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03 May 2018, 02:19
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B
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Difficulty:
5%
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Question Stats:
93% (00:52) correct
7%
(02:11)
wrong
based on 83
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\(\frac{u}{v} * \frac{x}{(y+z)}\)
If the value of the expression above is to be doubled by halving exactly one of the five variables, which variable should be halved?
A. u
B. v
C. x
D. y
E. z
If the value of the expression above is to be doubled by halving exactly one of the five variables, which variable should be halved?
A. u
B. v
C. x
D. y
E. z
03 May 2018, 04:58
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Bunuel
If we halve \(v\), then we have
\(\frac{u}{0.5*v} * \frac{x}{(y+z)}\)\(=\)\(2*\)\(\frac{u}{v} * \frac{x}{(y+z)}\)
Answer: B
03 May 2018, 05:00
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Bunuel
\(\frac{u}{v} * \frac{x}{(y+z)}\) = \(\frac{{u x}}{{v (y+z)}}\)
As per the Q-stem : expression above is to be doubled by halving exactly one of the five variables
Thus , the variable should be in the denominator...... ( as if in numerator, decreasing the value of each component will decrease the value of the expression)
Now if we take y+ z we need to make both of then 1/2 to make the expression double.
But in case of v, The expression will be doubled by halfing v.
\(\frac{{u x}}{{v(y+z)}}\) = \(\frac{{u x}}{{(y+z)v/2}}\) = \(\frac{{2 u x}}{{(y+z)v}}\)
Thus I would go for B
