Select the option in which the numbers are related in the same way as are the numbers of the following set. {91, 143, 221}?

Option 1 : {84, 132, 204}

The logic followed here is:

Logic: First number = (Second number + Third number) / 4

(91, 143, 221)

⇒ First number = (143 + 221) / 4 = 364 / 4 = 91

⇒ 91 = 91

Option (1) → (84, 132, 204)

⇒ First number = (132 + 204) / 4 = 336 / 4 = 84

⇒ 84 = 84

Option (2) → (119, 197, 289)

⇒ First number = (197 + 289) / 4 = 486 / 4 = 121.5

⇒ 121.5 ≠ 119

Option (3) → (56, 78, 136)

⇒ First number = (78 + 136) / 4 = 214 / 4 = 53.5

⇒ 53.5 ≠ 56

Option (4) → (112, 168, 262)

⇒ First number = (168 + 262) / 4 = 430 / 4 = 107.5 

⇒ 107.5 ≠ 112

Hence, the correct answer is "(84, 132, 204)".

Alternate MethodLogic:

First number is multiple of 7.

Second number is multiple of 11.

Third number is multiple of 17.

(91, 143, 221) 

⇒ 91 = 13 × 7

⇒ 143 = 13 × 11

⇒ 221 = 13 × 17 

Similarly,

(84, 132, 204)

⇒ 84 = 12 × 7

⇒ 132 = 12 × 11

⇒ 204 = 12 × 17

Hence, the correct answer is "(84, 132, 204)".