There are total 45 people. 21 speaks French and 17 speaks Spanish 9 do not speak any language. Which

M4maths Previous Puzzles

15 Mar 2019 Fraction

There are total 45 people. 21 speaks French and 17 speaks Spanish 9 do not speak any language. Which part of total people speaks both languages.

OPtion

1) 5/1
2) 4/1
3) 6/1
4) 3/1
5) 5/45
6) 4/45
7) 1/15
8) 2/15
9) 2/45
10) None of these

Solution

If x no of people speak both languages then

45 = 21 + 17 - x + 9
=> x=2
so part of total people speaks both languages = 2/45

Correct Option: 9 Best Solution (11)

Varun   5 years AGO

Let F be the number of people speaking French = 21
Let S be the number of people speaking Spanish
F U S + F ^n S= F + S
Solving,
F ^n S = 2
=》 2/45
= Option (9)

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sruthi pujari   5 years AGO

People who speak atleast 1 language = 45-9 = 36
People who speak both the languages = 36-(21+17) = 2
Part of total = 2/45
hence option >>9

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G.S.Kantharao   5 years AGO

n(F)=21,n(S)=17,n(FUS)=45-9=36
Number of people who speak both languages =38-36=2
Fraction =2/45
Right option is 9👈

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kavya mv   5 years AGO

n(U)=n(F)+n(S)-n(F intersection S)+n(F union S)'
so n(F intersection S)=n(U)-n(F)+n(S)+n(F union S)'
n(F intersection S)=45-(21+17+9)

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Lavanya G   5 years AGO

n(u)=45
n(f)=21
n(s)=17
9 people's do not speak any language so
n(u)=n(f)+n(s)-n(both)+n(fUs)'
45=21+17-n(both)+9
n(both)=2
hence 2/45

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SAYAN CHATTERJEE   5 years AGO

Total no of persons who know at least one language is 58-9= 36
So, who know both is (21+17-36)= 2.
So, probability is 2/45.
Option 9.

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RAMADURAI NATESAN   5 years AGO

Let the sets speaking French,spanish or no language be
F , S and N.As per given information,
F U S U N ( U meaning Union)=
F+S+N -FS -FN- SN+FSN=45.i.e.,
21+17+9 - FS = 45.(FN,SN and FSN being 0)
Hence, FS = 2

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k satish kumar   5 years AGO

out of 45 , 9 people will not speak any of the languages so 36 people will talk any of the languages
21+17=38
38-36= 2
so 2/45

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suryanarayana   5 years AGO

the persons who do not speak any language=45-9=36
speaks both languages=(21+17)-36=2
speaks both languages to total people=2/45

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sri arepalli   5 years AGO

45-9=36
but 21+17=38
so there are only 2 persons who can speak both the languages.
so the ans is 2/45,as she asked the part

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anusha   5 years AGO

total=45
french=21
spanish=17
do not=9
therfore (45-9)=36
(17+21)=38
38-36=2
therfore 2/45

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