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Which of the following has a value that is greater than 25?

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Bunuel
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Which of the following has a value that is greater than 25? [#permalink] Which of the following has a value that is greater than 25?   01 Jul 2020, 10:58
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A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

74% (01:07) correct 26% (01:10) wrong based on 118 sessions
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Which of the following has a value that is greater than 25?

I. \(10 \sqrt{6}\)

II. \(2 \sqrt{169}\)

III. \(10 \sqrt{7}\)

A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, and III
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D
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rajatchopra1994
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Re: Which of the following has a value that is greater than 25? [#permalink] Which of the following has a value that is greater than 25?   01 Jul 2020, 11:05
Explanation:

I. 10√6
√6 will be less than 2.5, as √6.25 = 2.5
so, 10√6 less than 25

II. 2√169
2x13 = 26

III. 10√7.
√7 greater 2.5, so 10√7 will be greater than 25

IMO-D
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Re: Which of the following has a value that is greater than 25? [#permalink] Which of the following has a value that is greater than 25?   01 Jul 2020, 11:16
Bunuel wrote:
Which of the following has a value that is greater than 25?

I. \(10 \sqrt{6}\)

II. \(2 \sqrt{169}\)

III. \(10 \sqrt{7}\)

A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, and III


Asked: Which of the following has a value that is greater than 25?

I. \(10 \sqrt{6}\)
\(10 \sqrt{6} = 10 * 2.44 = 24.4 < 25\); NO

II. \(2 \sqrt{169}\)
\(2 \sqrt{169} = 2* 13 = 26 > 25\); YES

III. \(10 \sqrt{7}\)
\(10 \sqrt{7} = 10 * 2.646 = 26.46 > 25\); YES

IMO D
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Re: Which of the following has a value that is greater than 25? [#permalink] Which of the following has a value that is greater than 25?   01 Jul 2020, 11:32
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Easier way would be to square the numbers

So (10√6)²=600 < 25² -> 10√6 < 25
2√169= 26 > 25
(10√7)²=700 > 25² -> 10√7 > 25

So D

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Re: Which of the following has a value that is greater than 25? [#permalink] Which of the following has a value that is greater than 25?   01 Jul 2020, 11:41
Squaring 25 we get 625.

Now from options,
I. Squaring \(10\sqrt{6}\) equals to 600 which is < 625

So cancelling options A, C, and E.

II. \(2\sqrt{169 }\) equals to 2 x 13 = 26 which is > 25

III. Squaring \(10\sqrt{7}\) equals to 700 which is > 625.

Thus IMO ans is D, i.e., II and III both.
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Which of the following has a value that is greater than 25? [#permalink] Which of the following has a value that is greater than 25?   17 Jul 2021, 04:03
25=\(\sqrt{625}\)

I 10\(\sqrt{6}\)=\(\sqrt{600}\) < \(\sqrt{625}\)

II 2\(\sqrt{169}\)=\(\sqrt{676}\) > \(\sqrt{625}\)

III 10\(\sqrt{7}\)=\(\sqrt{700}\) > \(\sqrt{625}\)

Answer D.
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Re: Which of the following has a value that is greater than 25? [#permalink] Which of the following has a value that is greater than 25?   18 Jul 2021, 08:40
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Option I: \(10\sqrt{6} = \sqrt{600} < \sqrt{625} = 25\)

Option II: \(2\sqrt{169} = 2 * 13 = 26 > 25\)

Option III: \(10\sqrt{7} = \sqrt{700} > \sqrt{625} = 25\)

Only Option II and III

Answer D
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Re: Which of the following has a value that is greater than 25? [#permalink]
18 Jul 2021, 08:40
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Bunuel
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