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If x and y are distinct prime numbers less than ten, what must be true

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Bunuel
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If x and y are distinct prime numbers less than ten, what must be true [#permalink] New post   12 Apr 2016, 02:20
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If x and y are distinct prime numbers less than ten, what must be true about the product of x and y?

A. xy is even
B. xy is odd
C. xy < 0
D. xy < 36
E. xy > 6
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D
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OptimusPrepJanielle
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Re: If x and y are distinct prime numbers less than ten, what must be true [#permalink] New post   12 Apr 2016, 03:36
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Bunuel wrote:
If x and y are distinct prime numbers less than ten, what must be true about the product of x and y?

A. xy is even
B. xy is odd
C. xy < 0
D. xy < 36
E. xy > 6


Prime numbers less than 10 = 2, 3, 5, 7. x and y can take any oth the values

On checking the options
A. xy is even
xy can be even or odd both
B. xy is odd
xy can be even or odd both
C. xy < 0
Product of two prime numbers can never be < 0
Prime numbers are always positive
D. xy < 36
The maximum value of multiplicaiton can be 5*7 = 35.
Hence this is true always
E. xy > 6
x = 2, y = 3
In this case, xy = 6. FLASE

Correct Option: D
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Re: If x and y are distinct prime numbers less than ten, what must be true [#permalink] New post   08 Aug 2020, 13:07
Prime numbers less than 10 = {2,3,5,7}

A. xy is not always even.
eg: 2*3 = 6 --- even
But, 3*5 = 16 --- odd

B. xy is not always odd
eg: 2*3 = 6 --- even
But, 3*5 = 16 --- odd

C. Prime numbers are always positive
=> Product of two positive numbers is always positive

D. Maximum product of xy = 5*7 = 35
=> xy < 36 --- True

E. xy can be greater than 6 or equal to 6
eg: 2*3 = 6
But, 3*5 = 15

Answer: D
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Re: If x and y are distinct prime numbers less than ten, what must be true [#permalink] New post   17 Sep 2021, 07:55
What is distinct prime numbers and prime numbers different?
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gmatclubot
Re: If x and y are distinct prime numbers less than ten, what must be true [#permalink]
17 Sep 2021, 07:55
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