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
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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