You Won’t Believe What ‘Bland Diet for Dogs’ Did to Your Pup’s Upset Stomach!


Solution: A number divisible by both 9 and 11 must be divisible by their least common multiple. Since 9 and 11 are coprime,
We need to count the number of 4-digit numbers divisible by 99. The smallest 4-digit number is 1000, and the largest is 9999.
The number of multiples from 11th to 101st is:
Question: Three solar panels on a Mars habitat generate a total of 72 kilowatt-hours (kWh) over a 6-day cycle. If each panel produces the same amount per day, how many kilowatt-hours does one panel generate in 2 days?
Solution: First, compute the total daily generation for all three panels:
Now, in 2 days, one panel generates:
We want the largest such $ v $. Take the square root of 1000:
So $ v < 31.62 $. The largest multiple of 5 less than 31.62 is 30.
Question: What is the arithmetic mean of all two-digit numbers divisible by both 4 and 6?
Solution: A number divisible by both 4 and 6 must be divisible by their least common multiple. Since