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Indian Navy Pilot Number Theory — practice questions — page 2

Explore 49 free Number Theory questions in Indian Navy Pilot 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 31–49 of 49.

Trace how trigonometry travelledRead the answer and worked solution →True or false: the historical noteRead the answer and worked solution →Complete the definition of slopeRead the answer and worked solution →True or false: slopeRead the answer and worked solution →Zero slope, undefined slope, or neither?Read the answer and worked solution →Match each condition to what it tells youRead the answer and worked solution →Parallel, perpendicular, or neither?Read the answer and worked solution →True or false: parallel and perpendicularRead the answer and worked solution →Order the steps: test three points for collinearityRead 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 →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 →

Worked practice questions

Trace how trigonometry travelled

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Steps
  1. The study of trigonometry begins in India
  2. Indian results pass to Arabia
  3. From Arabia the knowledge reaches Europe
  4. The Indian approach is adopted worldwide
syllabus records that the study of trigonometry began in India, passed to Arabia, and reached Europe from there. Source: syllabus Maths Part I, Ch 2 Inverse Trigonometric Functions.

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True or false: the historical note

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Questions
  1. Statement is true
    Yes
    Statement
    The study of trigonometry was first started in India.
  2. Statement is true
    Yes
    Statement
    The sine function reached mathematics through the siddhantas.
  3. Statement is true
    Yes
    Statement
    Trigonometry passed from India to Arabia and then to Europe.
  4. Statement is true
    No
    Statement
    The Greeks never studied trigonometry at all.
  5. Statement is true
    Yes
    Statement
    sin⁻¹ is also called the arc sine function.
Straight from the Historical Note. Source: syllabus Maths Part I, Ch 2 Inverse Trigonometric Functions.

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Complete the definition of slope

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Missing parts
  1. Answer
    y
    Choices
    1. y
    2. x
    3. angle
  2. Answer
    x
    Choices
    1. x
    2. y
    3. slope
Complete the statement
The slope of a non-vertical line through (x₁,y₁) and (x₂,y₂) is the difference in {0} divided by the difference in {1}.
Slope is a ratio of differences, and it needs the line to be non-vertical. Source: syllabus Maths, Ch 9 Straight Lines.

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