Is m/(n^2+1) n/(m^2+2)? (1) m = n (2) n

Question

Is  \frac{m}{n^2+1} > \frac{n}{m^2+2} ?

(1)  m = n 
(2)  n < 0

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satya2029 · Answer

From 1
m=n=0
0>0 NO
m=n=1
1/2>1/3 YES
From 2
n<0
no information about m
FROM 1 AND 2
m=n=-1 NO
m=n=-1/2 YES
E:)

avirup2018 · Answer

Why are u assuming m when nothing is said about m only thing is said is about n<0....

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avirup2018 · Answer

Not satisfactory for B if we use N<0 then one part simply becomes negative....no point in assuming m

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satya2029 · Answer

Just to observe each and every case. In this way you actually test statement 1 within statement 2.

aalalal · Answer

I think together it makes sense, say n=-1=m, then always, first half < second half. Sufficient to answer the questions.

shiva1325 · Answer

first consider statement 1 alone:
given m=n
if we substitute we get
m/(m^2+1)>m/(m^2+2)
we can observe that denominator of LHS is lesser than denominator of RHS
but we dont know whether m>0 or m<0
so there is no unique answer.

Now consider statement 2 alone:
given n<0
here we do not have definite relationship between m,n
and also we no nothing about m
hence no unique answer.

Now consider both statements together:
m=n and n<0 implies m<0
substituting we get
m/(m^2+1)>m/(m^2+2)
since we know that m<0
we get unique answer

hence answer is C

bumpbot · Answer

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Is m/(n^2+1) > n/(m^2+2)? (1) m = n (2) n < 0

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