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07 Mar 2023, 02:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
68% (01:26) correct
32%
(01:45)
wrong
based on 69
sessions
History
Date
Time
Result
Not Attempted Yet
What is the value of s?
(1) \(\frac{1}{s} = \frac{1}{(s+25)} + \frac{1}{(s+1)}\)
(2) -1/5 is not a reciprocal of s
(1) \(\frac{1}{s} = \frac{1}{(s+25)} + \frac{1}{(s+1)}\)
(2) -1/5 is not a reciprocal of s
14 Apr 2023, 23:40
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Bunuel
What is the value of s?
(1) \(\frac{1}{s} = \frac{1}{(s+25)} + \frac{1}{(s+1)}\)
(2) -1/5 is not a reciprocal of s
Solution: (1) \(\frac{1}{s} = \frac{1}{(s+25)} + \frac{1}{(s+1)}\)
(2) -1/5 is not a reciprocal of s
Pre Analysis:
- We are asked the value of \(s\)
Statement 1: \(\frac{1}{s} = \frac{1}{(s+25)} + \frac{1}{(s+1)}\)
- \(⇒\frac{1}{s} =\frac{s+1+s+25}{(s+1)(s+25)}\)
- So, the value of s can be either 5 or -5
- Thus, statement 1 alone is not sufficient and we can eliminate options A and D
\(⇒(s+1)(s+25)=s(2s+26)\)
\(⇒s^2+25s+s+25=2s^2+26s\)
\(⇒s^2=25\)
Statement 2: -1/5 is not a reciprocal of s
- According to this statement, \(\frac{-1}{5}≠\frac{1}{s}\) or \(s≠-5\)
- However, we do not get the value of s
- Thus, statement 2 alone is also not sufficient
Combining:
- Statement 1: \(s=5\) or \(s=-5\)
- Statement 2: \(s≠-5\)
- Upon combining, we can say \(s=5\)
Hence the right answer is Option C
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