Multiple choice

Nobody who wanted to buy tickets to the benefit concert had ever seen the Carnatic musician performance. Because of high demand, only people who had never seen the Carnatic musician performance were able to buy tickets for the benefit concert. So everyone who wanted to buy a ticket to the concert was able to

In order for this argument to be logically correct, it must also be true that

  1. The people planning the concert wanted to give the Carnatic musician exposure to a new audience.

  2. The concert was held in a hall large enough to accommodate the demand.

  3. Everyone who wanted to buy a ticket dd not believe in the cause for which the benefit concert was held.

  4. Everyone who wanted to buy a ticket believed in the cause for which the benefit concert was held.

  5. None of these

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The if/then statement condenses several conditional statements. Symbolically: if A (people wanted tickets), then B (they’d never seen the musician perform); if B, then C (they were able to buy tickets). Thus, if A, then C. Since the contrapositive of an if/then statement is true, if not C (they weren’t able to buy tickets), then A (they didn’t want them). Hence, (4).