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# QOTD#21 Which of the following are greater than 1

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Joined: 07 Jun 2014
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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]  25 Apr 2017, 16:41
Expert's post
00:00

Question Stats:

70% (00:41) correct 30% (01:55) wrong based on 10 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. $$\sqrt{143}\times 7^{1/3} \div 24.034$$

A, B

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

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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 120

Kudos [?]: 1910 [0], given: 397

Re: QOTD#21 Which of the following are greater than 1 [#permalink]  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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