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If a prime number, p, is squared and the result is added to the next p
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18 May 2023, 10:41
18 May 2023, 10:41
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46% (01:22) wrong based on 15 sessions
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If a prime number, p, is squared and the result is added to the next prime number greater than p, which of the following integers could be the resulting sum?
Indicate all such integers.
A. 3
B. 4
C. 7
D. 14
E. 58
F. 60
G. 65
H. 69
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Indicate all such integers.
A. 3
B. 4
C. 7
D. 14
E. 58
F. 60
G. 65
H. 69
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) Cracking the GRE Premium
\(\Longrightarrow\) GRE Math Essentials - A most comprehensive handout!!
Re: If a prime number, p, is squared and the result is added to the next p
[#permalink]
28 May 2023, 01:57
28 May 2023, 01:57
1
Expert Reply
OE
To solve this problem, try writing out the possibilities. The least prime number is 2. (2 × 2) + 3 = 7; so (C) is correct. The next prime number is 3: (3 × 3) + 5 = 14, so (D) is correct. The next prime number is 5: (5 × 5) + 7 = 32, which is not an answer choice. The next prime number is 7: (7 × 7) + 11 = 60, so (F) is correct. The next prime number is 11: (11 × 11) + 13 = 134, which is a greater value than the answer choice possibilities. The correct answer is (C), (D), and (F).
To solve this problem, try writing out the possibilities. The least prime number is 2. (2 × 2) + 3 = 7; so (C) is correct. The next prime number is 3: (3 × 3) + 5 = 14, so (D) is correct. The next prime number is 5: (5 × 5) + 7 = 32, which is not an answer choice. The next prime number is 7: (7 × 7) + 11 = 60, so (F) is correct. The next prime number is 11: (11 × 11) + 13 = 134, which is a greater value than the answer choice possibilities. The correct answer is (C), (D), and (F).
gmatclubot
Re: If a prime number, p, is squared and the result is added to the next p [#permalink]
28 May 2023, 01:57
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