How many even multiples of 9 are there from 1–1,000, inclusive?
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got 56 by taking 1000/18 and rounding down, is that the right way to think about it?
yes — even multiples of 9 are just multiples of 18, so it's floor(1000/18)
oh nice, that's way faster than listing them out like I started doing
tricky wording — I initially counted all multiples of 9 and forgot they had to be even too. classic trap.
same, I saw 111 and almost picked it before rereading
the last multiple under 1000 is 990, which is 55*18. so 1 through 55 gives you 55 numbers... wait, is 18 itself included?
yeah 18 counts, so don't subtract anything
solid 600-level question. the even + multiple of 9 combo is a nice little twist.
What it tests
Your fluency with the order of operations, fractions, decimals, and basic number sense — the foundation every quant question leans on.
Common trap
Applying the order of operations out of sequence or rounding intermediate values before the final step.