Question 25

In the following question, select the missing number from the given series.
14, 16, 30, 45, 62, 132, ?, ?

Solution

The given series is a pair of alternate series 14, 30, 62, ...  and 16, 45, 132, ...

In 14, 30, 62, ...

$$\left(14\times2\right)+2=30$$

$$\left(30\times2\right)+2=62$$

Similarly, the next number in the series = $$\left(62\times2\right)+2=126$$

In 16, 45, 132, ...

$$\left(16\times3\right)-3=45$$

$$\left(45\times3\right)-3=132$$

Similarly, the next number in the series = $$\left(132\times3\right)-3=393$$

$$\therefore\ $$The missing numbers in the given series are 126, 393

Hence, the correct answer is Option B


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