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Cubes Test - 1
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Cubes Test - 1
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  • Question 1/10
    3 / -1

    The cube root of .000216 is:

    Solutions

    Square Root and Cube Root mcq solution image

  • Question 2/10
    3 / -1

    Cube root of 0.064 is

    Solutions

    0.064 = 64/1000= 4^3 / 10^3 =(4/10)^3= (2/5)^3 

    taking cube root of 0.064= 2/5=0.4

  • Question 3/10
    3 / -1

    The cube of any multiple of 2 is always divisible by

    Solutions

    Cube of multiple of 2 is divisible by 8
    eg:

  • Question 4/10
    3 / -1

    What is the smallest number by which 3600 be divided to make it a perfect cube?

    Solutions

    Prime factorise 3600.

    You will get 3600 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5

    Now group the numbers into groups of 3.

    You will get 1 group of 2 and remaining numbers i.e. 2,3,3,5,5

    Now multiply these extra numbers

    You will get 2 x 3 x 3 x 5 x 5 = 450

    So, 3600 divided by 450 = perfect cube (8)

  • Question 5/10
    3 / -1

    Cube of all odd natural numbers is

    Solutions

    Odd, Any odd number to power 3 will have unit digit odd

    Ex.  7^3=3. 49^3=9.

  • Question 6/10
    3 / -1

    (8.01)2 + ? = (8.97)2 What will approximately come in place of question mark? 

    Solutions

  • Question 7/10
    3 / -1

    The smallest number by which 5400 must be multiplied so that it become a perfect cube, is

    Solutions

    Find prime factors of 5400

    5400=2×3×3×3×2×2×5×5

    If we group them in the group of 3

    5400=(2×2×2)×(3×3×3)×5×5

    Here to make group of 3 for 5

    We have to multiply 5400 by 5.

  • Question 8/10
    3 / -1

    Cube of all even natural numbers is

  • Question 9/10
    3 / -1

    Cube of a natural number will never end with the digit

    Solutions

    There'd no such digit which can't end in a cube of a natural number. Hence a cube of a natural number can end with any digit.
    1³= 1 (ends with 1)
    2³= 8 (ends with 8)
    3³= 27 (ends with 7)
    4³= 64 (ends with 4)
    5³= 125 (ends with 5)
    6³= 216 (ends with 6)
    7³= 343 (ends with 3)
    8³= 512 (ends with 2)
    9³= 729 (ends with 9)
    0³= 0 (ends with 0)
    Hence the last digits are 0,1,8,7,4,5,6,3,2,9
    Therefore we see every digits are last digits of these cubes. Hence a cube of a natural number can end with any digit.

  • Question 10/10
    3 / -1

    Cube of 0.2 is

    Solutions

    0.2×0.2×0.2=0.008

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