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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.) (16, 9, 14) (33, 11, 44)
(17, 4, 22)
(22, 6, 30)
(41, 23, 25)
(18, 7, 22)
(18, 7, 22)
Look for a linear relationship between the numbers; here, the sum of the first two numbers equals the third number, or the difference between the first and second follows a specific constant rule.
Look for a linear relationship between the numbers; here, the sum of the first two numbers equals the third number, or the difference between the first and second follows a specific constant rule.
Analyze the pattern in the given sets
Set 1: (16, 9, 14). Relationship: 16 - 9 = 7; then 7 * 2 = 14. Set 2: (33, 11, 44). Relationship: 33 + 11 = 44. Wait, the pattern is: (First Number - Second Number) * 2 = Third Number does not fit set 2. Let us re-examine: Set 1: (16+12)/2 = 14? No. Let us try: (16/2) + (9) = 17 (close to 14). Let us look at the official answer D: (18, 7, 22). Relationship: (18 - 7) = 11, and 11 * 2 = 22. Checking Set 1: (16 - 9) = 7, 7 * 2 = 14. Checking Set 2: (33 - 11) = 22, 22 * 2 = 44.
Validate the pattern (First - Second) * 2 = Third
Apply the rule (A - B) * 2 = C to the given sets. Set 1: (16 - 9) = 7, 7 * 2 = 14 (Matches). Set 2: (33 - 11) = 22, 22 * 2 = 44 (Matches). Set 3 (Option D): (18 - 7) = 11, 11 * 2 = 22 (Matches).
A: (17 - 4) * 2 = 26, not 22. B: (22 - 6) * 2 = 32, not 30. C: (41 - 23) * 2 = 36, not 25.
D is correct because it follows the established rule of (First - Second) * 2 = Third, where (18 - 7) * 2 equals 22.
When sets of three numbers are provided, always test simple arithmetic relations like sum, difference, or multiples before moving to complex powers or squares.
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