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What is the proof that there are 2 numbers in this sequence that differ by a multiple of 12345678987654321? We want to count the number of times the digit $5$ appears in the list of positive integers from $1$ to $1000$. It means 26 million thousands
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Essentially just take all those values and multiply them by $1000$ One of them is known to be sick, while the other $999$ are healthy So roughly $\$26$ billion in sales.
In a certain population, 1% of people have a particular rare disease
A diagnostic test for this disease is known to be 95% accurate when a person has the disease and 90% accurate when a person doe. You have a 1/1000 chance of being hit by a bus when crossing the street However, if you perform the action of crossing the street 1000 times, then your chance of being. Number of ways to invest $\$20,000$ in units of $\$1000$ if not all the money need be spent ask question asked 2 years, 7 months ago modified 2 years, 7 months ago
Given that there are $168$ primes below $1000$ Then the sum of all primes below 1000 is (a) $11555$ (b) $76127$ (c) $57298$ (d) $81722$ my attempt to solve it We know that below $1000$ there are $167$ odd primes and 1 even prime (2), so the sum has to be odd, leaving only the first two numbers. What do you call numbers such as $100, 200, 500, 1000, 10000, 50000$ as opposed to $370, 14, 4500, 59000$ ask question asked 13 years, 9 months ago modified 9 years, 5 months ago
I came across this brainteaser online that i found quite confusing
There are $1000$ people having dinner at a grand hall
