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) 

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  1. (5, 45, 180) 
  2. (15, 25, 180) 
  3. (15, 45, 180) 
  4. (15, 45, 170) 

Answer (Detailed Solution Below)

Option 3 : (15, 45, 180) 
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Detailed Solution

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Given:

Sets: (4, 12, 48) and (7, 21, 84)

Formula: First number × 3 = Second number

Formula: Second number × 4 = Third number

Given (4, 12, 48):

4 × 3 = 12

12 × 4 = 48

For (7, 21, 84):

7 × 3 = 21

21 × 4 = 84

Option 1) (5, 45, 180):

5 × 3 = 15 (Does not match 45)

45 × 4 = 180 (Matches the third number but second number does not match)

Option 2) (15, 25, 180):

15 × 3 = 45 (Does not match 25)

25 × 4 = 100 (Does not match 180)

Option 3) (15, 45, 180):

15 × 3 = 45

45 × 4 = 180

Only Option 3 satisfies both conditions.

Option 4) (15, 45, 170):

15 × 3 = 45

45 × 4 = 180 (Does not match 170)

Therefore, the correct answer is option 3) (15, 45, 180).

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