# Tables: Exercise-2

#### Overview:

 Questions and Answers Type: MCQ (Multiple Choice Questions). Main Topic: Data Interpretation. Data Interpretation Sub-topic: Tables Questions and Answers. Number of Questions: 5 Questions with Solutions.

Directions: Study the following table carefully and answer the questions given below it.

A number of students from a college X who appeared and qualified in a competitive exam during the last five years. 1. In 2014, 3000 students appeared at the exam and 50% of them qualified. In 2018, the ratio between qualified male and female students was 2:3. What is the total number of female students who qualified in these two years?

1. 980
2. 960
3. 945
4. 935

Solution: Number of students who qualified in 2014, $$= \frac{3000 \times 50}{100}$$ $$= 1500$$ Number of female students in 2014 who qualified, $$= \frac{5}{12} \times 1500 = 625$$ Number of students who qualified in 2018, $$= \frac{850 \times 50}{100} = 425$$ Number of female students who qualified in 2018, $$= \frac{3}{5} \times 425 = 255$$ Hence, total number of female students who qualified in these two years, $$= 625 + 255 = 980$$

1. In 2017, what percent of female students did qualify in the exam among all qualified students?

1. 35.23%
2. 38.25%
3. 43.75%
4. 45.50%

Solution: Percent of female qualified students in 2017, $$= \frac{7}{16} \times 100$$ $$= 43.75 \ \%$$

1. In 2015, If 60% of appeared students did qualify, then find how many male students did qualify in the exam?

1. 215
2. 212
3. 208
4. 206

Solution: Number of qualified students in 2015, $$= \frac{550 \times 60}{100}$$ $$= 330$$ Number of qualified male students in 2015, $$= \frac{5}{8} \times 330$$ $$= 206.25 \approx 206$$

1. In 2016, a total of 80 male students did qualify. What is the respective ratio between males and females who had qualified in 2016?

1. 2:3
2. 4:1
3. 3:5
4. 4:5

Solution: Number of qualified students in 2016, $$= \frac{400 \times 25}{100} = 100$$ Number of female students who qualified in 2016, $$= 100 - 80 = 20$$ Hence, the ratio between males and females who qualified in 2016, $$= 80 : 20$$ $$= 4 : 1$$

1. Find the total number of disqualified students in the years 2016 and 2018 together?

1. 680
2. 710
3. 725
4. 755

Solution: Number of disqualified students in the year 2016, $$= \frac{400 \times (100 - 25)}{100}$$ $$= \frac{400 \times 75}{100}$$ $$= 300$$ Number of disqualified students in the year 2018, $$= \frac{850 \times (100 - 50)}{100}$$ $$= \frac{850 \times 50}{100}$$ $$= 425$$ Hence, total number of disqualified students in the years 2016 and 2018 together, $$= 300 + 425$$ $$= 725$$