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CAT 1997 — QA Question 51

Data SufficiencyEasy

Direction: Each of these items has a question followed by two statements, I and II. Mark the answer

1. if the question can be answered with the help of one statement alone.
2. if the question can be answered with the help of any one statement independently.
3. if the question can be answered with the help of both statements together.
4. if the question cannot be answered even with the help of both statements together.

What is the speed of the car?

I. The speed of a car is 10 (km/hr) more than that of a motorcycle.
II. The motorcycle takes 2 hr more than the car to cover 100 km.

Answer & solution

Correct answer: 3

Answer: 3

Solution

Let the speed of the motorcycle be x km/hr. Therefore, speed of the car will be (x + 10) km/hr.
From statement II, we can form the following equation.

(100(x+10))=((100x)+2)

After solving this equation, we can get the speed of the car. Hence, this question can be answered by combining both the statements.

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CAT 1997 QA Q51: Direction: Each of these items has a question followed by two statements, I and II. Mark the answer 1. if the — Solution | TheCATExam