Three consecutive even integers, p, q, and r, fall between 18 and 28. What could be the average (arithmetic mean) of p, q, and r?
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thankss
thank you for sharing
Thanks for posting! Just posted another explanation
Thanks for posting! Just posted another explanation
Wait, don't even need to add them up lol. Consecutive even integers are symmetric around the middle one, so the average is just q. q has to be even and between 18 and 28, only 22 fits. Took me 5 seconds.
oh that's a nice shortcut, I was out here listing 20,22,24 like a chump
thanks, this one was pretty chill. Just listed 20 22 24 and averaged.
same, got 22. easy points
does the set have to be 20,22,24 though? like could it be 18,20,22 or 24,26,28?
question says they fall BETWEEN 18 and 28, so 18 and 28 are excluded and the only triple left inside is 20,22,24. good catch tho, the wording matters here
for anyone overthinking, remember consecutive evens are evenly spaced so the mean = median = middle term. that kills choices like 19 and 25 right away since the middle term must be even.
What it tests
Your command of divisibility, primes, factors, parity, and how the GMAT tests properties of integers.
Common trap
Forgetting that 1 is not prime, that 0 is divisible by every integer, or that negative numbers flip your assumptions.