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CAT 1999 — QA Question 56

Data SufficiencyEasy

Directions: Each question is followed by two statements I and II. Mark:
1. if the question can be answered by any one of the statements alone, but cannot be answered by using the other statement alone.
2. if the question can be answered by using either statement alone.
3. if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
4. if the question cannot be answered even by using both the statements together.

What is the distance x between two cities A and B in integral number of kilometres?
I. x satisfies the equation log2x=x
II. x ≤ 10 km

Answer & solution

Correct answer: 3

  • A

    1

  • B

    2

  • 3

  • D

    4

Solution

Statement I: Given that x satisfies the equation,

log2x=x∴x=2x
This equation is satisfied by the values x = 4 and 16.
Hence, statement I alone is not sufficient.
Statement II: Nothing concrete can be concluded from the fact that x ≤ 10 km.
Hence, statement II alone is not sufficient.
Combining statements I and II, we get a unique value of x = 4 km.

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CAT 1999 QA Q56: Directions: Each question is followed by two statements I and II. Mark: 1. if the question can be answered by — Solution | TheCATExam