Ratio, Proportion


  1. A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is ?









  1. View Hint View Answer Discuss in Forum

    Let the heights of the cylinder and cone be h and H respectively.
    ∵ πr2h = πr2H / 3

    Correct Option: D

    Let the heights of the cylinder and cone be h and H respectively.
    ∵ πr2h = πr2H / 3
    ⇒ h/H = 1/3
    ∴ h : H = 1 : 3.
    So their heights are in the ratio 1 : 3.


  1. If 3/4th of the employees in a super market are not college graduates What is the ratio of the number of college graduates to those who are not college graduates ?









  1. View Hint View Answer Discuss in Forum

    Of every 4 employees, 1 is college graduate and 3 are not college graduates.

    Correct Option: C

    Of every 4 employees, 1 is college graduate and 3 are not college graduates.
    ∴ The required ration = 1 : 3



  1. The strength of a school is 840. The ratio of the number of students talking English to the number of students not talking English is 4 : 3. How many of the students take English ?









  1. View Hint View Answer Discuss in Forum

    The number of students talking English = 4/(4 + 3) x 840

    Correct Option: A

    The number of students talking English = 4/(4 + 3) x 840 = 480


  1. A bag contains 25 paise, 10 paise and 5 paise coins in the ratio 1 : 2 : 3 . If their total value is ₹ 60, then the number of 5 paise coins is ?









  1. View Hint View Answer Discuss in Forum

    Let the number of 25 paise, 10 paise and 5 paise coins be N, 2N and 3N, respectively. Then ,
    N + 2N + 3N = 60

    Correct Option: C

    Let the number of 25 paise, 10 paise and 5 paise coins be N, 2N and 3N, respectively. Then ,
    N + 2N + 3N = 60
    ⇒ N = 10
    ∴ The number of 5 paise coins = 3 x 10 = 30



  1. Some money is divided amongst three workers A, B and C such that 5 times A's share is equal to 12 times B's share which is equal to 6 times C's share. The ratio between the shares of A, B and C is ?









  1. View Hint View Answer Discuss in Forum

    Let 5A = 12B = 6C = k
    Then, A = k/5, B = k/12 and C = k/6

    Correct Option: B

    Let 5A = 12B = 6C = k
    Then, A = k/5, B = k/12 and C = k/6
    ∴ A : B : C = k/5 : k/12 : k/6 = 12 : 5 : 10