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Playing with Numbers Test - 10

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Playing with Numbers Test - 10
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  • Question 1
    1 / -0
    If the number is divisible by $$5$$, then its last digit will be 
    Solution
    According to the divisibility test of $$5$$ if a number is divisible by $$5$$ then its unit's place digit will be $$0$$ or $$5.$$

    Hence, option $$D$$ is correct.
  • Question 2
    1 / -0
    Among the following options, the largest number exactly divisible by $$5$$?
    Solution
    We know the divisibility rule for $$5$$: The last two digits ends with $$0$$ or $$5$$.
    Here, all the numbers are divisible by $$5$$ as the last digits are $$0, 5$$.
    But, $$95$$ is the correct answer, as it is divisible by $$5$$ and is the largest number.
    So, option C is correct.
  • Question 3
    1 / -0
    Among the following numbers, find the number which is divisible by $$10$$.
    Solution
    We know the divisibility rule for $$10$$ : The last digit must end with $$0$$.
    Here, $$570$$ is divisible by $$10$$, since the last digit ends with $$0$$.
    So, option C is correct.
  • Question 4
    1 / -0
    Among the following numbers, find the number which is divisible by $$10$$.
    Solution
    We know the divisibility rule for $$10$$: The last digit is $$0$$
    Here, $$120$$ is divisible by $$10$$.
    Since the last digit is $$0$$.
    So, option B is correct.
  • Question 5
    1 / -0
    Express the number into general form: $$753$$
    Solution
    The general form of any three digit number is, $$abc = a \times 100 + b \times 10 + c$$
    So, $$753 = 7 \times 100 + 5 \times 10 + 3$$
    So, option C is correct.
  • Question 6
    1 / -0
    Express the number in expanded form: $$68$$
    Solution
    The general form of any two digit number will be, $$ab = a \times 10 + b$$
    So, $$68 = 6 \times 10 + 8$$
    So, option A is correct.
  • Question 7
    1 / -0
    Expanded form of $$640$$ is 
    Solution
    The general form of any three digit number is, $$abc = a \times 100 + b \times 10 + c$$
    So, $$640 =6 \times 100 + 4 \times 10 + 0$$ 
    So, option A is correct.
  • Question 8
    1 / -0
    Write the number whose expanded form is as given: 
    $$3 \times 100 + 3 \times 10 + 3$$.
    Solution
    The general form of any three digit number is, $$abc = a \times 100 + b \times 10 + c$$
    Here, $$ 3 \times  100 + 3 \times  10 + 3 =300+30+3 = 333 $$
    So, option B is correct.
  • Question 9
    1 / -0
    Find the number in general form: $$875$$
    Solution
    The general form of any three digits numbers is, $$abc = a \times 100 + b \times 10 + c$$
    So, $$875 = 8 \times 100 + 7 \times 10 + 5$$
    So, option B is correct.
  • Question 10
    1 / -0
    If the sum of the digits of a number is divisible by $$3$$, then the number is also divisible by __.
    Solution
    If the sum of the digits of a number is divisible by $$3$$, then the number is also divisible by $$3$$.
    Example: $$372$$
    Sum of the digits $$= 3 + 7 + 2 = 12,$$ which is divisible by $$3$$.
    The number, $$372$$ is also divisible by $$3$$.
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