How many even multiples of 3 are there between 127 and 390?

A. 41

B. 42

C. 43

D. 84

E. 85

Answer Show

Solution:

Find the first and last even multiples of 3 within the range: 132 and 384. Find the number of numbers in the range (inclusive) 384-132 + 1 = 253. Divide that number by 3. 84 R. 1. We only want evens so the number will be half of that. The remainder counts as an even because we have an odd number of numbers starting and ending with an even. So you have 43 even numbers and 42 odd numbers.

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