In a class 80% have passed english,70% passed Hindi 10%
didnot passed either. If 144 students passed both. What is
the total strength of the class.

Answers were Sorted based on User's Feedback



In a class 80% have passed english,70% passed Hindi 10% didnot passed either. If 144 students passe..

Answer / avinash

let t = total no of students.. then
students who passed one or both subjects,

n(e U h) = n(e) + n(h) - n(e intersection h)
=> t = 0.8t + 0.7t - 144
=> t = 1.5t - 144

students who failed both subjects is 10% i.e. 0.1t
=>t-n(e U h) = 0.1t,
=>t -(1.5t - 144) = 0.1t
=>t- 1.5t- 0.1t = -144
=> -0.6t = -144
=>t = 240

Is This Answer Correct ?    98 Yes 6 No

In a class 80% have passed english,70% passed Hindi 10% didnot passed either. If 144 students passe..

Answer / guest

240

Is This Answer Correct ?    72 Yes 7 No

In a class 80% have passed english,70% passed Hindi 10% didnot passed either. If 144 students passe..

Answer / binz

let no of students passed eng be .8t
" " " " " hind be .7t
did not pass either be .1t
then total no of students =.8t+.7t+.1t-144=t
1.6t-t=144
t=144/.6
=240

Is This Answer Correct ?    60 Yes 4 No

In a class 80% have passed english,70% passed Hindi 10% didnot passed either. If 144 students passe..

Answer / karthik

Another way:
let t = students who passed one or both subjects,
and x = total students

n(e U h) = n(e) + n(h) - n(e intersection h)
=> x = 0.8t + 0.7t - 144
=> x = 1.5t - 144
=>1.5t - x = 144 --------(1)

students who failed both subjects is 10%
=>x-t = 0.1x
=>0.9x - t = ---------(2)

Solving (1) & (2), we get x = 240.

Is This Answer Correct ?    33 Yes 0 No

In a class 80% have passed english,70% passed Hindi 10% didnot passed either. If 144 students passe..

Answer / pravin

the above method s th easiest way to get the ans....

Is This Answer Correct ?    12 Yes 1 No

In a class 80% have passed english,70% passed Hindi 10% didnot passed either. If 144 students passe..

Answer / kavya

240

Is This Answer Correct ?    1 Yes 0 No

In a class 80% have passed english,70% passed Hindi 10% didnot passed either. If 144 students passe..

Answer / tanveer

160

Is This Answer Correct ?    0 Yes 2 No

In a class 80% have passed english,70% passed Hindi 10% didnot passed either. If 144 students passe..

Answer / guest

above is the best

Is This Answer Correct ?    0 Yes 3 No

In a class 80% have passed english,70% passed Hindi 10% didnot passed either. If 144 students passe..

Answer / aprameya shyam

let t = total no of students.. then
(e U h) = n(e) + n(h) - n(e intersection h)
=> t = 8t/10 + 7t/10 - 144
=> t = 288 students

Is This Answer Correct ?    10 Yes 41 No

In a class 80% have passed english,70% passed Hindi 10% didnot passed either. If 144 students passe..

Answer / sekhar

480

Is This Answer Correct ?    1 Yes 34 No

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