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CAT 1991 — QA Question 56

Data SufficiencyEasy

Each of these items has a question followed by two statements. As the answer,

Type 1, If the question can be answered with the help of statement I alone,
Type 2, If the question can be answered with the help of statement II alone,
Type 3, If both the statement I and statement II are needed to answer the question, and
Type 4, If the question cannot be answered even with the help of both the statements.

What is the radius of the circle?

  1. Ratio of its area to circumference is > 7.
  2. Diameter of the circle is ≤ 32.

Answer & solution

Correct answer: 4

  • A

    1

  • B

    2

  • C

    3

  • 4

Solution

Let the radius of the circle be r.

From statement I : πr2/2πr > 7

⇒ r > 14 ...(i)

From statement II : 2r ≤ 32

⇒ r ≤ 16 ...(ii)

Combining (i) and (ii) 14 < r ≤ 16

So r cannot be uniquely determined.

Hence, 4.

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CAT 1991 QA Q56: Each of these items has a question followed by two statements. As the answer, Type 1, If the question can be a — Solution | TheCATExam