Read the following information carefully to answer the questions given below :
In a college , 600 students of B.Tech are enrolled. The ratio of boys to girls is 7:8 . There are three disciplines , namely Computer Science, Electronics and Electrical, in the college. In Computer Science discipline there are 50% girls of their total number and the boys are 40% of their total
number. In Electronics discipline, girls are 30% of their total number while boys are 30% of their total number. Electrical discipline has girls 20% of their total number and the boys are 30% of their total number. 28 boys and 36 girls are Electronic and Computer Science both . 24 boys and 28 girls are in Electronics and Electrical both . 20 boys and 32 girls are Computer Science and Electrical both. 8 boys and 12 girls are enrolled in all three disciplines .
number. In Electronics discipline, girls are 30% of their total number while boys are 30% of their total number. Electrical discipline has girls 20% of their total number and the boys are 30% of their total number. 28 boys and 36 girls are Electronic and Computer Science both . 24 boys and 28 girls are in Electronics and Electrical both . 20 boys and 32 girls are Computer Science and Electrical both. 8 boys and 12 girls are enrolled in all three disciplines .
1. What percentage of students are enrolled in all three disciplines ?
5.None of these
2. What is the ratio of boys to girls only in Computer Science discipline ?
5. None of these
3. The ratio of the number of boys in Computer Science and Electrical both to that of girls only in Electrical is
5. None of these
4. By what per cent is the number of boys in Computer Science discipline more than the number of girls in Electronics discipline ?
5. None of these
5. The ratio of boys to girls enrolled only in Electronics ?
5. None of these
Answers and Solutions :
Solution :
Total number of students = 600
Number of boys in college = 7*600/15 =280
Number of girls in college = 8*600/15 = 320
Computer Science + Electronics :
Girls = 36
Electrical + Electronics :
Girls = 28
Computer Science + Electrical :
Girls = 32
All three disciplines :
Girls = 12
Computer Science :
Boys = 40*280/100 = 112
Girls = 50*320/100 = 160
Only boys = 72
Only girls = 104
Electronics :
Boys = 30*280/100 = 84
Girls = 30*320/100 = 96
Only boys = 40
Only girls = 44
Electrical :
Boys = 30*280/100 = 84
Girls = 20*320/100 = 64
Only boys = 48
Only girls = 16
Answers :
Total number of students enrolled in all three disciplines = 20
Total number of students = 600
Percentage = (20*100)/600 = 3.33%
Ratio = 72 : 104 = 9:13
Boy both computer science and Electrical = 12+8 = 20
Only girls electrical = 16
Ratio = 20:16 = 5:4
Percentage = (112-96)*100/96= 50/3 %
Boy only electronic = 40
Girls only electronic = 44
Ratio = 40:44 = 10:11
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