alleryHow many three-digit numbers are divisible by 6?
A140
B165
C150
D120
Answer & Solution
Correct answer: C. 150
1. Smallest 3-digit multiple of 6 is 102; largest is 996.
2. n = (996 - 102)/6 + 1 = 894/6 + 1.
3. = 149 + 1 = 150.
4. So the count is 150.
_Source: Selina Concise Mathematics Class 10, Ch on Arithmetic Progression (Mistral OCR'd PDF), section on count problems_
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