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06 Jun 2023, 01:30
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
47% (01:19) correct
53%
(01:25)
wrong
based on 161
sessions
History
Date
Time
Result
Not Attempted Yet
If P is the product of all the numbers in set S, is P positive ?
(1) The number of negative numbers in set S equals to the number of positive factors of 169
(2) All the integers in set S are non zero.
(1) The number of negative numbers in set S equals to the number of positive factors of 169
(2) All the integers in set S are non zero.
P is the product of all the numbers in set S, is P positive ?
Is P>O?
(1) The number of negative numbers in set S equals to the number of positive factors of 169
169=13^2
Positive factors of 169 are 1,13, and 169.
So, there are three negative numbers in set S. We neither know how many positive numbers are there in set S nor know whether 0 is there in the S or not.
Statement I alone is insufficient.
(2) All the integers in set S are non zero.
This statement tells us that P is not equal to zero but since we do not know the numbers of positive and negative numbers, we cannot say whether P is positive.
Statement II alone is insufficient.
Combining statement I and II
Set S has
I) 3 negative numbers
II) no 0
Now, whatever be the number of positive numbers, P will always be negative.
Statement I and II combined together are sufficient.
Option C is the answer
Posted from my mobile device
Is P>O?
(1) The number of negative numbers in set S equals to the number of positive factors of 169
169=13^2
Positive factors of 169 are 1,13, and 169.
So, there are three negative numbers in set S. We neither know how many positive numbers are there in set S nor know whether 0 is there in the S or not.
Statement I alone is insufficient.
(2) All the integers in set S are non zero.
This statement tells us that P is not equal to zero but since we do not know the numbers of positive and negative numbers, we cannot say whether P is positive.
Statement II alone is insufficient.
Combining statement I and II
Set S has
I) 3 negative numbers
II) no 0
Now, whatever be the number of positive numbers, P will always be negative.
Statement I and II combined together are sufficient.
Option C is the answer
Posted from my mobile device
Afn24
Joined: 03 Aug 2021
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GMAT 1: 470 Q27 V28
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Schools: Columbia CBS '24 Darden '24 ESADE Fuqua '24 Haas '24 Harvard '24 Kellogg '24 LBS '24 Said '23 Sloan '24 Stanford '24 Wharton '24 Yale '24 Anderson '24 CEIBS '24
GMAT 3: 600 Q39 V34
Posts: 82
06 Jun 2023, 02:08
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Set S has
I) 3 negative numbers
II) no 0
Still we aren't sure about the number of positive numbers.
E.g. If there are equal number of positive numbers, P is positive.
If not, P is negative.
Statement I and II combined together are still insufficient.
Option E is the answer
Posted from my mobile device[/quote]
Why would it make any difference how many positive numbers there are?
If the product of 3 negative numbers is negative then no matter how many positive numbers are multiplied by it. The product will still be negative
I) 3 negative numbers
II) no 0
Still we aren't sure about the number of positive numbers.
E.g. If there are equal number of positive numbers, P is positive.
If not, P is negative.
Statement I and II combined together are still insufficient.
Option E is the answer
Posted from my mobile device[/quote]
Why would it make any difference how many positive numbers there are?
If the product of 3 negative numbers is negative then no matter how many positive numbers are multiplied by it. The product will still be negative
