Major Competitive Exams
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Q. For the reaction: A(g) + B(g) ⇌ C(g) + D(g), if the volume of the container is decreased, what will be the effect on the equilibrium? (2023)
Q. For the reaction: A(g) ⇌ B(g) + C(g), if the concentration of A is increased, what will happen to the equilibrium position?
Q. For the set E = {1, 2, 3, 4}, how many subsets contain the element 1?
Q. For the set E = {1, 2, 3, 4}, how many subsets have exactly 2 elements?
Q. For the set F = {a, b, c}, how many subsets have exactly 2 elements?
Q. For the vectors A = (1, 0, 0) and B = (0, 1, 0), what is the scalar product A · B?
Q. For vectors A = (2, 3) and B = (4, 5), find the scalar product A · B.
Q. For vectors A = (3, -2, 1) and B = (1, 4, -2), find A · B.
Q. For vectors A = 2i + 3j and B = 5i + 6j, what is A · B?
Q. For vectors A = 2i + j and B = 3i + 4j, what is the scalar product A · B?
Q. For vectors A = 4i + 3j and B = 3i - 4j, find A · B.
Q. For vectors A = 6i + 8j and B = 2i + 3j, find A · B.
Q. For what value of b is the function f(x) = { x^3 - 3x + b, x < 1; 2x + 1, x >= 1 continuous at x = 1?
Q. For which of the following diatomic molecules is the bond order equal to 2?
Q. For which of the following molecules is the bond order equal to 0?
Q. For which of the following molecules is the molecular orbital diagram similar to that of O2?
Q. For which of the following pairs of molecules is the bond order the same?
Q. For which value of a is the function f(x) = x^2 + ax + 1 differentiable at x = -1?
Q. For which value of a is the function f(x) = x^2 + ax + 1 differentiable everywhere?
Q. For which value of a is the function f(x) = x^2 - ax + 2 differentiable at x = 1?
Q. For which value of a is the function f(x) = x^2 - ax + 4 differentiable at x = 2?
Q. For which value of a is the function f(x) = x^3 - 3ax + 2 differentiable at x = 1?
Q. For which value of a is the function f(x) = x^3 - 3ax^2 + 3a^2x + 1 differentiable at x = 1?
Q. For which value of a is the function f(x) = { 2x + a, x < 0; x^2 + 1, x >= 0 continuous at x = 0?
Q. For which value of a is the function f(x) = { 3x + a, x < 2; 4x - 1, x >= 2 continuous at x = 2?
Q. For which value of a is the function f(x) = { ax + 1, x < 0; 2, x = 0; 3x - 1, x > 0 } continuous at x = 0?
Q. For which value of a is the function f(x) = { ax + 1, x < 0; 2x + a, x >= 0 } continuous at x = 0?
Q. For which value of a is the function f(x) = { ax + 2, x < 1; 3, x >= 1 } continuous at x = 1?
Q. For which value of a is the function f(x) = { x^2 + a, x < 1; 3, x >= 1 } continuous at x = 1?
Q. For which value of a is the function f(x) = { x^2 - a, x < 0; 2x + 1, x >= 0 } continuous at x = 0?