CAT 1996 | Question: 179

Question

In each question, you are given certain data followed by two statements. For answering the questions:

Mark a, if both the statements together are insufficient to answer the question.

Mark b, if any one of the two statements is sufficient to answer the question.

Mark c, if each statement alone is sufficient to answer the question.

Mark d, if both the statements together are sufficient to answer the question, but neither statement alone is sufficient.

A tractor travelled a distance of $5$ m. What is the radius of the rear wheel?

1. The front wheel rotates “N” times more than the rear wheel over this distance.

2. The circumference of the rear wheel is “t” times that of the front wheel.

• A. if both the statements together are insufficient to answer the question.
• B. if any one of the two statements is sufficient to answer the question.
• C. if each statement alone is sufficient to answer the question.
• D. if both the statements together are sufficient to answer the question, but neither statement alone is sufficient.

Answer 1

To find the radius of the rear wheel, we need to know the numerical value of its circumference. 

From statement I, we get the relation between the circumferences of the two wheels in terms of N.

From statement II, we get similar information in terms of 't'.

Thus, the required radius can't be determined even after using both the statements.

Hence option A is correct.