Question

ɪɴ ꜱᴜʀᴠᴇy ᴏꜰ 100 ꜱᴛᴜᴅᴇɴᴛꜱ ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏꜰ ꜱᴛᴜᴅᴇɴᴛꜱ ꜱᴛᴜᴅyɪɴɢ ᴠᴀʀɪᴏᴜꜱ ʟᴀɴɢᴜᴀɢᴇꜱ ᴡᴇʀᴇ ꜰᴏᴜɴᴅ ᴛᴏ ʙᴇ ᴇɴɢʟɪɴɢ ᴏɴʟy-18,ᴇɴɢʟɪꜱʜ ʙᴜᴛ ɴᴏᴛ ʜɪɴᴅɪ-21,ᴇɴɢʟɪꜱʜ ᴀɴᴅ ꜱᴀɴꜱᴋʀɪᴛ-8,ᴇɴɢʟɪꜱʜ-26,ꜱᴀɴꜱᴋʀɪᴛ-48,ꜱᴀɴꜱᴋʀɪᴛ ᴀɴᴅ ʜɪɴᴅɪ-8,ɴᴏ ʟᴀɴɢᴜᴀɢᴇꜱ -24.ꜰɪɴᴅ

1. ʜᴏᴡ ᴍᴀɴy ꜱᴛᴜᴅᴇɴᴛꜱ ᴡᴇʀᴇ ꜱᴛᴜᴅyɪɴɢ ʜɪɴᴅɪ?

2. ʜᴏᴡ ᴍᴀɴy ꜱᴛᴜᴅᴇɴᴛꜱ ᴡᴇʀᴇ ꜱᴛᴜᴅyɪɴɢ ᴇɴɢʟɪꜱʜ ᴀɴᴅ ʜɪɴᴅɪ?

ᴅᴏ ɪᴛ ɪɴ ꜱᴇᴛꜱ ꜰᴏʀᴍ ᴜꜱɪɴɢ ꜰᴏʀᴍᴜʟᴀ.​

Answer 1

Answer:

Total students=100

Only English =18

English but not hindi=23

English & sanskrit=8

English =26, sanskrit−48

Sanskrit & Hindi =8

No language =24

from above diagram we can see that no. of students studying Hindi=10+5+3

=18

No. of students studying English and Hindi=3.

E-English, H-Hindi, S-Sanskrit

We have,

Only English = a=18

English but not hindi = a+d=23

English & sanskrit = d+e=8

English = a+b+d+e=26

d+e+f+g=48

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∩E)=b+e=3.

Step-by-step explanation:

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Answer 2

Total students = 100

Only english = 18

English but not hindi = 23

English & sanskrit = 8

English =26 Sanskrit =48

Sanskrit & Hindi = 8

number of students studying Hindi = 10+5+3=18

No. of students studying English and Hindi=3.

E- English, H- Hindi, S- Sanskrit

we have,

Only 3English = a =18

English but not Hindi = a+d = 23

English & Sanskrit = d+e=8

English = a+b+d+e =26

d+e+f+g=48

a+b+c+d+e+f+g=100-24=76

therefore a= 18,b=0,c=10,d=5,e=3,f=5 and g=35

$n(H ╭╮E) = b + e = 3$