Instructions

What should come in place of the question mark ? in the following number series ?

Question 64

27, 125, ??, 729, 1331, 2197, 3375

Solution

Each number in the given series is the cube of an odd number.

For example, $$27 = 3^3$$
$$125 = 5^3$$

$$729 = 9^3$$
$$1331 = 11^3$$
$$2197 = 13^3$$
$$3375 = 15^3$$

So, the number missing is $$7^3 = 343$$


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