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Integers Test -...

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  • Question 1
    1 / -0

    Directions: The following number line shows temperature in degree Celsius (℃) at different places on a particular day:



    What is the difference between temperatures of the hottest and the coldest place?

  • Question 2
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    Directions: The following number line shows temperature in degree Celsius (0C) at different places on a particular day:




    What is the temperature difference between Munsiari and Sikkim?

  • Question 3
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    Find the value of:


  • Question 4
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    Find A, B, C and D.

    (a) The sum of two integers is 185; if one of them is 99, then the other will be ____A____.
    (b) The product of an integer and ____B____ is 0.
    (c) ____C____ is the quotient when an integer is divided by itself.
    (d) Additive inverse of -9 is____D____.

    A B C D
    1 86 0 1 9
    2 76 1 2 9
    3 46 1 1 9
    4 78 0 3 9

  • Question 5
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    State which of the following statements is true .

    (i) Every irrational number is a real number.
    (ii) Every point on the number line is of the form , where m is a natural number.
    (iii) Every real number is an irrational number.
    (iv) Square roots of all positive integers are irrational.

  • Question 6
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    Which of the following options best describes the problem shown on the given number line?

  • Question 7
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    The value of (-8) x (-7) x (-6) x (-5) x (-4) x 0 + 0 x (4) x (5) x (6) x (7) x (8) is:

  • Question 8
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    Directions: Read the following statements and choose the correct option accordingly.

    Statement 1: A perfect number is a positive integer that is equal to the sum of its proper positive factors, that is, the sum of its positive factors excluding the number itself.

    Statement 2: 6 and 28 are perfect numbers.

    (a) Statement 1 is true, but statement 2 is false.

    (b) Statement 1 is false, but statement 2 is true.

    (c) Both the statements are true.

    (d) Both the statements are false.

  • Question 9
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    In a magic square, each row, column and diagonal has the same sum. The values of A and B respectively are




  • Question 10
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    Which of the following statements is CORRECT?

    (A) All integers are whole numbers and all natural numbers are integers.
    (B) All whole numbers are integers and all integers are natural numbers.
    (C) All natural numbers are whole numbers and all whole numbers are integers.
    (D) All integers are whole numbers and all integers are natural numbers.

  • Question 11
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    The value of X in - 20 x (4 + (-2)) = -20 x 4 + (-20) x X, is

  • Question 12
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    What will be the sign of the product if we together multiply 198 negative integers and 9 positive integers?

  • Question 13
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    Simplify 333 - [ (51 + (65 - (8 + 9))) + 110]

  • Question 14
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    Which pair of numbers does not have a product equal to 72?

  • Question 15
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    Which of the following lists of integers is in descending order?

  • Question 16
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    Which of the following lines represents -3 - 4?


  • Question 17
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    Find the value of the given expression.

    (-62) - (21) + 36 - 25 - (-102) + 31+ (-21)

  • Question 18
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    The absolute value of -25 + 16 + 31 - 53 is

  • Question 19
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    If m and n are integers such that m ≠ n, then which of the following is CORRECT?

  • Question 20
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    In an exam, 6 marks are given for every correct and -3 marks are given for every incorrect answer. Jatin scored 33 though he got only 10 answers correct and Vinay got 6 marks though he got 9 answers correct. How many questions did each answer incorrectly?

  • Question 21
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    A person writes some integers on a notebook randomly. The numbers were -15, 6, -11, -16, 10, 9, and 18. What is the total of the numbers?

  • Question 22
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    Raj travels 75 km towards north from a point X to a point Y. From point Y, he travels 67 km towards south. If the distance travelled towards south is represented in negative integers, then how will you represent the distance travelled towards north? By which integer will you represent his final distance (in km) from X?




  • Question 23
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    Labourers are cementing a well at the rate of 9 m per hour. If they start from 2.5 m above the ground level, then how long will it take for them to reach 65 m below the ground?

  • Question 24
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    In Manali, on a particular day, the temperature is reducing by 2°C every hour. If the temperature at 5 p.m. was 24°C, then what will be the temperature at 11 p.m.?

  • Question 25
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    Radhika earns a profit of Rs.10 for every bouquet she sells, but suffers a loss of Rs. 3 if she sells only one flower. She cannot sell only bouquets as she has to sell single flowers as well, according to the demand of the customers.

    (i) If she gets an order to supply 500 bouquets and 3000 single flowers, what is the profit or loss she will make from this order?
    (ii) If the next order she gets is of 7200 single flowers, then how many bouquets should she sell to make neither profit nor loss?

    (i) (ii)
    A Profit of Rs. 4000 2160
    B Loss of Rs. 4000 2160
    C Profit of Rs. 4500 2963
    D Loss of Rs. 4500 2963

  • Question 26
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    The number line shows different temperatures noted in a city at different times.

    (i) The temperature difference between early morning and late night is P.
    (ii) The temperature difference at 11 a.m and 11 p.m. is Q.
    (iii) The difference of temperature in the evening and early morning is R.

    Find the values of P, Q, and R.

    P Q R
    A 14 10 7
    B 4 10 8
    C -14 -10 -7
    D -4 -10 -8

  • Question 27
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    Match the following.

    (1) a × b (a) positive
    (2) Any two negative numbers multiplied together give the result in (b) negative
    (3) Distributive Property (c) b × a
    (4) -5 multiplied three times by itself will give the result in (d) (a + b) + c = a + (b + c)

  • Question 28
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    State T for true and F for false.

    (i) The product of even number of negative integers is always positive.
    (ii) To balance the equation same number should be multiplied to both the sides.
    (iii) For any three integers p, q, and r
    (p + q) + r = p + (q + r).
    (iv) The addition and subtraction can be shown on the number line.


    i ii iii iv
    A T F F T
    B T F T F
    C F T T T
    D T T T T

  • Question 29
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    Fill in the blanks with >, < or =

    (i) 11 x (-5) + 24 ÷ 6 _____ 22 ÷ 2 + 5 x (-3)
    (ii) 25 x 3 - 2 x 15 _____ 12 x 3 - 27 ÷ 3
    (iii) (78 ÷ 3) x 5 x 0 ______ 12 x 0 x 3 x 6

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