CAT 2001QA Question 55

Basics of CirclesEasy
Passage / Data

Answer the following question based on the information given below.

The petrol consumption rate of a new model car 'Palto' depends on its speed and may be described by the graph below

Choose 1; if the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.
Choose 2; if the question can be answered by using either statement alone.
Choose 3; if the question can be answered by using both statements together, but cannot be answered using either statement alone.
Choose 4; if the question cannot be answered even by using both statements together.

A square is inscribed in a circle. What is the difference between the area of the circle and that of the square?

  1. The diameter of the circle is 25 cm.
  2. The side of the square is 25 cm.

Answer & solution

  • A

    1

  • 2

  • C

    3

  • D

    4

Solution

Using statement A alone:

∵ Diameter of the circle = Diagonal of the square

∴ Area of the square can be computed and thus the required difference.

∴ Statement A alone is sufficient to answer the question.

Using statement B alone:

∵ Diagonal of the square = × side = Diameter of the circle

∴ Area of the circle can be computed and thus the required difference.

∴ Statement B alone is also sufficient to answer the question.

∴ We can answer the question using either statement alone.

Hence, option (b).

CAT 2001 QA Q55: Choose 1 ; if the question can be answered by using one of the statements alone, but cannot be answered using — Solution | TheCATExam