• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn
100 points for \$49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS
Earn 10 Points Per Post
Earn 10 Points Per Thanks
Earn 10 Points Per Upvote

## DS Question - Not agreeing with the answer

##### This topic has expert replies
Junior | Next Rank: 30 Posts
Posts: 12
Joined: 20 Mar 2008
Location: USA
Thanked: 1 times

### DS Question - Not agreeing with the answer

by sxjain3 » Sat May 24, 2008 3:52 pm
This is a question from the DS list of questions in the Word document

Sectio 14 / Question - 10 -

If the average (arithmetic mean) of six numbers is 75, how many of the numbers are equal to 75 ?

(1) None of the six numbers is less than 75.
(2) None of the six numbers is greater than 75.

The answer provided is : C

But I get "d"

Thoughts ?
Last edited by sxjain3 on Sat May 24, 2008 5:03 pm, edited 1 time in total.

Legendary Member
Posts: 631
Joined: 18 Feb 2008
Thanked: 29 times
Followed by:3 members
by netigen » Sat May 24, 2008 4:04 pm

(a) >=75 so all of them are 75 otherwise the avg can not be 75
(b) <=75 so all of them are 75 otherwise the avg can not be 75

Senior | Next Rank: 100 Posts
Posts: 84
Joined: 05 Feb 2008
Thanked: 8 times
by luvaduva » Sat May 24, 2008 4:13 pm
I get (D)

The stem tells us the mean is 75.

75 = sum/6, So, the sum must equal 75*6 = 450 *both statements say n=6*

(1) The only way for this statement to be true(which statements are ALWAYS TRUE) is for each number to be 75.

(2) Same applies to this.

You can spend some time on this and set up an equation if you like:

For (1):

(75+a) + (75+b) + (75+c) + (75+d) + (75+e) + (75+f) = 450

75*6 + (a+b+c+d+e+f) = 450
450 + (a+b+c+d+e+f) = 450
(a+b+c+d+e+f) = 0

The same applies to for (2) except it would be: 75 -a ...

Junior | Next Rank: 30 Posts
Posts: 12
Joined: 20 Mar 2008
Location: USA
Thanked: 1 times
by sxjain3 » Sat May 24, 2008 5:02 pm
Sorry that's what I meant. I get a "d", but the answer given is "c"

• Page 1 of 1