Events & Promotions
|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Jul 0901:00 PM EDT
-02:00 PM EDT
More Target Test Prep students are earning 100th percentile GMAT scores. Don’t settle for less when the Target Test Prep course gives you everything you need to score high on the GMAT. Start your 5-day free trial today.
Jul 1311:00 AM EDT
-12:30 PM EDT
Looking for your GMAT motivation to break through the score plateau? Pragati improved her score by massive 160 points with strategic guidance and hard-work! Find out how personalized mentorship and a strong mindset can turn GMAT struggles into success.
Jul 1508:00 PM PDT
-09:00 PM PDT
Full-length FE mock with insightful analytics, weakness diagnosis, and video explanations!
Jul 1609:30 AM EDT
-11:30 AM EDT
Is INSEAD your dream b-school and you're looking for solid prep and application strategies to get there? Check out Barkavi’s end-to-end journey to know how she did! Get insights into the INSEAD admissions process, know what Adcoms look at, and more!
Jul 1611:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors.
Jul 1911:00 AM IST
-01:00 PM IST
Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment
28 Sep 2021, 02:00
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
59% (01:58) correct
41%
(02:10)
wrong
based on 270
sessions
History
Date
Time
Result
Not Attempted Yet
If a and b are both positive integers \(\frac{a}{b}=34.06\), what is the probability that the remainder of \(\frac{a}{b}\) is a multiple of 6?
A. 1/3
B. 9/20
C. 1/2
D. 2/3
E. 3/4
A. 1/3
B. 9/20
C. 1/2
D. 2/3
E. 3/4
27 Jan 2022, 01:02
Kudos
Bookmarks
a/b = 34.06 = 3406/100 = 1703/50
Thus, there are only two possible values of a/b i.e a/b could either be 3406/100 or 1703/50
When a/b = 3406/100, remainder is 6 (A multiple of 6)
When a/b = 1703/50, remainder is 3 (Not a multiple of 6)
P(Remainder to be a multiple of 6) = Favorable options/Total options = 1/2 (C)
Thus, there are only two possible values of a/b i.e a/b could either be 3406/100 or 1703/50
When a/b = 3406/100, remainder is 6 (A multiple of 6)
When a/b = 1703/50, remainder is 3 (Not a multiple of 6)
P(Remainder to be a multiple of 6) = Favorable options/Total options = 1/2 (C)
General Discussion
28 Sep 2021, 20:56
Kudos
Bookmarks
Bunuel
If a and b are both positive integers \(\frac{a}{b}=34.06\), what is the probability that the remainder of \(\frac{a}{b}\) is a multiple of 6?
A. 1/3
B. 9/20
C. 1/2
D. 2/3
E. 3/4
A. 1/3
B. 9/20
C. 1/2
D. 2/3
E. 3/4
\(a=34b+0.06b\)
So, the remainder is 0.06b. This means 0.06b is also an integer.
\(0.06b=\frac{6b}{100}=\frac{3b}{50}\)
Thus b is a multiple of 50. => b=50x
If x is odd, the remainder = \(\frac{3b}{50}=\frac{3*50x}{50}=3x=3*odd=odd\)
If x is even, the remainder = \(\frac{3b}{50}=\frac{3*50x}{50}=3x=3*even=even\)
As the probability of x to be odd and to be even is same. So the probability of remainder to be even or odd is the same.
P= \(\frac{1}{2}\)
C
