If r is represented by the decimal 0.t5 what is the digit t ?
1) r < 1/3
2) r < 1/10
i researched this question on the btg site but it doesnt look like a lot of people answered it ... PLEASE HELP
OG answer is b
If r is represented ....
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Option 1, r<1/3 or r<0.33 (aprox)factor26 wrote:If r is represented by the decimal 0.t5 what is the digit t ?
1) r < 1/3
2) r < 1/10
i researched this question on the btg site but it doesnt look like a lot of people answered it ... PLEASE HELP
OG answer is b
As r= 0.t5; Here t can be 0,1 or 2. All of them are less than 0.33 (No unique solution)
Hence, 1) is not sufficient.
Option 2, r<0.1
Now, only t=0 satisfies 0.05<0.1
Hence, option 2 is sufficient. Answer is B)
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Kanwar
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Kanwar
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r=0.t5
st(1) r<1/3 OR 0.t5<1/3, 3*0.t5<1 which is equivalent to 0.(t+1)5<1. It's clear that t can be {0,1,2,3,4,...} Not Sufficient
st(2) r<1/10 by applying the same logic as in st(1) we get 10*0.t5<1 and t.5<1 which is only possible for t=0 Sufficient
ans is B
st(1) r<1/3 OR 0.t5<1/3, 3*0.t5<1 which is equivalent to 0.(t+1)5<1. It's clear that t can be {0,1,2,3,4,...} Not Sufficient
st(2) r<1/10 by applying the same logic as in st(1) we get 10*0.t5<1 and t.5<1 which is only possible for t=0 Sufficient
ans is B
factor26 wrote:If r is represented by the decimal 0.t5 what is the digit t ?
1) r < 1/3
2) r < 1/10
i researched this question on the btg site but it doesnt look like a lot of people answered it ... PLEASE HELP
OG answer is b
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(1) r < 1/3 implies r can be 0.25, 0.15, or 0.05. Since we do not get a definite answer, so (1) is NOT sufficient.factor26 wrote:If r is represented by the decimal 0.t5 what is the digit t ?
1) r < 1/3
2) r < 1/10
i researched this question on the btg site but it doesnt look like a lot of people answered it ... PLEASE HELP
OG answer is b
(2) r < 1/10 or r < 0.10 implies r can be 0.05, so the only possibility for digit t is 0; SUFFICIENT.
The correct answer is B.
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I think the correct answer should be "E". Because you are not restricted to positive values. So, even the 2nd statement is insufficient.
For instance: if r =0.05, then t=0
if r = -0.15, then t = 1 and so on.
It should be mentioned that the decimal number is positive, in that case the right answer would be "B"
For instance: if r =0.05, then t=0
if r = -0.15, then t = 1 and so on.
It should be mentioned that the decimal number is positive, in that case the right answer would be "B"
I also thought the same initially, but upon further inspection the question stem indirectly tells you that you are restricted to positive values since R=0.t5 and therefore it is not possible for R=-0.t5I think the correct answer should be "E". Because you are not restricted to positive values. So, even the 2nd statement is insufficient.
For instance: if r =0.05, then t=0
if r = -0.15, then t = 1 and so on.
It should be mentioned that the decimal number is positive, in that case the right answer would be "B"
with that logic if r is less than 0.1 and it has to have a 5 in the 100th's digit the only possible value for r would then be 0.05---> t is equal to 0 and so B is sufficient
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Can we be sure that in GMAT if the question is given in the form of R=0.abc then we should restrict ourselves to only positive value and not assume the negative values?I also thought the same initially, but upon further inspection the question stem indirectly tells you that you are restricted to positive values since R=0.t5 and therefore it is not possible for R=-0.t5
with that logic if r is less than 0.1 and it has to have a 5 in the 100th's digit the only possible value for r would then be 0.05---> t is equal to 0 and so B is sufficient