Free Practice Question
PS · Problem Solving
sub-505
Number Properties
If y is a prime number greater than 3, which of the following could also be a prime number?
Answer Choices
Correct answer marked belowA
B
C
Correct
E
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Explanation
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Official Explanation
Official
If y is a prime number greater than 3, we analyze the options.
(A) is the square of a prime number, which cannot be prime since it has more than two factors.
(B) Since all prime numbers greater than 2 are odd, dividing y by 2 results in a non-integer.
(C) A prime y can only have factors of itself and 1; for instance, if y is 5, then , which is not prime.…
(A) is the square of a prime number, which cannot be prime since it has more than two factors.
(B) Since all prime numbers greater than 2 are odd, dividing y by 2 results in a non-integer.
(C) A prime y can only have factors of itself and 1; for instance, if y is 5, then , which is not prime.…
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Comments
4
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H
HuseynJan 1, 2025
good question
H
HarshApr 18, 2025
thank you for sharing
G
GauravSep 30
What if y was 17 which is a prime number and 17-2 is 15 which is not in that case even d is incorrect ?
M
MacroOct 4
TANVI, the question is asking which one COULD be. So if y=5 then you find 3=5-2 another primer number
What this question tests
What it tests
Your command of divisibility, primes, factors, parity, and how the GMAT tests properties of integers.
Common trap
Forgetting that 1 is not prime, that 0 is divisible by every integer, or that negative numbers flip your assumptions.
Details
Difficulty
sub-505
Type
PS
Category