JEE Main questions
34495 published questions with worked solutions.
- Evaluate ^25^ + ^210^ + ^215^ + + ^285^ + ^290^ .
- If 2 1- - = 45, then evaluate 1- + -1 .
- How many solutions does the equation ^4x+ ^4x= x x have in [ ,5 ]?Not in JEE Main syllabus
- Consider the equation x (x+ 3 ) (x- 3 )+ 14=0, x [0,3 ]. The sum of the values of x that satisfy the equation is ( m n ) , where...Not in JEE Main syllabus
- Find the number of integral values of k for which the equation 9 x+40 x=2k+1 has a solution.Not in JEE Main syllabus
- If 8 , x, 3 8 are in A.P. and 8 , y, 4 are in A.P., then find y x .
- In (- 2 , 2 ), it is given that 2 2x>3 x. The set of all values of x that satisfy the inequality is (m ,n ) (0,p ), where m,n<0...Not in JEE Main syllabus
- Given that 4 x y=1 and ^2x+ ^2y 32, evaluate ^2x+ ^2y.
- Consider the inequality x- 3x 0, x [0,2 ]. Apart from isolated points, the solution set is [0,a ] [b ,2 ]. Find b-a.Not in JEE Main syllabus
- If 75^ and 15^ are the roots of the quadratic equation x^2+Px+Q=0, then evaluate Q-P.
- How many solutions does the equation ^5x+ ^4x=1, -2 <x<2 , have?Not in JEE Main syllabus
- How many solutions does the equation ^ 10 x- ^ 10 x=1 have in [-3 ,3 ]?Not in JEE Main syllabus
- If (7 12^ )= ab + a+ b+a, where a,b are positive integers, then find b a .
- Evaluate ^288^ + ^228^ - 88^ 28^ .
- Let < < 3 2 . Evaluate the expression 4 ^4 + ^22 +4 ^2 ( 4 - 2 ).
- Let A= 1,3,4,6,9 and B= 2,4,5,8,10 . Let R be a relation defined on A B such that R= ((a_1,b_1),(a_2,b_2)):a_1 b_2 and b_1 a_2 ....
- Let A= 1,2,3,4,5,6,7 . Then the relation R= (x,y) A A:x+y=7 is
- Let the number of elements in sets A and B be five and two respectively. Then the number of subsets of A B, each having at least...
- Let f:R- 2,6 R be a real valued function defined as f(x)= x^2+2x+1 x^2-8x+12 . Then the range of f is
- Let f(x)=(x+1)^2-1, x -1. Statement-1: The set x:f(x)=f^ -1 (x) = 0,-1 . Statement-2: f is a bijection.