Author 
Message 
TAGS:

Hide Tags

BSchool Forum Moderator
Joined: 12 Aug 2015
Posts: 2509
GRE 1: 323 Q169 V154

Of the students in Tanner’s class, 8 wore a hat to school, 15 students [#permalink]
Show Tags
13 Aug 2017, 08:53
1
This post received KUDOS
2
This post was BOOKMARKED
Question Stats:
58% (01:53) correct 42% (02:15) wrong based on 100 sessions
HideShow timer Statistics
Hey Guys Need help with one > Of the students in Tanner’s class, 8 wore a hat to school, 15 students wore gloves, and 10 wore scarves. None of the students wore a scarf without gloves. Four students wore a hat, gloves, and a scarf. Half of the students who wore a hat also wore gloves. How many students are in Tanner’s class? A)33 B)23 C)19 D)15 E) Cannot be determined. NOTE > This question is a part of KAPLAN and I just added the options to make it more GMATlike.
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Getting into HOLLYWOOD with an MBA The MOST AFFORDABLE MBA programs!STONECOLD's BRUTAL Mock Tests for GMATQuant(700+)Average GRE Scores At The Top Business Schools!





Director
Joined: 04 Dec 2015
Posts: 696
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)

Of the students in Tanner’s class, 8 wore a hat to school, 15 students [#permalink]
Show Tags
13 Aug 2017, 09:32
3
This post received KUDOS
stonecold wrote: Hey Guys Need help with one > Of the students in Tanner’s class, 8 wore a hat to school, 15 students wore gloves, and 10 wore scarves. None of the students wore a scarf without gloves. Four students wore a hat, gloves, and a scarf. Half of the students who wore a hat also wore gloves. How many students are in Tanner’s class? A)33 B)23 C)19 D)15 E) Cannot be determined. NOTE > This question is a part of KAPLAN and I just added the options to make it more GMATlike. Students who wore hat \(= 8\) Students who wore gloves \(= 15\) Students who wore scarves \(= 10\) All the students who wore scarves wore gloves. Students who wore both gloves and scarves \(= 10\) Half of the students who wore a hat also wore gloves. Students who wore a hat also wore gloves \(= 4\) Students wore a hat, gloves, and a scarf \(= 4\) Out of \(10\) Students who wore both gloves and scarves, \(4\) of them wore hat, gloves and scarves. Students who wore only gloves and scarves \(= 6\) Therefore; Students who wore only hat \(= 4\) Students who wore only gloves \(= 5\) Students who wore hat, gloves and scarves \(= 4\) Students who wore only gloves and scarves \(= 6\) Total number of students \(= 4 + 5 + 4+6 = 19\) Answer (C)...Hope its clear now. _________________ Please Press "+1 Kudos" to appreciate.



Manager
Joined: 20 Jun 2013
Posts: 60
Location: India
Concentration: Economics, Finance
GPA: 3.5
WE: Information Technology (Other)

Re: Of the students in Tanner’s class, 8 wore a hat to school, 15 students [#permalink]
Show Tags
13 Aug 2017, 09:45
2
This post received KUDOS
TOTAL = A + B + C  ( SUM OF 2  GROUP OVERLAPS ) + ( ALL 3 ) + NEITHER... WHEN U FILL ALL THESE QUANTITIES.. I SUPPOSE U DO NOT HAVE A CLEAR PICTURE OF WHAT IS REMAINING TO BE FILLED.. HENCE IMO E CAN NOT BE DETERMINED...
pardon me for the all caps.. and yes if this post helped you even an iota, kindly give kudos i require them to reach the next level... stuck without kudos at the silver level... pls pls pls kudos... beg u all



Manager
Joined: 20 Jun 2013
Posts: 60
Location: India
Concentration: Economics, Finance
GPA: 3.5
WE: Information Technology (Other)

Re: Of the students in Tanner’s class, 8 wore a hat to school, 15 students [#permalink]
Show Tags
13 Aug 2017, 09:48
1
This post received KUDOS
thanks sashiim20 for your post on enligtening me on this questions...kudos given



Director
Joined: 28 Mar 2017
Posts: 974

Re: Of the students in Tanner’s class, 8 wore a hat to school, 15 students [#permalink]
Show Tags
13 Aug 2017, 09:55
2
This post received KUDOS
sashiim20 wrote: Students who wore hat \(= 8\) Students who wore gloves \(= 15\) Students who wore scarves \(= 10\) All the students who wore scarves wore gloves. Students who wore both gloves and scarves \(= 10\) Half of the students who wore a hat also wore gloves. Students who wore a hat also wore gloves \(= 4\) Students wore a hat, gloves, and a scarf \(= 4\) Out of \(10\) Students who wore both gloves and scarves, \(4\) of them wore hat, gloves and scarves. Students who wore only gloves and scarves \(= 6\) Therefore; Students who wore only hat = 4Students who wore only gloves \(= 5\) Students who wore hat, gloves and scarves \(= 4\) Students who wore only gloves and scarves \(= 6\) Total number of students \(= 4 + 5 + 4+6 = 19\) Answer (C)...Hope its clear now. _________________ Please Press "+1 Kudos" to appreciate. Hello bro, I have a doubt your reasoning .... look at the highlighted part. Students who wear hat as per the ques = 8 ( this includes people with only Hat, hat and scarf, hat and glove and hat scarf glove) 4 wear hats + glove+ scarf. that leaves us with 4 people with hat ( this includes people with only Hat, hat and scarf, hat and glove). However, its given half of the people who wore hat also wore gloves. Thus 2 should wear Hat + Gloves and only 2 should remain with ONLY hat. Although I shouldn't assume anything in GMAT, I can assume given the ques that hat and scarf =0 > Though I wouldn't assume that in exam. I don't think this is a very GMAT like question.
_________________
Kudos if my post helps!
Helpful links: 1. Useful Formulae, Concepts and TricksQuant 2. eGMAT's ALL SC Compilation 3. LSAT RC compilation 4. Actual LSAT CR collection by Broal 5. QOTD RC (Carcass) 6. Challange OG RC GMAT Prep Challenge RC



Director
Joined: 04 Dec 2015
Posts: 696
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)

Re: Of the students in Tanner’s class, 8 wore a hat to school, 15 students [#permalink]
Show Tags
13 Aug 2017, 10:03
2
This post received KUDOS
gmatexam439 wrote: sashiim20 wrote: Students who wore hat \(= 8\) Students who wore gloves \(= 15\) Students who wore scarves \(= 10\) All the students who wore scarves wore gloves. Students who wore both gloves and scarves \(= 10\) Half of the students who wore a hat also wore gloves. Students who wore a hat also wore gloves \(= 4\) Students wore a hat, gloves, and a scarf \(= 4\) Out of \(10\) Students who wore both gloves and scarves, \(4\) of them wore hat, gloves and scarves. Students who wore only gloves and scarves \(= 6\) Therefore; Students who wore only hat = 4Students who wore only gloves \(= 5\) Students who wore hat, gloves and scarves \(= 4\) Students who wore only gloves and scarves \(= 6\) Total number of students \(= 4 + 5 + 4+6 = 19\) Answer (C)...Hope its clear now. _________________ Please Press "+1 Kudos" to appreciate. Hello bro, I have a doubt your reasoning .... look at the highlighted part. Students who wear hat as per the ques = 8 ( this includes people with only Hat, hat and scarf, hat and glove and hat scarf glove) 4 wear hats + glove+ scarf. that leaves us with 4 people with hat ( this includes people with only Hat, hat and scarf, hat and glove). However, its given half of the people who wore hat also wore gloves. Thus 2 should wear Hat + Gloves and only 2 should remain with ONLY hat. Although I shouldn't assume anything in GMAT, I can assume given the ques that hat and scarf =0 > Though I wouldn't assume that in exam. I don't think this is a very GMAT like question. Hi gmatexam439, Its not mentioned ONLY 4 students wear hats, gloves and scarves. Given, 4 students wear hats, gloves and scarves. And half of students who wore hat also wore gloves (Which is = 4). So 4 students who wear hats, gloves and scarves, also is included as students who wore hat and gloves. Hence Students who wore only hat would be = 4. Hope its clear now.



Director
Joined: 28 Mar 2017
Posts: 974

Re: Of the students in Tanner’s class, 8 wore a hat to school, 15 students [#permalink]
Show Tags
13 Aug 2017, 10:43
sashiim20 wrote: Hi gmatexam439,
Its not mentioned ONLY 4 students wear hats, gloves and scarves.
Given, 4 students wear hats, gloves and scarves. And half of students who wore hat also wore gloves (Which is = 4).
So 4 students who wear hats, gloves and scarves, also is included as students who wore hat and gloves.
Hence Students who wore only hat would be = 4.
Hope its clear now. Yup that makes sense. I thought this scenario as a second possibility; but since the ques says half of people who wear hat wear glove, its very ambiguous to divide 8 by 2 and say 4 wear only hat. Also, no info is given for hat + scarf. I don't think such half baked ques will appear on gmat. Thanks again for clearing my above doubt bro. Regards
_________________
Kudos if my post helps!
Helpful links: 1. Useful Formulae, Concepts and TricksQuant 2. eGMAT's ALL SC Compilation 3. LSAT RC compilation 4. Actual LSAT CR collection by Broal 5. QOTD RC (Carcass) 6. Challange OG RC GMAT Prep Challenge RC



VP
Joined: 22 May 2016
Posts: 1442

Of the students in Tanner’s class, 8 wore a hat to school, 15 students [#permalink]
Show Tags
13 Aug 2017, 11:02
1
This post received KUDOS
stonecold wrote: Hey Guys Need help with one > Of the students in Tanner’s class, 8 wore a hat to school, 15 students wore gloves, and 10 wore scarves. None of the students wore a scarf without gloves. Four students wore a hat, gloves, and a scarf. Half of the students who wore a hat also wore gloves. How many students are in Tanner’s class?
A)33 B)23 C)19 D)15 E) Cannot be determined.
Attachment:
HGSVenn.jpg [ 53.78 KiB  Viewed 1249 times ]
I had to use this Venn diagram. Maybe it will help, because this problem is sneaky. Hats = 8 Gloves = 15 Scarves = 10 H + G + S = 4 None of the students wore a scarf without gloves Half of the students who wore a hat also wore gloves = 4 1. Start with most restrictive information, H + G + S = 4. Put 4 in the triple overlap (blue). Next two most restrictive conditions, one at a time. 2. None of the students wore a scarf without gloves. If they had scarves on, they had gloves on, too. So: ZERO students will wear scarves only. Put 0 in the yellow part. ZERO of the students will wear scarves and hats only. Put 0 in H + S (purple) And: if S, then G at least means S + G = 10. However, blue affects everything else. Blue is H + G + S. S + G (green) looks very tempting in which to put S + G = 10  but the blue segment already has 4 of the 10 students who wore S and G. 10  4 = 6. Put 6 in S + G (green). 3. Half of the students who wore a hat also wore gloves, half = 4 Now G + H looks tempting. Check blue first. There are 4 students with H + G + S. This condition is covered. Put 0 in G + H. 4. Final calculations: H only and G only H only  every intersection around H only is filled with a number (white, blue, purple). Add them up. 0 + 0 + 4 = 4. Total H = 8. 8  4(in blue) = 4. Put 4 in H only. G only  every intersection around G only is filled. Add the intersecting parts' (white, blue, green) numbers up: 0 + 4 + 6 = 10 Total G = 15. (15  10) = 5 in G only. Now add every value (when you've diagrammed, it's different from the formula, because the diagram accounts for all the things you would have to add or subtract twice or whatever). Leaving out zeros: 5 + 6 + 4 + 4 = 19 Answer C
_________________
At the still point, there the dance is.  T.S. Eliot Formerly genxer123



BSchool Forum Moderator
Joined: 26 Feb 2016
Posts: 2305
Location: India
GPA: 3.12

Re: Of the students in Tanner’s class, 8 wore a hat to school, 15 students [#permalink]
Show Tags
13 Aug 2017, 21:32
1
This post was BOOKMARKED
Let students who wore hats be denoted by P(H) Let students who wore gloves be denoted by P(G) Let students who wore scarves be denoted by P(S) P(Total) = P(H) + P(G) + P(S)  P(Only 2)  2*P(All 3) Given data: P(H) = 8 P(G) = 15 P(S) = 10 P(All 3) = 4 We can get the following information from the question stem None of the students wore a scarf without glovesP(S & G) = 10  4(who have all 3) = 6 Half of the students who wore a hat also wore glovesP(H & G) = \(\frac{P(H)}{2}\)  4(who have all 3) = \(\frac{8}{2}  4 = 0\) Similarly P(S & H) = 0 P(Only 2) = P(S & G) + P(H & G) + P(S & H) = 6+0+0 = 6 Therefore, the number of students in Tanner's class : P(Total) = 8 + 15 + 10  6  2*(4) = 33  14 = 19(Option C)
_________________
Stay hungry, Stay foolish
20172018 MBA Deadlines
Class of 2020: Rotman Thread  Schulich Thread Class of 2019: Sauder Thread



Intern
Joined: 17 Jan 2014
Posts: 10

Re: Of the students in Tanner’s class, 8 wore a hat to school, 15 students [#permalink]
Show Tags
15 Aug 2017, 06:44
genxer123 wrote: stonecold wrote: Hey Guys Need help with one > Of the students in Tanner’s class, 8 wore a hat to school, 15 students wore gloves, and 10 wore scarves. None of the students wore a scarf without gloves. Four students wore a hat, gloves, and a scarf. Half of the students who wore a hat also wore gloves. How many students are in Tanner’s class?
A)33 B)23 C)19 D)15 E) Cannot be determined.
Attachment: HGSVenn.jpg I had to use this Venn diagram. Maybe it will help, because this problem is sneaky. Hats = 8 Gloves = 15 Scarves = 10 H + G + S = 4 None of the students wore a scarf without gloves Half of the students who wore a hat also wore gloves = 4 1. Start with most restrictive information, H + G + S = 4. Put 4 in the triple overlap (blue). Next two most restrictive conditions, one at a time. 2. None of the students wore a scarf without gloves. If they had scarves on, they had gloves on, too. So: ZERO students will wear scarves only. Put 0 in the yellow part. ZERO of the students will wear scarves and hats only. Put 0 in H + S (purple) And: if S, then G at least means S + G = 10. However, blue affects everything else. Blue is H + G + S. S + G (green) looks very tempting in which to put S + G = 10  but the blue segment already has 4 of the 10 students who wore S and G. 10  4 = 6. Put 6 in S + G (green). 3. Half of the students who wore a hat also wore gloves, half = 4 Now G + H looks tempting. Check blue first. There are 4 students with H + G + S. This condition is covered. Put 0 in G + H. 4. Final calculations: H only and G only H only  every intersection around H only is filled with a number (white, blue, purple). Add them up. 0 + 0 + 4 = 4. Total H = 8. 8  4(in blue) = 4. Put 4 in H only. G only  every intersection around G only is filled. Add the intersecting parts' (white, blue, green) numbers up: 0 + 4 + 6 = 10 Total G = 15. (15  10) = 5 in G only. Now add every value (when you've diagrammed, it's different from the formula, because the diagram accounts for all the things you would have to add or subtract twice or whatever). Leaving out zeros: 5 + 6 + 4 + 4 = 19 Answer C This is the most clear explanation. Thanks for sharing.



VP
Joined: 22 May 2016
Posts: 1442

Of the students in Tanner’s class, 8 wore a hat to school, 15 students [#permalink]
Show Tags
15 Aug 2017, 20:29
Drealnapster wrote: This is the most clear explanation. Thanks for sharing.
It's nice to get feedback. You're very welcome.
_________________
At the still point, there the dance is.  T.S. Eliot Formerly genxer123




Of the students in Tanner’s class, 8 wore a hat to school, 15 students
[#permalink]
15 Aug 2017, 20:29






