GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 23 Apr 2019, 17:10

Close

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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Two assembly line inspectors, Lauren and Steven, inspect widgets as

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 54493
Two assembly line inspectors, Lauren and Steven, inspect widgets as  [#permalink]

Show Tags

New post 29 Dec 2016, 12:15
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

62% (02:19) correct 38% (02:04) wrong based on 120 sessions

HideShow timer Statistics

Two assembly line inspectors, Lauren and Steven, inspect widgets as they come off the assembly line. If Lauren inspects every fifth widget, starting with the fifth, and Steven inspects every third, starting with the third, how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector?

A. 91
B. 59
C. 53
D. 47
E. 45

_________________
Senior Manager
Senior Manager
avatar
B
Joined: 13 Oct 2016
Posts: 367
GPA: 3.98
Re: Two assembly line inspectors, Lauren and Steven, inspect widgets as  [#permalink]

Show Tags

New post 29 Dec 2016, 12:44
2
multiples of 5 - 19

multiples of 3 - 32

multiples of 15 - 6

98 - 19 - 32 + 6 = 53

Answer C
Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4426
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User CAT Tests
Re: Two assembly line inspectors, Lauren and Steven, inspect widgets as  [#permalink]

Show Tags

New post 30 Dec 2016, 11:21
1
Bunuel wrote:
Two assembly line inspectors, Lauren and Steven, inspect widgets as they come off the assembly line. If Lauren inspects every fifth widget, starting with the fifth, and Steven inspects every third, starting with the third, how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector?

A. 91
B. 59
C. 53
D. 47
E. 45


No of widgets inspected by Lauren is \(\frac{98}{5} = 19\)

No of widgets inspected by Steven is \(\frac{98}{3} = 32\)

No of widgets inspected by Steven & Lauren is \(\frac{98}{15} = 6\)

So, Total No of widgets inspected by Steven & Lauren is 19 + 32 - 6 = 45

So, Total No of widgets not inspected by Steven & Lauren is 98 - 45 = 53

Hence, correct answer will bw (C) 53

_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Intern
Intern
avatar
B
Joined: 01 Aug 2016
Posts: 27
Schools: ISB '18
Re: Two assembly line inspectors, Lauren and Steven, inspect widgets as  [#permalink]

Show Tags

New post 31 Dec 2016, 03:49
Multiples of 3 till 98 are 32

Multiples of 5 till 98 are 19

Multiples of 15 till 98 are 6

So 32+19-6 = 45

Tota= 98 - 45 = 53 is the answer
Manager
Manager
avatar
S
Joined: 13 Mar 2013
Posts: 162
Location: United States
Concentration: Leadership, Technology
GPA: 3.5
WE: Engineering (Telecommunications)
Re: Two assembly line inspectors, Lauren and Steven, inspect widgets as  [#permalink]

Show Tags

New post 07 Aug 2017, 08:43
This question can be views at multiple set question .
_________________
Regards ,
Manager
Manager
avatar
B
Joined: 24 Jun 2017
Posts: 122
Re: Two assembly line inspectors, Lauren and Steven, inspect widgets as  [#permalink]

Show Tags

New post 07 Aug 2017, 12:38
I am always curious how this difficulty level is being defined, this was an easy one

total
number of multiplies of 15 - 6 (as every 15 will be checked by both inspectors, 15 has prime factors 3 and 5)
number of multiplies of 3 - 32
number of multiplies of 5 - 19

Then 32 + 19 - 6 = 45
98 - 45 = 53
Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 5810
Location: United States (CA)
Re: Two assembly line inspectors, Lauren and Steven, inspect widgets as  [#permalink]

Show Tags

New post 10 Aug 2017, 10:30
1
Bunuel wrote:
Two assembly line inspectors, Lauren and Steven, inspect widgets as they come off the assembly line. If Lauren inspects every fifth widget, starting with the fifth, and Steven inspects every third, starting with the third, how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector?

A. 91
B. 59
C. 53
D. 47
E. 45


We need to determine how many multiples of 5, 3, and 15 there are from 1 to 98 inclusive.

Number of multiples of 5:

(95 - 5)/5 + 1 = 19

Number of multiples of 3:

(96 - 3)/3 + 1 = 32

Number of multiples of 15:

(90 - 15)/15 + 1 = 6

We add the number of multiples of 5 and of 3 to get 19 + 32 = 51, but we must subtract the number of multiples of 15 from this total because those 6 numbers represent the double-counted multiples of 3 and 5. Thus, there are 19 + 32 - 6 = 45 multiples of 3 and/or 5 from 1 to 98, which is also the number of widgets inspected.

So, 98 - 45 = 53 widgets were not inspected.

Answer: C
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

GMAT Club Bot
Re: Two assembly line inspectors, Lauren and Steven, inspect widgets as   [#permalink] 10 Aug 2017, 10:30
Display posts from previous: Sort by

Two assembly line inspectors, Lauren and Steven, inspect widgets as

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.