Practice questions
88551 published questions with worked solutions.
- Consider the following redox reaction: MnO_4^- + H^+ + H_2C_2O_4 ⇌ Mn^ 2+ + H_2O + CO_2. The standard reduction potentials are...
- 10 mL of gaseous hydrocarbon of combustion gives 40 mL of CO_2(g) and 50 mL of water vapour. Total number of carbon and hydrogen...
- For a certain reaction at 300 K, K = 10, then ΔG° for the same reaction is –_____ × 10^ -1 kJ mol^ -1 . (Given R = 8.314 JK^ -1...
- The amount of electricity in Coulomb required for the oxidation of 1 mol of H_2O to O_2 is _____ × 10^5 C.
- Total number of isomeric compounds (including stereoisomers) formed by monochlorination of 2-methylbutane is _____.
- Mass of ethylene glycol (antifreeze) to be added to 18.6 kg of water to protect the freezing point at –24°C is ______ kg (Molar...
- The following data were obtained during the first order thermal decomposition of a gas A at constant volume: A(g) → 2B(g) + C(g)...
- Let Ajay will not appear in JEE exam with probability p = 27, while both Ajay and Vijay will appear in the exam with probability...
- If the domain of the function f(x) = x^2 - 25 (4 - x^2) + _ 10 (x^2 + 2x - 15) is (−∞, α) ∪ [β, ∞), then α² + β³ is equal to:
- Consider a ΔABC where A(1, 3, 2), B(−2, 8, 0) and C(3, 6, 7). If the angle bisector ∠BAC meets the line BC at D, then the length...
- Let S_n denote the sum of the first n terms of an arithmetic progression. If S_ 10 = 390 and the ratio of the tenth the fifth...
- Let α and β be the roots the equation px² + qx − r = 0, where p ≠ 0. If p, q and r be the consecutive terms of a non-constant...
- Let the locus of the midpoints of the chords of the circle x² + (y − 1)² = 1 drawn from the origin intersect the line x + y = 1...
- If the mirror image of the point P(3, 4, 9) in the line x - 1 3 = y + 1 2 = z - 2 1 is (α, β, γ), then 14(α + β + γ) is:
- Let m and n be the coefficients of seventh and thirteenth terms respectively in the expansion of ( 13x^ 13 + 1 2x^ 23 )^ 18 ....
- Let the system of equations x + 2y + 3z = 5, 2x + 3y + z = 9, 4x + 3y + λz = μ have infinite number of solutions. Then λ + 2μ is...
- Let P be a point on the ellipse x^2 9 + y^2 4 = 1. Let the line passing through P and parallel to y-axis meet the circle x² + y²...
- Consider the relations R_1 and R_2 defined as aR_1b ⇔ a² + b² = 1 for all a, b ∈ R and (a, b) R_2 (c, d) ⇔ a + d = b + c for all...
- Let P and Q be the points on the line x + 3 8 = y - 4 2 = z + 1 2 which are at a distance of 6 units from the point R(1, 2, 3)....
- Let f(x) = |2x² + 5|x| − 3|, x ∈ R. If m and n denote the number of points where f is not continuous and not differentiable...