Question 39

What is the next number in the series

3, 10, 29, 66….

Solution

In the series,

$$3=1+2=1^3+2$$

$$10=8+2=2^3+2$$

$$29=27+2=3^3+2$$

$$66=64+2=4^3+2$$

The numbers of the series are in the form of $$n^3+2$$

$$\therefore\ $$Next number in the series $$=5^3+2=125+2=127$$

Hence, the correct answer is Option B

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