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Quadratic Equations

Quantitative Aptitude Quiz for SBI PO/CLERK & Other Bank Exams

Directions (Q. 1-5): Study the information carefully and answer the given questions.

In a company total 2700 employees work in five different departments, namely D1, D2, D3, D4, and D5. The ratio of males to females in the company is 5 : 4. 26% of the female employees work in department D1 and 14% of the male employees work in department D2. The difference between the male and female employees in department D1 is 138 and the ratio of male to female employee in department D2 is 7 : 6. The total number of employees working in department D3 is 210, in which the number of female employees is 75% of the total number of males. The number of females working in department D4 is equal to the total number of males working in department D2 and the number of males working in department D4 is three more than the number of females working in department D1. The remaining male and female employees work in department D5.

1. What is the total number of females working in department D5?

1) 397

2) 408

3) 415

4) 418

5) None of these

2. The total number of males working in department D4 is what per cent of the total number of males working in the company?

1) 15%

2) 18%

3) 21%

4) 24%

5) 27%

3. The total number of females working in department D2 is what per cent of the total number of males working in department D1?

1) 25%

2) 30%

3) 36%

4) 40%

5) 45%

4. The number of females working in department D3 is what per cent of the number of males working in the same department?

1) 120%

2) 133%

3) 80%

4) 75%

5) 60%

5. What is the ratio of the number of males working in department D5 to the number of males working in department D1?

1) 4 : 5

2) 8 : 9

3) 9 : 10

4) 14 : 15

5) None of these

Directions (Q. 6-10): In each of the following questions, a question is followed by information given in three statements I, II and III. You have to consider the information in all the three statements and decide the information in which of the statements is not necessarily required to answer the question and therefore can be dispensed with. Indicate your answer accordingly.

6. What is the present population of City A?

I. The ratio of the population of City A to that of City B is 3 : 4.

II. The growth rate of population of City B is 10% per year.

III. After one year the ratio of the population of City A to that of City B will be 9 : 11.

1) None of the statements can be dispensed with

2) Only I

3) Only II

4) Only III

5) The question can’t be answered even with the help of the information provided in all the three statements.

7. What is the speed of train A?

I. The train crosses a pole in 12 seconds.

II. Train A crosses train B running in opposite direction in 10 seconds.

III. The length of train A is 60 metres.

1) None of the statements can be dispensed with

2) Only I

3) Only II

4) Only III

5) The question can’t be answered even with the help of the information provided in all the three statements.

8. What is the area of a rectangular park?

I. The perimeter of the park is 140 metres.

II. The diagonal of the park is 50 metres.

III. The ratio of the length to breadth of the park is 4 : 3

1) None of the statements can be dispensed with

2) Any one of the three

3) Only III

4) Only I

5) None of these

9. What is a two-digit number?

I. The sum of the digits is 13.

II. The difference between the number and the number obtained by interchanging the digits is 27.      

III. The difference of the digits of the number is 3.

1) Only III

2) Only I

3) Only II

4) Any one of the three

5) Question cannot be answered even with the help of the information provided in all the three statements

10. The ratio of the ages of two persons A and B is 3 : 2. What will be the ratio of their ages after 10 years?

I. The difference of their ages is 20 years.

II. The sum of their ages is 100 years.

III. The difference of their ages 16 years ago was 20 years.

1) Only III

2) Only I

3) Only II

4) None of the statements can be dispensed with

5) Any two of the three

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