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25 Jun 2018, 05:59
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
89% (00:58) correct
11%
(01:28)
wrong
based on 2968
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Date
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Which of the following is closest to \(\sqrt{\frac{4.2(1,590)}{15.7}}\)?
A. 20
B. 40
C. 60
D. 80
E. 100
(PS10470)
A. 20
B. 40
C. 60
D. 80
E. 100
(PS10470)
25 Jun 2018, 06:09
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Solution
To find:
• The value closest to the expression \(\sqrt{\frac{4.2(1,590)}{15.7}}\)
Approach and Working:
As we are trying to find out the closest value, we can approximate the given terms as follows:
- • 4.2 ~ 4
• 1590 ~ 1600
• 15.7 ~ 16
Therefore, we can rewrite the expression as \(\sqrt{\frac{4(1,600)}{16}}\) = \(\sqrt{4 * 100}\) = 20
Hence, the correct answer is option A.
Answer: A
25 Jun 2018, 06:09
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Bunuel
Which of the following is closest to \(\sqrt{\frac{4.2(1,590)}{15.7}}\)?
A. 20
B. 40
C. 60
D. 80
E. 100
A. 20
B. 40
C. 60
D. 80
E. 100
ALWAYS check the answer choices before solving the question!
When we do so, we see that the answer choices are VERY spread apart, which means we can save a ton of time by being super aggressive with our approximations (aka rounding)
So, we get: \(\sqrt{\frac{4.2(1,590)}{15.7}} ≈ \sqrt{\frac{4(1,600)}{16}}\)
\(≈ \sqrt{4(100)}\)
\(≈ \sqrt{400}\)
\(≈ 20\)
Answer: A
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