BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course
Redeem
Featured Course
Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.
IMO E. Whts the OA?gmatblood wrote:A set consists of of several different integers. Is the product of all the integers in the list positive?
(1) The product of the greatest and smallest of the integers in the list is positive
(2) There are an even number of integers in the list
rijul007 wrote:Interpretation of Question
Lets first arrange the integers in the set in ascending order
S={a,b,c,d,e,f,g,...............x}
For product to be positive we need even or 0 number of negative integers.
so we can rephrase the ques as
Are there any negative integrs in the set? If yes, is the number of negative integers even?
Statement 1:
The product of the greatest and smallest of the integers in the list is positive
a*x is positve
this means either all integers are positive or all or negative and a is not equal to 0.
but we dont know, if the number of integers is even.
Insufficient
Statement 2:
There are an even number of integers in the list
This tells us nothin about the no of negative integrs
Insufficient
Combining 2 statements
From S-1,
All integers are either only negative or only positive.
From S-2,
There are even number of integers.
If all integers are positive,then the product will ofcourse be positive
If all integers are negative, and the number of integers is even, the product will be positive.
Hence, Option C is the answer.
how can you prove that you did not assume that the elements in the set are in ascending order?? please prove this.. thanks in advance
Thank youRijul great idea and superb approach towards the problem..
New here Create free account
