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# Which of the following ratios is most nearly equal to the ra

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Manager
Joined: 10 Nov 2010
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Location: India
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Which of the following ratios is most nearly equal to the ra  [#permalink]

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20 Feb 2011, 02:56
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Difficulty:

35% (medium)

Question Stats:

72% (01:26) correct 28% (01:31) wrong based on 208 sessions

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Which of the following ratios is most nearly equal to the ratio $$1 + \sqrt{5}$$ to 2?

A. 8 to 5
B. 6 to 5
C. 5 to 4
D. 2 to 1
E. 1 to 1

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Re: Which of the following ratios is most nearly equal to the ra  [#permalink]

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20 Feb 2011, 03:11
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1
Which of the following ratios is most nearly equal to the ratio 1 + square root of 5 to 2?

A. 8 to 5
B. 6 to 5
C. 5 to 4
D. 2 to 1
E. 1 to 1

Answer choices represent the ratios, for example 6 to 5 means 6/5.

$$\frac{1+\sqrt{5}}{2}\approx{\frac{1+2.2}{2}}=\frac{3.2}{2}=1.6=\frac{8}{5}$$

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Re: Which of the following ratios is most nearly equal to the ra  [#permalink]

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20 Feb 2011, 03:23
1
$$\frac{1+sqrt{5}}{2}=\frac{10(1+2.24)}{20}=\frac{32.4}{20}$$

A. $$\frac{8}{5}=\frac{32}{20}$$

B. $$\frac{6}{5}=\frac{24}{20}$$

C. $$\frac{5}{4}=\frac{25}{20}$$

D. $$\frac{2}{1}=\frac{40}{20}$$

E. $$\frac{1}{1}=\frac{20}{20}$$

Compare the numerators. A's numerator is the closest.

Ans: "A"
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Re: Which of the following ratios is most nearly equal to the ra  [#permalink]

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20 Feb 2011, 03:42
You know that sqrt(5) is larger than 2. Thus the expression is larger than 3/2, which only leaves A and D as possible solutions. Since sqrt(5) is closer to 2 than 3 D also drops out, leaving A as the correct solution.
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Re: Which of the following ratios is most nearly equal to the ra  [#permalink]

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08 Apr 2018, 05:22
Bunuel wrote:
Which of the following ratios is most nearly equal to the ratio 1 + square root of 5 to 2?

A. 8 to 5
B. 6 to 5
C. 5 to 4
D. 2 to 1
E. 1 to 1

Answer choices represent the ratios, for example 6 to 5 means 6/5.

$$\frac{1+\sqrt{5}}{2}\approx{\frac{1+2.2}{2}}=\frac{3.2}{2}=1.6=\frac{8}{5}$$

Bunuel any useful link to memorize frequent decimals converted to fractions ?
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Re: Which of the following ratios is most nearly equal to the ra  [#permalink]

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08 Apr 2018, 05:43
1
dave13 wrote:
Bunuel any useful link to memorize frequent decimals converted to fractions ?

Hi dave13,

Here you go -> https://gmatclub.com/forum/why-you-shou ... 90203.html

and

https://gmatclub.com/forum/percentages- ... 08098.html

and this image ->

Hope this helps!

Best,
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“Do. Or do not. There is no try.” - Yoda (The Empire Strikes Back)

Re: Which of the following ratios is most nearly equal to the ra &nbs [#permalink] 08 Apr 2018, 05:43
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