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Indian Navy INET Sequences and Series — practice questions

Explore 75 free Sequences and Series questions in Indian Navy INET 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 1–30 of 75.

The arithmetic mean and geometric mean of two positive numbers are 10 and 8 respectively. The numbers are:Read the answer and worked solution →If the sum of two positive numbers is 6 times their geometric mean, the numbers are in the ratio:Read the answer and worked solution →If $P(A)=0.3$, $P(B)=0.4$ and A, B are mutually exclusive, then $P(A\cup B)$ is:Read the answer and worked solution →The midpoint of the segment joining $(2,3)$ and $(4,7)$ is:Read the answer and worked solution →What are the coordinates of the origin?Read the answer and worked solution →Are the points A(1, 1), B(2, 3), C(3, 5) collinear?Read the answer and worked solution →Sort each inverse function into its domainRead the answer and worked solution →Tap every function whose domain is [−1, 1]Read the answer and worked solution →Match each inverse function to its domainRead the answer and worked solution →Match each inverse function to its principal value branchRead the answer and worked solution →Flip and pair: function with its principal rangeRead the answer and worked solution →Which principal ranges sit around zero, and which run 0 to π?Read the answer and worked solution →Tap every function whose principal range has a point removedRead the answer and worked solution →Name the principal value branchRead the answer and worked solution →Domain checkRead the answer and worked solution →Put the reasoning in order: why an inverse needs a restricted domainRead the answer and worked solution →True or false: existence of inversesRead the answer and worked solution →True or false: reading the tableRead 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 →Assertion and reasonRead the answer and worked solution →Complete the summary tableRead the answer and worked solution →Complete the rule about restricting a domainRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Principal values worked in the chapterRead the answer and worked solution →Order the steps for finding a principal valueRead the answer and worked solution →True or false: principal valuesRead the answer and worked solution →Match each identity to the condition it needsRead the answer and worked solution →Assertion and reason: identitiesRead the answer and worked solution →Match each mathematician to the year your syllabus givesRead the answer and worked solution →

Worked practice questions

The arithmetic mean and geometric mean of two positive numbers are 10 and 8 respectively. The numbers are:

  1. 10 and 8
  2. 16 and 4
  3. 12 and 8
  4. 18 and 2
Show answer and solution

Correct answer: B. 16 and 4

a+b = 2·A.M. = 20 and ab = (G.M.)² = 64. The numbers are roots of x²−20x+64=0 ⟹ 16 and 4.

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If the sum of two positive numbers is 6 times their geometric mean, the numbers are in the ratio:

  1. $(3+2\sqrt2):(3-2\sqrt2)$
  2. $(2+\sqrt3):(2-\sqrt3)$
  3. $2:1$
  4. $3:1$
Show answer and solution

Correct answer: A. $(3+2\sqrt2):(3-2\sqrt2)$

If a+b = 6√(ab), then (a+b)² = 36ab ⟹ a/b solves the resulting quadratic, giving a:b = (3+2√2):(3−2√2).

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If $P(A)=0.3$, $P(B)=0.4$ and A, B are mutually exclusive, then $P(A\cup B)$ is:

  1. 0.12
  2. 0.1
  3. 1.0
  4. 0.7
Show answer and solution

Correct answer: D. 0.7

For mutually exclusive events, P(A∪B) = P(A)+P(B) = 0.3+0.4 = 0.7.

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More Mathematics topics

Probability & StatisticsBinomial TheoremGeometrySequencesVectors & 3D GeometryPermutations and CombinationsLinear ProgrammingLimits and Continuity