, the reciprocal of expression:

^(-1)

=2/(b+1)

IMO option B is the answer .

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GMAT Club Around The World!!! In the expression above, if a ≠ b, and a

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