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Updated on: 04 Jul 2019, 01:57
Originally posted by Bunuel on 02 Jun 2017, 20:18.
Last edited by Sajjad1994 on 04 Jul 2019, 01:57, edited 1 time in total.
Last edited by Sajjad1994 on 04 Jul 2019, 01:57, edited 1 time in total.
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A
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If x and y are both prime and greater than 2, then which of the following CANNOT be a divisor of xy?
(A) 2
(B) 3
(C) 11
(D) 15
(E) 17
(A) 2
(B) 3
(C) 11
(D) 15
(E) 17
Source: Nova GMAT
Difficulty Level: 500
Difficulty Level: 500
02 Jun 2017, 21:24
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All prime numbers greater than 2 are odd. So whenever we multiply any two such numbers, we are basically multiplying two odd integers.
Product of odd integers is always odd, and can therefore, NEVER be divisible by 2.
Hence A answer
3 is possible (3*5), 11 is possible (11*3), 15 is possible (3*5), 17 is possible (17*3)
Product of odd integers is always odd, and can therefore, NEVER be divisible by 2.
Hence A answer
3 is possible (3*5), 11 is possible (11*3), 15 is possible (3*5), 17 is possible (17*3)
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02 Jun 2017, 22:03
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Bunuel
If x and y are both prime and greater than 2, then which of the following CANNOT be a divisor of xy?
(A) 2
(B) 3
(C) 11
(D) 15
(E) 17
(A) 2
(B) 3
(C) 11
(D) 15
(E) 17
Given x and y are prime numbers greater than 2. All prime numbers greater than 2 are odd numbers.
Applying the even and odd number properties, odd number divided by an even number is not an integer. Hence 2 cannot be a divisor of xy.
Answer A...
