In a survey of 100 students, the number of students studying the various languages were found to be: English only 18, English but not Hindi 23, English and Sanskrit 8, English 26, Sanskrit 48, Sanskrit and Hindi 8, no language 24. Find How many students were studying Hindi?

Question

In a survey of 100 students, the number of students studying the various languages were found to be: English only 18, English but not Hindi 23, English and Sanskrit 8, English 26, Sanskrit 48, Sanskrit and Hindi 8, no language 24. Find How many students were studying Hindi? (A) 18 (B) 15 (C) 16 (D) 14

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/853c7a61a2a787f3e387c00b453e3cd3-.jpeg" /> We have, a = 18, a + d = 23, d + e = 8, a + b + d+ e = 26, d + e + f + g = 48, e + f= 8, a + b + c + d + e + f + g = 100 - 24 = 76 ∴ a = 18, b = 0, c= 10, d = 5, e = 3, f = 5 and g = 35 n(H) = b + c + e + f = 18

$18$

$15$

$16$

$14$

We have, $a = 18$ , $a + d = 23$ , $d + e = 8$ ,
$a + b + d + e = 26$ ,
$d + e + f + g = 48$ ,
$e + f = 8$ ,
$a + b + c + d + e + f + g$
$= 100 - 24 = 76$
$∴ a = 18$ , $b = 0$ , $c = 10$ , $d = 5$ ,
$e = 3$ , $f = 5$ and $g = 35$
$n (H) = b + c + e + f = 18$

Q. In a survey of 100 students, the number of students studying the various languages were found to be : English only 18, English but not Hindi 23, English and Sanskrit 8, English 26, Sanskrit 48, Sanskrit and Hindi 8, no language 24. Find How many students were studying Hindi?

18

15

16

14

We have, a=18, a+d=23, d+e=8, a+b+d+e=26, d+e+f+g=48, e+f=8, a+b+c+d+e+f+g =100−24=76 ∴a=18, b=0, c=10, d=5, e=3, f=5 and g=35 n(H)=b+c+e+f=18

$18$

$15$

$16$

$14$

We have, $a = 18$ , $a + d = 23$ , $d + e = 8$ ,
$a + b + d + e = 26$ ,
$d + e + f + g = 48$ ,
$e + f = 8$ ,
$a + b + c + d + e + f + g$
$= 100 - 24 = 76$
$∴ a = 18$ , $b = 0$ , $c = 10$ , $d = 5$ ,
$e = 3$ , $f = 5$ and $g = 35$
$n (H) = b + c + e + f = 18$