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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