Question

    In the given question, a set of conclusions is given. There are five options comprising of three or more statements. You need to choose the option that contains the set of statements from which the given conclusions logically follow.

    Some mats are rollers. No wheel may be belt. Some cars

    may not be wheels.
    A All belts are rollers. All rollers are wheels. Some wheels are mats. No mats is a car. Correct Answer Incorrect Answer
    B No mats is a car. All belts are rollers. Some rollers are wheels. Some wheels are mats Correct Answer Incorrect Answer
    C Some rollers are wheels. All wheels are mats. No belt is a roller. All mats are cars. Correct Answer Incorrect Answer
    D Some belts are rollers. No roller is a wheel. All wheels are mats. Some mats are cars. Correct Answer Incorrect Answer
    E Both 1st and 3rd. Correct Answer Incorrect Answer

    Solution

    Some rollers are wheels (I) + All wheels are mats (A) ⇒ Some rollers are mats (I) ⇒ Conversion ⇒ Some mats are rollers (I). No belt is a rollers (E) + Some rollers are wheels (I) ⇒ Some wheels are not belts (O*) ⇒ [Probable conclusion] ⇒ No wheel may be belt (E). All wheels are mats (A) + All mats are cars (A) ⇒ All wheels are cars (A) ⇒ Conversion ⇒ Some cars are wheels (I) ⇒ [Probable conclusion] ⇒ Some cars may not be wheels (O). Hence, option 3 is correct.
    By elimination method - By 1, All + All = +ve. Hence it is eliminated. By 2, some + some = no definite conclusion can be drawn. Hence it is eliminated. By 4, No + All = -ve, Hence it is eliminated. Hence answer is option 3.

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