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10 Sep 2020, 08:17
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
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46% (01:23) correct
54%
(01:38)
wrong
based on 78
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p and q are prime numbers, what is the value of p ?
(1) p - q = 605
(2) q is a prime number less than 10
(1) p - q = 605
(2) q is a prime number less than 10
10 Sep 2020, 13:52
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Given: Prime numbers p and q
To find: The value of p
1) p-q=605
p-q = 605 is odd and p > q
Therefore, one of p or q is even and the other is odd.
Since the only even prime number is 2, q = 2 (p > q: q is the smaller one)
p - 2 = 605
p = 607
Sufficient
2) q is a prime number less than 10
q can be any of 2, 3, 5, or 7.
Accordingly, p will have four different values.
Insufficient
Correct Answer: A
To find: The value of p
1) p-q=605
p-q = 605 is odd and p > q
Therefore, one of p or q is even and the other is odd.
Since the only even prime number is 2, q = 2 (p > q: q is the smaller one)
p - 2 = 605
p = 607
Sufficient
2) q is a prime number less than 10
q can be any of 2, 3, 5, or 7.
Accordingly, p will have four different values.
Insufficient
Correct Answer: A
10 Sep 2020, 16:36
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TheUltimateWinner
\(p\) and \(q\) are prime numbers, what is the value of \(p\)?
1) p-q=605
2) q is a prime number less than 10
1) p-q=605
2) q is a prime number less than 10
Statement 1:
The difference here is an odd number, in order to have an odd result we must have \(Even - Odd\) or \(Odd - Even\). However, there is only one even prime, 2. Then we can deduct q must be 2, and p has to be 607. Sufficient.
Statement 2:
Unrelated to p, insufficient.
Ans: A
