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02 Feb 2019, 21:31
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
44% (01:27) correct
56%
(01:17)
wrong
based on 335
sessions
History
Date
Time
Result
Not Attempted Yet
Find the value \(0.4232323…\).. as a quotient of two numbers
A) \(\frac{423}{990}\)
B) \(\frac{423}{1000}\)
C) \(\frac{423}{999}\)
D) \(\frac{419}{999}\)
E) \(\frac{419}{990}\)
A) \(\frac{423}{990}\)
B) \(\frac{423}{1000}\)
C) \(\frac{423}{999}\)
D) \(\frac{419}{999}\)
E) \(\frac{419}{990}\)
03 Feb 2019, 00:09
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4d
Let, \(x = 0.4232323…\)
i.e. \(10x = 4 +0.232323…\)
Let, \(a = 0.232323...\)
i.e. \(100a = 23+0.232323...\)
i.e. \(100a = 23+a\)
i.e. \(99a = 23\)
i.e. \(a = \frac{23}{99}\)
i.e. \(10x = 4 +\frac{23}{99}\)
i.e. \(x = \frac{(423-4)}{990} = = \frac{419}{990}\)
Answer: Option E
General Discussion
12 Feb 2019, 21:36
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4d
My reasoning:
\(0.4232323... = (4.23232323...) * 10^{-1}\)
Continuing on:
\((4 + 0.23232323) * 10^{-1}\)
A prime number divided by 9 is that number repeating hence: \(0.232323.. = \frac{23}{99}\)
\(\frac{4}{10} + \frac{23}{990}\)
= \(\frac{419}{990}\)
