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8 is related to 88 following a certain logic. Following the same logic, 12 is related to 132. To which of the following is 51 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.)
561
562
563
564
561
Observe that the pattern is n multiplied by (n + 1).
Observe that the pattern is n multiplied by (n + 1).
Analyze the first pair (8 to 88)
8 multiplied by (8 + 3) is not the pattern. Observe 8 * 11 = 88. 11 is (8 + 3).
Validate with the second pair (12 to 132)
12 * 11 = 132. Here, 11 is (12 - 1). The logic is n * (n - 1).
Apply logic to the target number (51)
Using the identified logic n * (n - 1), calculate 51 * (51 - 1) = 51 * 50 = 2550. Wait, check the options. Re-evaluating: 8 * 11 = 88, 12 * 11 = 132. The multiplier is fixed at 11? No, 8 * 11 = 88, 12 * 11 = 132. If we use 11 as the constant multiplier, 51 * 11 = 561.
B: 562 does not equal 5111. C: 563 does not equal 5111. D: 564 does not equal 51*11.
A is correct because the logic follows the pattern of multiplying the given number by 11 (811=88, 1211=132, 51*11=561).
When number analogies do not follow simple n squared or n cubed patterns, always test constant multipliers or simple arithmetic series addition/subtraction across the pairs.
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