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.)

Given sets:
10 – 12 – 8 – 15; 12 – 14 – 10 – 19

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.)

Given sets:
10 – 12 – 8 – 15; 12 – 14 – 10 – 19

Accepted Answer

Step 1: Analyze the first given set: 10 – 12 – 8 – 15
- From 10 to 12: +2
- From 12 to 8: -4
- From 8 to 15: +7

Step 2: Analyze the second given set: 12 – 14 – 10 – 19
- From 12 to 14: +2
- From 14 to 10: -4
- From 10 to 19: +9

Step 3: Identify the pattern in operations:
- First operation: +2
- Second operation: -4
- Third operation: + (increasing odd number: 7, then 9)

Step 4: Check each option for the same pattern:
Option 1: 8 – 6 – 10 – 18
- 8 to 6: -2 (should be +2)
- Fails pattern

Option 2: 11 – 13 – 9 – 17
- 11 to 13: +2 (matches)
- 13 to 9: -4 (matches)
- 9 to 17: +8 (should be +7 or +9, but 8 is close; check if pattern allows)

Option 3: 6 – 8 – 12 – 16
- 6 to 8: +2 (matches)
- 8 to 12: +4 (should be -4)
- Fails pattern

Option 4: 15 – 13 – 9 – 19
- 15 to 13: -2 (should be +2)
- Fails pattern

Step 5: Reconsider the third operation in option 2:
- In given sets, the third operation increases by 2 (7 to 9), so next could be 11.
- Option 2 has +8, which is close but not exact.

Step 6: Since option 2 is the only one matching the first two operations exactly and closest in the third, it is the best fit.

Hence, option 2 follows the same set of operations.

Answer

Answer

Answer