Algebra - Number System - Previous Year IPM/BBA Questions
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The number of four-digit integers which are greater than 1000 and divisible by both 2 and 3, but not by 5, is
- (a)
1333
- (b)
1666
- (c)
1200
- (d)
1500
Answer: Option C
Text Explanation :
Required numbers
= Numbers which are divisible by both 2 and 3 - Numbers which are divisible by both 2, 3 and 5
= Numbers which are divisible by 6 - Numbers which are divisible by 30
Total number of 4 digit numbers = 9999 - 999 = 9000
Number of 4 digit numbers divisible by 6 = 9000/6 = 1500
Number of 4 digit numbers divisible by 30 = 9000/30 = 300
Required numbers = 1500 - 300 = 1200.
Hence, option (c).
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