Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given sets?

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

18 – 36 – 72 – 107; 15 – 30 – 60– 95

Question

Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given sets?

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

18 – 36 – 72 – 107; 15 – 30 – 60– 95

Accepted Answer

Step 1: Analyze the first given set: 18 – 36 – 72 – 107
- 18 to 36: 18 × 2 = 36
- 36 to 72: 36 × 2 = 72
- 72 to 107: 72 + 35 = 107

Step 2: Analyze the second given set: 15 – 30 – 60 – 95
- 15 to 30: 15 × 2 = 30
- 30 to 60: 30 × 2 = 60
- 60 to 95: 60 + 35 = 95

Step 3: Identify the pattern:
- First number multiplied by 2 to get second number
- Second number multiplied by 2 to get third number
- Third number plus 35 to get fourth number

Step 4: Check each option for the same pattern:
Option 1: 22 – 44 – 88 – 123
- 22 × 2 = 44 (correct)
- 44 × 2 = 88 (correct)
- 88 + 35 = 123 (correct)

Option 2: 25 – 50 – 100 – 125
- 25 × 2 = 50 (correct)
- 50 × 2 = 100 (correct)
- 100 + 35 = 135 (not 125)

Option 3: 11 – 22 – 66 – 101
- 11 × 2 = 22 (correct)
- 22 × 2 = 44 (not 66)

Option 4: 30 – 60 – 90 – 115
- 30 × 2 = 60 (correct)
- 60 × 2 = 120 (not 90)

Only Option 1 follows the exact same operations as the given sets.

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