If s and t are psoitive integers such taht s/t = 64.12, wich of the following could be the remainder when s is divided by t?
2
4
8
20
45
45
2
4
8
20
45
45
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Source: Beat The GMAT — Problem Solving |
I think the answer is E
0.12 = 3/25
which means the remainder should be a multiple of 3 and the only ans choice that fulfills this condition is E
whats the OA
0.12 = 3/25
which means the remainder should be a multiple of 3 and the only ans choice that fulfills this condition is E
whats the OA
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.12 = 3/25. None of the answers are integers when multiplied by 3/25.simplyjat wrote:The question is asking: what is the value of x such that 0.12 * x is an integer...
Where exactly is this question from? I can't find it in the OG (11th ed).
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Given: s/t=64.12
we can write this as 6412/100
or 1603/25 (divide numerator and denominator by 4)
't' is a positive integer, so it has to be 25 or a multiple of 25.
similarly, 's' has to 1603 or its multiple.
The remainder of 1603/25 is 3. So, for any other multiple of 1603/25, the remainder will be a multiple of 3.
From the given choices, only E is divisible by 3. Thus, E is the answer.
we can write this as 6412/100
or 1603/25 (divide numerator and denominator by 4)
't' is a positive integer, so it has to be 25 or a multiple of 25.
similarly, 's' has to 1603 or its multiple.
The remainder of 1603/25 is 3. So, for any other multiple of 1603/25, the remainder will be a multiple of 3.
From the given choices, only E is divisible by 3. Thus, E is the answer.
Thsi was from GMAT Preptests.
FYI - I hide the answer as a spoiler so you can just put your cursor over the black box to see the answer. It encourges you to actually go through with it! Thanks all!
FYI - I hide the answer as a spoiler so you can just put your cursor over the black box to see the answer. It encourges you to actually go through with it! Thanks all!
