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# M19-08

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Math Expert
Joined: 02 Sep 2009
Posts: 59712

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16 Sep 2014, 01:05
00:00

Difficulty:

5% (low)

Question Stats:

92% (00:34) correct 8% (00:56) wrong based on 177 sessions

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$$\frac{11}{1.375} = \text{?}$$

A. 8
B. 9
C. 12
D. 14
E. 16

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Posts: 3747

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25 Apr 2017, 07:30
1
Bunuel wrote:
$$\frac{11}{1.375} = \text{?}$$

A. 8
B. 9
C. 12
D. 14
E. 16

Handle denominator first:

1.375 = 1 $$\frac{3}{8}$$ = $$\frac{11}{8}$$

The compound fraction: 11 divided by $$\frac{11}{8}$$ =

11 * $$\frac{8}{11}$$ = 8

A.
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Math Expert
Joined: 02 Sep 2009
Posts: 59712

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16 Sep 2014, 01:05
Official Solution:

$$\frac{11}{1.375} = \text{?}$$

A. 8
B. 9
C. 12
D. 14
E. 16

$$\frac{11}{1.375} = \frac{1000}{\frac{1375}{11}} = \frac{1000}{125} = 8$$.

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Joined: 16 Dec 2016
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04 Mar 2017, 07:39
Even if there was a number in place of 1375 that was not divisible by 11, the following answer based approach could be used.

11/14 < 11/1.375 < 11/13

= 7.8 < 11/1.375 < 8.5

This eliminates all other choices.
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02 Aug 2017, 08:27
Option A. 1.375 can be written as (1+3/8). The expression then becomes 11/(11/8). The answer is 8 or option A.
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03 Aug 2017, 05:24
Approximate 1.375 as 1.4

Hence it is $$\frac{11}{1.4}$$
= $$\frac{110}{14}$$
= approx. 8 (precisely less than 8)
As you have increased the denominator, you would have to increase the value you got to compensate for the same and get the actual answer.

Hence A.

Press Kudos if this helped!!
M19-08   [#permalink] 03 Aug 2017, 05:24
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# M19-08

Moderators: chetan2u, Bunuel