Question: Birthday Clown: At any party where I perform, my costume consists of two pieces of attire: a tweed jacket and suspenders. One piece of the costume is monochromatic, but the other is mixed and consists of either two or three colors. If the jacket is monochrome, the suspenders have exactly two colors. If the suspenders are monochrome, then the jacket has exactly three colors. I always make sure that the jacket and the suspenders share exactly one color.
Which of the following must be true, on the basis of the statements above?
A) The costume must not contain exactly four colors.
B) The costume must not contain exactly three colors.
C) The costume must not contain exactly two colors.
D) The tweed jacket must be monochromatic.
E) The suspenders must be monochromatic.
Correct Answer: A
Explanation:
You are evaluated on your analytical and critical thinking abilities in the critical reasoning component of the GMAT. A person needs to have high cognitive abilities to respond clearly.
To reach a decision, each option must be critically examined. Of the five options provided, only one will be accurate. The candidate must evaluate many factors to make the best decision.
The suspenders and jacket are exactly the same color.
Case A: Suspenders have precisely two colors (M,Y) if the jacket is monochromatic (M).
- Two colors all make up the costume.
Case B: If the suspenders are one color (M), and the jacket is exactly three colors (M, X, and Y), then the costume has three colors in total.
Let’s check the given choices -
A: Correct
It is the correct choice. Think about how the comments made by the clown make sense in this inference question. One of the two outfits is only one colour. The other article of clothing contains one or two more colours in addition to that colour and shares it. The optimal response option is (A) because the costume as a whole must contain either two or three distinct colors.
B: Incorrect
It is the wrong choice. It belongs to case B given in the above example.
C: Incorrect
It is an incorrect answer. It is wrong because it belongs to choice A.
D: Incorrect
It is an incorrect answer. False, not necessarily true (Additionally, Option is illogical because it conflicts with the problem description.)
E: Incorrect
It is an incorrect choice. False, not necessarily true (Additionally, Option is illogical because it conflicts with the problem description.)
Summing up all that we learned,
There are two options. ,
Suspenders come in two colors and one for the jacket.
Suspenders in one colour, jacket in three hues,
precisely 1 colour is the same.
The alternatives are: suspenders 1 (same color) + jacket 1 (different color) = 2 colors.
Suspenders 1 + Jacket 1 (same color) + 2 (different colors) = 3 colors.
D and E are unimportant.
Option A alone is incorrect since 2 or 3 can exist but 4 cannot.
“Birthday Clown: At any party where I perform, my costume consists of” – is a GMAT Critical question. To answer the question, a candidate can either find a piece of evidence that would weaken the argument or have logical flaws in the argument. GMAT critical reasoning tests the logical and analytical skills of the candidates. This topic requires candidates to find the argument's strengths and weaknesses or the logical flaw in the argument. The GMAT CR section contains 10 -13 GMAT critical reasoning questions out of 36 GMAT verbal questions.
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