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5 is related to 26 following a certain logic. Following the same logic, 12 is related to 145. To which of the following is 13 related, following the same logic? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 тАУ 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.)
168
162
170
172
170
The pattern is (n * 5) + 1, followed by adding a constant increment to the multiplier, or more simply: n┬▓ + 1 (5┬▓тБ║┬╣=26, 12┬▓тБ║┬╣=145). Since 13┬▓ + 1 = 169 + 1 = 170.
The pattern is (n * 5) + 1, followed by adding a constant increment to the multiplier, or more simply: n┬▓ + 1 (5┬▓тБ║┬╣=26, 12┬▓тБ║┬╣=145). Since 13┬▓ + 1 = 169 + 1 = 170.
Analyze the first pair (5, 26)
Observe that 5 squared is 25. Adding 1 gives 26. Rule: n┬▓ + 1.
Verify with the second pair (12, 145)
12 squared is 144. Adding 1 gives 145. This confirms the rule n┬▓ + 1 applies consistently.
Apply to 13
Calculate 13 squared which is 169. Add 1 to get 170.
A: 168 is incorrect as it does not follow the n┬▓ + 1 logic. B: 162 is incorrect as it does not follow the n┬▓ + 1 logic. D: 172 is incorrect as it does not follow the n┬▓ + 1 logic.
C is correct because the sequence follows the mathematical pattern of squaring the given number and adding 1 (13┬▓ + 1 = 170).
In number analogy questions, always test squares/cubes first, especially if the target number is near a perfect square.
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