To get the free dessert, one must order an entree and a salad. But anyone who orders either an entree or a salad can ...

Gabriela on September 10 at 02:48AM

Difference between C and E.

I was about to pick C but I felt E had the same logical reasoning but more claim to being the correct answer since it is also about food items bought in pairs. Please explain.

1 Reply

Irina on September 10 at 05:26PM


This a method of reasoning question, meaning it is more important to focus on the structure of the argument rather than its substance. Hence, an answer choice using similar context, e.g. food items bought in pairs, is usually a red herring. But let's look at the structure of the argument and compare it to (C) and (E).

The argument says to get a free desert (A), one must order entree (B) and a salad (C).

A -> B & C.

But anyone who orders entree (B) or a salad (C), can receive a free drink (D).

B v C -> D

We can infer that if one cannot get a free drink, it is because they either did not order a salad or an entree.

~D -> ~ (B & C)

Thus anyone who is not eligible for free drink (D) is not eligible for desert (A).

~D -> ~ A

Let's compare it to (C):

To grow azaleas (A), one needs soil rich in humus (B) and low in acidity (C)

A- > B &C

Anyone who has soil rich in humus (B) or low in acidity (C) can grow blueberries (D)
B v C -> D

~ D -> ~(B&C)

So anyone who cannot grow blueberries(D) cannot grow azaleas (A).

~D -> ~A

As we can see, (C) is identical to the stimulus.

Let's look at (E):

To get a discount on ice cream (A), one must buy frozen raspberries and ice cream together (B & C)

A -> B &C

Anyone who buys ice cream (C) or raspberries (B) will get a coupon (D)

B v C - > D

So anyone who does not get a discount (A) will not get a coupon (D)

~A -> ~D

This is a flawed argument, and the conclusion is reversed compared to the stimulus, hence we can eliminate (E) as the correct answer.

Let me know if you have any further questions.