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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.) (16,4,20)(36,9,45)
(56, 14, 70)
(56, 12, 70)
(54, 14, 70)
(56, 14, 65)
(56, 14, 70)
The logic in each triplet (A, B, C) is that the third number is equal to the first number plus the product of the first and second numbers divided by something, or more simply: First Number + (First Number / 4 * Second Number) = Third Number.
The logic in each triplet (A, B, C) is that the third number is equal to the first number plus the product of the first and second numbers divided by something, or more simply: First Number + (First Number / 4 * Second Number) = Third Number.
Analyze the pattern
Observe the sets: (16, 4, 20) and (36, 9, 45). In (16, 4, 20), 16/4 = 4, and 4 * 5 = 20. In (36, 9, 45), 36/4 = 9, and 9 * 5 = 45. The pattern is (First / 4) * 5 = Third, but more simply, First + (First/4 * (B/4? no)). Let's re-evaluate: The pattern is (First / 4) * 5 = Third.
Verify the pattern
The logic is: (A / 4) * 5 = C. For the given sets: (16 / 4) * 5 = 20. (36 / 4) * 5 = 45. This holds true for both sets.
Apply to options
Testing (56, 14, 70): (56 / 4) * 5 = 14 * 5 = 70. This perfectly matches the pattern.
B: (56, 12, 70) fails because 56/45 = 70, but 12 is not 14. C: (54, 14, 70) fails because 54/45 = 67.5!= 70. D: (56, 14, 65) fails because 56/4*5 = 70!= 65.
A is correct because the set (56, 14, 70) follows the pattern (First/4)*5 = Third, just like the given sets.
Always check for simple divisibility relationships (like First/4 or First/Something) in triplet problems before trying complex arithmetic combinations.
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