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Question
How many three-digit numbers are divisible by 9?
Options
86
90
96
100
MCQ
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Solution
100
Explanation:
Three-digit numbers divisible by 9 are 108, 117, 126, ..., 999.
Let Tn = 999.
Then, 108 + (n – 1) × 9 = 999.
∴ (n – 1) × 9 = 891
⇒ (n – 1) = 99
⇒ n = 100
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