Hello Bunuel, I gave it a try:
CORRECT ANSWER D. I and II only
Since we have only a few possibilites, then we don't need to list all prime numbers and do any division but only plug in the numbers
The contestant won 31 prizes, which is fixed.
I. is of course true as 31 is prime and for a prime number he would won the same number of prizes
II. is also true as for a non prime number such as 24 he would win 7 prizes more: 24+7 = 31
III. is not true as 38+7 =45 which is not the number of prizes that the contestant won
So the CORRECT ANSWER is D. I and II only
Bunuel wrote:
At a certain carnival booth, contestants spin a number-wheel containing positive, two-digit numbers. If they land on a prime number, they win that number of prizes. If they land on a non-prime number, they win 7 more prizes than the number. If a contestant won 31 prizes, which of the following could have been the number the contestant landed on?
I. 31
II. 24
III. 38
A. I only
B. II only
C. III only
D. I and II only
E. I, II and III
Kudos for a correct solution.
The OA will be revealed on Sunday