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Select the set in which the numbers are related in the same way as are the numbers of the given sets. (NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13- Operations on 13 such as adding /Subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed)
(12, 40, 14)
(15, 33, 9)
(11, 105, 42)
(21, 35, 41)
(21, 95, 35)
(21, 91, 35)
Let's examine the relationships between the numbers:
- In the set (12, 40, 14):
- Start with 12.
- Multiply by 3 to get 36.
- Add 4 to reach 40.
- Subtract 26 to arrive at 14.
- In the set (15, 33, 9):
- Start with 15.
- Multiply by 3 to get 45.
- Subtract 12 to reach 33.
- Subtract 24 to arrive at 9.
Now, let's evaluate the options:
1. Option 1 (11, 105, 42):
- Start with 11.
- Multiply by 3 to get 33.
- Addition does not match to 105; the set does not fit.
2. Option 2 (21, 35, 41):
- Start with 21.
- Multiply by 1.67 to reach close to 35, doesn't match the pattern correctly.
3. Option 3 (21, 95, 35):
- Multiply by some factor and adjustments; numbers don't fit the exact pattern.
4. Option 4 (21, 91, 35):
- Multiply by 3 to get 63.
- Add 28 to get 91.
- Subtract 56 to arrive at 35.
Thus, the option where the numbers align with the same operational structure is:
- Option 4 (21, 91, 35)
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