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a is a prime number
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07 Aug 2020, 09:18
07 Aug 2020, 09:18
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52% (01:34) correct
47% (01:31) wrong based on 136 sessions
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a is a prime number
b is a positive factor of \(a − 1\)
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given
Kudos for the right solution and explanation
b is a positive factor of \(a − 1\)
Quantity A |
Quantity B |
\(a^2\) |
The product of b and the least non-prime integer greater than a |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given
Kudos for the right solution and explanation
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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: a is a prime number
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07 Aug 2020, 13:34
07 Aug 2020, 13:34
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Carcass wrote:
a is a prime number
b is a positive factor of \(a − 1\)
b is a positive factor of \(a − 1\)
Quantity A |
Quantity B |
\(a^2\) |
The product of b and the least non-prime integer greater than a |
This question has quite a few moving pieces.
Since the question involves prime numbers, I'll start by testing a = 2, since the GRE loves to test the fact that 2 is the only even prime number.
case i: a = 2, which means a - 1 = 2 - 1 = 1
Since b is a positive factor of a − 1, we now know that b is a positive factor of 1.
So, b MUST equal 1
We get:
QUANTITY A: a² = 2² = 4
QUANTITY B: The product of b and the least non-prime integer greater than a = (1)(4) = 4
In this case, the two quantities are equal
case ii: a = 7, which means a - 1 = 7 - 1 = 6
Since b is a positive factor of a − 1, we now know that b is a positive factor of 6.
So, b COULD equal 6
We get:
QUANTITY A: a² = 7² = 49
QUANTITY B: The product of b and the least non-prime integer greater than a = (6)(8) = 48
In this case, Quantity A is greater
Answer: D
Cheers,
Brent
Re: a is a prime number
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14 Sep 2024, 20:31
14 Sep 2024, 20:31
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
