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**Direction (1-5): Study the following information carefully and give the answer of the following questions. **A school has 400 students- boys and girls, who are in the ratio of 3:5. The students speak Hindi, English or both the Languages. 12% of the boys speak only Hindi, 22% of the girls speak only English, 24% of the total students speak only Hindi and the number of boys speaking both the Languages is six times the number of boys speaking only Hindi.

1. How many boys speak Hindi?

2. How many girls speak only Hindi?

3. How many students speak English?

4. The number of girls speaking only Hindi is what percent of the total number of students speaking only Hindi?

5. What is the ratio of the number of boys to the number of girls speaking both the languages?

**Direction (6-10): Study the following information and give the answer of the following questions. **6. What is the number of employees in Account Department of offices TCS and HCL?

7. What is the number of employees in Other Departments of offices HCL and Wipro?

8. In Office L&T, 25%, 20% and 50% people in HR, Account and Others Department respectively are females. What is the number of males in these departments in office L&T?

9. What is the ratio of number of employees in Other Departments in offices TCS and HCL?

10. What is the total number of employees in Account Department in all offices?

**Check your Answers below:**

**Direction (1-5): Study the following information carefully and give the answer of the following questions.**A school has 400 students- boys and girls, who are in the ratio of 3:5. The students speak Hindi, English or both the Languages. 12% of the boys speak only Hindi, 22% of the girls speak only English, 24% of the total students speak only Hindi and the number of boys speaking both the Languages is six times the number of boys speaking only Hindi.

How many boys speak Hindi?Ans:3

Total Number of students = 400

Ratio of boys and girls; B: G = 3: 5

Number of boys = 400 * 3/8 = 150

Number of girls = 400 * 5/8 = 250

Total number of students who speak only Hindi (400) -> 24% of 400 = 96

Number of Boys (150):

Only Hindi ->12% of 150 = 18

Only English -> 150 – 18 – 108 = 24

Both -> 6 * 18 =108

Number of Girls (250):

Only Hindi->96 – 18 = 78

Only English ->22% of 250 = 55

Both->250 – 78 – 55 = 117

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108

18 + 108 = 126

Therefore, the numbers of boys who speak Hindi are 126##### 2. Question

**Direction (1-5): Study the following information carefully and give the answer of the following questions.**A school has 400 students- boys and girls, who are in the ratio of 3:5. The students speak Hindi, English or both the Languages. 12% of the boys speak only Hindi, 22% of the girls speak only English, 24% of the total students speak only Hindi and the number of boys speaking both the Languages is six times the number of boys speaking only Hindi.

How many girls speak only Hindi?Ans:2

Total Number of students = 400

Ratio of boys and girls; B: G = 3: 5

Number of boys = 400 * 3/8 = 150

Number of girls = 400 * 5/8 = 250

Total number of students who speak only Hindi (400) -> 24% of 400 = 96

Number of Boys (150):

Only Hindi ->12% of 150 = 18

Only English -> 150 – 18 – 108 = 24

Both -> 6 * 18 =108

Number of Girls (250):

Only Hindi->96 – 18 = 78

Only English ->22% of 250 = 55

Both->250 – 78 – 55 = 117

From the table above, we get to know that number of girls who speak only Hindi are 78.

Therefore, the numbers of girls who speak ONLY Hindi are 78.##### 3. Question

How many students speak English?Ans:2

Total Number of students = 400

Ratio of boys and girls; B: G = 3: 5

Number of boys = 400 * 3/8 = 150

Number of girls = 400 * 5/8 = 250

Total number of students who speak only Hindi (400) -> 24% of 400 = 96

Number of Boys (150):

Only Hindi ->12% of 150 = 18

Only English -> 150 – 18 – 108 = 24

Both -> 6 * 18 =108

Number of Girls (250):

Only Hindi->96 – 18 = 78

Only English ->22% of 250 = 55

Both->250 – 78 – 55 = 117

Total number of students – Number of students who speak only Hindi

400 – 96 = 304

Therefore, the numbers of students who speak English are 304.##### 4. Question

The number of girls speaking only Hindi is what percent of the total number of students speaking only Hindi?Ans:2

Total Number of students = 400

Ratio of boys and girls; B: G = 3: 5

Number of boys = 400 * 3/8 = 150

Number of girls = 400 * 5/8 = 250

Total number of students who speak only Hindi (400) -> 24% of 400 = 96

Number of Boys (150):

Only Hindi ->12% of 150 = 18

Only English -> 150 – 18 – 108 = 24

Both -> 6 * 18 =108

Number of Girls (250):

Only Hindi->96 – 18 = 78

Only English ->22% of 250 = 55

Both->250 – 78 – 55 = 117

Number of girls who speak Hindi – 78 [x]

Total number of students who speak only Hindi – 96 [y]

As we need to find the percentage change we know that

x/y * 100

78/96 * 100

81.25%

Therefore, 81.25% is the percentage change.##### 5. Question

What is the ratio of the number of boys to the number of girls speaking both the languages?Ans:1

Total Number of students = 400

Ratio of boys and girls; B: G = 3: 5

Number of boys = 400 * 3/8 = 150

Number of girls = 400 * 5/8 = 250

Total number of students who speak only Hindi (400) -> 24% of 400 = 96

Number of Boys (150):

Only Hindi ->12% of 150 = 18

Only English -> 150 – 18 – 108 = 24

Both -> 6 * 18 =108

Number of Girls (250):

Only Hindi->96 – 18 = 78

Only English ->22% of 250 = 55

Both->250 – 78 – 55 = 117

Number of boys speaking both the languages = 108

Number of Girls speaking both the languages = 117

The ratio of the number of boys who speak both the languages: Number of girls who speak both languages

= 108: 117

By further simplification we get,

12:13

Therefore, the ratio of boys is to girls who speak both the languages are 12:13.**Direction (6-10): Study the following information and give the answer of the following questions.**

##### 6. Question

What is the number of employees in Account Department of offices TCS and HCL?

Ans:2

In TCS = 18 * 3/2 = 27

In HCL = 32 * 7/8 = 28

Required total = 27+28 = 55##### 7. Question

**Direction (6-10): Study the following information and give the answer of the following questions.**

What is the number of employees in Other Departments of offices HCL and Wipro?Ans:3

In HCL = 32 * 7/8 = 28

In HCL, in Account = 28, so in Others = 250 – (32+28) = 190

In Wipro, in Account = 48 * 11/6 = 88, so in Others= 360 -(48+88) = 224

Required total = 190 + 224 = 414##### 8. Question

**Direction (6-10): Study the following information and give the answer of the following questions.**

In Office L&T, 25%, 20% and 50% people in HR, Account and Others Department respectively are females. What is the number of males in these departments in office L&T?Ans:4

In L&T, in HR = 16, so males = 75/100 * 16 = 12

In L&T, in Account = 16 * 5/8 = 10, so males = 80/100 * 10 = 8

In L&T, in others = 280 – (16+10) = 254, so males = 50/100 * 254 = 127

Required number = 12+8+127 = 147##### 9. Question

**Direction (6-10): Study the following information and give the answer of the following questions.**

What is the ratio of number of employees in Other Departments in offices TCS and HCL?Ans:5

In TCS = 18 * 3/2 = 27

In TCS, in others = 270 – (18+27) = 225

In HCL = 32 * 7/8 = 28

In HCL, in others = 250 – (32+28) = 190

Required ratio = 225: 190 = 45: 38##### 10. Question

**Direction (6-10): Study the following information and give the answer of the following questions.**

What is the total number of employees in Account Department in all offices?Ans:2

In TCS = 18 * 3/2 = 27

In HCL = 32 * 7/8 = 28

In L&T = 16 * 5/8 = 10

In Wipro = 48 * 11/6 = 88

In Infosys = 45/5 *7 = 63

Required number = 27+63+28+10+88 = 216