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Below are given two sets of numbers. In each set of numbers, a certain mathematical operation on the first number results in the second number. Similarly, a certain mathematical operation on the second number results in the third number. Which of the given options follows the same set of operations as in the question? (NOTE: A two/three digit number cannot be broken into individual digits for operations. E.g. if 37 is followed by 10, the operation cannot be 3+7 as a two-digit number cannot be broken into individual digits.) 14 - 182 - 728 ; 17 - 221 - 884
20 - 260 - 980
15 - 195 - 780
11 - 143 - 578
13 - 169 - 667 Question ID : 4410091989956 Option 1 ID : 4410097837567 Option 2 ID : 4410097837568 Option 3 ID : 4410097837565 Option 4 ID : 4410097837566 Status : Answered Chosen Option : B
15 - 195 - 780
Observe that the second number is (First Number * 13) and the third number is (Second Number * 4).
Observe that the second number is (First Number * 13) and the third number is (Second Number * 4).
Analyze the given sets
Set 1: 14 * 13 = 182 and 182 * 4 = 728. Set 2: 17 * 13 = 221 and 221 * 4 = 884. The pattern is (x, x * 13, x * 13 * 4).
Apply logic to Option B
Testing Option B (15 - 195 - 780): 15 * 13 = 195. Then, 195 * 4 = 780. This matches the established pattern perfectly.
A: 20 * 13 = 260 but 260 * 4 = 1040, not 980. C: 11 * 13 = 143 but 143 * 4 = 572, not 578. D: 13 * 13 = 169 but 169 * 4 = 676, not 667.
B is correct because it follows the rule where the second term is 13 times the first, and the third term is 4 times the second (15 * 13 = 195; 195 * 4 = 780).
When dealing with three-number sets, always check for common multipliers first before attempting addition or subtraction operations.