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# a = 4 6 < b < 8

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Joined: 07 Jun 2014
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a = 4 6 < b < 8 [#permalink]  04 Mar 2018, 13:50
Expert's post
00:00

Question Stats:

90% (00:25) correct 9% (00:00) wrong based on 11 sessions
$$a = 4$$
$$6 < b < 8$$

 Quantity A Quantity B 0.6 $$\frac{a}{b}$$

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.

Drill 1
Question: 12
Page: 495
[Reveal] Spoiler: OA

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

Kudos [?]: 1657 [0], given: 396

Re: a = 4 6 < b < 8 [#permalink]  04 Mar 2018, 14:19
Expert's post
Explanation

Start by combining the 2 given equations:
If $$a = 4$$ and $$6 < b < 8$$, then the acceptable range for $$\frac{a}{b}$$ is $$\frac{4}{6}>\frac{a}{b}>\frac{4}{8}$$, which can be reduced to or, in decimal form, $$0.5 <\frac{a}{b}< 0.67$$.

Select choice (D) because can be either larger or smaller than 0.6.
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Manager
Joined: 22 Feb 2018
Posts: 120
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Kudos [?]: 71 [0], given: 14

Re: a = 4 6 < b < 8 [#permalink]  05 Mar 2018, 18:26
we calculate the minimum and maximum of a/b
min : 4/8 = 1/2 with is less than 0.6
max : 4/6 = 2/3 with is more than 0.6

also, we have:
6<b<8
1/8 < 1/b < 1/6
a/8 < a/b < a/6
4/8 < a/b < 4/6
1/2 < a/b < 2/3
so the range of a/b is less than 0.6 from 1/2 to 0.6 and is more than 0.6 from 0.6 to 2/3 and thus D is correct.

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Intern
Joined: 11 Jan 2018
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Kudos [?]: 26 [0], given: 7

Re: a = 4 6 < b < 8 [#permalink]  09 Mar 2018, 07:21
Here, you just need to put extremes i.e:

4/8 < a/b < 4/6

As calculator is available in GRE, so you will see clearly, value of a/b will exists between 0.5 and 0.666

Thus choice D correct.
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Re: a = 4 6 < b < 8   [#permalink] 09 Mar 2018, 07:21
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