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IPMAT Rohtak Number Series — practice questions — page 2

Explore 43 free Number Series questions in IPMAT Rohtak 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 31–43 of 43.

Worked practice questions

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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True or false: geometric progressions

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Questions
  1. Statement is true
    Yes
    Statement
    In a GP the ratio of consecutive terms is constant.
  2. Statement is true
    No
    Statement
    In a GP the difference of consecutive terms is constant.
  3. Statement is true
    Yes
    Statement
    The constant ratio in a GP is called the common ratio.
  4. Statement is true
    Yes
    Statement
    The nth term of a GP is a times r to the power n minus one.
  5. Statement is true
    Yes
    Statement
    A GP's first term is usually written a.
The GP definitions, stated straight or bent. Source: syllabus Maths, Ch 9 Sequences and Series.

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