Select the set in which the numbers are related in the same way as are the numbers of the following set.

(189, 148, 107)

(206, 165, 124)

(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)

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 4)
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  1. (84, 67, 39)
  2. (121, 85, 45)
  3. (76, 46, 26)
  4. (108, 67, 26)

Answer (Detailed Solution Below)

Option 4 : (108, 67, 26)
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Detailed Solution

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Given:

(189, 148, 107)

(206, 165, 124)

Logic: [(First no. - Second no.) = (Second no. - Third no.)]

(189, 148, 107) 

⇒ [(189 - 148) = (148 - 107)]

⇒ [41 = 41]

(206, 165, 124) 

⇒ [(206 - 165) = (165 - 124)]

⇒ [41 = 41]

Checking all the given options:

1. (84, 67, 39)

⇒ [(84 - 67) = (67 - 39)]

⇒ [17 = 28]

2. (121, 85, 45)

⇒ [(121 - 85) = (85 - 45)]

⇒ [36 = 40]

3. (76, 46, 26)

⇒ [(76 - 46) = (46 - 26)]

⇒ [30 = 20]

4. (108, 67, 26)

⇒ [(108 - 67) = (67 - 26)]

⇒ [41 = 41]

Here, (108, 67, 26) shows a similar relation to the given set of numbers.

Hence, the correct answer is "Option (4)".

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