Select the set in which the numbers are related in the same way as the numbers of the following sets.
(34, 47, 62)
(119, 142, 167)
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding /deleting /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)

Logic: Subtract 2 from the squares of the consecutive numbers to get the numbers in the given sets.

(34, 47, 62) $$\rightarrow \ (6)^2 - 2 = 34; (7)^2 - 2 = 47; (8)^2 - 2 = 62$$​ (6, 7, and 8 are the consecutive numbers.)

(119, 142, 167) $$\rightarrow \ (11)^2 - 2 = 119; (12)^2 - 2 = 142; (13)^2 - 2 = 167$$​ (11, 12, and 13 are the consecutive numbers.)​​

Explanation:​

(a) (27, 38, 51) ​$$\rightarrow \ (5)^2 - 2 = 23 \neq 27; (6)^2 - 2 = 34 \neq 39; (7)^2 - 2 = 47 \neq 51$$​​​

(b) (48, 65, 82) $$\rightarrow \ (7)^2 - 2 = 47 \neq 48; (8)^2 - 2 = 62 \neq 65; (9)^2 - 2 = 79 \neq 82$$​​​

(c) (64, 78, 99) $$\rightarrow \ (8)^2 - 2 = 62 \neq 64; (9)^2 - 2 = 79 \neq 78; (10)^2 - 2 = 98 \neq 99$$​​​

(d) (79, 98, 119) $$\rightarrow \ (9)^2 - 2 = 79; (10)^2 - 2 = 98; (11)^2 - 2 = 119$$​​​

Thus, only option (d) follows the same logic.

Thus, the correct option is (d).