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Permutations and Combinations Test 24

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Permutations and Combinations Test 24
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  • Question 1
    1 / -0
    Look at this series: $$32, 31, 33, 32, 34, 33,...$$. What is the next number?
    Solution
    The next number is $$35$$.
    Here first $$1$$ is subtracted and then $$2$$ is added, and so on.
  • Question 2
    1 / -0
    Find the value of $$'?'$$ in the series: $$12, 17, 15, ?, 18, 23, 21,....$$
    Solution
    The series alternates the addition of $$5$$ with the subtraction of $$2$$.
    So, the number is $$20$$.
  • Question 3
    1 / -0
    Choose the missing number in the series: $$2, 2, 3, 4, 4,$$__$$, 6, 6, 7, 8, 8, 9....$$
    Solution
    This is a continuous series of adding $$1$$ to the previous number, in which every third number is not repeated.
    So, the missing number is $$5$$.
  • Question 4
    1 / -0
    Find the value of $$'x'$$ in the series: $$144, 169, x, 225, 256, 289$$.
    Solution
    The series is a perfect square in increasing order of $$12, 13, 14, 15...$$
    So, the value of $$x$$ is $$196$$.
  • Question 5
    1 / -0
    Find the missing number in the pattern: $$2, 5, 8, 11,$$ __$$, 17, 20, 23, 26$$
    Solution
    The series adds $$3$$ to each number to get the next number.
    So, the next number is $$11 + 3 = 14$$
  • Question 6
    1 / -0
    Which pair of numbers comes next?
    $$25, 23, 5, 20, 16, 5,....$$
    Solution
    This is an alternating subtraction series with the interpolation of a random number, $$5$$, as every third number.
    In the subtraction series, $$2$$ is subtracted, then $$3$$ then $$4$$, and so on.
    The next pair of numbers are $$11$$ and $$5$$.
  • Question 7
    1 / -0
    Which number comes next?
    $$5, 9, 13, 17, 21, 25, 29,...$$
    Solution
    The series adds $$4$$ to each number to get the next number.
    So, the next number is $$29 + 4 = 33$$
  • Question 8
    1 / -0
    $$2, 3,$$ __$$, 4, 4, 5, 6, 6, 6, 7, 7, 7...$$ What number should fill the blank?
    Solution

  • Question 9
    1 / -0
    Fill in the blank: $$62, 66, 63, 66, 64,$$ __$$, 65,....$$
    Solution
    The series alternates the addition of $$4$$ with the subtraction of $$3$$.
    So, the missing number is $$61$$.
  • Question 10
    1 / -0
    Identify the missing integer: $$9, 45,$$ ____$$, 1125, 5625...$$
    Solution
    This is continuous series multiplied by $$5$$.
    $$9 \times  5 = 45$$
    $$45 \times  5 = 225$$
    $$225 \times  5 = 1,125$$
    $$1,125 \times  5= 5,625.$$
    So, the missing integer is $$225$$.
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