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19 is related to 287 following a certain logic. Following the same logic, 23 is related to 347. To which of the following is 28 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 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.)
422
426
424
420
422
Observe that the number is multiplied by a factor (n * 15 or 16) and then adjusted by a constant, or more simply, check the pattern x * (x + something).
Observe that the number is multiplied by a factor (n * 15 or 16) and then adjusted by a constant, or more simply, check the pattern x * (x + something).
Analyze the first pair (19, 287)
19 multiplied by 15 equals 285. Adding 2 to 285 gives 287. Logic: (n * 15) + 2.
Verify the second pair (23, 347)
23 multiplied by 15 equals 345. Adding 2 to 345 gives 347. The logic (n * 15) + 2 holds.
Apply logic to the target number (28)
Following the confirmed logic: 28 * 15 = 420. Adding 2 to 420 gives 422.
B: 426 is incorrect as 420 + 6 does not fit the +2 rule. C: 424 is incorrect as it implies +4. D: 420 is incorrect as it misses the constant addition of 2.
A is correct because 28 multiplied by 15 equals 420, and adding the constant 2 results in 422.
When faced with number relationships, always test multiplication by nearby multiples first, as constants are frequently added or subtracted to reach the final term.