Select the option in which the numbers shares the same relationship in set as that shared by the numbers in the given set. (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)

(79, 89, 101)

(31, 41, 47)

The logic followed here is:

The pairs are given as: "Alternate Prime numbers".

Now,

(79, 89, 101)

⇒ 79 → 22^nd Prime number.

⇒ 89 → 24th Prime number.

⇒ 101 → 26th Prime number.

For (31, 41, 47)

⇒ 31 → 11th Prime number.

⇒ 41 → 13th Prime number.

⇒ 47 → 15th Prime number.

Now, checking the options:

Option 1: (43, 47, 59)

⇒ 43 → 14th Prime number.

⇒ 47 → 15th Prime number.

⇒ 59 → 17th Prime number.

Option 2: (53, 61, 67)

⇒ 53 → 16th Prime number.

⇒ 61 → 18th Prime number.

⇒ 67 → 19th Prime number.

Option 3: (29, 37, 43)

⇒ 29 → 10th Prime number.

⇒ 37 → 12th Prime number.

⇒ 43 → 14th Prime number.

Option 4: (17, 19, 23)

⇒ 17 → 7th Prime number.

⇒ 19 → 8th Prime number.

⇒ 23 → 9th Prime number.

Hence, the correct answer is "Option 3".

Additional Information

Prime number table from 1 to 100.