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XAT Sequences and Series — practice questions — page 3

Explore 71 free Sequences and Series questions in XAT Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Sequences and Series questions and exercises with answers

Showing questions 61–71 of 71.

Flip and pair: condition with conclusionRead the answer and worked solution →Tap every statement true of slopeRead the answer and worked solution →Reading the definitions backRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Complete the angle between two linesRead the answer and worked solution →True or false: using coordinatesRead the answer and worked solution →Arithmetic or geometricRead the answer and worked solution →Which ones belongRead the answer and worked solution →Sequence or seriesRead the answer and worked solution →Which is largerRead the answer and worked solution →Complete the definitionsRead the answer and worked solution →

Worked practice questions

Flip and pair: condition with conclusion

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Matching pairs
  1. A
    Equal slopes
    B
    parallel
  2. A
    Slopes multiply to −1
    B
    perpendicular
  3. A
    Slope AB = slope BC
    B
    collinear
  4. A
    Slope zero
    B
    horizontal line
  5. A
    Slope undefined
    B
    vertical line
The chapter's four tests. Source: syllabus Maths, Ch 9 Straight Lines.

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Tap every statement true of slope

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Questions
  1. Items
    1. Text
      It is a ratio of differences
      Matches the category
      Yes
    2. Text
      It equals tan of the angle with the x-axis
      Matches the category
      Yes
    3. Text
      It is undefined for a vertical line
      Matches the category
      Yes
    4. Text
      It is undefined for a horizontal line
      Matches the category
      No
    5. Text
      It is always positive
      Matches the category
      No
    Category
    True of SLOPE
What slope is and where it fails. Source: syllabus Maths, Ch 9 Straight Lines.

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Reading the definitions back

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Questions
  1. Question
    Slope of a horizontal line
    Choices
    1. undefined
    2. one
    3. zero
    Correct choice
    zero
  2. Question
    Slope of a vertical line
    Choices
    1. undefined
    2. zero
    3. infinite and defined
    Correct choice
    undefined
  3. Question
    If a line makes angle α with the x-axis, its slope is
    Choices
    1. sin α
    2. tan α
    3. cos α
    Correct choice
    tan α
  4. Question
    Three points are collinear when
    Choices
    1. slopes multiply to −1
    2. slopes differ
    3. slope AB = slope BC
    Correct choice
    slope AB = slope BC
Straight recall of the summary bullets. Source: syllabus Maths, Ch 9 Straight Lines.

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