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In the question one statement is given, followed by two conclusions, I and II. You have to consider the statement to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statement. Statement: A function is a relation between a set of input elements and a set of possible output elements where each input is related to exactly one output. Conclusion I: Every input element is related to every output element. Conclusion II: Every input element is related to one element of the output.

In the question one statement is given, followed by two conclusions, I and II. You have to consider the statement to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statement. Statement: A function is a relation between a set of input elements and a set of possible output elements where each input is related to exactly one output. Conclusion I: Every input element is related to every output element. Conclusion II: Every input element is related to one element of the output. Correct Answer Only conclusion II follows

Given statement: A function is a relation between a set of input elements and a set of possible output elements where each input is related to exactly one output.
Conclusions:
I. Every input element is related to every output element → as mentioned in the statement, each element of the input is related to exactly one output and not every element of the output. Hence, this conclusion is false.
II. Every input element is related to one element of the output → it is true as each element of the input is related to only one element of the output.

Hence, only conclusion II follows.

Related Questions

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