Given year is positive, which expressions for XXX, YYY, and ZZZ will output the correct range? Choices are in the form XXX / YYY / ZZZ.

If XXX: Output "1-100"
Else If YYY: Output "101-200"
Else If ZZZ: Output "201-300"
Else: Output "Other"

Question

Given year is positive, which expressions for XXX, YYY, and ZZZ will output the correct range? Choices are in the form XXX / YYY / ZZZ.

If XXX: Output "1-100"
Else If YYY: Output "101-200"
Else If ZZZ: Output "201-300"
Else: Output "Other"

BlackTom AI · Accepted Answer

Using chained else-if logic, the first condition that evaluates to true is taken, so each branch should be expressed as an upper bound that excludes values already handled by earlier branches: year < 101 / year < 201 / year < 301. 1) Relevant concepts - else-if chaining: once a true condition is found, later conditions are skipped. - Inclusive integer ranges: "1-100" must include 100, "101-200" must include 101 and 200, etc. - Given that year is positive, you can use only upper bounds to partition consecutive ranges. 2) Step-by-step reasoning - If XXX is year < 101, this is true for years 1 through 100 (because 1 ≤ year < 101). So the first branch outputs "1-100" for all those values. - If year is 101 or greater, year < 101 is false and control falls to the next else-if. - YYY as year < 201 will then be true for year values 101 through 200 (101 ≤ year < 201), causing the second branch to output "101-200". - If year ≥ 201, both prior tests are false and the third test ZZZ as year < 301 will be true for 201 through 300 (201 ≤ year < 301), producing "201-300". - Any year ≥ 301 falls through to the final Else and yields "Other". 3) Intermediate checks (examples) - year = 50: year < 101 true → "1-100" - year = 100: year < 101 true → "1-100" - year = 150: year < 101 false, year < 201 true → "101-200" - year = 250: first two false, year < 301 true → "201-300" - year = 350: all three false → "Other" 4) Why the correct answer is correct Using successive upper bounds with strict less-than operators creates contiguous, non-overlapping, inclusive integer ranges that align exactly with 1–100, 101–200, and 201–300 when combined with the else-if ordering. 5) Why other options are incorrect - "year > 0 / year > 100 / year > 200": year > 0 is true for every positive year, so the first branch always runs and later branches never execute. - "year > 0 / year > 99 / year > 199": same problem—the first condition captures all positives. - "year < 100 / year < 200 / year < 300": misses boundary values (e.g., year = 100 yields false for year < 100 and true for year < 200, so 100 would incorrectly go into "101-200"). 6) Conclusion The correct expressions are year < 101 / year < 201 / year < 301, which matches the provided answer.

Given year is positive, which expressions for XXX, YYY, and ZZZ will output the correct range? Choices are in the form XXX / YYY / ZZZ. If XXX: Output "1-100" Else If YYY: Output "101-200" Else If ZZZ: Output "201-300" Else: Output "Other"Single choice

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