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Senior Manager
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Set S consists of 5 consecutive integers. Set T consists of [#permalink]
 18 Aug 2005, 09:07
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Set S consists of 5 consecutive integers. Set T consists of 7 consecutive integers. Is the median of S equal to the Median of T?
1) The median of S is 0
2) The Sum of the numbers in S is equal to the Sum of numbers in T
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Manager
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I think the answer is C. Both conditions are needed.
Please correct me if I am wrong.
S= [-2,-1,0,1,2]
T= [-3,-2,-1,0,1,2,3]
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Manager
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C.
St 1: Nothing about T, insufficient
St 2: if set S starts with x and set T with y, then:
5x+10 = 7y+21, this equation is satisified with x = -2, 5, 12 etc. This gives a yes and no answer, insufficient.
St1+st2 combined pegs x at -2 and the median of both sets at 0.
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Manager
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St 1 not suff
st2 suff to answer the question
so B
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Senior Manager
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Will go with B too..
IMO If sum of a set with 5 consec numbers and 7 consec numbers are same then the sum could only be 0, and the only possibility is a 0 in the middle flanked by positives and negatives...
_________________
Fear Mediocrity, Respect Ignorance
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Manager
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Ok, Here is a counter example for why B is not sufficient:
S = {5,6,7,8,9}
T = (2,3,4,5,6,7,8}
Another way to look at the second statement is that you have 2 variables -- the starting vlaues for S & T, and multiple value pairs satisfy this equation with equal and different medians.
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Senior Manager
Joined: 04 May 2005
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C
1) insuff
2) insuff
5 6 7 8 9 sum: 35 median: 7
2 3 4 5 6 7 8 sum: 35 median: 5
-9 -8 -7 -6 -5
-8 -7 -6 -5 -4 -3 -2
-2 -1 0 1 2 sum: 0 median: 0
-3 -2 -1 0 1 2 3 sum: 0 median: 0
1)+2) suff
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Manager
Joined: 06 Aug 2005
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This was a good question.
If you do the algebra you get the answer right.
If you just guess at the obvious answer you got it wrong !
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SVP
Joined: 03 Jan 2005
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prep_gmat has the correct method of solving this kind of question.
_________________
Keep on asking, and it will be given you;
keep on seeking, and you will find;
keep on knocking, and it will be opened to you.
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Senior Manager
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Sorry for offtopic:
is 0 considered integer?
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Manager
Joined: 06 Aug 2005
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Yes 0 is an integer.
0 is also a rational number and an even number.
It is not a positive number.
(It is sometimes regarded as a natural number too !)
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close
