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a question from real kaplan test

by sana.noor » Fri Jun 21, 2013 11:06 pm
if a^2 > or = to 25, which of the following must be true?
1) a > or = 5
2) a < 0r = -5
3) a > or = 10 OR a < or = -10
4) a > or = 5 OR a < 0r = -5
5) -5 < or = a = 0r < 5

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by melguy » Sat Jun 22, 2013 12:47 am
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Last edited by melguy on Sat Jun 22, 2013 4:15 am, edited 1 time in total.
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by GMATGuruNY » Sat Jun 22, 2013 2:29 am
sana.noor wrote:if a² ≥ 25, which of the following must be true?

1) a ≥ 5
2) a ≤ -5
3) a ≥ 10 OR a ≤ -10
4) a ≥ 5 OR a ≤ -5
5) -5 ≤ a ≤ 5

4
Show that four of the five answer choices DON'T have to be true.
Be sure to satisfy the constraint that a² ≥ 25.

It's possible that a = 6, since 6² ≥ 25.
Eliminate B, since it does not have to be true that a ≤ - 5.
Eliminate C, since it does not have to be true that a ≥ 10 or a ≤ -10.
Eliminate E, since it does not have to be true that -5 ≤ a ≤ 5.

It's possible that a = -6, since (-6²) ≥ 25.
Eliminate A, since it does not have be true that a ≥ 5.

The correct answer is D.
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