24 Questions
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 = 2N
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?
1
What is the nature of the solution for the equations 2x + 3y = 7 and 14x + 21y = 49?
A unique solution
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?
A parabola
What is the nature of the function f(x) = |2sgn(2x)| + 2 at x = 0?
Continuous at x = 0
What is the condition for L = M?
One of them gets p books and another gets q books
What is the condition for M = N?
They are divided into two groups of p books and q books
What is the condition for L ≠ M?
X gets p books and Y gets q books
What is the rate of reaction when the concentration of X is 0.01M?
1.73 × 10^−4 Mmin^−1
What is the correct order of acidity of the positions (X), (Y), and (Z) in the given compound?
(X) > (Z) > (Y)
What are the calculated magnetic moments (spin only value) for the species [FeCl4]^2−, [Co(C2O4)3]^3−, and MnO4^2− respectively?
4.90, 0, and 2.83 BM
How many hydroxyl groups are present in pyrophosphoric acid?
3
What is the intermediate product Z in the given sequence of reactions?
Benzaldehyde
What is the name of the reaction: CH3COOH + Cl2 → ClCH2COOH + HCl?
Hell-Volhard-Zelinsky reaction
Which of the following alkyl groups has the maximum +I effect?
(CH3)3C−
What is the unit of the rate of reaction when the concentration of X is 0.01M?
Mmin^−1
If Sumit is facing east and turns 135° anti-clockwise, what direction is he facing?
North-east
If Megha walks 10 km north and then 15 km east, how far is she from her starting point?
15 km
If a person is facing east and turns 90° clockwise, which direction is he facing?
West
If a person is facing west and turns 180° anti-clockwise, which direction is he facing?
East
If a person walks 5 km north, then 3 km east, and finally 2 km south, how far is he from his starting point?
4 km
If a person faces north and turns 45° clockwise, which direction is he facing?
North-east
If a person walks 8 km east, then 6 km south, and finally 4 km east, how far is he from his starting point?
10 km
If a person is facing south and turns 90° anti-clockwise, which direction is he facing?
East
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⁻.
Test your knowledge of family relationships with these tricky questions! Identify the correct relationships between family members.
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