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.
Apr 2601:30 AM EDT
-02:30 AM EDT
Learn how Keshav, a Chartered Accountant, scored an impressive 705 on GMAT in just 30 days with GMATWhiz's expert guidance. In this video, he shares preparation tips and strategies that worked for him, including the mock, time management, and more.
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2512:30 AM EDT
-01:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
Apr 2711:00 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
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
May 0111:00 AM PDT
-12:00 PM PDT
Free- full-length test + 15 concept videos + 150+ short videos + study plan!
solitaryreaper
Joined: 23 Sep 2013
Last visit: 21 Feb 2023
Posts: 119
Given Kudos: 95
Concentration: Strategy, Marketing
Schools: Boston U '20 (WL)
WE:Engineering (Computer Software)
Products:
07 Jan 2015, 05:54
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
54% (02:09) correct
46%
(02:25)
wrong
based on 660
sessions
History
Date
Time
Result
Not Attempted Yet
For a positive number x, {x} is the fractional part of x. {x} = x-[x] , where [x] is the greatest integer less than or equal to x. The fractional part of 12.8, for example is 0.8. What is the value of {z}, if z is positive and has exactly 4 digits after the decimal?
(1) {z/3} = 0.4175
(2) {3z} = 0.7575
(1) {z/3} = 0.4175
(2) {3z} = 0.7575
07 Jan 2015, 06:48
Kudos
Bookmarks
For a positive number x, {x} is the fractional part of x. {x} = x-[x] , where [x] is the greatest integer less than or equal to x. The fractional part of 12.8, for example is 0.8. What is the value of {z}, if z is positive and has exactly 4 digits after the decimal?
(1) {z/3} = 0.4175. This implies that the fractional part of z/3 is 0.4175, thus:
\(\frac{z}{3} = integer + 0.4175\);
\(z= 3*integer + 3*0.4175\);
\(z= 3*integer + 1.2525\);
\(z=(3*integer+1)+0.2525\);
\(z=integer+0.2525\).
Therefore, {z}, the fractional part of z is 0.2525. Sufficient.
(2) {3z} = 0.7575. This implies that the fractional part of 3z is 0.7575, thus:
\(3z = integer + 0.7575\);
\(z = \frac{integer}{3} + 0.2525\);
Here comes in play the part of the stem which says that z is positive and has exactly 4 digits after the decimal. If integer above is NOT a multiple of 3, then integer/3 would be a recurring decimal (non-terminating), and z itself would also be a recurring decimal, which would contradict the fact that it should have exactly 4 digits after the decimal. Therefore z must be a multiple of 3.
\(z =\frac{(multiple \ of \ 3)}{3} + 0.2525\);
\(z = integer + 0.2525\).
Therefore, {z}, the fractional part of z is 0.2525. Sufficient.
Answer: D.
Hope it's clear.
(1) {z/3} = 0.4175. This implies that the fractional part of z/3 is 0.4175, thus:
\(\frac{z}{3} = integer + 0.4175\);
\(z= 3*integer + 3*0.4175\);
\(z= 3*integer + 1.2525\);
\(z=(3*integer+1)+0.2525\);
\(z=integer+0.2525\).
Therefore, {z}, the fractional part of z is 0.2525. Sufficient.
(2) {3z} = 0.7575. This implies that the fractional part of 3z is 0.7575, thus:
\(3z = integer + 0.7575\);
\(z = \frac{integer}{3} + 0.2525\);
Here comes in play the part of the stem which says that z is positive and has exactly 4 digits after the decimal. If integer above is NOT a multiple of 3, then integer/3 would be a recurring decimal (non-terminating), and z itself would also be a recurring decimal, which would contradict the fact that it should have exactly 4 digits after the decimal. Therefore z must be a multiple of 3.
\(z =\frac{(multiple \ of \ 3)}{3} + 0.2525\);
\(z = integer + 0.2525\).
Therefore, {z}, the fractional part of z is 0.2525. Sufficient.
Answer: D.
Hope it's clear.
General Discussion
07 Jan 2015, 06:51
Kudos
Bookmarks
solitaryreaper
Check other function questions in our Special Questions Directory:
Operations/functions defining algebraic/arithmetic expressions
Symbols Representing Arithmetic Operation
Rounding Functions
Various Functions
Also check Terminating and Recurring Decimals questions there.
Hope it helps.
