GATE CS 2025 Set 2 — Question 8
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General Aptitude → Analytical Aptitude → Numerical Relations & Reasoning
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Question
Which one of the following options is correct for the given data in the table?
| Iteration () | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| Input () | 20 | 10 | 15 | |
| Output () | 20 | 16 | 26 | 41 |
| Output () | 20 |
Correct answer
(A) X(i) = X(i - 1) + I(i); Y(i) = Y(i - 1)I(i); i 0
Solution
To find the correct recurrence relations, we test the given options with the data from the table for .1. Testing :
- For : . Using , we get . (Matches)
- For : . Using , we get . (Matches)
- For : . Using , we get . (Matches)
- For : .
- Option (A): . (Matches)
- Option (D): . (Does not match)
- For : .
- Option (A): . (Matches)
- For : .
- Option (A): . (Matches)
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