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Cubes and Cube Roots Test - 5

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Cubes and Cube Roots Test - 5
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  • Question 1
    1 / -0

    Find the unit digit in the cube of the number 3331.

    Solution

    (a): Unit digit will be 1 as 1(in3331) × 1 × 1 = 1

  • Question 2
    1 / -0

     The smallest number by which 2560 must be multiplied so that the product will be a perfect cube.

    Solution

    (b): 2560 ÷ 4 = 640 640 × 10 = 6400(perfect cube) ⇒2560 × 10/4 = 6400 ∴ 10/4 = 2.5

  • Question 3
    1 / -0

    Find the value of [(52 + 122)] is given by

    Solution

    (a): (52 + 122)1/2 = 13 133 = 169 × 13 = 2197.

  • Question 4
    1 / -0

    Find the least number by which 3087 must be multiplied to make it a perfect cube.

    Solution

    (a) 3087 = 3 × 1029  = 3 × 3 × 343  = 3 × 3 × 73 If we multiplying by 3, We have 33 × 73 perfect cube. Ans = 3.

  • Question 5
    1 / -0

    Which one of the following is a perfect cube?

    Solution

    (b): 12=1728

  • Question 6
    1 / -0

    Which one of the following numbers is not a perfect cube?

    Solution

    (c): 2197 = 133 512 = 83343 = 73 But 2916 (not perfect cube). 

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