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123 is related to 223 following a certain logic. Following the same logic, 465 is related to 565. To which of the following is 786 related, following the same logic? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 тАУ 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.)
686
786
886
986
886
Observe the constant addition of 100 to the original number: (x + 100 = result).
Observe the constant addition of 100 to the original number: (x + 100 = result).
Analyze the first pair
The relationship given is 123 to 223. Applying the operation: 123 + 100 = 223.
Verify with the second pair
The relationship given is 465 to 565. Applying the operation: 465 + 100 = 565. This confirms the constant pattern is adding 100 to the source number.
Apply logic to the final number
For the number 786, we apply the identified pattern: 786 + 100 = 886.
A: 686 results from subtracting 100, which contradicts the established pattern; B: 786 is the original number itself, showing no transformation; D: 986 results from adding 200, which is mathematically inconsistent with the given examples.
C is correct because the pattern identifies a constant addition of 100 to the base number (123 + 100 = 223, 465 + 100 = 565, 786 + 100 = 886).
In number analogy questions, always check for simple arithmetic relationships (addition, subtraction, multiplication) before looking for complex digit-based patterns.
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