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Select the set in which the numbers are related in the same way as are the numbers of the following sets. (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.) (15,5,10)(24,8,16)
(39,13,24)
(36,13,26)
(39,11,26)
(39,13,26)
(39,13,26)
Observe that the third number is equal to the difference between the first and second numbers (Term 3 = Term 1 - Term 2).
Observe that the third number is equal to the difference between the first and second numbers (Term 3 = Term 1 - Term 2).
Analyze the pattern
Looking at (15, 5, 10): 15 - 5 = 10. Looking at (24, 8, 16): 24 - 8 = 16. The pattern for the triplet (A, B, C) is C = A - B.
Evaluate Options
Applying the pattern C = A - B to the options: A) 39 - 13 = 26 (Not 24), B) 36 - 13 = 23 (Not 26), C) 39 - 11 = 28 (Not 26), D) 39 - 13 = 26.
A: 39-13=26, not 24. B: 36-13=23, not 26. C: 39-11=28, not 26. D is the only set that follows the logic A-B=C.
D is correct because it follows the established mathematical relation where the third number is the difference between the first and second numbers (39 - 13 = 26).
In number-based analogy questions, always check for simple subtraction or addition patterns before checking complex squares or multiplication rules.