Direction: Each question below is followed by two Statements I and II....
Statement 1 alone is not sufficient to answer, since there is no information about y.
Also, Statement 2 is not sufficient.
e.g. Take x = 1 and y = 2. Here, x < y and 1/x < 1/y
But if we take an another example, x = 1, y = 2
Then, x < y and 1/x > 1/y
On combining Statements I and II together implies that x and y are botli greater than 1 and for two positive numbers x and y, we know that. If .vis less than y, then 1/x is greater than 1/y.Solution:
To determine whether 1/x is greater than something, we need to know the values of both x and y.
Statement I: x is greater than 1.
Statement II: x is less than y.
Let's analyze each statement separately:
Statement I alone: x is greater than 1.
- This statement provides information about the value of x but doesn't mention anything about y.
- We cannot determine the relationship between 1/x and y solely based on this statement.
Statement II alone: x is less than y.
- This statement provides information about the relationship between x and y but doesn't mention anything about the specific value of x.
- We cannot determine the relationship between 1/x and y solely based on this statement.
Both statements together:
- Combining both statements, we know that x is greater than 1 and x is less than y.
- This implies that y is greater than x, but we still don't have enough information to determine the relationship between 1/x and y.
Therefore, both statements together are not sufficient to answer the question.
The correct answer is C: We cannot get the answer from the Statements I and II together but need even more data.
View all questions of this test
Direction: Each question below is followed by two Statements I and II....
Question Analysis:
The question asks whether 1/x is greater than something or not. We need to find the value of x to answer this question.
Statement Analysis:
Statement I: x is greater than 1.
Statement II: x is less than y.
To solve this question, we need to consider both the statements together.
Answer:
Option (c) is correct. Both Statements I and II together are needed to answer the question.
Explanation:
Let's analyze each statement individually.
Statement I: x is greater than 1.
This statement gives us information about the value of x. We know that x is greater than 1. However, we cannot determine whether 1/x is greater than something or not from this statement alone.
Statement II: x is less than y.
This statement gives us another piece of information about the relation between x and y. However, we cannot determine the value of x from this statement alone.
Now, let's consider both statements together.
If x is greater than 1 and less than y, we can say that 1/x is less than 1/1 (which is 1). Therefore, 1/x is less than something.
On the other hand, if x is greater than y, we cannot determine the value of 1/x. Therefore, we need both statements together to answer the question.
Conclusion:
To answer the question, we need to consider both statements together. Therefore, the correct option is (c).
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.