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

##### This topic has expert replies
Moderator
Posts: 6225
Joined: 07 Sep 2017
Followed by:20 members

### 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

Legendary Member
Posts: 2061
Joined: 29 Oct 2017
Followed by:6 members

### 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

A

B

C

D

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

• Page 1 of 1