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18 Jul 2018, 21:14
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A
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Difficulty:
25%
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Question Stats:
79% (01:54) correct
21%
(01:56)
wrong
based on 229
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If x is equal to 49.5 percent of 11/23 of 0.996, then
A. 0.20 < x < 0.25
B. 0.25 < x < 0.30
C. 0.30 < x < 0.35
D. 0.35 < x < 0.40
E. 0.40 < x < 0.45
A. 0.20 < x < 0.25
B. 0.25 < x < 0.30
C. 0.30 < x < 0.35
D. 0.35 < x < 0.40
E. 0.40 < x < 0.45
18 Jul 2018, 21:24
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11/23 = <0.5
0.996 = ~1
11/23 × 0.996 = <0.5
<0.5× 49.5/100 = <0.25
Answer: A
Posted from my mobile device
0.996 = ~1
11/23 × 0.996 = <0.5
<0.5× 49.5/100 = <0.25
Answer: A
Posted from my mobile device
18 Jul 2018, 23:14
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Bunuel
The first step is to convert the percentages to fractions - 49.5% = \(\frac{49.50}{100} = \frac{99}{200}\)
Approximations are the best way to go with these type of questions - \(0.996\)(is nearly \(1\))
\(49.5\) percent of \(\frac{11}{23}\) is \(\frac{99}{200} * \frac{11}{23}\)
Since we need the range, \(\frac{99}{200}\) is between \(\frac{23*4(92)}{200}\) and \(\frac{23*5(105)}{200}\)
Lower range - \(\frac{92}{200}*\frac{11}{23} = \frac{4}{200}*1 = 0.20\) | Higher range - \(\frac{105}{200}*\frac{11}{23} = \frac{5}{200}*1 = 0.25\)
Therefore, the range of x is always between 0.2 and 0.25(Option A)
