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25 Jan 2011, 06:51
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Difficulty:
25%
(medium)
Question Stats:
75% (01:49) correct
25%
(01:58)
wrong
based on 194
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Is 4m - 5n > m^2
(1) n < 0
(2) m is an integer between 0 and 4 inclusive
(1) n < 0
(2) m is an integer between 0 and 4 inclusive
25 Jan 2011, 07:01
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rxs0005
Is \(4m-5n>m^2\)? --> is \(m(4-m)>5n\)?
(1) n<0. Well this statement is clearly insufficient as we know nothing about \(m\), though from it we know that \(RHS=5n<0\) (RHS is negative).
(2) m is an integer between 0 and 4 inclusive. Insufficient because of the same reason: no info about \(n\), but again from this statement we know that the least value of \(LHS=m(4-m)\) is zero (when \(m=4\) or \(m=0\)) in all other cases \(LHS=m(4-m)>0\).
(1)+(2) \(LHS=m(4-m)\geq{0}\) and \(RHS<0\): \(m(4-m)>5n\). Sufficient.
Answer: C.
24 Dec 2017, 09:02
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Is 4m - 5n > m^2 ?
(1) n is negative.
(2) m is an integer between 0 and 4, inclusive.
The answer is C
Statement 1 is insufficient as we do not know antthing about m it can be negative and positive
Suppose n=-1
and m=0
then 5>0 true but when m = -2 we have for the same value of n
-8+5> -2^2
-3>4 false
So statement 1 is insufficient
Statement 2 is also insufficient as we do know anything about n
suppose m=1 and n=0
4>1 true
now let us say m=4 then
16>16 no true hence insufficient .
Taken together they they are sufficient as
4m-5n>m^2
Let n=-1
4m+5>m^2
m=0 true when m=1 it is true
(1) n is negative.
(2) m is an integer between 0 and 4, inclusive.
The answer is C
Statement 1 is insufficient as we do not know antthing about m it can be negative and positive
Suppose n=-1
and m=0
then 5>0 true but when m = -2 we have for the same value of n
-8+5> -2^2
-3>4 false
So statement 1 is insufficient
Statement 2 is also insufficient as we do know anything about n
suppose m=1 and n=0
4>1 true
now let us say m=4 then
16>16 no true hence insufficient .
Taken together they they are sufficient as
4m-5n>m^2
Let n=-1
4m+5>m^2
m=0 true when m=1 it is true
