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GMAT Club Olympics 2024 (Day 6): Andrea, Christiane, Demi, Iris

1 2 3 4 5

kanikaa9

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02 Sep 2024, 00:40

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The question stem is not framed correctly and its rather confusing.

carbonex8010

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09 Sep 2024, 02:37

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D must perform if Z is performing. This is not the other way around. If Z is not performing, D can perform but D has to perform if Z is performing.

anirchat

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19 Mar 2025, 10:15

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I still think the question is ill-framed. If Demi has performed, I believe either of Iris or Zozibini has performed as per the language.
So the answer should be 4,4.

HarshavardhanR

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20 Mar 2025, 19:50

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Hey!

My two cents: The question is correctly framed. Let me try to explain why!

Example to understand the logic here

-> If D performs, then P must perform.

Observe: This does not mean that P cannot perform otherwise. It is possible that P performs even when D does not perform.

In reality,
- If D performs, then P must perform
- If D does not perform, we do not know. P may/may not perform. We cannot assume that P will perform only if D performs.

Similarly ->

-> If I or Z perform, then D must perform.

Observe: This does not mean that if neither I nor Z perform, then D will not perform. It is possible that D performs even when neither I nor Z perform.

In reality,
- If I or Z perform, then D must perform.
- If Neither I nor Z perform, we do not know. D may or may not perform.

In other words, just because D performs, we cannot say that I or Z have performed. We cannot assume that D will perform only in the situation where either I or Z perform.

Hope this made some sense.

---
Harsha

anirchat

I still think the question is ill-framed. If Demi has performed, I believe either of Iris or Zozibini has performed as per the language.
So the answer should be 4,4.

SanchitSanjay

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14 May 2025, 18:35

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Bunuel

Andrea, Christiane, Demi, Iris, Paulina, and Zozibini are six contestants in a reality TV show. On a special two-hour episode, some of these contestants will perform. Andrea must perform if either Christiane or Paulina performs. Paulina must perform if Demi performs. Demi must perform if either Iris or Zozibini performs. There are no other restrictions.

Select Demi performs for the minimum number of contestants who must perform in the special two-hour episode if the episode includes Demi’s performance and select Zozibini performs for the minimum number of contestants who must perform in the special two-hour episode if the episode includes Zozibini’s performance.

This question was provided by Experts' Global
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Experts' Global Explanation:

I.
Paulina must perform if Demi performs.
Andrea must perform if Paulina performs.
There are no other conditions specified that necessarily require any other contestant to perform.
Thus, the minimum number of contestants who must perform in the special two-hour episode if the episode includes Demi’s performance is 3 (Demi, Paulina, and Andrea).

II.
Demi must perform if Zozibini performs.
Paulina must perform if Demi performs.
Andrea must perform if Paulina performs.
There are no other conditions specified that necessarily require any other contestant to perform.
Thus, the minimum number of contestants who must perform in the special two-hour episode, if the episode includes Zozibini’s performance is 4 (Zozibini, Demi, Paulina, and Andrea).

Hence, for “Demi performs” column, “3”, and for “Zozibini performs” column, “4” is the correct combination of the answer choices.

arunbhati

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21 Jun 2026, 00:34

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Hi Sir,

In first part, it is mentiond that Demi must perform if either Iris or Zozibini performs

So in first blank why 4 not occurs iris/zozibini, Demi, Paulina and Andrea

Bunuel

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22 Jun 2026, 23:52

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Hi arunbhati,

I can see exactly where this is coming from. You're reading the rule "Demi must perform if either Iris or Zozibini performs" and concluding that whenever Demi is on, Iris or Zozibini must have been on too. That's the one spot to fix.

The rule only runs one way

"Demi must perform if Iris or Zozibini performs" tells you what happens when Iris or Zozibini is in. It does not say the reverse. Demi is allowed to perform on her own - the rule never requires a trigger behind her.

Think of the arrow direction:

- Iris or Zozibini → Demi (given)
- It does not follow that Demi → Iris or Zozibini

So for the Demi performs column, you start with Demi already in, and you only follow the arrows that point forward from her:

- Demi → Paulina must perform
- Paulina → Andrea must perform

That's it. Nobody forces Iris or Zozibini to join, so the minimum is Demi, Paulina, Andrea = 3, not 4.

The reason the Zozibini performs column gives 4 is that there you're given Zozibini, and her arrow does point to Demi: Zozibini → Demi → Paulina → Andrea. The extra person comes from the trigger being named for you - which doesn't happen in the Demi column.

Quick check to lock it in

Take the rule "Paulina must perform if Demi performs" (Demi → Paulina).

- If you're told Paulina performs, does Demi have to be in? No - Paulina could be there for another reason.
- If you're told Demi performs, does Paulina have to be in? Yes.

Same logic with Demi and her triggers: knowing Demi is in tells you nothing about Iris or Zozibini. The arrow simply doesn't run backward.

Answer: Column 1 = 3; Column 2 = 4

arunbhati

Hi Sir,

In first part, it is mentiond that Demi must perform if either Iris or Zozibini performs

So in first blank why 4 not occurs iris/zozibini, Demi, Paulina and Andrea

Vivek1707

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28 Jun 2026, 05:54

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*** Remember "must" is a trigger word for necessary conditions ( if x ---> Y then y is a necessary condition and x is the sufficient condition)

So the conditions in the form of if x ---> y are :

If C or P ---> A
If D ----> P
If I or Z ---> D

Part 1: Question is simply asking you if Demi performs than how many total number of people perform.

We know if D ---> P and if P --> A hence 3 people including Demi

Part 2 : Similarly

If Z ---> D and if D ---> P and if P ---> A
So total of 4 people

Hence answer is 3 and 4