Question : Directions: Select the related letter/number from the given alternatives.
$\frac{C}{L}:\frac{24}{27}:\frac{E}{N}:\:?$
Option 1: $\frac{54}{50}$
Option 2: $\frac{56}{45}$
Option 3: $\frac{125}{197}$
Option 4: $\frac{56}{54}$
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Correct Answer: $\frac{56}{45}$
Solution :
Given:
$\frac{C}{L}:\frac{24}{27}:\frac{E}{N}:\:?$
Like, $\frac{C}{L}$ = $\frac{3\:\times\:9}{12\:\times\:(3\:–\;1)}$ = $\frac{3\:\times\:9}{12\:\times\:2}$ = $\frac{27}{24}$
Now, reciprocal of $\frac{27}{24}$ = $\frac{24}{27}$
Thus, $\frac{C}{L}$ is related to $\frac{24}{27}$.
Similarly, follow the same pattern for $\frac{E}{N}$ –
Like, $\frac{E}{N}$ = $\frac{5\:\times\:9}{14\:\times\:(5\:–\;1)}$ = $\frac{5\:\times\:9}{14\:\times\:4}$ = $\frac{45}{56}$
Now, reciprocal of $\frac{45}{56}$ = $\frac{56}{45}$
So, $\frac{E}{N}$ is related to $\frac{56}{45}$. Hence, the second option is correct.
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