Question: If X>0, which of the following must be true?
- 1 < x
- 0 < x < 2
- -1 < x < 1
- -10 < x
- 1/100
Correct Answer: D
Solution and Explanation
Approach Solution 1:
This model answer has only 1 approach to solve the question
All we know is that x is some certain number. Immediately we can see that D should be valid. In the event, x is positive, the facts must confirm that it's more prominent than -10 . Still how about we actually take a look at every choice.
- 1 < x
We don't know whether the number is more prominent than 1 , it may very well be a positive number not exactly or equivalent to 1 . Therefore, this option is not correct.
- 0 < x < 2
Similarly here, we don't know whether the number is exactly less than 2 , it very well may be more than or equivalent to 2. Therefore, this option is not correct.
- -1 < x < 1
Equivalent to A, as we can see that in statement 1, number is greater than 1 or it may be a positive number not exactly or equivalent to 1. Therefore, this option is also not valid.
- -10 < x
Since, x is greater than 0, it’s greater than -10.
- 1/100 < x
We don't know whether the number is more prominent than 1/100, it very well may be a positive number not exactly or equivalent to 1/100. Therefore, this option is also not valid.
Therefore, the correct answer is D.
“If X>0, which of the following must be true?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book "The Official Guide for GMAT Quantitative Review". To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. GMAT Quant practice papers improve the mathematical knowledge of the candidates as it represents multiple sorts of quantitative problems.
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