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. For example, 13 — operations such as adding, subtracting, multiplying, etc., can be performed on 13 as a whole. Breaking down 13 into 1 and 3 and then performing operations on 1 and 3 is not allowed.) 4 − 64 − 74 − 84; 3 − 27 − 37 − 47
5-125-135-145
Rule (operate on whole number): cube the first, then add 10, then add 10.
Set 1: 4 → 4³ = 64 → 64+10 = 74 → 74+10 = 84.
Set 2: 3 → 3³ = 27 → 27+10 = 37 → 37+10 = 47.
Check options:
5-125-135-145: 5³ = 125, 125+10 = 135, 135+10 = 145. Matches the rule exactly.
6-216-226-246 fails (last step +20). 7-21-31-41 fails (21 is not 7³). 2-8-18-36 fails (last step +18).
Hence, the answer is 5-125-135-145.
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