GMAT Prep Question

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C Okigbo: Junior | Next Rank: 30 Posts; Posts: 20; Joined: Sun Jul 12, 2015 6:50 pm

by C Okigbo » Sun Jul 19, 2015 3:11 pm

5. The sum of integers in S is the same as the sum of the integers in list T. Does S contain more integers than T?

1) The mean of the integers in S is less than the mean of the integers in T
2) The median of the integers in S is greater than median of the integers in T

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Source: Beat The GMAT — Data Sufficiency | Sun Jul 19, 2015 3:11 pm

Jim@StratusPrep: MBA Admissions Consultant; Posts: 2279; Joined: Fri Nov 11, 2011 7:51 amFollowed by: 266 members; Location: New York; Thanked: 660 times; GMAT Score:770

by Jim@StratusPrep » Mon Jul 20, 2015 5:21 am

1) Sufficient If the sum is the same but the average for S is smaller, there must be more terms in S. Think if numerator is the same (average = sum/#terms), then the denominator must be larger for the average to be smaller.

2) The median has no relationship to the number of items in a set.

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OptimusPrep: Master | Next Rank: 500 Posts; Posts: 410; Joined: Fri Mar 13, 2015 3:36 amFollowed by: 8 members; Location: Worldwide; Thanked: 120 times; GMAT Score:770

by OptimusPrep » Tue Jul 21, 2015 10:12 am

Statement 1:
This statement talks about the mean or the average of S

Mean = Sum/No. of terms
So we can easily say that Mean is inversely proportional to No. of terms.
Here we are given that the sum is same for both S and T.

So by the proportionality, we can find out the relation between the number of terms and have a definite YES or a definite NO as the answer to statement 1.

Statement 2:
The information about median does not gives us any data point to conclude about number of items.

Hence the correct answer is A

NOTE: I did not solve for statement 1 fully. Because I came to know that an answer can be found out.
On the DS questions, you just have to figure out a definite YES or a definite NO as the answer.
If it can be obtained, no need to solve further as you are not asked to solve. This can save considerable amount of time on the GMAT.

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nikhilgmat31: Legendary Member; Posts: 518; Joined: Tue May 12, 2015 8:25 pm; Thanked: 10 times

by nikhilgmat31 » Wed Jul 22, 2015 4:05 am

In Statement 1 - Principle of this question Mean * Number of Elements = Sum of Elements
SUFFICIENT.

Statement 2 - NOT SUFFICIENT.
There is no relation of Median with number of elements.

Answer is A

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