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Select the option in which the numbers are related in the same way as are the numbers in the given set.(9, 81, 6561)
Question

Select the option in which the numbers are related in the same way as are the numbers in the given set.
(9, 81, 6561)

A.

(3, 9, 27)

B.

(5, 25, 125)

C.

(2, 4, 16)

D.

(4, 16, 64)

Correct option is C

Given:
(9, 81, 6561)
92 = 81, 812​ → 6561
Logic: The pattern shows that each number is the square of the previous number.
Now, let's check each option:
Option (A): (3, 9, 27):
32= 9, 92= 81 \neq 27 Does not follow
Option (B): (5, 25, 125)
52 = 25, 252 = 625 \neq 125 Does not follow 
Option (C): (2, 4, 16):
22 = 4, 42 = 16 Follow
Option (D): (4, 16, 64):
42 =16, 162 = 256 \neq 64 Does not follow
Thus, the correct option is (c) (2, 4, 16).


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