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Either day: Harry (Training for Youth Olympics, First-generation American, Soccer)
Neither day: Michelle (Training for Youth Olympics, European American, Tennis)
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Difficulty:
95%
(hard)
Question Stats:
50%
(03:32)
correct 50%
(03:30)
wrong
based on 450
sessions
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Time
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The office of Edison township mayor is organizing a two-day festival in which the city will be celebrating the spirit and talent of ten of its school-going students who have distinguished themselves in the field of sports. Five such students will be featured each day. The schedule will be arranged such that it ensures equal opportunities to students from various backgrounds. Majority of students for one of the two days will belong to minority communities - first-generation Americans, Native Americans, African Americans, or Hispanics. On the other day of the event, at least four of the students should be those undergoing training for Youth Olympics. Neither day should have more than two students who excel in the same sport. Eight of the ten students have already been decided upon. The schedule showing names, along with each student's gender, school name, and sport of interest, is listed below:
• Day 1:
Margery (Training for Youth Olympics, European American, Tennis)
Barbra (Not training for Youth Olympics, Third-generation American, Ice Hockey)
Zin (Training for Youth Olympics, First-generation American, Soccer)
Lana (Training for Youth Olympics, Hispanic, Tennis)
• Day 2:
Kimi (Training for Youth Olympics, European American, Soccer)
Rudolph (Not training for Youth Olympics, African American, Ice Hockey)
Nora (Training for Youth Olympics, European American, Badminton)
Marty (Not training for Youth Olympics, First-generation American, Badminton)
Select a student who could be added to the schedule for either day. Then select a student who could be added to the schedule for neither day. Make only two selection, one in each column.
Either day
Neither day
Student
Michelle (Training for Youth Olympics, European American, Tennis)
Ben (Training for Youth Olympics, European American, Soccer)
Frank (Not training for Youth Olympics, Native American, Ice Hockey)
Chloe (Training for Youth Olympics, European American, Badminton)
Harry (Training for Youth Olympics, First-generation American, Soccer)
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Either day: Harry (Training for Youth Olympics, First-generation American, Soccer)
Neither day: Michelle (Training for Youth Olympics, European American, Tennis)
Harry (Training for Youth Olympics, First-generation American, Soccer) could be added to Either Day since - 1. adding Harry will not make more than 2 players playing Soccer 2. adding Harry to Day 1 will satisfy the condition of having at least 4 players training for Youth Olympis in 1 day. 3. adding Harry to Day 2 will satisfy the condition of having majority minority community students
Michelle (Training for Youth Olympics, European American, Tennis) could be added to Neither Days since - 1. adding Michelle to Day 1 will break the condition of 2 players playing Tennis 2. adding Michelle to Day 2 will break the condition of having majority minority community students
Harry (Training for Youth Olympics, First-generation American, Soccer) could be added to Either Day since - 1. adding Harry will not make more than 2 players playing Soccer 2. adding Harry to Day 1 will satisfy the condition of having at least 4 players training for Youth Olympis in 1 day. 3. adding Harry to Day 2 will satisfy the condition of having majority minority community students
Michelle (Training for Youth Olympics, European American, Tennis) could be added to Neither Days since - 1. adding Michelle to Day 1 will break the condition of 2 players playing Tennis 2. adding Michelle to Day 2 will break the condition of having majority minority community students
So, the answer would be E, A
Show more
Why is Chloe not for neither day? Badminton and majority will break both days' rules.
Harry (Training for Youth Olympics, First-generation American, Soccer) could be added to Either Day since - 1. adding Harry will not make more than 2 players playing Soccer 2. adding Harry to Day 1 will satisfy the condition of having at least 4 players training for Youth Olympis in 1 day. 3. adding Harry to Day 2 will satisfy the condition of having majority minority community students
Michelle (Training for Youth Olympics, European American, Tennis) could be added to Neither Days since - 1. adding Michelle to Day 1 will break the condition of 2 players playing Tennis 2. adding Michelle to Day 2 will break the condition of having majority minority community students
So, the answer would be E, A
Why is Chloe not for neither day? Badminton and majority will break both days' rules.
Show more
Chloe can fit into the first day based on Youth Olympics criteria, but not the second day
Day A: at least 3 must be 1st gen Am.; Native Am.; Afri. Am.; or Hispanics Day B: at least 4 must be training for Olympics
No more than 2 sports on the same days
D1.........................................D2 3/4 Olympics............................2/4 Olympics Day B (at least 4 Olympics).......Day A (at least 3 minority communities) ...............................................2 EU + 1 Afr. Am. + 1 1st gen Am. 2 Tennis...................................2 Badminton
=> For Either day: 3 requirments + must be Olympics + must be from minority community + must not Tennis or Badminton
Michelle (Training for Youth Olympics, European American, Tennis) Ben (Training for Youth Olympics, European American, Soccer) Frank (Not training for Youth Olympics, Native American, Ice Hockey) Chloe (Training for Youth Olympics, European American, Badminton) Harry (Training for Youth Olympics, First-generation American, Soccer)
=> For Neither day: 2 requirements + Not training for Olympics or Tennis + Not minor comm or Badminton
Michelle (Training for Youth Olympics, European American, Tennis) Ben (Training for Youth Olympics, European American, Soccer) Frank (Not training for Youth Olympics, Native American, Ice Hockey) Chloe (Training for Youth Olympics, European American, Badminton) Harry (Training for Youth Olympics, First-generation American, Soccer)
Originally posted by cheshire on 03 Jul 2025, 15:42.
Last edited by cheshire on 03 Jul 2025, 15:42, edited 1 time in total.
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Day 1 already has 2 Tennis players (Margery and Lana). Adding a third Tennis player would violate “no more than two in the same sport,” so anyone who plays Tennis is out for Day 1.
Day 2 already has 2 Badminton players (Nora and Marty). Adding a third Badminton player would violate the same rule, so anyone who plays Badminton is out for Day 2.
Therefore, a “neither-day” candidate can be eliminated by either:
Failing the minority requirement on Day 1 or by playing Tennis, and
Failing the Youth-Olympics requirement on Day 2 or by playing Badminton.
DhanyaAbhirami
Gemmie
=> For Neither day: 2 requirements + Not training for Olympics or Tennis + Not minor comm or Badminton
Day A: at least 3 must be 1st gen Am.; Native Am.; Afri. Am.; or Hispanics Day B: at least 4 must be training for Olympics
No more than 2 sports on the same days
D1.........................................D2 3/4 Olympics............................2/4 Olympics Day B (at least 4 Olympics).......Day A (at least 3 minority communities) ...............................................2 EU + 1 Afr. Am. + 1 1st gen Am. 2 Tennis...................................2 Badminton
=> For Either day: 3 requirments + must be Olympics + must be from minority community + must not Tennis or Badminton
Michelle (Training for Youth Olympics, European American, Tennis) Ben (Training for Youth Olympics, European American, Soccer) Frank (Not training for Youth Olympics, Native American, Ice Hockey) Chloe (Training for Youth Olympics, European American, Badminton) Harry (Training for Youth Olympics, First-generation American, Soccer)
=> For Neither day: 2 requirements + Not training for Olympics or Tennis + Not minor comm or Badminton
Michelle (Training for Youth Olympics, European American, Tennis) Ben (Training for Youth Olympics, European American, Soccer) Frank (Not training for Youth Olympics, Native American, Ice Hockey) Chloe (Training for Youth Olympics, European American, Badminton) Harry (Training for Youth Olympics, First-generation American, Soccer)
The subtle caveat in this question is the only reason it is considered 805+ level.
It mentions that on one of the two days, a majority of the competitors will need to be from one of the minority communities - this could mean either day at this point. So does one more requirement mentioned in the passage - that the otherday will have at least 4 students undergoing Youth Olympics training. If you look closely at the provided schedule, you will notice that only day 1 has a chance of having at least 4 Youth Olympic trainees if one more Youth Olympic trainee is added from the set of additional students. This means that we need to utilise the minority consideration for day 2.
This means that Chloe does make the cut on day 1 since she's a Youth Olympics trainee, and she can't be rejected on day 1 for being from a majority community for the above reason. (I am specifying Chloe because I am sure many of us, including me, picked her for 'neither')
With that out of the way, the question is pretty straightforward. Michelle plays tennis, and there are already 2 tennis players on day 1. And Michelle is European American and including her on day 2 would mean that there wouldn't be a majority of minority students. Hence, Michelle can't be picked for either day.
Harry’s inclusion on Day 1 would mean four Youth Olympic trainees and only two soccer players on day 1. So, Harry can make it on day 1. Harry’s inclusion on Day 2 would mean that there will be three from minority communities and two soccer players. Therefore, Harry can make it on day 2 as well and hence, Harry can go on either day.