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# Is the value of n closer to 50 than 75? 1. 75-n > n-50 2.

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Is the value of n closer to 50 than 75? 1. 75-n > n-50 2. [#permalink]  28 Jul 2009, 17:19
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Is the value of n closer to 50 than 75?
1. 75-n > n-50
2. n > 60

Solving stmt 1. we get, n< 62.5.My thought,Ok if n=62,we know n is closer to 50,but if n=40,it is STILL closer to 50.SUFF.
Stmt 2, n=62,closer to 50 but if n=72,close to 75.INSUFF>

Guys is the reasoning correct,cos the official explanation was WAY off.
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Re: Quant review #32 [#permalink]  28 Jul 2009, 19:23
You are absolutely right!!!
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Re: Quant review #32 [#permalink]  28 Jul 2009, 19:52
tejal777 wrote:
Is the value of n closer to 50 than 75?
1. 75-n > n-50
2. n > 60

Solving stmt 1. we get, n< 62.5.My thought,Ok if n=62,we know n is closer to 50,but if n=40,it is STILL closer to 50.SUFF.

Stmt 2, n=62,closer to 50 but if n=72,close to 75.INSUFF>

Guys is the reasoning correct,cos the official explanation was WAY off.

------------------------
Hi tejal,

wats the OA? bcoz my reasoning is as follows. IMO E is the right answer.

Stmt 1: Since it is not mentioned tat n is an integer, n can be 62.5 and in tat case n is equidistant from both 50 an d75. So "is n closer to 50 or 75 " cant be answered in such scenerio. Data insufficient

Stmt 2: if n = 61 its close to 50; if n = 65 its close to 75. hence data insufficient

Combining 1 &2 n =62.5 (n>60) is still equidistant from 50 & 75. hence cant be answered.

Pls correct me if iam wrong
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Re: Quant review #32 [#permalink]  28 Jul 2009, 20:53
krishireddy wrote:
Hi tejal,

wats the OA? bcoz my reasoning is as follows. IMO E is the right answer.

Stmt 1: Since it is not mentioned tat n is an integer, n can be 62.5 and in tat case n is equidistant from both 50 an d75. So "is n closer to 50 or 75 " cant be answered in such scenerio. Data insufficient

Stmt 2: if n = 61 its close to 50; if n = 65 its close to 75. hence data insufficient

Combining 1 &2 n =62.5 (n>60) is still equidistant from 50 & 75. hence cant be answered.

Pls correct me if iam wrong

The Q is "Is the value of n closer to 50 than 75?" and only requires a Y/N answer. if you answer no all the time (in the case of 62.5) then it's still suff.

**However - please note - St1 75-n > n-50 - so n cannot be 62.5 because that would mean 75-n = n-50. So A is suff.
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Re: Quant review #32 [#permalink]  28 Jul 2009, 20:57
i agree answer shud be E..because with every condition taken there is uncertanty...
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Re: Quant review #32 [#permalink]  29 Jul 2009, 08:38
Salisaaa wrote:
krishireddy wrote:
Hi tejal,

wats the OA? bcoz my reasoning is as follows. IMO E is the right answer.

Stmt 1: Since it is not mentioned tat n is an integer, n can be 62.5 and in tat case n is equidistant from both 50 an d75. So "is n closer to 50 or 75 " cant be answered in such scenerio. Data insufficient

Stmt 2: if n = 61 its close to 50; if n = 65 its close to 75. hence data insufficient

Combining 1 &2 n =62.5 (n>60) is still equidistant from 50 & 75. hence cant be answered.

Pls correct me if iam wrong

The Q is "Is the value of n closer to 50 than 75?" and only requires a Y/N answer. if you answer no all the time (in the case of 62.5) then it's still suff.

**However - please note - St1 75-n > n-50 - so n cannot be 62.5 because that would mean 75-n = n-50. So A is suff.

thanks salisaa....

I guess i made the mistake of replacing inequality with equal to.

Stmt 1: 75-n > n-50
=> n<62.5; ie., n can be 62.4 but not 62.5 (anything less than 62.5)
=> thus n is closer to 50 than 75.

thus A is Sufficient
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Re: Quant review #32 [#permalink]  29 Jul 2009, 10:44
Is the value of n closer to 50 than 75?
1. 75-n > n-50
2. n > 60

average of 50 and 75 is 125/2 = 62.5

question is is n = >< 62.5

from 1

75-n-n+50>0 ie: -2n+125>0 ie: 125>2n thus n>62.5.........suff

from 2

n>60 obviously not suff

A
Re: Quant review #32   [#permalink] 29 Jul 2009, 10:44
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