Question

Select the statement which is the logical equivalent to the given statement.

Apple is a fruit and Rose is a flower

1. It is not true that apple is a fruit or rose is a flower
2. It is not true that apple is a fruit and rose is a flower
3. Rose is a flower or apple is a fruit
4. None of the above

Answer 1

Correct Answer - Option 1 : It is not true that apple is a fruit or rose is a flower

Given: "Apple is a fruit and Rose is a flower".

1) It is not true that apple is a fruit or rose is a flower → True (The given information means that both the statements “Apple is a fruit” and “Rose is a flower” are true at the same time. This implies that only one of the two statements being true is NOT possible. Therefore, we can say that It is not true that “Apple is a fruit” or “Rose is a flower”)

2) It is not true that apple is a fruit and rose is a flower → False (The given information means that both the statements “Apple is a fruit” and “Rose is a flower” are true at the same time. This implies that only one of the two statements being true is NOT possible.)

3) Rose is a flower or apple is a fruit → False (The given information means that both the statements “Apple is a fruit” and “Rose is a flower” are true at the same time. Hence, false).

4) None of the above → False (As the option 1 is true).

Hence, It is not true that apple is a fruit or rose is a flower is logically equivalent to the given statement.