Two men, Anil and David, and two women, Shabnam and Rekha are in a sales group. Only two speak Tamil. The other two speak Marathi. Only one man and one woman can drive a car. Shabnam speaks Marathi. Anil speaks Tamil. Both Rekha and David can drive.
Which of the following statements is true?
Correct Answer :
One of those who can drive a car speaks Tamil.
Solution :
The correct option is: "One of those who can drive a car speaks Tamil."
Let's analyze the given information step-by-step to understand why this statement is true:
1. The People: There are four people in the sales group: two men (Anil and David) and two women (Shabnam and Rekha).
2. Languages Spoken: Exactly two people speak Tamil, and the other two speak Marathi.
3. Driving Ability: Exactly one man and one woman can drive a car.
4. Drivers Identified: We are told that "Both Rekha and David can drive." Since Rekha is a woman and David is a man, these are the only two drivers in the group (one man and one woman). Therefore, Anil and Shabnam cannot drive.
5. Languages Identified:
- Shabnam speaks Marathi.
- Anil speaks Tamil.
6. Deducing the Languages for the Drivers (David and Rekha):
- We know there are two Tamil speakers and two Marathi speakers in total.
- Since Shabnam (Marathi speaker) and Anil (Tamil speaker) account for one speaker of each language, the remaining two people (David and Rekha) must consist of one Tamil speaker and one Marathi speaker.
- This means that between David and Rekha, one speaks Tamil and the other speaks Marathi.
7. Evaluating the Statement:
- The two people who can drive are David and Rekha.
- Since one of them speaks Tamil and the other speaks Marathi, it is logically certain that exactly one of the drivers speaks Tamil.
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