Choose that set of numbers from the four alternative sets, that is similar to the given set.
Given set: (11, 17, 23)
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → (41, 47, 53)
The given set (11, 17, 23) follows two rules: all three numbers are prime, and each is 6 more than the one before. The similar set must follow both.
Option (1) (23, 29, 33) — 33 = 3 × 11 is not prime, and 33 − 29 = 4.
Option (2) (31, 37, 49) — 49 = 7 × 7 is not prime, and 49 − 37 = 12.
Option (3) (41, 47, 53) — all three are prime and each is 6 more than the one before, just like the given set.
Option (4) (17, 21, 29) — 21 = 3 × 7 is not prime, and the steps are 4 and 8.