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CAT 2003 Slot 1 — QA Question 21

Number TheoryEasy

Each question is followed by two statements, A and B. Answer each question using the following instructions

Choose 1 if the question can be answered by using one of the statements alone but not by using the other statement alone.
Choose 2 if the question can be answered by using either of the statements alone.
Choose 3 if the question can be answered by using both statements together but not by either statement alone.
Choose 4 if the question cannot be answered on the basis of the two statements.

Is a44 < b11, given that a = 2 and b is an integer?

  1. b is even
  2. b is greater than 16

Answer & solution

Correct answer: 1

  • 1

  • B

    2

  • C

    3

  • D

    4

Solution

a44 < b11

But, a = 2

∴ a44 = 244

∴ a44 = 1611

Using statement 1 alone:

b is an even integer. It may be less than or greater than 16.

So, we cannot answer the question using statement 1 alone.

Using statement 2 alone:

b is greater than 16.

∴ b11 > 1611

∴ b11 > a44

So, we can answer the question using statement 2 alone.

Hence, option (a).

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CAT 2003 Slot 1 QA Q21: Each question is followed by two statements, A and B. Answer each question using the following instructions Ch — Solution | TheCATExam