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Two sets of numbers are given below. In each set of numbers, a certain mathematical operation on the first number results in the second number. Similarly, certain mathematical operation on the second number results in the third number and so on. Which of the given options follows the same set of operations as in the given sets?
(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)
18 - 23 - 33 - 165
39 - 44 - 54 - 270
50 - 55 - 65 - 325
7 - 17 - 17 - 34
39 - 49 - 49 - 245
28 - 39 - 48 - 144
50 - 55 - 65 - 325
The series follows a pattern of (+5) → (+10) → (×5) for all three consecutive transitions.
The series follows a pattern of (+5) → (+10) → (×5) for all three consecutive transitions.
Analyze the first set (18, 23, 33, 165)
18 + 5 = 23. Next, 23 + 10 = 33. Finally, 33 * 5 = 165. The rule is (+5, +10, *5).
Verify the second set (39, 44, 54, 270)
39 + 5 = 44. Next, 44 + 10 = 54. Finally, 54 * 5 = 270. The logic holds perfectly.
Test option A (50, 55, 65, 325)
50 + 5 = 55. 55 + 10 = 65. 65 * 5 = 325. This matches the established pattern exactly.
B: 7+10=17, 17+0=17, 172=34 (wrong pattern); C: 39+10=49, 49+0=49, 495=245 (wrong pattern); D: 28+11=39, 39+9=48, 48*3=144 (wrong pattern).
A is correct because it strictly follows the pattern of adding 5 to the first number, adding 10 to the second, and multiplying the third by 5 to get the final result.
In number series sets, always check the difference between the first two terms and the last transformation first; if the last is a large jump, it is almost certainly multiplication.
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