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Bunuel
Is 4m - 5n > m^2 ?

(1) n is negative.
(2) m is an integer between 0 and 4, inclusive.

We'll solve this with a Logical approach using equation properties.
This often works for Data Sufficiency question involving simple inequalities.

(1) We have no information on m so cannot solve.
Insufficient.

(2) Now we have no information about n so cannot solve.
Insufficient.

We know through (1) that -5n is positive so we need to find out the relation between 4m and m^2.
There are 5 possible values of m, giving
m = 0: 4m = m^2
m = 1: 4m > m^2
m = 2: 4m > m^2
m = 3: 4m > m^2
m = 4: 4m = m^2
In all cases we're adding a positive number (-5n) to the left hand side so we're making it larger than it was before.
Therefore 4m - 5n > m^2 and (C) is our answer.
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Is 4m - 5n > m^2
Is 4m - m^2 > 5n?

(1) n < 0

No information on m. However, we can conclude 5n is negative. Insufficient.

(2) m is an integer between 0 and 4 inclusive

No information on n. Insufficient.

(1&2) Is 4m - m^2 > 5n?
Is 4m - m^2 > negative number?
Any value of m (between 0 and 4 inclusive) > negative number.

Sufficient.

Answer is C.
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