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Indian Navy MR Sequences and Series — practice questions — page 2

Explore 78 free Sequences and Series questions in Indian Navy MR 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 31–60 of 78.

Trace how trigonometry travelledRead the answer and worked solution →True or false: the historical noteRead the answer and worked solution →Complete the definition of conditional probabilityRead the answer and worked solution →True or false: conditional probabilityRead the answer and worked solution →Independent or mutually exclusive?Read the answer and worked solution →Match each rule to its nameRead the answer and worked solution →IndependenceRead the answer and worked solution →Order the steps for a Bayes' theorem questionRead the answer and worked solution →Complete the conditions for a partitionRead the answer and worked solution →True or false: independence versus exclusivityRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Tap every statement that follows from independenceRead the answer and worked solution →The multiplication ruleRead the answer and worked solution →Spot the one that does not belongRead 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 →Complete the theorem of total probabilityRead the answer and worked solution →Which theorem answers which question?Read the answer and worked solution →True or false: total probability and BayesRead the answer and worked solution →Match each historical figure to their contributionRead the answer and worked solution →The Historical NoteRead the answer and worked solution →Flip and pair: notation with meaningRead the answer and worked solution →Order the reasoning: from a partition to a posteriorRead the answer and worked solution →Tap every quantity that is a probabilityRead the answer and worked solution →Spot the odd one outRead the answer and worked solution →Assertion and reason: the multiplication ruleRead the answer and worked solution →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 →

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 conditional probability

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Missing parts
  1. Answer
    P(F)
    Choices
    1. P(F)
    2. P(E)
    3. P(E ∪ F)
  2. Answer
    not zero
    Choices
    1. not zero
    2. equal to 1
    3. less than P(E)
  3. Answer
    0 and 1
    Choices
    1. 0 and 1
    2. −1 and 1
    3. 0 and P(F)
Complete the statement
P(E|F) is defined as P(E ∩ F) divided by {0}, and it is only defined when P(F) is {1}. Its value always lies between {2}.
The definition the whole chapter is built on, including the condition that makes it meaningful. Source: syllabus Maths Part II, Ch 13 Probability.

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