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Playing with Numbers Test - 9

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Playing with Numbers Test - 9
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Weekly Quiz Competition
  • Question 1
    1 / -0
    Which of the following numbers are divisible by $$3$$ ?
    Solution
    A number is divisible by $$3$$, if the sum of its digits is divisible by $$3$$.
    $$\therefore 111 = 1+1+1= 3 $$
    $$3$$ is divisible by $$3$$, so option A is correct.
  • Question 2
    1 / -0
    Which of the following numbers are divisible by $$2$$ ?
    Solution
    Divisibility by 2:
    If the number contains an even number (0, 2, 4, 6, 8) in the units place, 
    then the number is completely divisible by $$2$$.

    All the options given here are even numbers i.e $$76$$ ends with $$6$$ 
    $$84$$ and $$64$$ ends with $$4$$

    So, option D is correct..
  • Question 3
    1 / -0
    A number that has $$0, 2, 4, 6$$ or $$8$$ in its ones place is divisible by ________.
    Solution
    A number that has $$0, 2, 4, 6$$ or $$8$$ in its ones place is divisible by $$2$$.
    Example: 
    $$20$$ is divisible by $$2 = 10$$
    $$22$$ is divisible by $$2 = 11$$
    $$44$$ is divisible by $$2 = 44$$
    $$26$$ is divisible by $$2 = 26$$
    $$18$$ is divisible by $$2 = 9$$

    So, option B is correct.
  • Question 4
    1 / -0
    Which of the following is not divisible by $$10$$ ?
    Solution
    For any number to be divisible by $$10$$, it must have $$0$$ at it's unit place.

    Hence, no given number is divisible by $$10$$ here.
  • Question 5
    1 / -0
    Which of the following number is divisible by $$5 ?$$
    Solution
    A number is divisible by $$5$$ if it contains $$0$$ or $$5$$ in the units place.
    Since only $$65$$ has $$5$$ in the units place, therefore it is divisible by $$5$$.

    So, option B is correct.
  • Question 6
    1 / -0
    Choose the number divisible by $$2$$.
    Solution
    We know the divisibility rule for 22:
    The number which is divisible by $$2$$ always end with either $$0, 2, 4, 6$$ or $$8$$
    $$12,907$$ ends with $$7$$. So, not divisible by $$2$$
    $$12,971$$ ends with $$1$$. So, not divisible by $$2$$
    $$34,987$$ ends with $$7$$. So, not divisible by $$2$$
    But, $$23,484$$ is divisible by $$2$$ because the last digit is $$4$$.
  • Question 7
    1 / -0
    Which of the following number is divisible by $$5$$?
    Solution

    A number is divisible by $$5$$ if the last digit ends with $$0$$ or $$5$$.
    Here, $$890$$ is divisible by $$5$$ because the last digit ends with $$0$$.
    So, option C is correct.
  • Question 8
    1 / -0
    Which of the following number is divisible by $$10$$?
    Solution
    For a number to be divisible by $$10$$ it must end with $$0$$ this is the We know the divisibility rule for $$10.$$

    Hence, option $$D$$ is correct.
  • Question 9
    1 / -0
    If a number ends with $$0$$ or $$5$$, then the number is divisible by __.
    Solution
    If the last digit of a number ends with $$0$$ or $$5$$, then the number is divisible by $$5$$.
    Example: $$120$$ is divisible by $$5$$.
    $$255$$ is divisible by $$5$$.
    So, option D is correct.
  • Question 10
    1 / -0
    Check the numbers which are not divisible by $$2$$.
    Solution
    We know the divisibility rule for $$2$$:
    Always check the last digit end with $$0, 2, 4, 6$$ or $$8$$.
    Here, $$341$$ is not divisible by $$2$$ because the last digit is end with $$1$$.
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