ccassel wrote:Hi,
How would you explain the answer to this question?
If s and t are positive integers such that s/t=64.12, which of the following could be the remainder when s is divided by t?
(a) 2
(b) 4
(c) 8
(d) 20
(e) 45
When one number doesn't divide evenly into another number, we can represent what's left over either as a decimal (5/2 = 2.5) or as a remainder (5/2 = 2 R 1). The problem above is testing the relationship between the decimal representation and the remainder representation. Here's the relationship:
decimal * divisor = remainder
Let's revisit 5/2 = 2.5. If we multiply the decimal (.5) by the divisor (2), we get .5 * 2 = 1, which is the remainder if we represent the division as 5/2 = 2 R1.
In the problem above the decimal is .12, the divisor is t, and the remainder is one of the answer choices. So .12t = answer choice. The problem stipulates that t must be an integer. Which answer choice yields an integer value for t?
Only answer choice E works:
.12t = 45
t =45/.12 = 4500/12 = 375.
The correct answer is
E.
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