If X>0, Which of the Following Must Be True? GMAT Problem Solving

Question: If X>0, which of the following must be true?

  1. 1 < x
  2. 0 < x < 2
  3. -1 < x < 1
  4. -10 < x
  5. 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. 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.

  1. 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. -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.

  1. -10 < x

Since, x is greater than 0, it’s greater than -10.

  1. 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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