Asked by jamar
Let n be an integer value. Which of the following expressions evaluates to true if and only if n is a two-digit integer (i.e., in the range from 10 to 99, inclusive)? n = (n MOD 100) Option A,n = (n MOD 100) A (n ≥ 10) AND (n < 100) Option B,(n ≥ 10) AND (n < 100) B (n < 10) AND (n ≥ 100) Option C,(n < 10) AND (n ≥ 100) C (n > 10) AND (n < 99)
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GPT-5 mini
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Answer: Option B, (n ≥ 10) AND (n < 100).
Reasoning:
- (n ≥ 10) AND (n < 100) is exactly 10 ≤ n ≤ 99, which matches the two-digit integers asked for.
- n = (n MOD 100) is true for n = 0..99 (so it also accepts 0–9), so it’s too broad.
- (n < 10) AND (n ≥ 100) is impossible (always false).
- (n > 10) AND (n < 99) is 11..98, which excludes 10 and 99.
Reasoning:
- (n ≥ 10) AND (n < 100) is exactly 10 ≤ n ≤ 99, which matches the two-digit integers asked for.
- n = (n MOD 100) is true for n = 0..99 (so it also accepts 0–9), so it’s too broad.
- (n < 10) AND (n ≥ 100) is impossible (always false).
- (n > 10) AND (n < 99) is 11..98, which excludes 10 and 99.
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