# There are 45 members in a group. 9 members have shoes but no hats. 18 members have shoes. How many members are there who have only hats? a)12 b) 19 c) 27 d) 18

D)18.

no. of members who have both hats and shoes=
18 - 9 = 9

no. of members who have hats = 45 - 18 = 27

no. of members who have hats only hats = 27 - 9 = 18.

• Feb 21st, 2007

no of students have both shoes and hats is: 9 since 18 have shoe not mention about hat so (18-9)
no of students have shoe alone is:9
from the total students 45, 45-(9+9)=27

#### Neelam RAwat

• Dec 1st, 2006

18 member have shoes(no mention of hats)

9 member have shoes but not hat

i.e    the member who are havin only hats are 45-18=27

#### snehal

• Dec 1st, 2006

d) 18

#### chandrakanth

• Dec 17th, 2006

no. of members who have both hats and shoes=
18 - 9 = 9

no. of members who have hats = 45 - 18 = 27

no. of members who have hats only hats = 27 - 9 = 18.

#### dear.chandru12

• Feb 20th, 2007

no of students have both shoes and hats is: 9 since 18 have shoe not mention about hat so (18-9)
no of students have shoe alone is:9
from the total students 45, 45-(9+9)=27

#### varun sabharwal

• Mar 3rd, 2007

since their are 9 members with shoes only and 9 others with hats and shoes so if we have to select one of the options we have to go with 27

#### Sandipan Dey

• Mar 21st, 2007

As the question says find those who have only hats the answer is 27....
total students with shoes=18(among these 9 dont have hats)
so no. of students with only hats=45-18=27

#### Eric9

• Oct 26th, 2007

27

B-cause.

There is three groups.

1. Shoes and NO Hat

2. Shoes and Hat

3. No Shoes and Hat

<<If there is some members who doesn't hav anything,

the question hav to mention about that. BUT! There is no mention about that.

so, I can suppose that there is no member who doesn't hav anything. >>

group 1 = 9

group 2 = 18 - 9 = 9

SO, Group 3 = 45 -9 -9 = 27

there is the 27 members who doesn't hav shoes .

• Jun 29th, 2008

use the venn diagrams formulae : A union B = A + B - A intersection B
where AUB=45 (total)
no.of people who've shoes A=18
no.of people who've hats B=?
no.of people who've only shoes but not hats A-B = 9
no.of people who've shoes and hats A n B = 9
no.of people who've only hats but not shoes B-A = ?
apply formula
45=18+B-9
=> B=36
=> B-A= 36-9
=27
Ans:c

#### pravesh28 Profile Answers by pravesh28 Questions by pravesh28

• Apr 9th, 2010

Let n(A-B) eqaqls 9 {shoes but not hat}
n(A) eqals 18 {shoes}
then we have find n(b-a)?
given n(AorB) eqals 45
clearly member have both shes and hat eqals 9
using venn diagram
45 eqals 9+9+n(B)

#### Hari Kishore

• Feb 12th, 2016

Cannot say, the rest may not be wearing any, neither shoes nor hats.