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Squares, Square Roots, Cubes, Cube Roots Test-1

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Squares, Square Roots, Cubes, Cube Roots Test-1
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  • Question 1
    1 / -0.25

    Which of the following is a perfect square number?

    Solution

    The answer is 1681 because it is the only number which has it 's last digit as a number which a perfect square can have . 9 ×9=81 the last digit is 1.

  • Question 2
    1 / -0.25

    Which of the following would end with digit 1?

    Solution

    Option B is correct because the unit digit of 161 is 1 and if unit digit of any digit ends with 1 the its square will also end with 1.

  • Question 3
    1 / -0.25

    Which of the following is not a perfect square?

    Solution

    Option 1:
    √576 = 24

    Option 2:
    √841 = 29

    Option 3:
    √778 = 27.89 It is not perfect square

    Option D:
    √529 = 23

    Hence, the answer is option C.

  • Question 4
    1 / -0.25

     Sum of squares of two numbers is 145. If square root of one number is 3, find the other number.

    Solution

  • Question 5
    1 / -0.25

    Find the perfect square number between 30 and 40.

    Solution

    Since, 1 x 1 = 1

         2 x 2 = 4

         3 x 3 = 9

         4 x 4 = 16

         5 x 5 = 25

         6 x 6 = 36

         7 x 7 = 49

     

    Thus,36 is a perfact square number between 30 and 40.

  • Question 6
    1 / -0.25

    Which of the following is a perfect square number?

    Solution

  • Question 7
    1 / -0.25

    What is the square root of 0.053361? 

    Solution

    √0.053361
    = √(5.3361 ×10(-2) )
    = √(5.3361) ×√(10(-2) )
    = ±2.31 ×0.1
    = ±0.231

  • Question 8
    1 / -0.25

    What will be the number of zeros in the square of the number 100?

    Solution

  • Question 9
    1 / -0.25

    How many numbers lie between square of 12 and 13

    Solution

    122  = 12*12 = 144

    132  = 13*13 = 169

    Now numbers are between144 and 169 are:

    145, 146, 147,.............168

    Total number =24

    So total numbers lies between  144 and 169 is 24

  • Question 10
    1 / -0.25

    If 5278 is squared, then what will be at unit place?

    Solution

    When squaring the number 5278, the unit digit is determined by the square of the unit digit of the original number.

    Since the unit digit of 5278 is 8, squaring it gives 8 ×8 = 64.

    Therefore, the unit place digit of 5278 ²is 4.
    Therefore correct answer : Option A

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