Students of Grades 8th to 11th are putting up a two-day music festival

Question

Data Insights (DI) Butler 2024

Students of Grades 8th to 11th are putting up a two-day music festival as a part of the farewell programme for Grade 12th. Certain rules that have been laid out for the organizing committee are:

1.  Five musical performances will be given each day.
 2.  The majority of the performances on the first day will be composed of any of the four string instruments, namely, Guitar, Banjo, Sitar, and Mandolin.
 3.  The second day will mainly feature solo performances.
4. On any given day, there will not be more than one performance by any grades except the 11th grade, the seniormost class performing.

Four of the five performances on each day have been finalized as under and the fifth performance has to be selected from the remaining performances given in the options.

Day 1 
-Sita and Ariel (10th Grade, Sitar Duo)
-Jazz (8th Grade, Saxophone Trio)
-Borris and Chris (11th Grade, Banjo Duo)
-Donald (11th Grade, Mandolin Solo)

Day 2 
-Layla (8th Grade, Guitar Solo)
-Jay (11th Grade, Vocal Solo)
-Mariyam and Fatima (10th Grade, Flute Duo)
-Caroline and Romil (9th Grade, Woodwind Duo)

The music department must add one additional performance on each day.

Based on the rules above, identify a performance for (I) A performance that can be scheduled on either day and for (II) A performance that cannot be scheduled on either day, select one in each column.

Akkiiii · Answer

Can somebody please explain?

chetan2u · Answer

Day 1 
-Sita and Ariel (10th Grade, Sitar Duo)
-Jazz (8th Grade, Saxophone Trio)
-Borris and Chris (11th Grade, Banjo Duo)
-Donald (11th Grade, Mandolin Solo)
  It should meet the criteria given in 1, 2 and 4.  
 Criteria met :
A. Fifth to be added,
B. Criteria 2 met.  Hence, the musical equipment could be any 
C. 8th, 10th and 11th grade students giving performance.  Hence, the 5th performance can be by 9th or 11th

Day 2 
-Layla (8th Grade, Guitar Solo)
-Jay (11th Grade, Vocal Solo)
-Mariyam and Fatima (10th Grade, Flute Duo)
-Caroline and Romil (9th Grade, Woodwind Duo)
  It should meet the criteria given in 1, 3 and 4.  
 Criteria met :
A. Fifth to be added,
B. Criteria 3 not met.  Hence, the performance has to be Solo. 
C. 8th, 9th, 10th and 11th grade students giving performance.  Hence, the 5th performance has to be from Grade 11th

Let us look at criteria met and select the option:
 On any Day : Solo is possible on both days and can be only from 11th grade. Hence,  Arpita (11th Grade, Violin Solo) 
 On neither Day : Cannot be from 8th or 10th. Hence,  Jack (8th Grade, Mandolin Solo)

Other options:-
Sanya (9th Grade, Flute Solo): Can be on Day 1, but not Day 2.
Terrence (9th Grade, Violin Solo): Can be on Day 1, but not Day 2.
Samuel and Joe (11th Grade, Flute Duo): Can be on Day 1, but not Day 2.
Hina and Eva (11th Grade, Violin Duo): Can be on Day 1, but not Day 2.

Gemmie · Answer

I (A performance that can be scheduled on either day): Arpita (11th Grade, Violin Solo)
II (A performance that cannot be scheduled on either day): Jack (8th Grade, Mandolin Solo)

For Day 1:

1.1.  Majority (at least 3/5) must be string (Guitar, Banjo, Sitar, and Mandolin)
 
There are already 3 string performances
=> This requirement is already satisfied
 
1.2.  Except Grade 11, other Grade only has at most 1 performance each
 
There are already performances from Grade 8 and 10
=> No more 8 and 10
 => The remaining must be 9 or 11

For Day 2

2.1.  The second day will mainly feature solo performance => At least 3/5 must be solo
 
Currently, there are only 2 solos 
 => The remaining must be solo 
 
2.2.  Except Grade 11, other Grade only has at most 1 performance each
 
There are already performances from Grade 8, 9 and 10
=> No more 8, 9 and 10
 => The remaining must be 11

From the above analysis,
 
 I must be solo and grade 11 => Arpita  
 II must be grade 8 or 10 (grade 9 may still fit in Day 1) => Jack

bumpbot · Answer

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Students of Grades 8th to 11th are putting up a two-day music festival

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I	II
		Sanya (9th Grade, Flute Solo)
		Arpita (11th Grade, Violin Solo)
		Terrence (9th Grade, Violin Solo)
		Samuel and Joe (11th Grade, Flute Duo)
		Hina and Eva (11th Grade, Violin Duo)
		Jack (8th Grade, Mandolin Solo)

GMAT Two-part Analysis (TPA) Questions

Students of Grades 8th to 11th are putting up a two-day music festival

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