Question

Select the option in which the numbers are related in the same way as are the numbers in the given set.

(9, 217, 8)

1. (2, 76, 5)
2. (3, 49, 2)
3. (4, 37, 3)
4. (5, 625, 6)

Answer 1

Correct Answer - Option 3 : (4, 37, 3)

Given set,

(9, 217, 8)

 93 – 83 = 729 – 512 = 217

Here, we see the middle number is the difference of cubes of 1st and 3rd number.

Therefore,

(2, 76, 5) = 5³ – 2³ = 125 – 8 = 117 ≠ 76

(3, 49, 2) = 3³ – 2³ = 27 – 8 = 19 ≠ 49

(4, 37, 3) = 4³ – 3³ = 64 – 27 = 37

(5, 625, 6) = 6³ – 5³ = 216 – 125 = 91 ≠ 625

Hence, the correct answer is (4, 37, 3).