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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)
    Statement 1 alone is sufficient to answer the question

  • b)
    Statement II alone is sufficient to answer the question

  • c)
    Both Statements 1 and 2 together are necessary to answer the question

  • d)
    Either Statement I alone or Statement 2 alone is sufficient to answer the question

  • e)
    Both Statements I and 2 together are not sufficient to answer the question

Correct answer is option 'E'. Can you explain this answer?
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Direction: Each of the following questions is followed by two Statemen...
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Direction: Each of the following questions is followed by two Statemen...
Solution:

Given, Q. Is b positive?

Statement 1: a b is positive.
Statement 2: a ~ b is positive.

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

Statement 1 alone:
We are given that a b is positive. We don't know anything about a or the relationship between a and b. So, we cannot determine whether b is positive or not based on this statement alone.

Statement 2 alone:
We are given that a ~ b is positive. Again, we don't know anything about a or the relationship between a and b. So, we cannot determine whether b is positive or not based on this statement alone.

Statements 1 and 2 together:
Combining both statements, we still don't know anything about a or the relationship between a and b. So, we cannot determine whether b is positive or not based on both statements together.

Hence, both Statements I and 2 together are not sufficient to answer the question.

Therefore, the correct answer is option 'E'.
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Direction: Each of the following questions is followed by two Statemen...
Solution:

Given question: Is b positive?

Statement 1: a b is positive.
Statement 2: a ~ b is positive.

To answer the given question, we need to find if b is positive or not. Let's analyze both the statements one by one:

Statement 1: a b is positive.
This statement only tells us that the sum of a and b is positive. However, we cannot determine if b is positive or negative from this statement alone.

Statement 2: a ~ b is positive.
This statement tells us that the difference between a and b is positive. Again, we cannot determine if b is positive or negative from this statement alone.

Combining both the statements:
From both the statements, we know that the sum of a and b is positive and the difference between a and b is positive. However, we still cannot determine if b is positive or negative. For example, if a = 5 and b = -2, then the sum of a and b is positive and the difference between a and b is positive, but b is negative. Hence, both statements together are not sufficient to answer the given question.

Therefore, the correct answer is option (E) Both Statements I and 2 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)Statement 1 alone is sufficient to answer the questionb)Statement II alone is sufficient to answer the questionc)Both Statements 1 and 2 together are necessary to answer the questiond)Either Statement I alone or Statement 2 alone is sufficient to answer the questione)Both Statements I and 2 together are not sufficient to answer the questionCorrect answer is option 'E'. Can you explain this answer?
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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)Statement 1 alone is sufficient to answer the questionb)Statement II alone is sufficient to answer the questionc)Both Statements 1 and 2 together are necessary to answer the questiond)Either Statement I alone or Statement 2 alone is sufficient to answer the questione)Both Statements I and 2 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)Statement 1 alone is sufficient to answer the questionb)Statement II alone is sufficient to answer the questionc)Both Statements 1 and 2 together are necessary to answer the questiond)Either Statement I alone or Statement 2 alone is sufficient to answer the questione)Both Statements I and 2 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)Statement 1 alone is sufficient to answer the questionb)Statement II alone is sufficient to answer the questionc)Both Statements 1 and 2 together are necessary to answer the questiond)Either Statement I alone or Statement 2 alone is sufficient to answer the questione)Both Statements I and 2 together are not sufficient to answer the questionCorrect answer is option 'E'. Can you explain this answer?.
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