JEE Main questions
34495 published questions with worked solutions.
- A solution of sodium sulfate contains 92 g of Na^+ ions per kilogram of water. The molality of Na^+ ions in that solution in mol...
- The isotopes of hydrogen are:Not in JEE Main or NEET syllabus
- Aluminium is usually found in +3 oxidation state. In contrast, thallium exists in +1 and +3 oxidation states. This is due to:
- _ y 0 1 + 1 + y^4 - 2 y^4
- If a, b and c be three distinct real numbers in G.P. and a + b + c = xb, then x cannot be:
- The maximum volume (in cu. m) of the right circular cone having slant height 3 m is:
- The system of linear equations x + y + z = 2, 2x + 3y + 2z = 5, 2x + 3y + (a^2 - 1)z = a + 1
- Let f: R R be a function defined as f(x) = cases 5, & if x 1 a + bx, & if 1 < x < 3 b + 5x, & if 3 x < 5 30, & if x 5 cases ....
- Axis of a parabola lies along x-axis. If its vertex and focus are at distances 2 and 4 respectively from the origin, on the...
- Let α and β be two roots of the equation x^2 + 2x + 2 = 0, then ^ 15 + ^ 15 is equal to:
- If the Boolean expression (p q) ( p q) is equivalent to p q, where ⊕, ⊙ ∈ ∧, ∨ , then the ordered pair (⊕, ⊙) is:Not in JEE syllabus
- Let a = i - j, b = i + j + k and c be a vector such that a c + b = 0 and a c = 4, then | c|^2 is equal to:
- 5 students of a class have an average height 150 cm and variance 18 cm^2. A new student, whose height is 156 cm, joined them. The...
- Let A = (- 2, ) : 3 + 2i 1 - 2i is purely imaginary . Then the sum of the elements in A is:
- Consider a class of 5 girls and 7 boys. The number of different teams consisting of 2 girls and 3 boys that can be formed from...
- For any ( 4, 2 ), the expression 3( - )^4 + 6( + )^2 + 4 ^6 equals:
- Equation of a common tangent to the circle x^2 + y^2 - 6x = 0 and the parabola, y^2 = 4x, is:
- Let a_1, a_2, , a_ 30 be an A.P., S = _ i=1 ^ 30 a_i and T = _ i=1 ^ 15 a_ (2i-1) . If a_5 = 27 and S − 2T = 75, then a_ 10 is...
- For x^2 n + 1, n ∈ N (the set of natural numbers), the integral x 2 (x^2-1) - 2(x^2-1) 2 (x^2-1) + 2(x^2-1) ,dx is equal to:...
- If ^ -1 ( 2 3x ) + ^ -1 ( 3 4x ) = 2 (x > 34 ), then x is equal to: