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f, g, and h are consecutive prime numbers such that f < g
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22 Oct 2016, 10:24
22 Oct 2016, 10:24
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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
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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.
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f, g, and h are consecutive prime numbers such that f < g
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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
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