bySayantani Barman Experta en el extranjero
Question: Which of the following is closet to \(\frac{4}{2.001}\)?
- 1.997
- 1.998
- 1.999
- 2.000
- 2.001
Answer:
Approach Solution (1):
\(\frac{4}{2.001}=\frac{4}{2+0.001}=\frac{4(2-0.001)}{(2+0.001)(2-0.001)}=\frac{4(2-0.001)}{4-0.001^2}\)
Now, since \(0.001^2\) is very small number then \(4-0.001^2\) is very close to 4 itself, so \(0.001^2\) is basically negligible in this case and we can write:
\(\frac{4(2-0.001)}{4-0.001^2}\approx\frac{4(2-0.001)}{4}=2-0.001=1.999\)
Correct option: C
Approach Solution (2):
To make this calculation easier let’s round down 2.001 to 2.
Then it will be \(\frac{4}{2}=2\)
But, we know that the larger the denominator, the smaller is the number.
Comparing: \(\frac{4}{2.001}\) is a little bit smaller than \(\frac{4}{2}\)
This way, the answer choice has to be a little bit smaller than 2
The answer will be 1.999
Correct option: C
“Which of the following is closet to \(\frac{4}{2.001}\)?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.
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