nearest thousandth?

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Sat Oct 08, 2011 3:36 am

What is the approximation of 0.05/ (1 - 0.05) to the nearest thousandth?
(A) -1.000
(B) 0.048
(C) 0.053
(D) 0.100
(E) 1.250

The mind is everything. What you think you become. -Lord Buddha

Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com

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Source: Beat The GMAT — Problem Solving | Sat Oct 08, 2011 3:36 am

shankar.ashwin: Legendary Member; Posts: 966; Joined: Sat Jan 02, 2010 8:06 amFollowed by: 21 members; Thanked: 230 times

by shankar.ashwin » Sat Oct 08, 2011 3:41 am

0.05/0.95 = 1/19 (approx greater than 1/20 which is 0.05)
C IMO

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Abhishek009: Master | Next Rank: 500 Posts; Posts: 359; Joined: Wed Mar 11, 2009 4:37 amFollowed by: 2 members; Location: Kolkata, India; Thanked: 50 times

by Abhishek009 » Sat Oct 08, 2011 5:09 am

sanju09 wrote:What is the approximation of 0.05/ (1 - 0.05) to the nearest thousandth?
(A) -1.000
(B) 0.048
(C) 0.053
(D) 0.100
(E) 1.250

(1 - 0.05) = 0.95

Now we have 0.05/0.95 => 5/95 =1/19

1/20 = 0.05

So 1/19 will be a bit less than 0.05 , out of the given options only 0.48 is more than 0.05 , so I will go with C , 0.053

Abhishek

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Mon Oct 10, 2011 1:22 am

Abhishek009 wrote:
sanju09 wrote:What is the approximation of 0.05/ (1 - 0.05) to the nearest thousandth?
(A) -1.000
(B) 0.048
(C) 0.053
(D) 0.100
(E) 1.250

(1 - 0.05) = 0.95

Now we have 0.05/0.95 => 5/95 =1/19

1/20 = 0.05

So 1/19 will be a bit less than 0.05 , out of the given options only 0.48 is more than 0.05 , so I will go with C , 0.053

Sorry Abhishek009, but here your reasoning is a bit carelessly made. For two positive fractions of same numerator value, the fraction with less denominator value is greater than the other one. Right answer is [spoiler]C, a bit more than 0.05[/spoiler].

The mind is everything. What you think you become. -Lord Buddha

Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com

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Bek: Senior | Next Rank: 100 Posts; Posts: 68; Joined: Fri Dec 03, 2010 10:29 pmFollowed by: 1 member; Thanked: 5 times

by Bek » Tue Oct 11, 2011 2:21 pm

0.05/(1 - 0.05) = 0.05/(0.95)

since we know that 0.05/1 = 0.05

0.05/(0.95) > 0.05

the best answer is C) 0.053

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