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Indian Navy SSR (Sailor) Number Theory — practice questions — page 3

Explore 71 free Number Theory questions in Indian Navy SSR (Sailor) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Number Theory questions and exercises with answers

Showing questions 61–71 of 71.

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 →Which test applies?Read the answer and worked solution →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 →Key in the number theory answerRead the answer and worked solution →Tap every prime numberRead the answer and worked solution →

Worked practice questions

Two are true, one is not

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Questions
  1. False statement
    Equal slopes means perpendicular
    Statements
    1. Equal slopes means parallel
    2. Slopes multiplying to −1 means perpendicular
    3. Equal slopes means perpendicular
  2. False statement
    Horizontal lines have undefined slope
    Statements
    1. Horizontal lines have undefined slope
    2. Horizontal lines have slope zero
    3. Vertical lines have undefined slope
  3. False statement
    That holds at 90 degrees too
    Statements
    1. Slope equals tan of the angle with the x-axis
    2. That holds at 90 degrees too
    3. That fails at 90 degrees
The false line swaps the parallel and perpendicular tests. Source: syllabus Maths, Ch 9 Straight Lines.

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Three of these are wrong. Find the one that holds.

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Questions
  1. Question
    Three of these statements about slope are false.
    Choices
    1. Item
      A vertical line has undefined slope
      Correct
      Yes
    2. Explanation
      Zero slope belongs to HORIZONTAL lines.
      Item
      A vertical line has slope zero
    3. Explanation
      Its slope is zero, not undefined.
      Item
      A horizontal line has undefined slope
    4. Explanation
      Their slopes multiply to −1.
      Item
      Perpendicular lines share a slope
Each trap inverts one of the tests. Source: syllabus Maths, Ch 9 Straight Lines.

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Which test applies?

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Items
  1. Item
    Are these two lines never going to meet?
    Category
    Parallel test
  2. Item
    Compare the two slopes for equality
    Category
    Parallel test
  3. Item
    Do these lines meet at a right angle?
    Category
    Perpendicular test
  4. Item
    Multiply the slopes and look for −1
    Category
    Perpendicular test
  5. Item
    Do these three points lie on one line?
    Category
    Collinearity test
  6. Item
    Compare slope AB with slope BC
    Category
    Collinearity test
Categories
  1. Item
    Parallel test
  2. Item
    Perpendicular test
  3. Item
    Collinearity test
Choosing the right condition for the question asked. Source: syllabus Maths, Ch 9 Straight Lines.

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