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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 - 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.) (32, 78, 93) (29, 75, 90)
(43, 79, 94)
(25, 71, 76)
(35, 81, 92)
(38, 84, 99)
(38, 84, 99)
Look for the mathematical relationship: Second number minus first number results in a value, and the third number is derived from adding a consistent increment or following a sum pattern.
Look for the mathematical relationship: Second number minus first number results in a value, and the third number is derived from adding a consistent increment or following a sum pattern.
Analyze the given sets
Set 1: (32, 78, 93). Relation: 78 - 32 = 46. Next, 93 - 78 = 15. Set 2: (29, 75, 90). Relation: 75 - 29 = 46. Next, 90 - 75 = 15.
Identify the logic
The pattern for each set (A, B, C) is: (B - A = 46) and (C - B = 15). Essentially, the second number is the first plus 46, and the third number is the second plus 15.
Test the options
Option D (38, 84, 99): 84 - 38 = 46 (Correct). 99 - 84 = 15 (Correct). This matches the pattern perfectly.
A: 79 - 43 = 36 (Not 46). B: 71 - 25 = 46, but 76 - 71 = 5 (Not 15). C: 81 - 35 = 46, but 92 - 81 = 11 (Not 15).
D is correct because it follows the established pattern of adding 46 to the first number to get the second, and 15 to the second number to get the third.
When faced with triple-number sets, always check the difference between consecutive numbers first as it reveals the additive or multiplicative growth pattern quickly.
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