Two sets of numbers are given: 18 – 36 – 72 – 107 and 15 – 30 – 60 – 95. In each set, certain mathematical operation(s) on the first number result in the second number, and so on. Which of the given options follows the same set of operations as in the given sets?

Question

Accepted Answer

Let's analyze the pattern in the given sets:

First set: 18 – 36 – 72 – 107
Second set: 15 – 30 – 60 – 95

Step 1: Find the operation between the numbers in the first set:
18 to 36: 18 × 2 = 36
36 to 72: 36 × 2 = 72
72 to 107: 72 + 35 = 107

Second set:
15 to 30: 15 × 2 = 30
30 to 60: 30 × 2 = 60
60 to 95: 60 + 35 = 95

So, the pattern is:
- First, multiply by 2
- Then, multiply by 2
- Then, add 35

Now, let's check the options:

Option 1: 22 – 44 – 88 – 123
22 × 2 = 44
44 × 2 = 88
88 + 35 = 123
Pattern matches.

Option 2: 25 – 50 – 100 – 125
25 × 2 = 50
50 × 2 = 100
100 + 35 = 135 (not 125)
Pattern does not match.

Option 3: 11 – 22 – 66 – 101
11 × 2 = 22
22 × 2 = 44 (not 66)
Pattern does not match.

Option 4: 30 – 60 – 90 – 115
30 × 2 = 60
60 × 2 = 120 (not 90)
Pattern does not match.

Therefore, only Option 1 follows the same set of operations.

Answer

Answer

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