M4maths Previous Puzzles

05 Mar 2015 Who speak only one language

In a colony 100 persons speak Hindi, 90 speak English, 80 speak Urdu, 40 speak Hindi and Urdu, 30 speak Urdu and English, 25 speak Hindi and English. If 10 person speak all the 3 language, than total person in the colony, who speak only one language

OPtion

1) 70
2) 75
3) 80
4) 85
5) 90
6) 95
7) 100
8) 105
9) 110
10)120

Solution

Hindi speaking person 100
Hindi and Urdu speaking person 40
Hindi and English speaking person 25
3 language speaking person 10
So only Hindi and Urdu speaking person = 40-10 = 30
Only Hindi and English speaking person = 25-10 = 15
so only Hindi speaking person = 100-30-15-10 = 45
Similarly
English speaking person = 90
English and Urdu speaking person = 30
English and Hindi speaking person = 25
so only English and Urdu speaking person = 30-10 = 20
Only English and Hindi speaking person = 25-10 = 15
So only English speaking person = 90-20-15-10 = 45
Similarly
Urdu speaking person = 80
Urdu and Hindi speaking person = 40
Urdu and English speaking person = 30
so only Urdu and Hindi person = 40-10 = 30
Only Urdu and English speaking person = 30-10 = 20
so only Urdu speaking person = 80-30-20-10 = 20

So one language speaking person = 45+45+20 = 110

Option 9)

Correct Option: 9 Best Solution (39)

Supriya Mondal   9 years AGO

Speak only hindi=100-(30+15+10)=45
Speak only english=90-(20+15+10)=45
Speak only urdu=80-(30+20+10)=20
So, total=45+45+20
=110
So, option 9)110 is the right answer

Like? Yes (6) | No (2)  

Yathiraj   9 years AGO

From the given data
H=100, E=90, U=80
H∩U=40, U∩E=30, H∩E=25 and H∩E∩U=10
Now,
Those who speak only Hindi & Urdu will be
(H∩U)' = H∩U - H∩E∩U => 40-10=30
similarly,
(U∩E)' = U∩E - H∩E∩U => 30-10=20
(H∩E)' = H∩E - H∩E∩U => 25-10=15
Only those who speak only Hindi, H' will be
H' = H - ((H∩U)' + (H∩E)' + H∩E∩U) = 100-(30+15+10) = 45
similarly,
E' = 90-(20+15+10) = 45
U' = 80-(30+20+10) = 20
Hence, total no. of people who speak only one language will be
H'+E'+U' = 45+45+20 = 110

Like? Yes (4) | No (2)  

Sanu Panji   9 years AGO

110

Like? Yes (1) | No   

RAKESH   9 years AGO

only one = (100+90+80) - 2*(40+30+25) + 3*10 = 110

Like? Yes (2) | No (1)  

arush gupta   9 years AGO

ans 110

Like? Yes (1) | No   

SANTOSH SAHOO   9 years AGO

only hindi=|h|-|h^e|-|h^u|+|h^e^u|
=100-25-40+10
=45
only english=|e|-|h^e|-|e^u|+|h^e^u|
=90-25-30+10
=45
only urdu=|u|-|u^e|-|h^u|+|h^e^u|
=80-30-40+10
=20
only one language=45+45+20=110

Like? Yes (1) | No   

sompon temtheerakij   9 years AGO

speak only Hindi = 100-(40-10)-(25-10)-10 = 45
speak only English = 90-(30-10)-(25-10)-10 = 45
speak only Urdu = 80-(40-10)-(30-10)-10 = 20
speak only one language = 45+45+20 = 110

Like? Yes (1) | No   

sravani   9 years AGO

n(H U E U u)=n(H)+n(E)+n(u)-n(H ^ E)-n(H ^ u)-n(E ^ u)+n(H^E^u)

Like? Yes (2) | No (1)  

aman   9 years AGO

H= Hindi
E=English
U=Urdu

a+d+e+f = 100, d+b+g+f = 90, e+f+g+c= 80,
e+f= 40, f+g= 30, d+f= 25, f=10
On solving f=10, d=15, g=20, e=30
a=45,b=45,c=20
a+b+c=110

Hindi and English = d+f
English and Urdu =f+g
Hindi and Urdu =e+f

All 3 subject =f
Only 1 subject = a+b+c

Like? Yes (1) | No   

Ankit   9 years AGO

Venn diagram

Like? Yes (1) | No   

Harish Reddy Namala   9 years AGO

H--> 45
E --> 45
u ---> 20
total --> 110

Like? Yes (1) | No (1)  

MD SOHAIL AKHTER   9 years AGO

from venn diagram,
person who speaks only eng= 45
person who speaks only hin= 45
person who speaks only urdu= 20
person who speaks only one language = 45+45+20

Like? Yes (1) | No (1)  

KALYAN KUMAR REDDY VALLURU   9 years AGO

45+45+20=110

Like? Yes (1) | No (1)  

J.DHANDAPANI   9 years AGO

USING VENN DIAGRAM-IT IS SO EASY

Like? Yes (1) | No (1)  

Dorababu M   9 years AGO

let
n(H)=100
n(E)=90
n(U)=80
n(H&U)=40
n(U&E)=30
n(H&E)=25
n(H&U&E)=10
Formula for finding no.of persons speak exactly one language is :
=n(H)+n(U)+n(E)-2n(H&E)-2n(H&U)-2n(U&E)+3n(H&E&U)
=100+80+90-50-80-60+30
=110
then 9 is correct option

Like? Yes (1) | No (1)  

CHAYAN KUMAR   9 years AGO

people speak only hindi = 100-25-40+10 = 45
people speak only english=90-25-30+10=45
people speak only urdu=80-40-30+10=20
so,total people who speak only one language=45+45+20=110
it is the required ans

Like? Yes (2) | No (2)  

Math Lovers   9 years AGO

Hindi speaking = H =100
English Speaking = E =90
Urdu Speaking = U = 80

Only Hindi speaking = H1 = ?
Only English Speaking = E1= ?
Only Urdu Speaking = U1 = ?

Hindi + English = E1H1 = 40
Urdu + English = U1E1 = 30
Hindu + Urdu = H1U1 = 25

Hindi + English + Urdu = H1E1U1 = 10

=> Only one language speaking people =
H1+E1+U1 = (H + E +U) - 2*(E1H1+U1E1+H1U1) +3*(HE1U1)
= (100+90+80) - 2*(40+30+25) + 3*(10) = 110

Like? Yes (1) | No (1)  

POOJA SINGH   9 years AGO

We can solve the given problem by using venn diagram.
Total person in a colony who speak only one language is 110.

Like? Yes (1) | No (1)  

sindhura   9 years AGO

To determine the No of persons in exactly one set : P(A) + P(B) + P(C) - 2P(AnB) - 2P(AnC) - 2P(BnC) + 3P(AnBnC) ,SO100+90+80-2*40-2*30-2*25+3*10=300-190=110

Like? Yes (1) | No (1)  

Dharmraj Sharma   9 years AGO

It can be solved using Vann diagram
only hind : 45
only english: 45
only urdu: 20
so total:110

Like? Yes (1) | No (1)  

aman aditya   9 years AGO

hindi speaking=100-(15+10+30)=45
english speaking=(90-(15+10+20)=45
urdu speaking=80-(20+30+10)=20
so
45+45+20=110

Like? Yes (1) | No (1)  

Preethi   9 years AGO

100-30-20-10+90-20-15-10+80-30-15-10
=110

Like? Yes (1) | No (1)  

aaditya raj   9 years AGO

solve bye ven diag

Like? Yes (1) | No (1)  

Saravanakumar   9 years AGO

(Hindi+English+urdu) Only = 45+45+20=110

Like? Yes (1) | No (1)  

mustain ahmed   9 years AGO

According to venn diagram total person in the colony who can speak only one language is 185-(25+30+20)=110...hence option-9 is correct.

Like? Yes (1) | No (1)  

krishna   9 years AGO

h=45
e=55
u=20
h+e=25
h+u=30
e+u=20
so only hindi 100-55=45
SO ONLY ENG 90-45=45
SO ONLY URDU 80-60=20
TOTAL =45+45+20=110 ANS

Like? Yes (1) | No (1)  

shareef   9 years AGO

45+20+45=110

Like? Yes (1) | No (1)  

SARAVANAN S K   9 years AGO

hindi=45 urudu=20 english=45

Like? Yes (1) | No (1)  

jalaj   9 years AGO

h=100
e=90
u=80
40=h+u
30=u+e
25=h+e
h+e+u=10
by solving through ven diagram we get 110 as and

Like? Yes (1) | No (1)  

Gobind Kumar   9 years AGO

onlyone language (English+hindi+urdu)= 110

Like? Yes (1) | No (1)  

Kaju Gupta   9 years AGO

E = 90-(25+30)+10 = 45
H = 100-(25+40)+10 = 45
U = 80-(40+30)+10 = 20
total = E+H+U = 110

option 9)

Like? Yes (1) | No (1)  

Shanmugapriya.G   9 years AGO

people reading only one newspaper = (100-55)+(90-45)+(80-60) = 110
use 3 circle model to solve it..

Like? Yes (1) | No (1)  

MRITUNJAY   9 years AGO

this is answer

Like? Yes (1) | No (1)  

jaganmohan rao .pola   9 years AGO

110

Like? Yes (1) | No (1)  

Udhaya kumar   9 years AGO

h=100 h+u=40
e=90 u+e=30
u=80 h+e=25
h+e+u=10
110 is the answer.

Like? Yes (1) | No (1)  

sivaramakrishna   9 years AGO

45+45+20=110

Like? Yes (1) | No (1)  

pratyusha yarra   9 years AGO

all languages 10 people,
english & urdu total 30, but 30-10 is 20 in common
hindi & english total 25, but 25-10 is 15 in common
hindi & urdu total 40, but 40-10 is 30 in common
now, hindi total 100, but 100-(10+15+30)=45 only
english total 90, but 90-(10+20+15)=45 only
urdu total 80, but 80-(10+20+30)=20
now no. of people who speaks only one language is 45+45+20=110

Like? Yes (1) | No (1)  

Meenakshi   9 years AGO

The number of persons speak only one language
=>H+E+U
=>45+45+20
=>110

Like? Yes (1) | No (1)  

sasikala   9 years AGO

hindi=100-40-25+10=45
english=90-25-30+10=45
urdu=80-40-30+10=20
total=45+45+20=110

Like? Yes (1) | No (1)