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p is a prime number greater than 2.
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31 Aug 2020, 10:17
31 Aug 2020, 10:17
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p is a prime number greater than 2.
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.
Quantity A |
Quantity B |
The number of distinct prime factors of 27p |
The number of distinct prime factors of 49p |
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.
Re: p is a prime number greater than 2.
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31 Aug 2020, 10:17
31 Aug 2020, 10:17
1
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
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p is a prime number greater than 2.
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31 Aug 2020, 14:15
31 Aug 2020, 14:15
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Carcass wrote:
p is a prime number greater than 2.
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.
Quantity A |
Quantity B |
The number of distinct prime factors of 27p |
The number of distinct prime factors of 49p |
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.
First recognize that 27 = (3)(3)(3)
And 49 = (7)(7)
Let's test some possible values of p
case i: If p = 5, we get:
Quantity A: 27p = (3)(3)(3)(5). So, 27p has 2 distinct prime factors (3 and 5)
Quantity B: 49p = (7)(7)(5). So, 49p has 2 distinct prime factors (7 and 5)
In this case, Quantity A = Quantity B
case ii: If p = 7, we get:
Quantity A: 27p = (3)(3)(3)(7). So, 27p has 2 distinct prime factors (3 and 7)
Quantity B: 49p = (7)(7)(7). So, 49p has 1 distinct prime factor (7)
In this case, Quantity A is greater
Answer: D
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