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Ratio And Proportion Test-3

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Ratio And Proportion Test-3
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  • Question 1
    1 / -0.25

    In a class, the number of boys and girls is in the ratio of 4 : 5. If 10 more boys join the class, the ratio of boys to girls becomes  6 : 5. How many girls are there in the class.

  • Question 2
    1 / -0.25

    The sum of the ages of a father and his son is 100 yrs now. Five years ago their ages were in the ratio 2 : 1. Find the ratio of ages of father and son after 10 years.

    Solution

    The correct option is B.
    Let present age of father - x
    present age of son. - y
    X + Y = 100. y = 100 - x
    five years ago their ages = x -5/y-5 =2/1
    - x - 5 = 2y - 10 , x - 5 = (100-x)2 - 10
    x - 5 = 200 - 2x - 10 , 3x = 195 ,
    x = 195/3 = 65,
    y = 100 - 65 = 35
    Ratio after 10 years= 65+10/35+10 = 75/45 =5/3.
     

  • Question 3
    1 / -0.25

    The average age of a woman and her daughter is 19 years. The ratio of their ages is 16 : 3. What is the age of the daughter? 

    Solution

    Woman ’s age = 16x years  
    Her daughter ’s age = 3x years  
    ∴ 16x + 3x = 2 ×19 = 38  
    ⇒ 19x = 38  ⇒ x = 2
    ∴  Daughter ’s age = 3 ×2  

  • Question 4
    1 / -0.25

    The ages of A and B are in the ratio 12 : 7. After 6 years the ratio will become 3 : 2. What is the difference in their ages

  • Question 5
    1 / -0.25

    The average age of a man and his two sons, born on the same day, is 30 yr. The ratio of the ages of father to one of the sons is 5 : 2. What is the father ’s age.

  • Question 6
    1 / -0.25

    The ratio of present ages of Seeta and Geeta is 8 : 9. The sum of their ages is 68. What will be the ratio of their ages after 10 years?

  • Question 7
    1 / -0.25

    The ratio between the present ages of Punit and suresh is 4 : 5. After 7 years Punit ’s age will be 31 years. What was Suresh ’s age four years ago

    Solution

    Let the present ages of Punit and Suresh be 4x and 5x
    According to the question-
    4x+7=31
    4x=31-7
    4x=24
    X=6
    Now, present age of suresh= 5x ⇒5(6)
    30 years

    so, his age 4 years ago=30-4=26 years

  • Question 8
    1 / -0.25

    In a town 80% of the population are adults of which men and women are in the ratio of 9 : 7 respectively. If the number of adult women is 4.2 Lakh, what is the total population of the town.

    Solution

    Let the number of adult men be N.
    Then, ratio of the numbers of adult men and adult women
    9 : 7 = N : 4.2
    ⇒ N = (9/7) x 4.2 = 5.4 Lakh
    Total adult population = 4.2 + 5.4 = 9.6 lakh.

    If the population of the town be M Lakh,
    then, 80M/100 = 9.6
    ⇒ M = (9.6 x 100)/80 = 12 lakh

  • Question 9
    1 / -0.25

    If the positions of the digits of a two digit no. are interchanged the number newly formed is smaller than the original number by 45. Also the ratio of new number to original number is 3 : 8. What is the original number

  • Question 10
    1 / -0.25

    There are two triangles A and B. The angles of triangle A are in the ratio 3 : 4 : 5 and the angles of triangle B are in the ratio of 5 : 6 : 7. What is the difference between the largest angle of triangle A and the smallest angle of triangle B.

    Solution

    The sum of all angles of triangle is 180 degrees .

    so , in triangle A , let the sides be 3x,4x,5x
    3x+4x+5x=180
    12x=180 therefore x=15.
    so, the angles are 3x = 45, 4x=60, 5x=75
    Similarly in triangle B  
    5x+6x+7x=180  
    so x=10  
    angles are 50,60,70  
    largest angle of triangle A is 75 and smallest of B is 50 and the difference is 25 .

     

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