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Indian Navy SSR (Sailor) Permcomb — practice questions — page 2

Explore 52 free Permcomb 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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Permcomb questions and exercises with answers

Showing questions 31–52 of 52.

True or false: the Historical NoteRead the answer and worked solution →Sort each statement by which idea it describesRead the answer and worked solution →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 →

Worked practice questions

True or false: the Historical Note

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Questions
  1. Statement is true
    Yes
    Statement
    Pascal and Fermat corresponded about a gambler's problem.
  2. Statement is true
    Yes
    Statement
    Huygens published an early book on probability.
  3. Statement is true
    Yes
    Statement
    Kolmogorov gave probability its axiomatic foundation.
  4. Statement is true
    No
    Statement
    Galileo showed a sum of 9 is likelier than 10 with three dice.
  5. Statement is true
    Yes
    Statement
    Ars Conjectandi was published posthumously.
Straight from the closing note. Source: syllabus Maths Part II, Ch 13 Probability.

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Sort each statement by which idea it describes

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Items
  1. Item
    P(E ∩ F) ÷ P(F)
    Category
    Conditional probability
  2. Item
    Needs P(F) ≠ 0
    Category
    Conditional probability
  3. Item
    P(E|F) = P(E)
    Category
    Independence
  4. Item
    P(E ∩ F) = P(E)P(F)
    Category
    Independence
  5. Item
    Pairwise disjoint events
    Category
    Partition
  6. Item
    Their union is the whole sample space
    Category
    Partition
Categories
  1. Item
    Conditional probability
  2. Item
    Independence
  3. Item
    Partition
Three ideas that share notation and are constantly swapped. Source: syllabus Maths Part II, Ch 13 Probability.

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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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