If r is represented by the decimal 0.t5 what is the digit t ?
1) r < 1/3
2) r < 1/10
Can't seem to wrap my mind around the solution. Thanks for your help.
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ldoolitt
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Interesting, I've never seen a problem like this before but I'll give it a shot...
Looking at it from the set perspective (which is my preferred strategy), the allowable set from the stem is
{.95, .85, .75, ..., .05}
Lets see how each of the statements alter that
(1) r < 1/3
this lessens the set to
{.25, .15, .05}
this is insufficient since the set still contains multiple values
(2) r < 1/10
the set is now
{.05}
there is a single number left in the possible set (this statement restricts t to 0) so this is sufficient.
Looking at it from the set perspective (which is my preferred strategy), the allowable set from the stem is
{.95, .85, .75, ..., .05}
Lets see how each of the statements alter that
(1) r < 1/3
this lessens the set to
{.25, .15, .05}
this is insufficient since the set still contains multiple values
(2) r < 1/10
the set is now
{.05}
there is a single number left in the possible set (this statement restricts t to 0) so this is sufficient.
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MAAJ
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Edit: Now that I think about it, I would pick (C) 'cause the decimal 0.t5 doesn't have the minus sign (-) before 0, thus I guess it should be a positive decimal...
IMO [spoiler](E)[/spoiler], BUT if there's a constraint that "r" must be a positive number, then I would change my answer to [spoiler](C)[/spoiler]
r = 0.t5(decimal) t=?
1) r < 1/3
r < 0.33...
r could be 0.25, 0.15, 0.05, -0.05, -0.15, -0.25, -0.35 etc...
So t could be any number...
2) r < 1/10
r < 0.10
r could be 0.05, -0.05, -0.15, -0.25, -0.35 etc...
So t could be again any number...
1) and 2) Combined:
r could be 0.05, -0.05, -0.15, -0.25, -0.35 etc...
As we saw, t could be any number...
IMO [spoiler](E)[/spoiler], BUT if there's a constraint that "r" must be a positive number, then I would change my answer to [spoiler](C)[/spoiler]
r = 0.t5(decimal) t=?
1) r < 1/3
r < 0.33...
r could be 0.25, 0.15, 0.05, -0.05, -0.15, -0.25, -0.35 etc...
So t could be any number...
2) r < 1/10
r < 0.10
r could be 0.05, -0.05, -0.15, -0.25, -0.35 etc...
So t could be again any number...
1) and 2) Combined:
r could be 0.05, -0.05, -0.15, -0.25, -0.35 etc...
As we saw, t could be any number...
anartey wrote:If r is represented by the decimal 0.t5 what is the digit t ?
1) r < 1/3
2) r < 1/10
Can't seem to wrap my mind around the solution. Thanks for your help.
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ldoolitt
- Master | Next Rank: 500 Posts
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- Joined: Sat Apr 14, 2007 9:23 am
- Location: Madison, WI
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Yeah I don't think that a digit has a sign and thus can't change the sign of the entire number. But I may be wrong...MAAJ wrote:Edit: Now that I think about it, I would pick (C) 'cause the decimal 0.t5 doesn't have the minus sign (-) before 0, thus I guess it should be a positive decimal...
