Question 25

In the following question, select the missing number from the given alternatives.
35, 39, 48, 64, 89, ?

Solution

Let the required number = a

The logic here is

39 - 35 = 4 = 2$$^2$$

48 - 39 = 9 = 3$$^2$$

64 - 48 = 16 = 4$$^2$$

89 - 64 = 25 = 5$$^2$$

The difference between the numbers of the series is square of consecutive numbers. The next difference should be 6$$^2$$ = 36.

Similarly,  a - 89 = 36

$$\Rightarrow$$ a = 125

$$\therefore\ $$The required number = 125.

Hence, the correct answer is Option C


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