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12 Jun 2023, 01:30
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D
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:
92% (00:55) correct
8%
(01:47)
wrong
based on 192
sessions
History
Date
Time
Result
Not Attempted Yet
Given that p = 996, which of the following best approximates the value of p/(3p−1) ?
A. 1/8
B. 1/6
C. 1/4
D. 1/3
E. 1/2
A. 1/8
B. 1/6
C. 1/4
D. 1/3
E. 1/2
12 Jun 2023, 01:51
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p/(3p - 1) = 996/(3*996 - 1) = 996/(2988 - 1) = 996/2987
996 ÷ 2987 ≈ 0.3331
Therefore, the value of p/(3p - 1) approximately equals 0.3331.
Among the given options:
A. 1/8 is smaller than 0.3331, so it is not the best approximation.
B. 1/6 is smaller than 0.3331, so it is not the best approximation.
C. 1/4 is smaller than 0.3331, so it is not the best approximation.
D. 1/3 is equal to 0.3333, which is a close approximation to 0.3331.
E. 1/2 is larger than 0.3331, so it is not the best approximation.
Therefore, the answer is option [D].
996 ÷ 2987 ≈ 0.3331
Therefore, the value of p/(3p - 1) approximately equals 0.3331.
Among the given options:
A. 1/8 is smaller than 0.3331, so it is not the best approximation.
B. 1/6 is smaller than 0.3331, so it is not the best approximation.
C. 1/4 is smaller than 0.3331, so it is not the best approximation.
D. 1/3 is equal to 0.3333, which is a close approximation to 0.3331.
E. 1/2 is larger than 0.3331, so it is not the best approximation.
Therefore, the answer is option [D].
12 Jun 2023, 08:53
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Bunuel
996 ~ 1000
Thus, \(\frac{p}{(3p−1)} = \frac{1000}{(3000 - 1)}\) ~ \(\frac{1000}{3000} = \frac{1}{3}\), Answer must undoubtedly be (D)
