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 | and 3 and then performing mathematical operations on | and 3 is not allowed.)

(3, 12, 36)

(8, 32, 96) 

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  1. (14, 48, 144) 
  2. (12, 48, 124) 
  3. (12, 42, 144) 
  4. (12, 48, 144) 

Answer (Detailed Solution Below)

Option 4 : (12, 48, 144) 
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Detailed Solution

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The logic followed here is:

Given:

(3, 12, 36)

3 × 4 = 12

12 × 3 = 36

And,

(8, 32, 96) 

8 × 4 = 32

32 × 3 = 96

So, checking each option one by one:

Option 1) (14, 48, 144) 

14 × 4 = 56 ≠ 48

48 × 4 = 144

Option 2) (12, 48, 124)

12 × 4 = 48

48 × 4 = 144 ≠ 124

Option 3) (12, 42, 144)

12 × 4 = 48 ≠ 42

42 × 4 = 168 ≠ 144

Option 4) (12, 48, 144)

12 × 4 = 48

48 × 3 = 144

Thus, out of all the options, '(12, 48, 144)' follows the same logic as given.

Hence, "Option 4" is the correct answer.

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