Given below are two sets of numbers. In each set, the second number is obtained by performing certain mathematical operations on the first number. Similarly, the third number is obtained by performing certain mathematical operations on the second number and so on. Which of the following options follows this pattern?
14-42-46-47; 25-75-79-80

14-42-46-47;

25-75-79-80

Logic: (1st number $$\times$$ 3)  → (2nd number + 4) → (3rd number + 1) = 4th number

1st pair: 14-42-46-47

42 × 3 = 42 → 42 + 4 = 46 → 46 + 1 = 47

2nd pair: 25-75-79-80

25 × 3 =  75 → 75 + 4 = 79 → 79 + 1 = 80

Lets check by this logic in each options;

Option (a); 32-96-99-101

32 × 3 = 96 → 96 + 3 = 99 → 99 + 2 = 101 (False)

32 × 3 = 96 → 96 + 4 = 100 → 100 + 1 = 101 (True)

Option (c); 32-96-100-102

32 × 3 = 96 → 96 + 4 = 100 → 100 + 2 = 102 (False)

Option (d); 32-95-100-101

 32 × 2.96875 = 95 → 95 + 5 = 100 → 100 + 1 = 101 (False)

Thus, the correct answer is (b).