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What is the largest number less than 1000 which is odd leaves a remainder of 2 when divided by 3 and a remainder of 4 when divided by 5?
989. If there is a remainder of 2 when divided by 3, the number is one less than a multiple of 3. If there is a remainder of 4 when divided by 5, the number is one less than a multiple of 5. Thus the number required is one less than a multiple of the lowest common multiple of 3 and 5 (that is 15). So what is needed is an even multiple of 15 less than or equal to 1000: 1000 ÷ 15 = 662/3 Thus the highest even multiple of 15 not greater than 1000 is 66 x 15 = 990, and the required number is 989.
Prove 2a-1 is odd?
3
What is even number less than 50?
and even # less than 50 is any number smaller than 50 ending in the number 2,4,6,8,0
Given a pair of numbers how can you tell whether their least common multiple will be less than or equal to their product?
Given any number, there is an even number that exists greater than it. That even number is a product: of 2 and some number. Therefore, the number that you started with is less than the product of a pair of numbers.
You are a number cubed you are greater than 20 but less than 50 you are a multiple of 9 what number are you?
27
