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## Hundredth Digit

This topic has 1 expert reply and 12 member replies
alexi_laiho Junior | Next Rank: 30 Posts
Joined
05 Aug 2008
Posted:
22 messages
1

#### Hundredth Digit

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

dhanda.arun Senior | Next Rank: 100 Posts
Joined
31 Jul 2008
Posted:
52 messages
5
Tue Aug 12, 2008 1:42 pm
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

pepeprepa Legendary Member
Joined
08 Jul 2008
Posted:
661 messages
48
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

jsl Master | Next Rank: 500 Posts
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04 Jun 2008
Posted:
203 messages
5
GMAT Score:
650
Wed Aug 06, 2008 6:31 am

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

alexi_laiho Junior | Next Rank: 30 Posts
Joined
05 Aug 2008
Posted:
22 messages
1
Wed Aug 06, 2008 6:40 am
the OA is 4..

gmattester Master | Next Rank: 500 Posts
Joined
31 Oct 2007
Posted:
172 messages
1
Fri Aug 08, 2008 7:45 am
Answer should be E and not D.
Can someone verify this.

Vignesh.4384 Master | Next Rank: 500 Posts
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28 Jun 2008
Posted:
443 messages
5
Fri Aug 08, 2008 8:12 am
IMO E

alexi_laiho Junior | Next Rank: 30 Posts
Joined
05 Aug 2008
Posted:
22 messages
1
Fri Aug 08, 2008 8:35 am

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

mals24 Legendary Member
Joined
22 Jul 2008
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683 messages
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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

sumanal Newbie | Next Rank: 10 Posts
Joined
11 Jul 2008
Posted:
8 messages
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!!

Suyog Master | Next Rank: 500 Posts
Joined
17 Aug 2006
Posted:
315 messages
23
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

http://www.beatthegmat.com/integer-bouncer-t14333.html#59293

yserious Junior | Next Rank: 30 Posts
Joined
20 Dec 2009
Posted:
13 messages
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??

alexprester Newbie | Next Rank: 10 Posts
Joined
13 Jun 2010
Posted:
1 messages
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

### GMAT/MBA Expert

GMATGuruNY GMAT Instructor
Joined
25 May 2010
Posted:
14042 messages
Followed by:
1813 members
13060
GMAT Score:
790
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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