Self Studies

Squares And Squ...

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  • Question 1
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    Find the value of x in .

  • Question 2
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    Find the value of u if u = .

  • Question 3
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    Find the least number which must be added to 9569 to make it a perfect square.

  • Question 4
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    Find the value of x in .

  • Question 5
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    Which of the following numbers is definitely not a perfect square?

  • Question 6
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    A number is multiplied by times itself and then, 98 is added to it. If the final result is 1250, then the number is

  • Question 7
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    Product of two numbers is 2925. If one number is 13 times the other, then find one of the numbers.

  • Question 8
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    The least positive integer with which 771.75 is multiplied to get a perfect square, is

  • Question 9
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    The square of the number '74' when added to the square of the number 'x' gives 9320 as the result. What is the value of 'x'?

  • Question 10
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    The value of is

  • Question 11
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    Boxes A, B and C have candies in the ratio 1 : 2 : 3 and the sum of their squares is 1400. Find how many candies are there in box B.

  • Question 12
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    Directions: Find the value of .

  • Question 13
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    If one of the numbers in the Pythagorean triplet is 35, then which of the following triplets is correct?

  • Question 14
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    Directions: Solve .

  • Question 15
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    Directions: Find the square root of following up to two decimal places.

    I.

    II.

  • Question 16
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    Which of the following is the smallest number that should be subtracted from 549162 in order to make it a perfect square?

  • Question 17
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    A single insect in a cage, on an average, eats feed (in grams) half of what it weighs. If total weight is 0.8 kg, then find the average weight of the insect.

  • Question 18
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    Anamika was arranging cakes in rows to form a perfect square and while she was doing that, 41 cakes were left out. The total number of cakes was 12141. How many cakes were in a row?

  • Question 19
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    A principal wished to arrange his students, who were 1943 in number, in the form of a square and found that there were 7 students left over. How many students were there in each row?

  • Question 20
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    Sonia and Ravi have the same amount of money. If the product of their amounts (in rupees) is 6084, then how much money does Sonia have?

  • Question 21
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    Directions: Find the value of .

  • Question 22
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    Directions: Find the values of A, B, C and D.

    (i) Square root of 123.21 is A.
    (ii) Square root of 655.36 is B.
    (iii) Square root of 4747.21 is C.
    (iv) Square root of 552.25 is D.

  • Question 23
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    Which of the following statements is true?

  • Question 24
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    Directions: Study the statements carefully and choose the correct option.

    Statement 1: If a natural number can be expressed as a sum of successive odd natural numbers starting with 1, then it is a perfect square.
    Statement 2: Each and every square number has even number of factors.

  • Question 25
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    Directions: State T for true or F for false.

    I. The square root of 0.4 is 0.2.
    II. There are 313 natural numbers between 1562 - 1572.
    III. Negative numbers have positive square numbers.
    IV. Sum of first n odd natural numbers is n2.

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