Hundredth Digit

This topic has expert replies
Junior | Next Rank: 30 Posts
Posts: 22
Joined: Tue Aug 05, 2008 6:36 am
Thanked: 1 times

Hundredth Digit

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

Master | Next Rank: 500 Posts
Posts: 203
Joined: Wed Jun 04, 2008 1:01 am
Location: Windsor
Thanked: 5 times
GMAT Score:650

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

Junior | Next Rank: 30 Posts
Posts: 22
Joined: Tue Aug 05, 2008 6:36 am
Thanked: 1 times

by alexi_laiho » Wed Aug 06, 2008 6:40 am
the OA is 4..:(

Master | Next Rank: 500 Posts
Posts: 172
Joined: Wed Oct 31, 2007 11:21 am
Thanked: 1 times

by gmattester » Fri Aug 08, 2008 7:45 am
Answer should be E and not D.
Can someone verify this.

Master | Next Rank: 500 Posts
Posts: 443
Joined: Sat Jun 28, 2008 6:33 pm
Thanked: 5 times

by Vignesh.4384 » Fri Aug 08, 2008 8:12 am
IMO E

Junior | Next Rank: 30 Posts
Posts: 22
Joined: Tue Aug 05, 2008 6:36 am
Thanked: 1 times

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

Legendary Member
Posts: 683
Joined: Tue Jul 22, 2008 1:58 pm
Location: Dubai
Thanked: 73 times
Followed by:2 members

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

Newbie | Next Rank: 10 Posts
Posts: 8
Joined: Fri Jul 11, 2008 8:28 am

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!!

Master | Next Rank: 500 Posts
Posts: 315
Joined: Thu Aug 17, 2006 10:43 pm
Thanked: 23 times

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

Legendary Member
Posts: 661
Joined: Tue Jul 08, 2008 12:58 pm
Location: France
Thanked: 48 times

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

User avatar
Senior | Next Rank: 100 Posts
Posts: 52
Joined: Thu Jul 31, 2008 12:30 pm
Thanked: 5 times

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

Junior | Next Rank: 30 Posts
Posts: 13
Joined: Sun Dec 20, 2009 11:43 am

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??

Newbie | Next Rank: 10 Posts
Posts: 1
Joined: Sun Jun 13, 2010 1:47 am

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 :) :)

User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pm
Location: New York, NY
Thanked: 13060 times
Followed by:1906 members
GMAT Score:790

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.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3