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Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given sets? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 тАУ Operations on 13 such as adding / subtracting /multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) 6-18-72-102; 8-20-80-110
9-21-84-94
16-64-84
7-19-76-106
11-22-88-116
7-19-76-106
The operation pattern is: 1st number * 3 = 2nd; 2nd number * 4 = 3rd; 3rd number + 30 = 4th.
The operation pattern is: 1st number * 3 = 2nd; 2nd number * 4 = 3rd; 3rd number + 30 = 4th.
Analyze the Pattern
In both given sets: (6, 18, 72, 102) and (8, 20, 80, 110), the relationship is: 1) Second number = First number + 12. 2) Third number = Second number * 4. 3) Fourth number = Third number + 30.
Verify Option C
Applying the rules to 7: First number = 7. Second = 7 + 12 = 19. Third = 19 * 4 = 76. Fourth = 76 + 30 = 106. The sequence 7-19-76-106 matches the established logic perfectly.
A: 21-9=12, but 214=84 (Match), 84+30=114 (Option says 94, Incorrect). B: 16-4=12, 164=64, 64+30=94 (Option says 84, Incorrect). D: 22-11=11 (Does not equal 12, Incorrect).
C is correct because it strictly follows the mathematical sequence of adding 12 to the first term, multiplying the second term by 4, and adding 30 to the third term.
When checking sequences, always compute the differences between terms first. If differences follow a pattern, it is easier to solve than complex multiplication rules.
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