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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. E.g. 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.)
(4,12,48)
(7,21,84)

A.

(5,45,180)

B.

(15,45,170)

C.

(15,25,180)

D.

(15,45,180)

Correct option is D

Given:
(4,12,48)
(7,21,84)
Logic:
1st Number × 3 = 2nd Number
2nd Number × 4 = 3rd Number
Set (4, 12, 48):
4 × 3 = 12
12 × 4 = 48 
Set (7, 21, 84):
7 × 3 = 21
21 × 4 = 84 
Let's check all options:
Option (a): (5, 45, 180)  (Incorrect)
5 × 3 = 15 \ne 45​
Option (b): (15, 45, 170)  (Incorrect)
15 × 3 = 45 
45 × 4 = 180 \ne 170
Option (c): (15, 25, 180) (Incorrect)
15 × 3 = 45 \ne 25
Option (d): (15, 45, 180)  (Correct)
15 × 3 = 45
45 × 4 = 180 (Pattern Follow)
Thus, the correct option is (d) (15, 45, 180)

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