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By Mathematics Mcqs 5 Comments

In a certain class the ratio of men to women is 3:5. If the class has 24 people in it, how many are women?

A. 9
B. 12
C. 15
D. 18

Step-by-step explanation:

Concept:

A ratio in mathematics shows how many times one number is contained in another.

A ratio can have any number of quantities, such as counts of people or things or measurements of length, weight, time, etc. Both numbers must be positive in most situations.

A ratio can therefore be thought of as an ordered pair of integers, a fraction with the first number in the numerator and the second in the denominator, or as the value represented by this fraction.

Given:

In a certain class the ratio of men to women is 

In a class there are  people.

Find:

To find the number of women in a class.

Solution:

Given that the ratio of men and women in a class is 

Let us assume the ratio be  and 

Given the total no of people in a class is 

We have 

Hence

Substituting 

we get 

The number of women in a class is .

Related Mcqs:

  1. 6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in_______days.

    A. 4 days
    B. 6 days
    C. 2 days
    D. 8 days

  2. Candidates in a competitive examination consisted of 60% men and 40% women 70% men and 75% women cleared the qualifying test and entered the final test where 80% men and 70% women were successful? Which of the following statements is correct?

    A. Success rate is higher for women
    B. Overall success rate is below 50%
    C. More men cleared the examination than women
    D. Both ‘A’ and ‘B’

  3. The ratio of boys and girls in a class was 11:13. 8 girls and 4 boys join the class from this academic year and the ratio becomes 4:5. Find the strength of the class.

    A. 96
    B. 68
    C. 72
    D. 108

  4. 3 men and 7 women can complete a work in 10 days . But 4 men and 6 women need 8 days to complete the same work . In how many days will 10 women complete the same work?

    A. 50
    B. 30
    C. 40
    D. 13

  5. The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?

    A. 36 years
    B. 24 years
    C. 30 years
    D. 18 years

  6. A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group?

    A. 300
    B. 600
    C. 750
    D. 900

  7. In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

    A. 63
    B. 90
    C. 126
    D. 45

  8. A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?

    A. 150
    B. 200
    C. 250
    D. 300

  9. 2 men and 12 women can finish a job in 4 days. 4 men and 6 women can do the same job in 5 days. Find the time taken by 1 man and 1 woman to complete the job.

    A. 30 days
    B. 25 days
    C. 24 days
    D. 20 days

  10. 10 men can complete a work in 7 days. But 10 women need 14 days to complete the same work. How many days will 5 men and 10 women need to complete the work?

    A. 7
    B. 5
    C. 6
    D. 4

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