Question 25

In the following question, select the missing number from the given alternatives.
14, 22, 49, 113, 238, ?

Solution

The logic here is

$$22-14=8=2^3$$

$$49-22=27=3^3$$

$$113-49=64=4^3$$

$$238-113=125=5^3$$

The difference between numbers is cube of consecutive numbers. The next difference should be $$6^3=216$$

Let the required number = a

Similarly, a - 238 = 216

$$\Rightarrow$$ a = 454

$$\therefore\ $$The required number = 454

Hence, the correct answer is Option C

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In the following question, select the missing number from the given alternatives.14, 22, 49, 113, 238, ?