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Question:

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?

b is even
b is greater than 16

Explanation:

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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