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09 May 2025, 00:31
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
53% (01:51) correct
47%
(01:59)
wrong
based on 117
sessions
History
Date
Time
Result
Not Attempted Yet
At a certain baseball game attended by 2,000 people, 800 people like eating popcorn, and 300 people like eating both popcorn and peanuts. At most, how many people like eating peanuts?
(1) At least 700 people do not like eating popcorn or peanuts.
(2) At least 1,200 people do not like eating peanuts.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
(1) At least 700 people do not like eating popcorn or peanuts.
(2) At least 1,200 people do not like eating peanuts.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
10 May 2025, 05:53
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Can someone please explain how D is the answer.
Thank you.
Thank you.
10 May 2025, 09:37
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At a certain baseball game attended by 2,000 people, 800 people like eating popcorn, and 300 people like eating both popcorn and peanuts. At most, how many people like eating peanuts?
Let Peanuts = N and Popcorn=C
People who don’t eat Peanuts= Not N= 800-300=500
......................N.............Not N.....................Total
C.................. 300 ......... (500) ................... 800
Not C .......... —— .......... —— .................... (1200)
Total ........... —— .......... —— ....................... 2000
(1) At least 700 people do not like eating popcorn or peanuts.
We are asked to find maximum number of people who eat Peanuts(N), so we take the least possible people.
......................N.............Not N.....................Total
C.................. 300 ......... (500) ................... 800
Not C .......... (500) .......... 700 .................... (1200)
Total ........... (800) .......... —— ....................... 2000
At most, 800 people like eating Peanuts.
Sufficient
(2) At least 1,200 people do not like eating peanuts.
......................N.............Not N.....................Total
C.................. 300 ......... 500 ................... 800
Not C .......... (500) .......... (700) ............... 1200
Total ........... 800 .......... 1200....................... 2000
Sufficient
Answer: D
Let Peanuts = N and Popcorn=C
People who don’t eat Peanuts= Not N= 800-300=500
......................N.............Not N.....................Total
C.................. 300 ......... (500) ................... 800
Not C .......... —— .......... —— .................... (1200)
Total ........... —— .......... —— ....................... 2000
(1) At least 700 people do not like eating popcorn or peanuts.
We are asked to find maximum number of people who eat Peanuts(N), so we take the least possible people.
......................N.............Not N.....................Total
C.................. 300 ......... (500) ................... 800
Not C .......... (500) .......... 700 .................... (1200)
Total ........... (800) .......... —— ....................... 2000
At most, 800 people like eating Peanuts.
Sufficient
(2) At least 1,200 people do not like eating peanuts.
......................N.............Not N.....................Total
C.................. 300 ......... 500 ................... 800
Not C .......... (500) .......... (700) ............... 1200
Total ........... 800 .......... 1200....................... 2000
Sufficient
Answer: D
