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QOTD#21 Which of the following are greater than 1

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GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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QOTD#21 Which of the following are greater than 1 [#permalink] New post 25 Apr 2017, 16:41
Expert's post
00:00

Question Stats:

83% (00:23) correct 16% (02:12) wrong based on 6 sessions
Which of the following are greater than 1?

Indicate all possible values.


A. \(\frac{4(3 + 0.07)}{11.092}\)
B. \((\sqrt{82}-1.7^2) \div \sqrt{34}\)
C. \(\frac{9978.4 - 0.0083}{101^2}\)
D. \(\sqrt{143}\times 7^{1/3} \div 24.034\)

[Reveal] Spoiler: Answer
A, B


Drill 4
Question: 3
Page: 321
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1659 [0], given: 396

CAT Tests
Re: QOTD#21 Which of the following are greater than 1 [#permalink] New post 30 Apr 2017, 14:40
Expert's post
Explanation

A and B You can use your on-screen calculator, but it will probably be faster to ballpark on at least some of these—for example, think of \(\sqrt{82}\) as slightly more than 9, or \(\sqrt{34}\)as slightly less than 6. In order to figure out which fractions are greater than one, just figure out if the top part of the fraction is bigger than the bottom part:


A. \(\frac{4(3 + 0.07)}{11.092}\) : : top bigger than 12, bottom smaller, so choice (A) works;
B. \((\sqrt{82}-1.7^2) \div \sqrt{34}\): : top bigger than 6, bottom smaller, so choice (B) works;
C. \(\frac{9978.4 - 0.0083}{101^2}\): : top smaller than 10,000, bottom bigger, so eliminate choice (C);
D. \(\sqrt{143}\times 7^{1/3} \div 24.034\):: top smaller than 24—you might think of it as less than 12 times less than 2—bottom bigger, so eliminate choice (D).

Hence A and B are correct!
_________________

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Re: QOTD#21 Which of the following are greater than 1   [#permalink] 30 Apr 2017, 14:40
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