## pq < 70, where both P and Q are distinct odd primes. Determine PQ. Statement

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### pq < 70, where both P and Q are distinct odd primes. Determine PQ. Statement

by BTGmoderatorDC » Tue Oct 26, 2021 7:30 pm

00:00

A

B

C

D

E

## Global Stats

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

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### Re: pq < 70, where both P and Q are distinct odd primes. Determine PQ. Statement

by swerve » Wed Oct 27, 2021 8:09 am

00:00

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C

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E

## Global Stats

BTGmoderatorDC wrote:
Tue Oct 26, 2021 7:30 pm
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
From 1
$$PQ=32+1=33=3*11$$
$$PQ=64+1=65=5*13$$
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

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