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Of the numbers Q, R, S, and T, which is greatest? (1) The

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Of the numbers Q, R, S, and T, which is greatest? (1) The  [#permalink]

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New post 08 Oct 2010, 19:00
1
9
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

47% (01:01) correct 53% (00:48) wrong based on 350 sessions

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Of the numbers Q, R, S, and T, which is greatest?

(1) The average (arithmetic mean) of Q and R is S.

(2) The sum of Q and R is T.

I continue to make careless errors on these types of problems. Is there any testing approaches that people find effective when facing such questions? Any tips would be much appreciated. Thanks!
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Re: DS problem from an old official GMAT paper exam  [#permalink]

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New post 08 Oct 2010, 19:48
1
1
The mean lies between the two numbers.
So 1 suggests that Q<= S<=R or R<=S<=Q. Clearly we cant tell the relation between Q and R. T is unknown as well . So 1 is insufficient

2) It tells T = R + Q. Not sufficient as we don't know S

Combining 1, 2, We just know S can't be greater than R, Q. But still we dont know for sure about T as for R, Q positive, T will be greates.. but if either R/ Q is negative..T will not be greatest.

Hence it should be E
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Re: DS problem from an old official GMAT paper exam  [#permalink]

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New post 08 Oct 2010, 22:33
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I most of the time in such cases try couple of scenarios with positive numbers first and later negatives no.
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Re: DS problem from an old official GMAT paper exam  [#permalink]

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New post 08 Oct 2010, 23:19
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tonebeeze wrote:
Of the numbers Q, R, S, and T, which is greatest?

(1) The average (arithmetic mean) of Q and R is S.

(2) The sum of Q and R is T.

I continue to make careless errors on these types of problems. Is there any testing approaches that people find effective when facing such questions? Any tips would be much appreciated. Thanks!


1) Not enough. Only tells us S is between Q and R. No info about T

2) Doesnt tell us anything. Since no info about S

(1+2) : 1 tells us S is between Q & R. 2 gives us very little info. If Q & R are negative, T is less than both, if they are positive T is greater than both. Impossible to know what is the greatest number w/o having this complete information

Answer is (e)
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Of the numbers Q, R, S, and T, which is greatest? (1) The  [#permalink]

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New post 13 Sep 2014, 04:37
Plugging in numbers may be useful..
Individual statements are obviously not sufficient..combining both,we have,
let -
Q=4
R=12
Hence,S =12+4/2= 8 =AVERAGE

T=4+12=16....so in this case,T is highest..now,lets take another case..

Q= -4
R= 12
Hence,S = -4+12/2 = 4 = AVERAGE

T= -4+12=8...So,n this case R is highest..so even both of them together not sufficient...



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Re: Of the numbers Q, R, S, and T, which is greatest? (1) The  [#permalink]

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New post 02 Dec 2014, 15:09
tonebeeze wrote:
Of the numbers Q, R, S, and T, which is greatest?

(1) The average (arithmetic mean) of Q and R is S.

(2) The sum of Q and R is T.

I continue to make careless errors on these types of problems. Is there any testing approaches that people find effective when facing such questions? Any tips would be much appreciated. Thanks!



from 1: S= (Q+R)/2, S is in between Q and R, Q<S<R or R<S<Q, T can be on any side of this inequality, therefor NSF
from 2: Q+R = T, No info on S at all, so NSF

combining 1 + 2, if Q = -100 and R = 100, then AM of Q and R is 0 = S and T=0 , if we take any other numbers we get different answer.
therefore NSF.

Answer is E
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Re: Of the numbers Q, R, S, and T, which is greatest? (1) The  [#permalink]

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New post 06 Mar 2018, 16:40
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Re: Of the numbers Q, R, S, and T, which is greatest? (1) The &nbs [#permalink] 06 Mar 2018, 16:40
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