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FCI Manager Number Series — practice questions — page 4

Explore 104 free Number Series questions in FCI Manager Reasoning. Open each question or exercise to read its content, reference answers and available explanation.

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Number Series questions and exercises with answers

Showing questions 91–104 of 104.

Spotting the ruleRead the answer and worked solution →Constant difference, or constant ratio?Read the answer and worked solution →Order the steps: crack a number seriesRead the answer and worked solution →True or false: geometric progressionsRead the answer and worked solution →Finding a termRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Tap every sequence with a constant ratioRead the answer and worked solution →Flip and pair: term with meaningRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Finite or infinite?Read the answer and worked solution →Complete the geometric meanRead the answer and worked solution →True or false: reading a series questionRead the answer and worked solution →

Worked practice questions

Spotting the rule

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Questions
  1. Question
    2, 6, 18, 54 — each term is the previous one
    Choices
    1. times 3
    2. plus 4
    3. squared
    Correct choice
    times 3
  2. Question
    That makes it a
    Choices
    1. arithmetic progression
    2. geometric progression
    3. random list
    Correct choice
    geometric progression
  3. Question
    Its common ratio is
    Choices
    1. 4
    2. 2
    3. 3
    Correct choice
    3
  4. Question
    The next term after 54 is
    Choices
    1. 162
    2. 108
    3. 58
    Correct choice
    162
Number-series items are solved by naming the rule linking neighbours. Source: syllabus Maths, Ch 9 Sequences and Series.

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Constant difference, or constant ratio?

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Items
  1. Item
    3, 7, 11, 15
    Category
    Constant difference
  2. Item
    Each term adds a fixed amount
    Category
    Constant difference
  3. Item
    5, 10, 15, 20
    Category
    Constant difference
  4. Item
    2, 6, 18, 54
    Category
    Constant ratio
  5. Item
    Each term multiplies by a fixed amount
    Category
    Constant ratio
  6. Item
    3, 9, 27, 81
    Category
    Constant ratio
Categories
  1. Item
    Constant difference
  2. Item
    Constant ratio
Adding the same amount each time is one pattern multiplying by the same amount is another. Telling them apart is the first move. Source: syllabus Maths, Ch 9 Sequences and Series.

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Order the steps: crack a number series

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Steps
  1. Write the terms out in order
  2. Take the difference between each pair of neighbours
  3. If those differences are constant, the rule is addition
  4. If not, divide each term by the one before it
  5. If those ratios are constant, the rule is multiplication
  6. Apply the rule once more to get the next term
Difference first, ratio second, then extend. Source: syllabus Maths, Ch 9 Sequences and Series.

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More Reasoning topics

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