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Direction: Each of the following questions is followed by two Statements.
Q. Is b positive?
i. a + b is positive.
ii. a ~ b is positive.
  • a)
    if Statement I alone is sufficient to answer the question
  • b)
    if Statement II alone is sufficient to answer the question
  • c)
    if both statements I and II together are necessary to answer the question
  • d)
    if either tire Statement I alone or Statement II alone is sufficient to answer the question
  • e)
    if both statements I and II together are not. sufficient to answer the question
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
Direction: Each of the following questions is followed by two Stateme...
From Statement I, b can be either negative or positive. Also, from Statement II, b can be either negative or positive, so Statements 3 and II cannot be combined.
Hence, we cannot find out the answer.
This question is part of UPSC exam. View all JEE courses
Most Upvoted Answer
Direction: Each of the following questions is followed by two Stateme...
Question:
Is b positive?

Statements:
i. a b is positive.
ii. a ~ b is positive.

Answer:
The answer is option E, if both statements I and II together are not sufficient to answer the question.

Explanation:
We need to determine whether b is positive or not. Let's analyze the given statements individually.

Statement I: a b is positive
This statement only tells us that the difference between a and b is positive, but we cannot determine the sign of b from this information alone. For example, if a = 5 and b = 2, then a b is positive, but b is negative. Hence, Statement I alone is not sufficient to answer the question.

Statement II: a ~ b is positive
The symbol ~ represents the absolute value of a number. Hence, this statement tells us that the absolute value of the difference between a and b is positive. But again, we cannot determine the sign of b from this information alone. For example, if a = 5 and b = -2, then a ~ b is positive, but b is negative. Hence, Statement II alone is not sufficient to answer the question.

Combined Statements:
From Statement I and II, we know that the difference between a and b is positive, and the absolute value of the difference between a and b is positive. But we still cannot determine the sign of b from this information alone. For example, if a = 5 and b = -2 or a = -5 and b = -8, both statements would still hold true. Hence, both statements together are not sufficient to answer the question.

Conclusion:
Therefore, the answer is option E, if both statements I and II together are not sufficient to answer the question.
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Direction: Each of the following questions is followed by two Statements.Q. Is b positive?i. a + b is positive.ii. a ~ b is positive.a)if Statement I alone is sufficient to answer the questionb)if Statement II alone is sufficient to answer the questionc)if both statements I and II together are necessary to answer the questiond)if either tire Statement I alone or Statement II alone is sufficient to answer the questione)if both statements I and II together are not. sufficient to answer the questionCorrect answer is option 'E'. Can you explain this answer?
Question Description
Direction: Each of the following questions is followed by two Statements.Q. Is b positive?i. a + b is positive.ii. a ~ b is positive.a)if Statement I alone is sufficient to answer the questionb)if Statement II alone is sufficient to answer the questionc)if both statements I and II together are necessary to answer the questiond)if either tire Statement I alone or Statement II alone is sufficient to answer the questione)if both statements I and II together are not. sufficient to answer the questionCorrect answer is option 'E'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Direction: Each of the following questions is followed by two Statements.Q. Is b positive?i. a + b is positive.ii. a ~ b is positive.a)if Statement I alone is sufficient to answer the questionb)if Statement II alone is sufficient to answer the questionc)if both statements I and II together are necessary to answer the questiond)if either tire Statement I alone or Statement II alone is sufficient to answer the questione)if both statements I and II together are not. sufficient to answer the questionCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: Each of the following questions is followed by two Statements.Q. Is b positive?i. a + b is positive.ii. a ~ b is positive.a)if Statement I alone is sufficient to answer the questionb)if Statement II alone is sufficient to answer the questionc)if both statements I and II together are necessary to answer the questiond)if either tire Statement I alone or Statement II alone is sufficient to answer the questione)if both statements I and II together are not. sufficient to answer the questionCorrect answer is option 'E'. Can you explain this answer?.
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