\(\dfrac{3.003}{2.002} =\)

This topic has expert replies
Legendary Member
Posts: 2276
Joined: Sat Oct 14, 2017 6:10 am
Followed by:3 members

\(\dfrac{3.003}{2.002} =\)

by VJesus12 » Tue Sep 15, 2020 5:22 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

\(\dfrac{3.003}{2.002} =\)

A. \(1.05\)
B. \(1.50015\)
C. \(1.501\)
D. \(1.5015\)
E. \(1.5\)

Answer: E

Source: Official Guide

GMAT/MBA Expert

User avatar
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

Re: \(\dfrac{3.003}{2.002} =\)

by Brent@GMATPrepNow » Tue Sep 15, 2020 5:54 am
VJesus12 wrote:
Tue Sep 15, 2020 5:22 am
\(\dfrac{3.003}{2.002} =\)

A. \(1.05\)
B. \(1.50015\)
C. \(1.501\)
D. \(1.5015\)
E. \(1.5\)

Answer: E

Source: Official Guide
There's a nice property of fractions that says: AB/CD = (A/C)(B/D)

Now notice that 3.003 = (3)(1.001)
And 2.002 = (2)(1.001)

So......3.003/2.002 = (3)(1.001)/(2)(1.001)
= (3/2)(1.001/1.001) [applying the above rule]
= (3/2)(1)
= 3/2
Answer: E
Brent Hanneson - Creator of GMATPrepNow.com
Image

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 7222
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members

Re: \(\dfrac{3.003}{2.002} =\)

by Scott@TargetTestPrep » Thu Sep 24, 2020 7:10 am
VJesus12 wrote:
Tue Sep 15, 2020 5:22 am
\(\dfrac{3.003}{2.002} =\)

A. \(1.05\)
B. \(1.50015\)
C. \(1.501\)
D. \(1.5015\)
E. \(1.5\)

Answer: E

Source: Official Guide
Solution:

Approximating, we have:

3/2 = 1.5

Note that the quotient of 3.003/2.002 is exactly 1.5. Since half of 2.002 is exactly 1.001, when me multiply 2.002 by 1.5, we obtain:

2.002 x 1.5 = 2.002 + 1.001 = 3.003

Answer: E

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage