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Which number from among the given options will come in place of (*) in the given number series? 1, 1, 2, 8, 3, 27, 4, (*), 5, 125...
Question

Which number from among the given options will come in place of (*) in the given number series?
1, 1, 2, 8, 3, 27, 4, (*), 5, 125...

A.

96

B.

64

C.

36

D.

32

Correct option is B

Given number series: 1, 1, 2, 8, 3, 27, 4, (*), 5, 125...
The series alternates between two sequences:
The first sequence consists of the numbers: 1, 2, 3, 4, 5 (which increases by 1).
The second sequence consists of the numbers: 1, 8, 27, (*), 125.
Now, let's identify the pattern in the second sequence, which corresponds to the cubes of natural numbers:
1 = 1³
8 = 2³
27 = 3³
(*) = 4³ = 64
125 = 5³
From this analysis, we see that the missing number (*) corresponds to 43 = 64.
Conclusion: The number that will come in place of (*) is 64.
So, the correct answer is: (b) 64.

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