If\[x::y::2:3\]and \[2:x::4:8,\]then the value of y is [SSC (CGL) 2014] |
A) 6
B) 8
C) 4
D) 12
Correct Answer: A
Solution :
(a) Given that, \[x:y::2:3\] |
\[\therefore \] \[\frac{x}{y}=\frac{2}{3}\] … (i) |
and \[2:x::4:8\] |
\[\therefore \] \[\frac{2}{x}=\frac{4}{8}\] |
On solving, \[x=\frac{8\times 2}{4}=4\] |
On putting the value of x in Eq. (i), we get \[\frac{4}{y}=\frac{2}{3}\]\[\Rightarrow \]\[y=\frac{3\times 4}{2}=6\]. |
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