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Hundredth Digit

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by alexi_laiho » Wed Aug 06, 2008 6:11 am
f digit h is the hundredths' digit in the decimal d = 0.2h6, what is the value of d, rounded to the nearest tenth?
(A) d < l/4
(B) h < 5


1. statement (A) alone is sufficient but statement (B) alone is not
2. statement (B) alone is sufficient but statement (A) alone is not
3. both (A) and (B) together are sufficient but none of them alone is sufficient
4. both statements are sufficient independently
5. both (A) and (B) together are not sufficient

Please provide the answer with explanations :)...thanks in advance
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Source: — Data Sufficiency |
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by jsl » Wed Aug 06, 2008 6:31 am
Is the answer E?

if h = 0, 1, 2, 3 then d = 0.2
if h = 4, 5, 6, 7, 8, 9 then d = 0.3

1) d < 0.25 therefore, the number could span both categories (includes 4 from the above category). Therefore insufficient

2) h < 5 in the same vein as above, the number could span both categories.

With both statements together, the number still spans both categories as a number less than 0.25 still includes 4 and therefore d can round to both 0.2 or 0.3
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by alexi_laiho » Wed Aug 06, 2008 6:40 am
the OA is 4..:(
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by gmattester » Fri Aug 08, 2008 7:45 am
Answer should be E and not D.
Can someone verify this.
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by Vignesh.4384 » Fri Aug 08, 2008 8:12 am
IMO E
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by alexi_laiho » Fri Aug 08, 2008 8:35 am
The answer is D


Tenth digit is the digit after the decimal point.....which is 2 in this case


d = 0.2h6


(A) d < l/4, which means d < 0.25, given d = 0.2h6 so d can have the values 0.21,0.22,0.23 and 0.24. Rounded to the nearest tenth digit it is always 0.2.So A sufficient.

(B)h < 5 which means d can have the values 0.216,0.226,0.236 and 0.246. Rounded to the nearest tenth digit it is always 0.2 so B is sufficient

Hence Option D
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by mals24 » Fri Aug 08, 2008 12:23 pm
IMO D

1. D<1/4 or <0.25
so the value of h=0,1,2,3,4
The value of the tenth digit remains 2 in each case

2. h,5, so the value of h=0,1,2,3,4.
The value of tenth digit remains 2 in each case

so both st alno are SUFF
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by sumanal » Mon Aug 11, 2008 10:08 am
I have a doubt..

given statement 1. if h is 4 then by rounding off the digit next to it 6( in 0.2h6) will give us .25 then the value of d will be .3 instead of 0.25 when h<3..

kindly clarify this point!!
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by Suyog » Mon Aug 11, 2008 1:09 pm
A quick review:

2,436.789

2 is the thousands digit
4 is the hundreds digit
3 is the tens digit
6 is the units (or ones) digit
7 is the tenths digit
8 is the hundredths digit
9 is the thousandths digit


Read Stuart Kovinsky's explanation carefully...

https://www.beatthegmat.com/integer-boun ... html#59293
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by pepeprepa » Mon Aug 11, 2008 1:53 pm
0.246 rounded to the nearest tenth gives 0.2
Just draw a line: you have 0.2--------X---0.25-------------0.3
X is where 0.246 is
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by dhanda.arun » Tue Aug 12, 2008 1:42 pm
IMO answer is D
1. d<1/4
=> d< .25
=> h (1,2,3,4)
in any case d = .2 if rounded to tenth place

2. if h<5
same logic follows as above
so
answer is D :o
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by yserious » Fri Jan 01, 2010 11:39 pm
sumanal wrote:I have a doubt..

given statement 1. if h is 4 then by rounding off the digit next to it 6( in 0.2h6) will give us .25 then the value of d will be .3 instead of 0.25 when h<3..

kindly clarify this point!!
Can anyone help here?Why GMAT does not consider this as a possibility?The OA is D for this??
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by alexprester » Sun Jun 13, 2010 1:58 am
yserious wrote:
sumanal wrote:I have a doubt..

given statement 1. if h is 4 then by rounding off the digit next to it 6( in 0.2h6) will give us .25 then the value of d will be .3 instead of 0.25 when h<3..

kindly clarify this point!!
Can anyone help here?Why GMAT does not consider this as a possibility?The OA is D for this??
pepeprepa wrote:Just draw a line: you have 0.2--------X---0.25-------------0.3
The tenths digit (which can be 0.1 or 0.2 or 0.3 or 0.4 or...so on) that is nearest to 0.246 is 0.2 and not 0.3. Look at the number line. X = 0.246. X is closest to which tenth ?

Do not round 0.246 ->0.25 and then 0.25 -> 0.3
Rounding 0.246 to nearest hundredths digit is 0.246 is 0.246->0.25
Rounding 0.246 to nearest tenth is 0.2

Work with number line as much as possible. It'll make life simpler for you :)
Hope it helps :) :)
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by GMATGuruNY » Mon Jun 14, 2010 3:22 am
With DS problems, I always ask myself the following three questions:

What do I want?
What do I have?
What do I need?

With DS problems, the goal is not to solve but to see whether the statement gives you sufficient information to solve. In other words: Is the statement giving me what I need?

In this case:

What do I want? What is the question asking for? In this case, the value of d rounded to the nearest tenth.
What do I have? Before I look at the two statements, what information have I been given? In this case, that d = .2h6
What do I need? In order to answer the question, what additional information is needed? In this case, the value of h. If h < 5, then rounded to the nearest tenth d = .2; if h >= 5, then rounded to the nearest tenth d = .3.

So when I examine the two statements, what I need is the answer to this question:

Is h < 5?

Statement 1: If d < .25, then h can't be 5, because .256 > .25. So statement 1 tells me that h < 5. SUFFICIENT.

Statement 2: This statement tells me outright that h < 5. SUFFICIENT.

Since each statement is sufficient, the correct answer is D.
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