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The following question requires that we identify two
Number Properties relationships - neither Picking Numbers nor Backsolving
will work here. Let's work through the problem below, using our knowledge
of Number Properties to get to the correct answer. Review the question,
and then proceed to the task below.
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1:
2:
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According to the question stem, our integers
are products of an even number. Since even numbers always produce even
products, our integers must also be even.
Combining our rules, we know we are looking for
all numbers less than 60 that end in either a 5 or a 0 AND are even.
Numbers that end in 5, however, are not even, so we're left with all numbers
less than 60 that end in 0: 10, 20, 30, 40, 50 (remember — 0 is not
a multiple of 5, so it is not represented here).
Each of the numbers listed above is a multiple
of 5 and the product of an even number. No other numbers fit these characteristics,
so our total is 5. Choice (B) is correct.
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