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Question
Of three persons, two take relish, two take pepper, and two take salt. The one who takes no salt takes no pepper, and the one who takes no pepper takes no relish. Which of the following statements must be true?
I. The person who takes no salt also takes no relish.
II. Any of the three persons who takes pepper also takes relish and salt.
III. The person who takes no relish is not one of those who takes salt.
Answer Choices
- A.I only
- B.II only
- C.III only
- D.I and II only
- E.I, II, and III
Steps
| Explanation | Calculations | Help |
|---|---|---|
We first name the person who takes no salt as . | Theory & Tactics Method Card TRANS1-A Click to view full details | |
We translate "the one who takes no salt takes no pepper" and "the one who takes no pepper takes no relish" into mathematical form. | Theory & Tactics Method Card TRANS1-B Click to view full details | |
We note that "two take pepper", and because counts must be whole numbers, the other two persons must take pepper. Similarly, since exactly two take salt and two take relish, those same persons take both salt and relish. | Theory & Tactics Method Card TRANS4-B Click to view full details |
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Final Answer
E
Question
Of three persons, two take relish, two take pepper, and two take salt. The one who takes no salt takes no pepper, and the one who takes no pepper takes no relish. Which of the following statements must be true?
I. The person who takes no salt also takes no relish.
II. Any of the three persons who takes pepper also takes relish and salt.
III. The person who takes no relish is not one of those who takes salt.
Answer Choices
- A.I only
- B.II only
- C.III only
- D.I and II only
- E.I, II, and III
Steps
| Explanation | Calculations | Help |
|---|---|---|
We first name the person who takes no salt as . | Theory & Tactics Method Card TRANS1-A Click to view full details | |
We translate "the one who takes no salt takes no pepper" and "the one who takes no pepper takes no relish" into mathematical form. | Theory & Tactics Method Card TRANS1-B Click to view full details | |
We note that "two take pepper", and because counts must be whole numbers, the other two persons must take pepper. Similarly, since exactly two take salt and two take relish, those same persons take both salt and relish. | Theory & Tactics Method Card TRANS4-B Click to view full details |
Scroll horizontally to view all columns
Final Answer
E