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12 Mar 2018, 04:26
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B
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:
69% (01:27) correct
31%
(01:26)
wrong
based on 208
sessions
History
Date
Time
Result
Not Attempted Yet
What is the arithmetic mean of 3x and 4y?
(1) y/6 - x/8 = 2/3
(2) y/6 + x/8 = 5/3
(1) y/6 - x/8 = 2/3
(2) y/6 + x/8 = 5/3
12 Mar 2018, 06:30
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amanvermagmat
Question : (3x+4y)/2 = ?
Statement 1: y/6 - x/8 = 2/3
Since there is -ve sign in the given equation therefore 3x+4y can't be calculated using this statement Hence
NOT SUFFICIENT
Statement 2: y/6 + x/8 = 5/3
i.e. (4y+3x)/24 = 5/3
i.e. (3x+4y) can be calculated hence
SUFFICIENT
Answer: option B
19 Mar 2018, 12:15
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SOLUTION
We are given:
- • Two numbers, \(3x\) and \(4y\).
We need to find:
- • Arithmetic mean of \(3x\) and \(4y\).
- o Thus, we need to find the value of \(\frac{(3x + 4y)}{2}\).
Let us analyze both the statements one by one.
Statement-1: \(\frac{y}{6}\)-\(\frac{x}{8}\)=\(\frac{2}{3}\)
Simplifying the above equation, we can write:
- • \(\frac{(8y-6x)}{48}\)=\(\frac{2}{3}\)
• \(\frac{(4y-3x)}{16}\)=\(1\)
• \(4y-3x\)=\(16\)
Since we cannot find the value of \((3x+4y)\) from the above expression, hence statement 1 is not sufficient to answer the question.
Statement-2: \(\frac{y}{6}\) + \(\frac{x}{8}\) = \(\frac{5}{3}\)
Simplifying the above equation, we can write:
- • \(\frac{(8y+6x)}{48}\)=\(\frac{2}{3}\)
• \(\frac{(4y+3x)}{16}\)=\(1\)
• \(4y+3x\)=\(16\)
Therefore, Statement 2 ALONE is sufficient to answer the question.
Answer: B
