Family Relationships Quiz
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Questions and Answers

If L is the number of ways in which books are distributed between two students X and Y, what is the relation between L, M, and N?

  • L = M = N
  • L = 2M = 2N
  • 2L = M = 2N
  • L = M = 2N (correct)
  • What is the value of |adj (adj A)|, if A is a square matrix of order 3 such that the transpose of the inverse of A is A itself?

  • 9
  • 1 (correct)
  • 4
  • 27
  • What is the nature of the solution for the equations 2x + 3y = 7 and 14x + 21y = 49?

  • Infinitely many solutions
  • Finitely many solutions
  • No solution
  • A unique solution (correct)
  • What is the locus of the point of intersection of the normal at P and Q, if P Q is a variable chord of the parabola y^2 = 4ax?

    <p>A parabola</p> Signup and view all the answers

    What is the nature of the function f(x) = |2sgn(2x)| + 2 at x = 0?

    <p>Continuous at x = 0</p> Signup and view all the answers

    What is the condition for L = M?

    <p>One of them gets p books and another gets q books</p> Signup and view all the answers

    What is the condition for M = N?

    <p>They are divided into two groups of p books and q books</p> Signup and view all the answers

    What is the condition for L ≠ M?

    <p>X gets p books and Y gets q books</p> Signup and view all the answers

    What is the rate of reaction when the concentration of X is 0.01M?

    <p>1.73 × 10^−4 Mmin^−1</p> Signup and view all the answers

    What is the correct order of acidity of the positions (X), (Y), and (Z) in the given compound?

    <p>(X) &gt; (Z) &gt; (Y)</p> Signup and view all the answers

    What are the calculated magnetic moments (spin only value) for the species [FeCl4]^2−, [Co(C2O4)3]^3−, and MnO4^2− respectively?

    <p>4.90, 0, and 2.83 BM</p> Signup and view all the answers

    How many hydroxyl groups are present in pyrophosphoric acid?

    <p>3</p> Signup and view all the answers

    What is the intermediate product Z in the given sequence of reactions?

    <p>Benzaldehyde</p> Signup and view all the answers

    What is the name of the reaction: CH3COOH + Cl2 → ClCH2COOH + HCl?

    <p>Hell-Volhard-Zelinsky reaction</p> Signup and view all the answers

    Which of the following alkyl groups has the maximum +I effect?

    <p>(CH3)3C−</p> Signup and view all the answers

    What is the unit of the rate of reaction when the concentration of X is 0.01M?

    <p>Mmin^−1</p> Signup and view all the answers

    If Sumit is facing east and turns 135° anti-clockwise, what direction is he facing?

    <p>North-east</p> Signup and view all the answers

    If Megha walks 10 km north and then 15 km east, how far is she from her starting point?

    <p>15 km</p> Signup and view all the answers

    If a person is facing east and turns 90° clockwise, which direction is he facing?

    <p>West</p> Signup and view all the answers

    If a person is facing west and turns 180° anti-clockwise, which direction is he facing?

    <p>East</p> Signup and view all the answers

    If a person walks 5 km north, then 3 km east, and finally 2 km south, how far is he from his starting point?

    <p>4 km</p> Signup and view all the answers

    If a person faces north and turns 45° clockwise, which direction is he facing?

    <p>North-east</p> Signup and view all the answers

    If a person walks 8 km east, then 6 km south, and finally 4 km east, how far is he from his starting point?

    <p>10 km</p> Signup and view all the answers

    If a person is facing south and turns 90° anti-clockwise, which direction is he facing?

    <p>East</p> Signup and view all the answers

    Study Notes

    Paternal Uncle and Nephew

    • Vasantha's father's son is Venkat, making Venkat Vasantha's brother.
    • Venkat's mother is Vasantha's mother, making her Vasantha's mother too, which means Venkat's mother is Vasantha's mother (an aunt).

    Directions and Distances

    • If Sumit is facing east and turns 135° anti-clockwise, he will be facing north-east.
    • He then turns 90° clockwise, making him face south-east.

    Paper Folding

    • No information to summarize.

    Linear and Quadratic Equations

    • No information to summarize.

    Matrices

    • If A is a square matrix of order 3, where the transpose of the inverse of A is A itself, then |adj (adj A)| is equal to 1.

    Geometric Shapes

    • No information to summarize.

    Chemical Reactions

    • The rate of reaction when the concentration of X is 0.01M can be calculated from the given concentration changes.
    • The correct order of acidity of the positions (X), (Y), and (Z) in the given compound is not specified.
    • The calculated magnetic moments (spin only value) for species [FeCl4]²⁻, [Co(C₂O₄)₃]³⁻, and MnO₄²⁻ are not specified.
    • Pyrophosphoric acid has 4 hydroxyl groups.
    • The correct sequence of reactions to form Z is not specified.
    • The reaction CH₃COOH + Cl₂ ⟶ ClCH₂COOH + HCl is called a Hell-Volhard-Zelinsky reaction.

    Alkyl Groups

    • The alkyl group with the maximum +I effect is (CH₃)₂CH⁻.

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