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'.
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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