The product P of two prime numbers is between 9 and 55.

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Source: GMAT Paper Tests

The product P of two prime numbers is between 9 and 55. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then P =

A. 15
B. 33
C. 34
D. 46
E. 51

The OA is E

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by Brent@GMATPrepNow » Tue Feb 12, 2019 3:53 pm
BTGmoderatorLU wrote:Source: GMAT Paper Tests

The product P of two prime numbers is between 9 and 55. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then P =

A. 15
B. 33
C. 34
D. 46
E. 51

The OA is E
Prime numbers that are greater than 2 but less than 6: 3, 5
Prime numbers that are greater than 13 but less than 25: 17, 19, 23

Scan the answer choices . . .
E) 51 = 3 x 17
PERFECT!

Answer: E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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by Scott@TargetTestPrep » Fri Feb 15, 2019 5:14 pm
BTGmoderatorLU wrote:Source: GMAT Paper Tests

The product P of two prime numbers is between 9 and 55. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then P =

A. 15
B. 33
C. 34
D. 46
E. 51

The OA is E
The primes greater than 2 but less than 6 are 3 and 5.

The primes greater than 13 but less than 25 are 17, 19, and 23.

Thus, we see that P could only be 3 x 17 = 51. Increasing either factor in this product would result in a product that is greater than 55.

Answer: E

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