Comprehension

Study the information carefully to answer the following questions:
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.

Question: 1

What is the total number of members enrolled in the table tennis?

Updated On: Oct 13, 2024
  • 250
  • 125
  • 100
  • 425
  • None of these
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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

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Question: 2

What is the total number of females enrolled in boxing and judo and karate together?

Updated On: Oct 13, 2024
  • 250
  • 185
  • 240
  • 275
  • None of these
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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.

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Question: 3

What is the number of females enrolled in the badminton?

Updated On: Oct 13, 2024
  • 90
  • 300
  • 150
  • 125
  • None of these
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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.

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Question: 4

Number of males enrolled in Lawn Tennis forms approximately what percent of total number of the members in the sports club?

Updated On: Oct 13, 2024
  • 11
  • 7
  • 15
  • 20
  • 23
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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.

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Question: 5

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)

Updated On: Oct 13, 2024
  • 66.67
  • 83.34
  • 58.78
  • 77.76
  • 42.45
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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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