JEE Main questions
34495 published questions with worked solutions.
- A tetrapeptide, "x" on complete hydrolysis produce glycine (Gly), alanine (Ala), valine (Val), leucine (Leu) in equimolar...
- Given below are two statements: Statement (I): Neopentane forms only one monosubstituted derivative. Statement (II): Melting...
- The nature of oxide (TeO_2) and hydride (TeH_2) formed by Te, respectively are:
- The type of hybridization and the magnetic property of [MnCl_6]^ 3- are,
- Consider the following chemical equilibrium of the gas phase reaction at a constant temperature: A(g) B(g) + C(g) If p being the...
- When 1 g each of compounds AB and AB_2 are dissolved in 15 g of water separately, they increased the boiling point of water by...
- 0.2% (w/v) solution of NaOH is measured to have resistivity 870.0 mΩ m. The molar conductivity of the solution will be _____ ×...
- The spin-only magnetic moment value of Mn^+ ion formed among Ni, Zn, Mn and Cu that has the least enthalpy of atomisation is...
- Let a ∈ R and A be a matrix of order 3 × 3 such that det(A) = –4 and A + I = bmatrix 1 & a & 1 2 & 1 & 0 a & 1 & 2 bmatrix ,...
- Let P_n = ^n + ^n, n ∈ N. If P_ 10 = 123, P_9 = 76, P_8 = 47 and P_1 = 1, then the quadratic equation having roots 1 and 1 is :
- If S and S′ are the foci of the ellipse x^2 18 + y^2 9 =1 and P be a point on the ellipse, then min.(SP·S′P) + max.(SP·S′P) is...
- Let f : R → R be a twice differentiable function such that ( x y)(f(2x+2y)-f(2x-2y)) = ( x y)(f(2x+2y)+f(2x-2y)), for all x, y ∈...
- Let A be the set of all function f : Z → Z and R be a relation on A such that R = (f, g : f(0) = g(1) and f(1) = g(0). Then R is :
- Let a_1, a_2, a_3, be in an A.P. such that _ k=1 ^ 12 a_ 2k-1 = - 72 5 a_1, a_1 0. If _ k=1 ^ n a_k = 0, then n is :
- If the system of linear equations 3x + y + βz = 3 2x + αy – z = –3 x + 2y + z = 4 has infinitely many solutions, then the value...
- The number of sequences of ten terms, whose terms are either 0 or 1 or 2, that contain exactly five 1s and exactly three 2s, is...
- Let A = bmatrix & -1 6 & bmatrix , α > 0, such that det(A) = 0 and α + β = 1. If I denotes 2 × 2 identity matrix, then the...
- The largest n ∈ N such that 3^n divides 50! is :
- If the function f(x) = 2x^3 - 9ax^2 + 12a^2x + 1, where a > 0, attains its local maximum and local minimum values at p and q,...
- If θ ∈ [–2π, 2π], then the number of solutions of 2 2 ^2 + (2- 6) - 3 = 0, is equal to :Not in JEE Main syllabus