Square root and cube root

  1. A certain number of people agree to subscribe as many rupees each as a there are subscribers. The whole subscription is 2582449 rupees. Find the number of subscribers.
    1. 1607
    2. 1291
    3. 1503
    4. 1603
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    Let the total number of subscribers be x.
    Then, according to the question, x2 = 2582449

    Correct Option: A

    Let the total number of subscribers be x.
    Then, according to the question, x2 = 2582449
    ∴ x = √2582449
    = 1607

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  1. Find the least number which when multiplied with 74088 will make it a perfect square.
    1. 42
    2. 44
    3. 46
    4. 48
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    74088 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7

    Correct Option: A

    74088 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7
    = (2x2) x (3x3) x (7x7) x (2x3x7)
    Least number which should be multiplied to 74088 to make it a Perfect square = 2 x 3 x 7 = 42

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  1. Find the cube root of 19683.
    1. 25
    2. 26
    3. 28
    4. 27
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    In 19683, 19 lies between 23 and 33, so left digit is 2 and 683 ends with 3, so right digit is 7.

    Correct Option: D

    In 19683, 19 lies between 23 and 33, so left digit is 2 and 683 ends with 3, so right digit is 7.
    thus 27 is a cube root of 19683.

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  1. Find the least number by which 175760 be devided to make it a perfect cube.
    1. 10
    2. 20
    3. 100
    4. 5
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    175760 = 24 x 5 x 13 3
    = 23 x 2 x 5 x 133

    Correct Option: A

    175760 = 24 x 5 x 13 3
    = 23 x 2 x 5 x 133
    To make perfect cube, it must be divided by 2 x 5 = 10

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  1. The student of class XI of a school donated 4356 Rupees in all, for Prime Minister's National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class.
    1. 65
    2. 60
    3. 66
    4. 70
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    Total Students =√4356

    Correct Option: C

    Total money donated = 4356 rupees

    As total students are equal to the sum donated by each student.
    Total Students =√4356
    = 66

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