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CDS - Cube & Cube Root Test 965
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CDS - Cube & Cube Root Test 965
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  • Question 1/5
    1 / -0.33
    Which one of the following is correct?
    Solutions
    All the choices have the same three surds
    We can compare them at same time
    Let a=21/2 b=61/4
    A4=4 and b4=6 i.e. a<b
    Let c =41/3 b12=63=216 and c12=44=256
    i.e.b<c
    Hence a<b<c
  • Question 2/5
    1 / -0.33
    Solutions

    ⇒

    ⇒

    ⇒

  • Question 3/5
    1 / -0.33
    Find the least number which must be multiplied with 224939 to get a perfect cube :
    Solutions

     224939 = 11 × 11 × 11 × 13 × 13

    Clearly 224939 must be multiplied by 13 to make it a perfect cube.

  • Question 4/5
    1 / -0.33
    The difference of two consecutive cubes
    Solutions

    We know that (odd*odd*odd=odd), (even*even*even=even) and (odd-even=odd or even-odd=odd)

    Now cube of 1 will be 1 (which is odd)

    And of 2 will be 8 (which is even)

    And hence every alternative cube after ‘cube of 2’ will be even and the other one will be odd. Hence, the difference between two consecutive cubes will be always odd, i.e. it is never divisible by 2.

  • Question 5/5
    1 / -0.33
    Find cube root of 4826809
    Solutions

    Step-1

    ⇒ Find the number formed by last three digit of 4826809 = 809

    ⇒ As last digit of 809 is 9 so we shall look the number between 0 to 9 which have cube ended with 9 .

    ⇒ As cube of 9 is 729 so keep in mind 9 & forget 809.

    Step-2

    ⇒ Now remaining number is 4826

    ⇒ Find number which have cube just less than 4826 .

    ⇒ That number is 16 which have cube 4096

    So cube root of 4826809 is 169.

    Note-Above method is shortcut method for finding cube root. You have to remember cube from 0 to 20 to use this method.

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