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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?
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?
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?
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?
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?
What is the nature of the function f(x) = |2sgn(2x)| + 2 at x = 0?
What is the nature of the function f(x) = |2sgn(2x)| + 2 at x = 0?
What is the condition for L = M?
What is the condition for L = M?
What is the condition for M = N?
What is the condition for M = N?
What is the condition for L ≠ M?
What is the condition for L ≠ M?
What is the rate of reaction when the concentration of X is 0.01M?
What is the rate of reaction when the concentration of X is 0.01M?
What is the correct order of acidity of the positions (X), (Y), and (Z) in the given compound?
What is the correct order of acidity of the positions (X), (Y), and (Z) in the given compound?
What are the calculated magnetic moments (spin only value) for the species [FeCl4]^2−, [Co(C2O4)3]^3−, and MnO4^2− respectively?
What are the calculated magnetic moments (spin only value) for the species [FeCl4]^2−, [Co(C2O4)3]^3−, and MnO4^2− respectively?
How many hydroxyl groups are present in pyrophosphoric acid?
How many hydroxyl groups are present in pyrophosphoric acid?
What is the intermediate product Z in the given sequence of reactions?
What is the intermediate product Z in the given sequence of reactions?
What is the name of the reaction: CH3COOH + Cl2 → ClCH2COOH + HCl?
What is the name of the reaction: CH3COOH + Cl2 → ClCH2COOH + HCl?
Which of the following alkyl groups has the maximum +I effect?
Which of the following alkyl groups has the maximum +I effect?
What is the unit of the rate of reaction when the concentration of X is 0.01M?
What is the unit of the rate of reaction when the concentration of X is 0.01M?
If Sumit is facing east and turns 135° anti-clockwise, what direction is he facing?
If Sumit is facing east and turns 135° anti-clockwise, what direction is he facing?
If Megha walks 10 km north and then 15 km east, how far is she from her starting point?
If Megha walks 10 km north and then 15 km east, how far is she from her starting point?
If a person is facing east and turns 90° clockwise, which direction is he facing?
If a person is facing east and turns 90° clockwise, which direction is he facing?
If a person is facing west and turns 180° anti-clockwise, which direction is he facing?
If a person is facing west and turns 180° anti-clockwise, which direction is he facing?
If a person walks 5 km north, then 3 km east, and finally 2 km south, how far is he from his starting point?
If a person walks 5 km north, then 3 km east, and finally 2 km south, how far is he from his starting point?
If a person faces north and turns 45° clockwise, which direction is he facing?
If a person faces north and turns 45° clockwise, which direction is he facing?
If a person walks 8 km east, then 6 km south, and finally 4 km east, how far is he from his starting point?
If a person walks 8 km east, then 6 km south, and finally 4 km east, how far is he from his starting point?
If a person is facing south and turns 90° anti-clockwise, which direction is he facing?
If a person is facing south and turns 90° anti-clockwise, which direction is he facing?
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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Test your knowledge of family relationships with these tricky questions! Identify the correct relationships between family members.
