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26 Aug 2022, 08:30
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C
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Difficulty:
55%
(hard)
Question Stats:
56% (01:26) correct
44%
(00:58)
wrong
based on 61
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A list contains several different numbers. Is the product of all the numbers in the list positive?
(1) There are an even number of integers in the list.
(2) The product of the greatest and least numbers in the list is greater than zero.
(1) There are an even number of integers in the list.
(2) The product of the greatest and least numbers in the list is greater than zero.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
26 Aug 2022, 10:25
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Is the product of all the numbers in the list positive?
note that the list contains several different numbers
(1) There are an even number of integers in the list.
some numbers in the list may be negative and some positive... so product of all numbers depends on the exact number of negative and positive numbers. St 1 is not sufficient
(2) The product of the greatest and least numbers in the list is greater than zero.
It may happen that the greatest and least number are both negative and their product is positive or
the greatest and least number are both positive and their product is positive
so St 2 is not sufficient
st 1 + st2
even number of integers + product of the greatest and least number >0
implies that the greatest and least number are either both positive (in this case product is positive - YES) or both negative and if negative - since even numbers of integers are present so the product of all numbers is Positive - YES
Combined is Sufficient
answer - C
note that the list contains several different numbers
(1) There are an even number of integers in the list.
some numbers in the list may be negative and some positive... so product of all numbers depends on the exact number of negative and positive numbers. St 1 is not sufficient
(2) The product of the greatest and least numbers in the list is greater than zero.
It may happen that the greatest and least number are both negative and their product is positive or
the greatest and least number are both positive and their product is positive
so St 2 is not sufficient
st 1 + st2
even number of integers + product of the greatest and least number >0
implies that the greatest and least number are either both positive (in this case product is positive - YES) or both negative and if negative - since even numbers of integers are present so the product of all numbers is Positive - YES
Combined is Sufficient
answer - C
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