31 of the scientists that attended a certain workshop were Wolf Prize

Question

31 of the scientists that attended a certain workshop were Wolf Prize laureates, and 13 of these 31 were also Nobel Prize laureates. Of the scientists that attended that workshop and had not received the Wolf prize, the number of scientists that had received the Nobel Prize was 3 greater than the number of scientists that had not received the Nobel Prize. If 50 of the scientists attended that workshop, how many of them were Nobel Prize laureates?

(A) 11
(B) 18
(C) 24
(D) 29
(D) 36

Are You Up For the Challenge: 700 Level Questions

(A) 11
(B) 18
(C) 24
(D) 29
(D) 36

Are You Up For the Challenge: 700 Level Questions

Archit3110 · Answer

2x2 matrix

---noble--n noble---total
Wo--13----18-------31
nwo--3+x---x-------19
total--16+x--18+x---50
solve for x= 8
so noble winners = 16+8 ; 24
IMO C

GMATWhizTeam · Answer

Solution: 
 • Total attendee = 50
 o 31 attendees were wolf prize laureates.
 Out of 31, 13 were noble prize laureates.  
To find the total number of Noble Prize winner, we need to find the number of scientists who had not received wolf prize but had received the noble prize
  o Number of attendees, who had not received wolf prize =  50- 31 = 19 
  Received noble prize but not wolf prize + Received neither noble prize nor wolf prize =  19 
 Received noble prize but not wolf prize + Received noble prize but not wolf prize -3 =  19 
 Received noble prize but not wolf prize =  \frac{22}{2} = 11   
• Total receiver of Noble Prize =  13 + 11 = 24  
Hence, the correct answer is  Option C.

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31 of the scientists that attended a certain workshop were Wolf Prize

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31 of the scientists that attended a certain workshop were Wolf Prize

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