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Playing with Numbers Test - 14

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Playing with Numbers Test - 14
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Weekly Quiz Competition
  • Question 1
    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 2
    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 3
    1 / -0
    Which of these numbers are 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, $$3,052$$ is divisible by $$2$$ because the last digit ends with $$2$$.

    So, option D is correct.
  • Question 4
    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 $$1$$.
  • Question 5
    1 / -0
    If the last two digits of a number is $$00$$, then it is exactly divisible by _____.
    Solution
    If the last two digits of a number is $$00$$ then it is exactly divisible by $$4$$.
    This is the divisibility rule for $$4$$.
    So, option D is correct.
  • Question 6
    1 / -0
    If two numbers are relatively prime or co- prime, then their HCF is ...............
    Solution
    Co-prime numbers are a set of numbers or integers which have only $$1$$ as their common factor i.e., their (HCF) is $$1$$.
    The factors of prime number is $$1$$ and number itself, so HCF of such numbers is $$1$$.
    Hence, option C is correct.
  • Question 7
    1 / -0
    If the last two digits of a number is divisible by $$4$$, the number is also divisible by ____.
    Solution
    If the last two digits of a number is divisible by $$4$$, the number is also divisible by $$4$$
    Example: $$112$$ is divisible by $$4$$, since the last $$2$$ digits are a multiple of $$4$$.
    So, option A is correct.
  • Question 8
    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 9
    1 / -0
    Which of the following numbers are divisible by $$4$$?
    Solution
    We know the divisibility rule for $$4$$:
    Check the last two digits are a multiple of $$4$$ or if the last two digits are $$00$$.
    Here, $$412$$ is divisible by $$4$$ because the last two digits are a multiple of $$4$$.
    So, option B is correct.
  • Question 10
    1 / -0
    The number $$2,364$$ is divisible by _____.
    Solution
    We know the divisibility rule for $$4$$:
    Check the last two digits are a multiple of $$4$$ or if the last two digits are $$00$$.
    Here, $$2,364$$ is divisible by $$4$$ because the last two digits are a multiple of $$4$$.
    So, option C is correct.
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