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How many numbers less than 700 are divisible by both 15 and 21?
How many numbers less than 700 are divisible by both 15 and 21?
What are all the numbers less than or equal to 50 and divisible by 5?
There are infinitely many of them and they can be summarised as: {5n | n ≤ 10}
Are negative numbers greater than less than or equal to positive numbers?
Less than.
How many numbers less than 100000000000000 are not divisible by 4?
75,000,000,000 of them.
How many whole numbers less than 50 are divisible by 5 or 7 but not both?
14. Assuming dealing with only counting numbers (ie integers greater than 0): Numbers divisible by 5 or 7 are their multiples. 50 ÷ 5 = 10 → last multiple of 5 less than 50 is 9 x 5 → 9 numbers less than 50 are divisible by 5 50 ÷ 7 = 71/7 → last multiple of 7 less than 50 is 7 x 7 → 7 numbers less than 50 are divisible by 7 Numbers divisible by both are those which are multiples of their lowest common multiple = 35 50 ÷ 35 = 115/35 → last multiple of 35 less than 50 is 1 x 35 → 1 number less than 50 is divisible by both 5 and 7 and needs to be removed from both the above counts. → (9 - 1) + (7 - 1) = 14 numbers less than 50 are divisible by 5 or 7 but not both. If there is no restriction on numbers being greater than 0, there are infinitely many numbers as it includes the infinite number of negative numbers which are all less than 50 and provide an infinite number of numbers divisible by 5 or 7 but not both.
