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MAT Number Series, Coding and Decoding and Odd Man Out — practice questions — page 2

Explore 41 free Number Series, Coding and Decoding and Odd Man Out questions in MAT Reasoning. Open each question or exercise to read its content, reference answers and available explanation.

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Number Series, Coding and Decoding and Odd Man Out questions and exercises with answers

Showing questions 31–41 of 41.

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

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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Finding a term

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Questions
  1. Question
    A GP starts at 3 with common ratio 2. Its third term is
    Choices
    1. 6
    2. 12
    3. 8
    Correct choice
    12
  2. Question
    Its fourth term is
    Choices
    1. 18
    2. 16
    3. 24
    Correct choice
    24
  3. Question
    A sequence 5, 10, 20, 40 has common ratio
    Choices
    1. 2
    2. 5
    3. 10
    Correct choice
    2
  4. Question
    The term after 40 is
    Choices
    1. 60
    2. 80
    3. 45
    Correct choice
    80
Once the rule is named, extending is mechanical. Source: syllabus Maths, Ch 9 Sequences and Series.

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Assertion and reason

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Questions
  1. Reason
    Constant differences are the commoner pattern and are quicker to spot.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    Checking differences before ratios saves time on a series item.
  2. Reason
    It is defined as an arrangement in definite order according to a rule.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    A sequence must follow some rule.
  3. Reason
    A sequence arranges numbers in a definite order.
    Verdict
    The assertion is false and the reason is true.
    Assertion
    A series is just another name for a sequence.
The reason must genuinely explain the assertion. Source: syllabus Maths, Ch 9 Sequences and Series.

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