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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.) 6-36-46-92; 7-49-59-118
5-25-35-70
16-26-62
9-29-58
8-64-74-138
25-35-70
Identify the pattern for each set: multiply the first number by 6 to get the second, add 10 to the second to get the third, and multiply the third by 2 to get the fourth.
Identify the pattern for each set: multiply the first number by 6 to get the second, add 10 to the second to get the third, and multiply the third by 2 to get the fourth.
Analyze the pattern
In set 6-36-46-92: 66=36, 36+10=46, 462=92. In set 7-49-59-118: 77=49, 49+10=59, 592=118. The pattern is (Number┬▓, Number┬▓тБ║┬╣тБ░, (Number┬▓тБ║┬╣тБ░)*2).
Apply to options
Testing Option A: 5┬▓ = 25. 25 + 10 = 35. 35 * 2 = 70. This sequence 5-25-35-70 follows the identified rule exactly.
B: 44=16, 16+10=26, but 262=52 (Option says 62). C: 33=9, 9+10=19 (Option says 29). D: 88=64, 64+10=74, 74*2=148 (Option says 138).
A is correct because it follows the mathematical sequence (x, x squared, x squared + 10, (x squared + 10) * 2).
In number-set logic, always check for squares or cubes first, then look for additive constants (like +10) or multiplicative multipliers (like *2) that consistently apply to all sets.