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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.
What is the greatest multiple of 4 that is less than 30?
The multiples of 4 that are less than 30 are 4, 8, 12, 16, 20, 24, 28. So the greatest multiple of 4 that is less than 30 is 28.
What is the biggest multiple of 4 that is less than 100?
As 100 = 4 x 25 the biggest multiple of 4 less than 100 is 4 x (25 -1) = 96
What multiple of 4 is greater than 16 but less than 24?
4 x 5 = 20
I am less than 100 and a multiple of 3 4 and 5 What am I?
60
