Question : Directions: Select the option related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term.
$\left[\frac{1}{97}\right]:\left[\frac{1}{63}\right]::\left[\frac{1}{114}\right] :?:: \left[\frac{1}{89}\right]:\left[\frac{1}{55}\right]$
Option 1: $\left[\frac{1}{80}\right]$
Option 2: $\left[\frac{1}{77}\right]$
Option 3: $\left[\frac{1}{86}\right]$
Option 4: $\left[\frac{1}{83}\right]$
Correct Answer: $\left[\frac{1}{80}\right]$
Solution :
Given:
$\left[\frac{1}{97}\right]:\left[\frac{1}{63}\right]::\left[\frac{1}{114}\right] :?:: \left[\frac{1}{89}\right]:\left[\frac{1}{55}\right]$
Subtract 34 from the denominator of the first number, to obtain the second number –
Like, $\left[\frac{1}{97}\right]:\left[\frac{1}{63}\right]$→$\left[\frac{1}{97-34}\right] = \left[\frac{1}{63}\right]$
And, $\left[\frac{1}{89}\right]:\left[\frac{1}{55}\right]$ → $\left[\frac{1}{89-34}\right]=\left[\frac{1}{55}\right]$
Similarly, follow the same pattern for $\left[\frac{1}{114}\right]$ –
⇒ $\left[\frac{1}{114-34}\right]=\left[\frac{1}{80}\right]$
So, $\left[\frac{1}{80}\right]$ is the required number in the given set of numbers. Hence, the first option is correct.
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