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# If x is a negative integer, which of the following expressions has the

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Senior Manager
Joined: 11 Nov 2014
Posts: 334
Location: India
WE: Project Management (Telecommunications)
If x is a negative integer, which of the following expressions has the  [#permalink]

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Updated on: 26 Jan 2016, 08:00
00:00

Difficulty:

5% (low)

Question Stats:

91% (00:33) correct 9% (01:05) wrong based on 87 sessions

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If x is a negative integer, which of the following expressions has the LEAST value?

A $$x^{2} - 0.50$$
B $$x^{2} - 0.51$$
C $$x^{3} - 0.502$$
D $$x^{3} - 0.511$$
E $$x^{4} - 0.512$$

Originally posted by paidlukkha on 26 Jan 2016, 07:57.
Last edited by Bunuel on 26 Jan 2016, 08:00, edited 1 time in total.
RENAMED THE TOPIC.
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Joined: 02 Aug 2009
Posts: 7100
Re: If x is a negative integer, which of the following expressions has the  [#permalink]

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26 Jan 2016, 08:04
paidlukkha wrote:
If x is a negative integer, which of the following expressions has the LEAST value?

A $$x^{2} - 0.50$$
B $$x^{2} - 0.51$$
C $$x^{3} - 0.502$$
D $$x^{3} - 0.511$$
E $$x^{4} - 0.512$$

Hi,
a solution in 20 secs would be..
since it is subtracting something from the power of x, the least would be something with term of x as negative..
x to the power of even number will give positive number and with odd power will give -ive ... so A,B and E can be eliminated..
in D, we are adding a bigger numeric value with a negative sign to another -ive ,x^3..
ans is D

Hope oit helps
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If x is a negative integer, which of the following expressions has the  [#permalink]

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26 Jan 2016, 10:26
paidlukkha wrote:
If x is a negative integer, which of the following expressions has the LEAST value?

A $$x^{2} - 0.50$$
B $$x^{2} - 0.51$$
C $$x^{3} - 0.502$$
D $$x^{3} - 0.511$$
E $$x^{4} - 0.512$$

Let x = -1, so we get....
A $$(-1)^{2} - 0.50$$ = 1 - 0.50
B $$(-1)^{2} - 0.51$$ = 1 - 0.51
C $$(-1)^{3} - 0.502$$ = -1 - 0.502
D $$(-1)^{3} - 0.511$$ = -1 - 0.511
E $$(-1)^{4} - 0.512$$ = 1 - 0.512

A, B and E will result in POSITIVE values
C and D will result in NEGATIVE values
Eliminate A, B and E

Cheers,
Brent
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If x is a negative integer, which of the following expressions has the &nbs [#permalink] 26 Jan 2016, 10:26
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