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At a certain carnival booth, contestants spin a number-wheel containin
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Bunuel
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At a certain carnival booth, contestants spin a number-wheel containin [#permalink] New post  30 Jan 2015, 06:20
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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


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TudorM
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Re: At a certain carnival booth, contestants spin a number-wheel containin [#permalink] New post  30 Jan 2015, 08:58
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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
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LaxAvenger
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Joined: 18 Aug 2014
Posts: 108
Location: Hong Kong
Schools: Mannheim
Re: At a certain carnival booth, contestants spin a number-wheel containin [#permalink] New post  01 Feb 2015, 05:56
I also come up with D)

but if it is correct, it does not seem like a 600+ question to me ...
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Bunuel
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Re: At a certain carnival booth, contestants spin a number-wheel containin [#permalink] New post  02 Feb 2015, 03:19
Expert Reply
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


VERITAS PREP OFFICIAL SOLUTION:

The correct response is (D).

If the contestant won 31 prizes, and 31 is prime, then it’s possible he/she landed on 31. However, 7 less than 31 is 24, which is non-prime. It’s also possible the contestant landed on 24, a non-prime number, and so won 24 + 7 = 31 prizes.

It it not possible for the contestant to have landed on 38 and walked away with 31 prizes, since landing on 38 (a non-prime) would mean the contestant won 45 prizes.
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DS: DS Standard deviation | Inequalities | 700+ GMAT Data Sufficiency Questions With Explanations | Tough and tricky exponents and roots questions | The Discreet Charm of the DS | Devil's Dozen!!! | Number Properties set | New DS set
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kaulatul
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Re: At a certain carnival booth, contestants spin a number-wheel containin [#permalink] New post  12 Apr 2015, 19:39
I got D, but is the question of 600+ level
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Re: At a certain carnival booth, contestants spin a number-wheel containin [#permalink] New post  17 Jun 2018, 18:51
Expert Reply
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


Since 31 is prime, they could have landed on 31 to win 31 prizes. Since 24 is not prime and 24 + 7 = 31, they could have landed on 24 to win 31 prizes also. If they had landed on 38, then, since 38 is not prime, they would’ve won 38 + 7 = 45 numbers; thus, they couldn’t have landed on 38.

Answer: D
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