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Indian Coast Guard Yantrik Probability & Statistics — practice questions

Explore 37 free Probability & Statistics questions in Indian Coast Guard Yantrik Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Probability & Statistics questions and exercises with answers

Showing questions 1–30 of 37.

Complete the arc length relationRead the answer and worked solution →Match each identity to its nameRead the answer and worked solution →The Pythagorean identitiesRead the answer and worked solution →Odd function or even function?Read the answer and worked solution →Complete the degree and radian conversionRead the answer and worked solution →True or false: identities and parityRead the answer and worked solution →Match each sum or difference formula to its resultRead the answer and worked solution →Signs in the expansionRead the answer and worked solution →Which formula does this belong to?Read the answer and worked solution →True or false: periodicityRead the answer and worked solution →Complete the complementary angle rulesRead 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 →Order the steps: convert degrees to radiansRead the answer and worked solution →Flip and pair: identity with its valueRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Tap every correct identityRead the answer and worked solution →Radians and degreesRead the answer and worked solution →True or false: reading the identitiesRead 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 →

Worked practice questions

Complete the arc length relation

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Missing parts
  1. Answer
    rθ
    Choices
    1. rθ
    2. r/θ
    3. θ/r
Complete the statement
In a circle of radius r, an arc of length l subtends an angle of θ radians, and these are related by l = {0}.
The definition of radian measure, from the first summary bullet. Source: syllabus Maths, Ch 3 Trigonometric Functions.

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Match each identity to its name

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Matching pairs
  1. Left
    cos²x + sin²x
    Right
    = 1
  2. Left
    1 + tan²x
    Right
    = sec²x
  3. Left
    1 + cot²x
    Right
    = cosec²x
  4. Left
    l = rθ
    Right
    arc length from radius and angle
The three Pythagorean identities the chapter lists. Source: syllabus Maths, Ch 3 Trigonometric Functions.

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The Pythagorean identities

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Questions
  1. Question
    cos²x + sin²x equals
    Choices
    1. 0
    2. 1
    3. 2
    Correct choice
    1
  2. Question
    1 + tan²x equals
    Choices
    1. cosec²x
    2. cot²x
    3. sec²x
    Correct choice
    sec²x
  3. Question
    1 + cot²x equals
    Choices
    1. cosec²x
    2. sec²x
    3. tan²x
    Correct choice
    cosec²x
  4. Question
    Which identity involves cosec?
    Choices
    1. 1 + tan²x
    2. 1 + cot²x
    3. cos²x + sin²x
    Correct choice
    1 + cot²x
Straight recall of the three. Source: syllabus Maths, Ch 3 Trigonometric Functions.

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