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Integers - DS

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Source: — Data Sufficiency |
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by rijul007 » Wed Nov 16, 2011 10:41 am
m = -p + (-2)^p

Statement 1
p is even

if p is even and greater than 0
(-2)^p > p
therefore, m>0 and even

hence, m^3>1
Sufficient

Statement 2
p^3 <= -1
lets say p=-1
m = 1 -(1/2) = 1/2
(1/2)^3 < 1

p = -2
m = 2 + 1/4 = 9/4
(9/4)^3 > 1

Insufficient

Option A

Whats OA?
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by user123321 » Wed Nov 16, 2011 12:35 pm
shankar.ashwin wrote:If p is an integer and m = -p + (-2)^p, is m^3 > 1

1) p is even
2) p^3 < -1


OA - C
1) if p = 0 then m^3>1 is false
if p = 2 then m^3>1 is true
hence insufficient.

2) if p = -1 then m^3>1 false
if p = -2 then m^3>1 true
hence insufficient.

if both are used then
p should -ve even number
=> p = -2 m^3>1 is true
=> p = -4 m^3>1 is true
so it will be true as the value decreases further. hence sufficient.

IMO C
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