Self Studies

Squares And Squ...

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  • Question 1
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    Find the value of x in the given equation.


  • Question 2
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    What is the simplified form of ?

  • Question 3
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    = x, then the value of x is

  • Question 4
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    If , then x is equal to

  • Question 5
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    Which among the following can definitely not be a square number?

  • Question 6
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    A Google employee's age is multiplies by times itself and then 10 is subtracted from the product obtained. If the final result is 4490, then the age is________.

  • Question 7
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    The product of two numbers is 4,55,625. If one number is 9 times the other, find the numbers.

  • Question 8
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    What is the smallest number by which 7776 must be divided to get a perfect square?

  • Question 9
    1 / -0

    What is the square root of 10.24?

  • Question 10
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    What is the value of 1002 - 992 by observing the given pattern?

    22 - 12 = 2 + 1
    32 - 22 = 3 + 2

  • Question 11
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    The ratio of the marks of four students is 2 : 3 : 5 : 6, such that the sum of their squares is 10,656. Find the marks of the four students, respectively.

  • Question 12
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    The value ofis ______.

  • Question 13
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    What do we need to subtract from 99,999 to make it a perfect square?

  • Question 14
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    Find the value of .

  • Question 15
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    Find the respective square roots of the following numbers up to two decimal places:

    2.8 and 3.6

  • Question 16
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    What will be the length of a square field if its area is given as ?

  • Question 17
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    The total fee of all students in a hostel is Rs. 48,672. Each student's fee is one half of the number of students. What is the total number of students in the hostel?

  • Question 18
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    In a school assembly, the students are arranged in rows to form a perfect square; but in doing so, 25 students are left out. If the total number students is 1181, find the number of students in each row.

  • Question 19
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    A trust collects as many paise from each member of the trust as the number of members. If the total collection is Rs. 29.16, then what is the number of members in the trust?

  • Question 20
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    A charitable trust wants to fence a square plot whose area is given as 6448.09 sq. m. What is the side of the plot?

  • Question 21
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    Find the value of .

  • Question 22
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    Find the values of P, Q, R and S.

    i) The square root of 1002001 is P .
    ii) The square root of 2450.25 is Q .
    iii) The square root of 8445.61 is R .
    iv) The square of 58 is S .

  • Question 23
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    Which of the following statements is/are true?

  • Question 24
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    Consider the following statements and mark the correct option accordingly.

    Statement I: The unit digit of the square of a natural number is the unit digit of the square of the digit at the ones place of the given natural number.
    Statement II: The square of a number n is equal to the sum of first n odd natural numbers.

  • Question 25
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    State true (T) or false (F) for the following statements.

    i) If a number has 3 or 7 at the ones place, then its square ends in 9.
    ii) 33.52 lies between 500 and 1000.
    iii) If a number has 5 at the ones place, then its square ends in 5.
    iv) The area of a square, whose side is 8 cm, is 64 cm2.

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