GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
f, g, and h are consecutive prime numbers such that f < g
[#permalink]
22 Oct 2016, 10:24
22 Oct 2016, 10:24
1
Expert Reply
1
Bookmarks
00:00
Question Stats:
70% (00:41) correct
29% (00:45) wrong based on 179 sessions
Hide Show timer Statistics
f, g, and h are consecutive prime numbers such that f < g < h.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
f + g + h |
3g |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Drill 2
Question: 6
Page: 287
Question: 6
Page: 287
Re: f, g, and h are consecutive prime numbers such that f < g
[#permalink]
22 Oct 2016, 10:25
22 Oct 2016, 10:25
1
Expert Reply
Explanation
The intervals between consecutive prime numbers does not follow a consistent, predictable pattern. Prove it by Plugging In: Try f = 2, g = 3, and h = 5. Now f + g + h = 10 and 3g = 9.
Quantity A is greater; eliminate choices (B) and (C). Now try f = 7, g = 11, and h = 13. This time, f + g + h = 31, and 3g = 33. Quantity B is now greater. Eliminate choice A, and you’re left with choice D.
The intervals between consecutive prime numbers does not follow a consistent, predictable pattern. Prove it by Plugging In: Try f = 2, g = 3, and h = 5. Now f + g + h = 10 and 3g = 9.
Quantity A is greater; eliminate choices (B) and (C). Now try f = 7, g = 11, and h = 13. This time, f + g + h = 31, and 3g = 33. Quantity B is now greater. Eliminate choice A, and you’re left with choice D.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
f, g, and h are consecutive prime numbers such that f < g
[#permalink]
23 Apr 2019, 05:56
23 Apr 2019, 05:56
1
sandy wrote:
f, g, and h are consecutive prime numbers such that f < g < h.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
f + g + h |
3g |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Drill 2
Question: 6
Page: 287
Question: 6
Page: 287
Let's test some possible values of f, g, and h
Case i: f = 2, g = 3 and h = 5
We get:
QUANTITY A: f + g + h = 2 + 3 + 5 = 10
QUANTITY B: 3g = 3(3) = 9
In this case, Quantity A is greater
Case ii: f = 3, g = 5 and h = 7
We get:
QUANTITY A: f + g + h = 3 + 5 + 7 = 15
QUANTITY B: 3g = 3(5) = 15
In this case, the two quantities are equal
Answer: D
RELATED VIDEO
