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
Answer: A
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).