((0.9996/0.98) - 1) =
(A) 1/50
(B) 1/98
(C) 2/49
(D) 3/49
(E) 3/196
For the answer and elegant no-calculator solution to this problem, as well as nine other problems with fractions & decimals, see:
https://magoosh.com/gmat/2014/gmat-pract ... -decimals/
Mike
((0.9996/0.98) - 1) =
This topic has expert replies
GMAT/MBA Expert
- Mike@Magoosh
- GMAT Instructor
- Posts: 768
- Joined: Wed Dec 28, 2011 4:18 pm
- Location: Berkeley, CA
- Thanked: 387 times
- Followed by:140 members
-
- Master | Next Rank: 500 Posts
- Posts: 447
- Joined: Fri Nov 08, 2013 7:25 am
- Thanked: 25 times
- Followed by:1 members
- GMATinsight
- Legendary Member
- Posts: 1100
- Joined: Sat May 10, 2014 11:34 pm
- Location: New Delhi, India
- Thanked: 205 times
- Followed by:24 members
((0.9996/0.98) - 1) = [(1-0.0004)/0.98]-1 = [(1^2-0.02^2)/0.98]-1
= [(1+0.02)*(1-0.02)/(1-0.02)]-1
= (1+0.02)-1 = 0.02 = 2/100 = 1/50 Answer
= [(1+0.02)*(1-0.02)/(1-0.02)]-1
= (1+0.02)-1 = 0.02 = 2/100 = 1/50 Answer
"GMATinsight"Bhoopendra Singh & Sushma Jha
Most Comprehensive and Affordable Video Course 2000+ CONCEPT Videos and Video Solutions
Whatsapp/Mobile: +91-9999687183 l [email protected]
Contact for One-on-One FREE ONLINE DEMO Class Call/e-mail
Most Efficient and affordable One-On-One Private tutoring fee - US$40-50 per hour
Most Comprehensive and Affordable Video Course 2000+ CONCEPT Videos and Video Solutions
Whatsapp/Mobile: +91-9999687183 l [email protected]
Contact for One-on-One FREE ONLINE DEMO Class Call/e-mail
Most Efficient and affordable One-On-One Private tutoring fee - US$40-50 per hour
- GMATGuruNY
- 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
Alternate approach:Mike@Magoosh wrote:((0.9996/0.98) - 1) =
(A) 1/50
(B) 1/98
(C) 2/49
(D) 3/49
(E) 3/196
For the answer and elegant no-calculator solution to this problem, as well as nine other problems with fractions & decimals, see:
https://magoosh.com/gmat/2014/gmat-pract ... -decimals/
Mike
(0.9996/0.98) - 1
= 9996/9800 - 9800/9800
= 196/9800
= (98*2)/(98*100)
= 2/100
= 1/50.
The correct answer is A.
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
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
GMAT/MBA Expert
- Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
This approach is similar to Mitch's with an ESTIMATION twist at the end:Mike@Magoosh wrote:((0.9996/0.98) - 1) =
(A) 1/50
(B) 1/98
(C) 2/49
(D) 3/49
(E) 3/196
0.9996/0.98 - 1 = 0.9996/0.98 - 0.98/0.98 [rewrote with common denominator of 0.98]
= 9996/9800 - 9800/9800 [multiplied top and bottom of each fraction by 10,000 to make easier to work with]
= (9996 - 9800)/9800
= 196/9800
IMPORTANT: Upon checking the answer choices, we can see that the answer choices are well spread apart. So...
196/9800 ≈ 200/10,000
= [spoiler]1/50 = A[/spoiler]
Cheers,
Brent