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Select the set in which the numbers are related in the same way as are the numbers of the following sets.(NOTE: Operations should be performed on the
Question

Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. EXAMPLE: 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)
(7, 5, 16807)
(8, 4, 4096)

A.

(10, 3, 100)

B.

(12, 3, 1728)

C.

(8, 6, 3456)

D.

(3, 4, 21)

Correct option is B

Logic: (first number)(second number)= third number
As,
(7, 5, 16807)
75=1680
and
(8, 4, 4096)
84= 4096
Now, check options-
(a) (10, 3, 100) 
103=1000
​ So, its not correct.
(b) (12, 3, 1728) 
123=1728
​ So, its correct.
(c) (8, 6, 3456)
86=262144
​ So, its not correct.
(d) (3, 4, 21)
34= 81
So, its not correct.
Thus, correct option is (b).

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