Let be the statement '' and be the statement ''. Which of the following is correct? (Here is a real number.)
Answer and explanation
Correct answer: C. is a necessary but not a sufficient condition for
- Step 1: means , i.e. . Every such has , so .
- Step 2: But has while , so .
Answer
is a necessary but not a sufficient condition for .
Why not the others: is necessary for since lies inside , but it is not sufficient because of the negative values.
Practise more Necessary and sufficient conditions.
Free questions with an explanation for every one, and full timed TMUA mock tests.
More Necessary and sufficient conditions questions
- Let be the statement '' and be the statement ''. Which of the following is correct? (Here is a real number.)
- Let be the statement ' is divisible by 3' and be the statement ' is divisible by 6'. Which of the following is correct? (Here…
- Let be the statement '' and be the statement ''. Which of the following is correct? (Here is a real number.)
- Let be the statement '' and be the statement ' or '. Which of the following is correct? (Here and are…
- Let be the statement '' and be the statement ''. Which of the following is correct? (Here is a real…
- Let be the statement ' is an integer' and be the statement ' is an integer'. Which of the following is correct? (Here is…