JEE Main questions
34495 published questions with worked solutions.
- Match the LIST-I with LIST-II List-I (Complex ion): A. [Cr(H₂O)₆]²⁺ B. [Co(H₂O)₆]²⁺ C. [Cu(H₂O)₆]²⁺ D. [Mn(H₂O)₆]²⁺ List-II...
- Increasing order of electron withdrawing power of following functional groups is: a. −CN b. −COOH c. −NO₂ d. −I
- Match the LIST-I with LIST-II List-I (Name of reaction): A. Finkelstein reaction B. Swarts reaction C. Sandmeyer's reaction D....
- Amongst the given nine compounds (benzaldehyde; 1-naphthol; a phenol bearing an N,N-dimethylamino substituent; a para-substituted...
- Product C of the following reaction sequence will be: Aniline Br_2/water A (Major Product) NaNO_2/HCl, 273-278K B (i) ,HBF_4 (ii)...
- Given below are two statements: Statement I: The structure of Maltose is given below (two glucose units linked α-1,4). Maltose is...
- Match the LIST-I with LIST-II List-I (Name of amino acid): A. Arginine B. Aspartic acid C. Lysine D. Glutamic acid List-II (One...
- Identify the colour of compound 'X' in the sequence of the reaction. (Phenolphthalein synthesis: phenol + phthalic anhydride,...
- According to Lewis theory, the total number of σ bond-pairs and lone pair of electrons around the central atom of XeO₆⁴⁻ ion is...
- 2.0 g of a bromo hydrocarbon (X) was subjected to Carius analysis, gave 3.36 g of AgBr. The percentage of carbon in the compound...
- The pH of a solution obtained by mixing 5 mL of 0.1 M NH₄OH solution with 250 mL of 0.1 M NH₄Cl solution is _______ × 10⁻²....
- A non-volatile, non-electrolyte solid solute when dissolved in 40 g of a solvent, the vapour pressure of the solvent decreased...
- For the function f : [1, ∞) → [1, ∞) defined by f(x) = (x−1)⁴ + 1, among the two statements: (I) The set S = x ∈ [1, ∞) : f(x) =...
- Let S = z ∈ ℂ : z² + 4z + 16 = 0 . Then _ z S |z+ 3 i|^2 is equal to:
- If the system of equations x+y+z=5, x+2y+3z=9, x+3y+λz=μ has infinitely many solutions, then the value of λ+μ is:
- If α = 1 and β = 1 + i√2, where i = √−1, are two roots of the equation x³+ax²+bx+c=0, a,b,c ∈ ℝ, then _ -1 ^ 1 (x^3+ax^2+bx+c)dx...
- If the quadratic equation (λ+2)x² − 3λx + 4λ = 0, λ ≠ −2, has two positive roots, then the number of possible integral values of...
- Let A = bmatrix 1&2&7 4&-2&8 3&8&-7 bmatrix and det(A−αI)=0, where α is a real number. If the largest possible value of α is p,...
- Let α = 1/4+1/8+1/16+… ∞ and β = 1/3+1/9+1/27+… ∞. Then the value of (0.2)^ _ 5 + (0.04)^ _5 is equal to:
- For 10 observations x₁,…,x₁₀, if _ i=1 ^ 10 (x_i+2)^2=180 and _ i=1 ^ 10 (x_i-1)^2=90, then their standard deviation is: