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**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 ?**

1.3.3%

2.7.2%

3.8.5%

4.9.32%

5.None of these

**2. What is the ratio of boys to girls only in Computer Science discipline ?**

1.13.9

2.9:13

3.9:11

4.11:9

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**

1. 5:3

2. 3:5

3. 5:4

4. 4:7

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 ?**

1.40/3 %

2.100/3 %

3.50/3 %

4.44/3

5. None of these

**5. The ratio of boys to girls enrolled only in Electronics ?**

1. 10:11

2. 9:10

3. 7:5

4. 5:7

5. None of these

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**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 :

Boys = 28

Girls = 36

Electrical + Electronics :

Boys = 24

Girls = 28

Computer Science + Electrical :

Boys = 20

Girls = 32

All three disciplines :

Boys = 8

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 :**

1. 1

Total number of students enrolled in all three disciplines = 20

Total number of students = 600

Percentage = (20*100)/600 = 3.33%

2. 2

Ratio = 72 : 104 = 9:13

3.3

Boy both computer science and Electrical = 12+8 = 20

Only girls electrical = 16

Ratio = 20:16 = 5:4

4.3

Percentage = (112-96)*100/96= 50/3 %

5.1

Boy only electronic = 40

Girls only electronic = 44

Ratio = 40:44 = 10:11

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