The number of four-digit integers which are greater than 1000 and divisible by both 2 and 3, but not by 5, is
Question and options
The number of four-digit integers which are greater than 1000 and divisible by both 2 and 3, but not by 5, is
- 1333
- 1666
- 1200
- 1500
Answer and explanation
Correct answer: C - 1200
Four-digit multiples of 6: 1002 to 9996, (9996-1002)/6+1=1500. Of these, multiples of 30: 1020 to 9990, 300. Answer 1500-300=1200.
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