Question : Directions: A series is given below with one term missing. Choose the correct alternative from the given ones that will complete the series.
$\frac{W}{S}$, $\frac{U}{O}$, $\frac{S}{K}$, $\frac{Q}{G}$, ?
Option 1: $\frac{P}{R}$
Option 2: $\frac{C}{O}$
Option 3: $\frac{R}{J}$
Option 4: $\frac{O}{C}$
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Correct Answer: $\frac{O}{C}$
Solution :
Given:
$\frac{W}{S}$, $\frac{U}{O}$, $\frac{S}{K}$, $\frac{Q}{G}$, ?
In the given series, subtract 2 from the place value of the letter in the numerator and subtract 4 from the place value of the letter in the denominator to obtain the missing term –
$\frac{W\text{ – }2}{S\text{ – }4}$ = $\frac{U}{O}$; $\frac{U\text{ – }2} {O\text{ – }4}$ = $\frac{S}{K}$; $\frac{S\text{ – }2}{K\text{ – }4}$ = $\frac{Q}{G}$; $\frac{Q\text{ – }2 }{G\text{ – }4}$ = $\frac{O}{C}$
So, the missing term in the series is $\frac{O}{C}$. Hence, the fourth option is correct.
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