Question 27

In the following question, select the missing number from the given alternatives
132, 475, 987, 1716, 2716, ?

Solution

The logic here is

475 - 132 = 343 = 7$$^3$$

987 - 475 = 512 = 8$$^3$$

1716 - 987 = 729 = 9$$^3$$

2716 - 1716 = 1000 = 10$$^3$$

The difference between consecutive numbers of series is equal cube of consecutive numbers.

The next difference should be 11$$^3$$ = 1331

Let the next number in the series = a

$$\Rightarrow$$  a - 2716 = 1331

$$\Rightarrow$$  a = 4047

$$\therefore\ $$The missing number in the series = 4047

Hence, the correct answer is Option B


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