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# If a is equal to one of the numbers 5/11, 7/12,9/13 what is

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If a is equal to one of the numbers 5/11, 7/12,9/13 what is [#permalink]

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06 Apr 2010, 01:36
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If a is equal to one of the numbers 5/11, 7/12,9/13 what is the value of a?

1) 5/11 < a < 3/4

2) 11/13 > a > 1/2

OA :E

Last edited by vishalranka on 06 Apr 2010, 20:07, edited 1 time in total.
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06 Apr 2010, 07:43
B.

1) 5/11<a<3/4 => 0.455<a<0.75

We have two values for a in this range- 0.583,0.692- insufficient

2) 11/13>a>1/2

This can be rewritten as : 1/2<a<11/13. There is only one possible value for a in this range. Hence a= 0.583 - sufficient.
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06 Apr 2010, 08:27
vishalranka wrote:
If a is equal to one of the numbers 5/11, 7/12,9/13 what is the value of a?

1) 5/11 < a < 3/4

2) 11/13 > a > 1/2

5/11 < 7/12 < 9/13

1: 0.45 < a < .75
9/13 < 3/4
hence two possible values of a 7/12 & 9/13
A not suffcient.

2: 1/2 < a < 11/13
9/13 < 11/13 hence still two possible values of a 7/12 & 9/13.
B not suffcient.

Combining,
1/2 < a < 3/4 still two possible values of a.
Not Suffcient.

Its E.

What is the OA?
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06 Apr 2010, 10:10
1. 5/11 < a < 3/4
Cross multiply 7/12 and 3/4 to find which is greater. 28<36.
This condition will be satisfied by 7/12.
Also, for 9/13 it is 36<39.
This condition will be satisfied by 9/13.
Insufficient

2. 1/2 < a < 11/13
All three values are less than 11/13.
Cross multiple 5/11 and 1/2. 10<11. So this is not considered.
Cross multiply 7/12 and 1/2 to find which is greater. 14>12.
This condition will be satisfied by 7/12.
Also, for 9/13 it is 18>13.
This condition will be satisfied by 9/13.
Insufficient.

If we combine both the statements, still both 7/12 and 9/13 will satisfy the condition.

So Ans E.
Re: DS   [#permalink] 06 Apr 2010, 10:10
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