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28 Dec 2020, 01:15
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
49% (02:01) correct
51%
(01:59)
wrong
based on 134
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If x, y, and z are positive integers, where x > y > z, is x*y*z an odd number ?
(1) p - z is an odd number, where p is a prime number
(2) x + 1 is a prime number
Are You Up For the Challenge: 700 Level Questions
(1) p - z is an odd number, where p is a prime number
(2) x + 1 is a prime number
Are You Up For the Challenge: 700 Level Questions
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
yashikaaggarwal
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28 Dec 2020, 03:25
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(1) p - z is an odd number, where p is a prime number
Case 1: P = 2
Z = 1
No value for X and Y to determine X*Y*Z is odd or even.
Case 2: P = 3
Z = 2
Irrespective of any value for X and Y, X*Y*Z will be even.
(Insufficient)
(2) x + 1 is a prime number
X, Y, and Z are positive no., and X>Y>Z
so the minimum value of X will be 3
but 3+1 = 4 (not a prime no. and in order for X+1 to be a prime number)
X has to be even
so X*Y*Z will be even.
(Sufficient)
Answer is B
Case 1: P = 2
Z = 1
No value for X and Y to determine X*Y*Z is odd or even.
Case 2: P = 3
Z = 2
Irrespective of any value for X and Y, X*Y*Z will be even.
(Insufficient)
(2) x + 1 is a prime number
X, Y, and Z are positive no., and X>Y>Z
so the minimum value of X will be 3
but 3+1 = 4 (not a prime no. and in order for X+1 to be a prime number)
X has to be even
so X*Y*Z will be even.
(Sufficient)
Answer is B
28 Dec 2020, 07:35
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IMO B
For a product of three numbers to be odd, all the numbers should be odd
Statement1
From equation 1 we can say that Z is odd but cannot say anything about x & Y
Hence, insufficient
Statement2
Here, we can say X is even as even+odd = odd
If X is even then no matter whether z & Y are odd or even, overall multiplication will always give even result.
Hence, sufficient to answer.
For a product of three numbers to be odd, all the numbers should be odd
Statement1
From equation 1 we can say that Z is odd but cannot say anything about x & Y
Hence, insufficient
Statement2
Here, we can say X is even as even+odd = odd
If X is even then no matter whether z & Y are odd or even, overall multiplication will always give even result.
Hence, sufficient to answer.
