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Integers Test - 29

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Integers Test - 29
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Weekly Quiz Competition
  • Question 1
    1 / -0
    Simplify: $$(-4)\times 63 = x \times 21$$.
    Find the value of $$x$$.
    Solution
    $$X=\dfrac{(-4)\times63}{21}=-12$$
  • Question 2
    1 / -0
    Simplify the following :-
    $$(-441)\div(21)$$=?
    Solution
    $$\dfrac{-441}{21}=-21$$
    Hence option $$B$$ is correct.
  • Question 3
    1 / -0
    $$-32\times x= 160$$, $$-23\times y= -115$$
    What is the value of $$x\div y$$?
    Solution
    Given, $$-32\times x=160, -23\times y=-115$$
    We have $$x=\dfrac{160}{-32}$$

    and $$ y=\dfrac{-115}{-23}=\dfrac{115}{23}$$

    Thus $$\dfrac{x}{y}=\dfrac{160\times 23}{-32\times 115}=-\dfrac{32\times23}{32\times 23}=-1$$
  • Question 4
    1 / -0
    What is the value of $$x$$ in the following equation?
    $$-319\div  x =-11$$.
    Solution
    We need to find $$x$$ in $$-319\div x=-11$$
    $$\dfrac{-319}{x}=-11\\ \Rightarrow x=\dfrac{-319}{-11}=29$$
  • Question 5
    1 / -0
    Simplify the following :-
    $$\dfrac{39\times(-42)}{(-13)}$$= ?
    Solution
    Lets simplift $$\dfrac{39\times (-42)}{-13}$$ as 
    $$=\dfrac{3\times (-42)}{-1}$$
    $$=126$$
  • Question 6
    1 / -0
    Compare and put the appropriate sign.
    $$-219\;\square 212$$..
    Solution
    A positive number is always greater than a negative number.
    Thus $$-219<212$$.
  • Question 7
    1 / -0
    Compare and put the appropriate sign in the box.
    $$-210\;\square-211$$.
    Solution
    $$210<211\\ \Rightarrow -210>-211$$ put the negative sign both side, < sign will change to > sign.
  • Question 8
    1 / -0
    ___________ is a bigger number than any negative integers and smaller number than any positive integers.
    Solution
    Zero is a bigger number than any negative integers and smaller number than any positive integers.
  • Question 9
    1 / -0
    Compare and choose the appropriate sign.
    $$43,29,52,280$$  $$ \Box$$   $$43,29,25,280$$
    Solution
    Start comparing with the numbers having greatest place value (from left) till you get an inequality.
    $$4=4$$
    $$3=3$$
    $$2=2$$
    $$9=9$$
    $$5>2$$
    As left value is greater than right  value,
    the number on the left is greater.
    $$\therefore$$ $$43,29,52,280> 43,29,25,280$$
    Hence correct answer is option A.
  • Question 10
    1 / -0
    What will be the sign of the product if we together multiply $$199$$ negative integers and $$10$$ positive integers?
    Solution
    Multiplication of $$2$$ negative integer result into positive integer.
     
    If we multiply $$199$$ negative integer, then the result will be negative integer

    Now if we multiply $$10$$ positive numbers with $$199$$ negative integers 

    we will get a negative integer because multiplication of negative and positive 
    integer will always result in negative integer.

    Hence option A is correct.
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