In a Sports Club consisting of 1250 Members, the ratio of Males to Females is 3 : 2 respectively. All the members are enrolled in five different Games viz. Boxing, Judo and Karate, Badminton, Table Tennis and Law Tennis. 18 percent of the Females are enrolled in Judo and Karate. 40 percent of Males are enrolled in Badminton. One-fifth of the females are enrolled in the table tennis. The ratio of enrollment of males to females in the Judo and Karate is 3 : 2 respectively. 20 percent of the total numbers of members are enrolled in boxing. Females enrolled in table tennis are 80 percent of the males enrolled in the same game. 12 percent of the males are enrolled in lawn tennis. The remaining males are enrolled in boxing. 25 percent of the females are enrolled in badminton and the remaining females are enrolled the lawn tennis.
What is the total number of members enrolled in the table tennis?
- 250
- 125
- 100
- 425
- None of these
The Correct Option is
Solution and Explanation
In the question it is given that,
Total Students Enrolled = 1250
Male : Female Ratio = 3: 2
= 3: 2 = 1250
No. of males = \(\frac{3}{5} × 1250\)
= 750
No. of females = 1250 - 750
= 500
Females enrolled in table tennis of total females = \(\frac{1}{5}\)
= \(\frac{1}{5} × 500\)
= 100
No. of males be \(x\)
Given that 80% females and 20% males of the total no. of females joined table tennis
= \(0.8x = 100\)
= \(x = 125\)
Total Students enrolled in Table Tennis = 125 + 100
= 225
The correct option is (E): None Oh the Above
What is the total number of females enrolled in boxing and judo and karate together?
- 250
- 185
- 240
- 275
- None of these
The Correct Option is C
Solution and Explanation
In the question it is given that,
Total Students Enrolled = 1250
Male: Female Ratio = 3: 2
= 3: 2 = 1250
No. of males = \(\frac{3}{5} × 1250\)
= 750
No. of females = 1250 - 750
= 500
No. of females enrolled in Judo and Karate = 18%
= \(\frac{18}{100} × 500\)
= 90
Total members are enrolled in Boxing = 20%
= \(\frac{20}{100} × 1250\)
= 250
No. of males in boxing = 750 - 135(in Judo and Karate) +300(in Badminton) +125(in Table Tennis) +90(in Lawn Tennis)
= 750 - 650 = 100
No. of Females in Boxing = 250 - 100
= 150
Total number of females enrolled in boxing and judo and karate together = 150 + 90
= 240
The correct option is (C): 240.
What is the number of females enrolled in the badminton?
- 90
- 300
- 150
- 125
- None of these
The Correct Option is D
Solution and Explanation
In the question it is given that,
Total Students Enrolled = 1250
Male : Female Ratio = 3: 2
= 3: 2 = 1250
No. of males = \(\frac{3}{5} × 1250\)
= 750
No. of females = 1250 - 750
= 500
Number of females enrolled in the badminton = 25%
= \(\frac{25}{100} × 500\)
= 125 females
The correct option is (D): 125 Females.
Number of males enrolled in Lawn Tennis forms approximately what percent of total number of the members in the sports club?
- 11
- 7
- 15
- 20
- 23
The Correct Option is B
Solution and Explanation
In the question it is given that,
Total Students Enrolled = 1250
Male : Female Ratio = 3: 2
= 3: 2 = 1250
No. of males = \(\frac{3}{5} × 1250\)
= 750
No. of females = 1250 - 750
= 500
Number of males enrolled in Lawn Tennis = 12%
= \(\frac{12}{750} × 500\)
= 90 males
Percentage = \(\frac{90}{1250} × 100\)
= 7.2%
≈ 7%
The correct option is (B): 7.
Number of males enrolled in boxing forms what percent of the number of females enrolled in the same game? (rounded off to two digits after decimal)
- 66.67
- 83.34
- 58.78
- 77.76
- 42.45
The Correct Option is A
Solution and Explanation
In the question it is given that,
Total Students Enrolled = 1250
Male : Female Ratio = 3: 2
= 3: 2 = 1250
No. of males = \(\frac{3}{5} × 1250\)
= 750
No. of females = 1250 - 750
= 500
Number of males enrolled in Boxing = 100
Number of females enrolled in Boxing = 125
Percentage = \(\frac{100}{150} × 100\)
= 66.67%
The correct option is (A): 66.67.
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