Latest accenture Aptitude Question SOLUTION: Q. In a group of 400 readers who read science fiction or literacy works or both, 250 read science fiction and 230 read literacy works. How many read both science fiction and litera

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Q. In a group of 400 readers who read science fiction or literacy works or both, 250 read science fiction and 230 read literacy works. How many read both science fiction and literacy works?

Asked In accenture RagunathKC (11 years ago)

Solved Akanksha Mishra Read Solution (14)

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Read Solution (14) :

Akanksha Mishra  (11 years ago)

Consider total number of reader n(S U L) = 400
People who read science fiction n(S) = 250
People who read literacy works n(L) = 230
both science fiction and literacy n(S ∩ L) = ?

n(S U L) = n(S)+ n(L) - n(S ∩ L)
400 = 250 + 230 - n(S ∩ L)
n(S ∩ L) = 480 - 400
n(S ∩ L) = 80

SO People read both science fiction and literacy works are 80

Is this solution Helpfull? Yes (29) | No (2)  

RAKESH  (11 years ago)

n(S U L)=400,n(S)=250,n(L)=230
n(S U L) = n(S)+n(L)-n(S ∩ L)
both science fiction and literacy=n(S ∩ L)
n(S U L) =n(S)+n(L)-n(S ∩ L)
400=250+230-n(S ∩ L)
OR 400=480-n(S ∩ L)
OR n(S ∩ L)=80

Is this solution Helpfull? Yes (12) | No (5)  

v j chaudhary  (10 years ago)

divide 400 by 2 that is 200 now readers who studies science = 250 which is 50 extra than 200 and 230 studies literacy which is 30 extra than 200 so add 50+30=80
is the answer.
|------200-------| total
|-----------250 science
230-----------| literacy

Is this solution Helpfull? Yes (1) | No   

PRIYA.V  (10 years ago)

(250+230)-400=180

Is this solution Helpfull? Yes | No (6)  

PRIYA.V  (10 years ago)

(250+230)-400=80

Is this solution Helpfull? Yes | No (1)  

Neha Shahi  (10 years ago)

(250+230)-400=480-400=80

Is this solution Helpfull? Yes | No (1)  

eswariteja  (10 years ago)

250+230=480-400=80

Is this solution Helpfull? Yes | No (1)  

Sundar Kumar  (10 years ago)

let X= both read science fiction and literacy works
400=250+230-x
x=480-400
x=80
therefore, both read science fiction and literacy works x= 80

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souharda  (10 years ago)

80 reads both
(230+250-400)

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vijay  (10 years ago)

very simple total 400 readers,250 science,230 literacy..
we what know the total science readers so 400-250=150
literacy 400-230=170,
150+170=320,reaming is 400-320=80 reads both..

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Sravya  (10 years ago)

let, people who read both science and fiction =x
then, 400=250+230-x
x=80

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sunil kumar  (10 years ago)

80
400=250+230-x

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B.padmavathi  (7 years ago)

n(A U B) =400
n(A) =250
n(B)=230
n(A U B) =n(A) + n(B) - n(A ∩ B)
400 =250+230-n(A ∩ B)
480-400 =n(A ∩ B)
80=n(A ∩ B)

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Divya Batra  (7 years ago)

answer is :- 80
solution:-
n(S)=250, n(L)=230, n(S or L)=400
therefore, n(S and L)=(250+230)-400=80.

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