pq < 70, where both P and Q are distinct odd primes. Determine PQ.
Statement (1): PQ is one greater than a power of two.
Statement (2): The sum of the digits of PQ is a prime number.
OA C
Source: Veritas Prep
pq < 70, where both P and Q are distinct odd primes. Determine PQ. Statement
This topic has expert replies

 Moderator
 Posts: 6128
 Joined: 07 Sep 2017
 Followed by:20 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
From 1BTGmoderatorDC wrote: ↑Tue Oct 26, 2021 7:30 pmpq < 70, where both P and Q are distinct odd primes. Determine PQ.
Statement (1): PQ is one greater than a power of two.
Statement (2): The sum of the digits of PQ is a prime number.
OA C
Source: Veritas Prep
\(PQ=32+1=33=3*11\)
\(PQ=64+1=65=5*13\)
Not Sufficient. \(\Large{\color{red}\chi}\)
From 2
\(PQ=65\)
\(PQ=41\)
Not sufficient. \(\Large{\color{red}\chi}\)
1 and 2 Combined
\(PQ=65=64+1=5*13\) and \(6+5=11\) a prime. Sufficient \(\Large{\color{green}\checkmark}\)
Therefore, C