Order of Magnitude


  1. Find the least number which multiplied with 74088 will make it a perfect square ?









  1. View Hint View Answer Discuss in Forum

    74088 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7
    = (2 x 2) x (3 x 3) x (7 x 7) x ( 2 x 3 x 7)

    Correct Option: A

    74088 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7
    = (2 x 2) x (3 x 3) x (7 x 7) x ( 2 x 3 x 7)
    ∴ Least number which should be multiplied to 74088 to make it a perfect suqare = 2 x 3 x 7 = 42


  1. Find the number whose square is equal to the difference between the square of 75.15 and 60.12. ?









  1. View Hint View Answer Discuss in Forum

    Let the number be x.
    Then, accordingto the question,
    x2 = (75.15)2 - (60.12)2

    Correct Option: C

    Let the number be x.
    Then, accordingto the question,
    x2 = (75.15)2 - (60.12)2
    ⇒ x2 = 5647.52 - 3614.41
    ⇒ x2 = 2033.11
    ∴ x = 45.09



  1. A general wishing to draw up his 16160 soldiers in the form as a solid square, found that he had 31 soldiers left over. Find the number of soldiers in the front. ?









  1. View Hint View Answer Discuss in Forum

    Let the total number of soliders in front be x. Then, total number of soliders in form of solid square = x2
    According to the question, x2 + 31 = 16160

    Correct Option: D

    Let the total number of soliders in front be x. Then, total number of soliders in form of solid square = x2
    According to the question, x2 + 31 = 16160
    ⇒ x2 = 16129 ⇒ x = √16129
    ∴ x = 127


  1. A certain number of people agree to subscribe as many rupees each as there are subscribers. The whole subscription is Rs. 2582449. Find the number of subscriber.









  1. View Hint View Answer Discuss in Forum

    Let the total number of subbscribers be x.
    Then, x2 = 2582449

    Correct Option: A

    Let the total number of subbscribers be x.
    Then, x2 = 2582449
    ⇒ x = √2582449 = 1607



  1. Each student of class IX contributed some money for a picnic. The money contributed by each student was equal to the cube of the total number of student. If the total collected amount was Rs. 29791, then find the total number of students.









  1. View Hint View Answer Discuss in Forum

    Total collected amount = Rs. 29791
    ∴ Total number of student = ∛29791 = 31

    Correct Option: B

    Total collected amount = Rs. 29791
    ∴ Total number of student = ∛29791 = 31