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23 May 2020, 07:36
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
68% (01:19) correct
32%
(01:09)
wrong
based on 595
sessions
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If integer p is a factor of 42, is p a prime number?
(1) p > 6
(2) p < 21
DS21228
(1) p > 6
(2) p < 21
DS21228
23 May 2020, 07:45
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Bunuel
If integer p is a factor of 42, is p a prime number?
(1) p > 6
(2) p < 21
DS21228
Given: Integer p is a factor of 42 (1) p > 6
(2) p < 21
DS21228
The positive factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
Target question: Is p a prime number?
Statement 1: p > 6
So, p can equal any of the following values: 7, 14, 21, 42
If n = 7, the answer to the target question is YES, p is prime
If n = 14, the answer to the target question is NO, p is not prime
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: p < 21
So, p can equal any of the following values: 1, 2, 3, 6, 7, 14
If n = 7, the answer to the target question is YES, p is prime
If n = 14, the answer to the target question is NO, p is not prime
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
We can already see that n = 7 and n = 14 satisfy BOTH statements. In other words:
If n = 7, the answer to the target question is YES, p is prime
If n = 14, the answer to the target question is NO, p is not prime
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
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23 May 2020, 22:52
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Bunuel
If integer p is a factor of 42, is p a prime number?
(1) p > 6
(2) p < 21
DS21228
(1) p > 6
(2) p < 21
DS21228
Factors of 42: 1,2, 3, 6, 7, 14, 21, 42. Total of 8 factors.
Statement 1: p > 6
The factors > 6 are 7, 14, 21, 42.
p could be any one of the mentioned factors. Thus we cannot determine the value of p with certainty.
=> We cannot say whether p is prime or not.
So Insufficient.
Statement 2: p < 21
Again it could be any factor : 1, 2, 3, 6, 7, 14.
We cannot calculate the specific value of p.
=> We cannot say whether p is prime or not.
So Insufficient.
Statement 1 + Statement 2: 6 < p < 21.
=> the factors that fall in this range are: 7, 14.
One is prime and one is not.
So we cannot say with certainty whether p is prime or not.
So the 2 statements together are also Insufficient.
Answer E.
