If r is represented by the decimal 0.t5, what is the digit ?

Question

If r is represented by the decimal 0.t5, what is the digit t?

(1) r<1/3 
(2) r<1/10

uday1409 · Answer

1. r<1/3 < 0.333
0.25;0.15;0.05 are possible
Insufficient

2. r<1/10 = 0.1
r<0.1
only 0.05 is possible here. digit is 0;Sufficient

So Ans B

beattheheat · Answer

Solution: If r=0.t5, determine t? Statement 1: r<1/3 r< 0.33 --> t can be {0,1,2} -- Insufficient Statement 2: r<1/10 r<0.10 --> t=0 -- Sufficient Answer B

qw1981 · Answer

S(1): Gives r<1/3 ==> r<0.33 approx. Hence it can be 1 or 2. Thus N.S

S(2): Gives r<1/10 ==> r<0.10. Hence the only option possible for t is 0 as every other digit (0.15, 0.25 etc) will be more than 0.10. Hence Suff.

Thus answer B.

syamen · Answer

St-1 implies r < 0.333 so t can have values 0,1,2. Not sufficient
St-2 implies r < 0.10 so t can be only '0' i.e., r = 0.05 Sufficient

g106 · Answer

r=0.t5

1) r<1/3; so r could be .05,.15,.25 - not sufficient
2) r<1/10; so r should be .05 - sufficient

Ans B

TheUltimateWinner · Answer

Note:   we can not consider negative value of 'r' (-0.05, -0.15 etc) in both statement because our decimal point is positive (0.t5).

TheUltimateWinner · Answer

Hello  Bunuel   IanStewart 
What if the question is in a little bit changed version something like the below? Is the correct choice is E this time?
Thanks__
If r is represented by the decimal  - 0.t5, what is the digit t?

(1)  r<\frac{1}{3} 
(2)  r<\frac{1}{10}

Orif94 · Answer

If r is represented by the decimal 0.t5, what is the digit t?

(1) r<1/3
(2) r<1/10

To answer this question I determined the options for t that could be 0, 1, 2,..9. Then I analyzed each statement separately. For example, 1st statements tells us that r<1/3 or 0.333, so t could be 0, 1, or 2, such as 0.05, 0.15, 0.25 so that r must be less than 1/3 or 0.333. It is clear that there is no single choice for t that can satisfies the question. 1 st Statement is insufficient. 
Looking at the 2nd statement, r<1/10 or 0.1, in this case t could equal to only 0, that is 0.05, in order for r to be less than 0.1. So, This statement is sufficient.

To conclude, correct answer is B.

rreiki · Answer

I tend to skim over questions hurriedly and get them wrong. in my initial assessment, the statement r = 0.t5 did not register as a positive value at all. the statement clearly shows r is a positive decimal.

(1) when r < 1/3, r < 0.333... then the value can be 0.05 or 0.15. not sufficient.
(2) when r < 1/10...then the value can only be 0.05 in which case t= 0. sufficient.

Answer is B.

this is a reminder for me to read effectively and also to process my error log better. Please do let me know if I made a mistake in my explanation.

cheers.

sahuanamika · Answer

Here the equation is :
r = 0.t5

1. r<1/3 which means 0.33
so , the possible values of r can be 0.25,0.15,0.05. So it is insufficient

2. r<1/10 = 0.1
r<0.1
only 0.05 is possible here. So it is Sufficient

Ans B

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If r is represented by the decimal 0.t5, what is the digit ?

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