A number theory problem by أحمد الحلاق
Number Theory
Level
pending
Find the number of integers between 1 and 1001 that are divisible by 4, but not divisible by 6.
132
209
167
83
250
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1 solution
There are 250 numbers that is divisible by 4(1000/4=250).But we have to count which are not divisible by 6.So the numbers are the multiple of lcm(6,4) which mean 12. There are 83 numbers like these(1001/12=83.42 which mean 83),So the answer is (250-83)=167....