List of top Questions asked in JEE Main

Identify the correct mirror image of the given figure along the \(X\!-\!X'\) axis.
The question figure shows the 3D view of an object. Identify the correct top view of the object.

The question figure shows the 3D view of an object. Identify the correct view when looking in the direction of the arrow.
The question figure shows the 3D view of an object. Identify the correct view when looking in the direction of the arrow.
A person walks \(10\) km towards the north, then turns to his left and walks \(5\) km, and then again turns to his left and walks \(10\) km. How far is he from his starting point now?
Identify the figure which is odd from the rest of the figures.
How many squares are there in the given figure?
Identify the correct mirror image of the given figure along the \(XY\)-axis.
Five diagrams \(A, B, C, D,\) and \(E\) are given. Three out of these, when put together, form a square. Identify the correct set of diagrams.
A man is looking at a photograph of a woman and his friend asks him, “Who is she?” The man replies, “I have no brother or sister, but the father of the woman in the photograph is my father’s son.” Who is the woman in the photograph?
The question figure shows the 3D view of an object. Identify the correct view when looking in the direction of the arrow.
The question figure shows the 3D view of an object. Identify the correct view when looking in the direction of the arrow.
The question figure shows the 3D view of an object. Identify the correct top view.
Let the value of \(p\), such that the sum of the squares of the roots of the quadratic equation \[ x^2+(7-p)x+4=p \] has the least value, be \(\alpha\), and the corresponding roots be \(\beta\) and \(\gamma\). Then \(\alpha^3+\beta^3+\gamma^3\) equals \underline{\hspace{2cm}.}
The concept of scale is clearly associated with which of the following in reality?
Let \[ f(x)= \begin{vmatrix} -\cos x & \tan x & 3\sin x\\ 1 & -3x & 2x^2\\ x^3 & x & x^2 \end{vmatrix}. \] Then the value of \[ \lim_{x\to 0}\frac{(1+x)f(x)-3x\sin x}{x^3} \] is:
The area of the region \[ \{(x,y): \sin x \le y \le \sqrt{\pi^2-x^2}\} \] is:
Let \[ f(x)=\int\left(\frac{1}{\log_e x}-\frac{2}{(\log_e x)^3}\right)\,dx. \] If \(f(e)=2e\), then \(f(e^2)\) is equal to:
The number of integral terms in the binomial expansion of \[ \left(11^{\frac{1}{2}} + 17^{\frac{1}{8}}\right)^{1024} \] is:
Two persons \(A\) and \(B\) alternately throw a pair of dice. \(A\) wins if he throws a sum of \(4\) before \(B\) throws a sum of \(9\), and \(B\) wins if he throws a sum of \(9\) before \(A\) throws a sum of \(4\). The probability that \(A\) wins if \(B\) makes the first throw is:
The number of integral values of \(n\), for which the equation \[ 3\cos x + 5\sin x = 2n + 1 \] has a solution, is:
If the system of linear equations : \[ x+y+z=4,\quad x+2y+3z=6,\quad 4x+5y+\lambda z=\mu \] has more than one solution, then the value of \( \lambda+\mu \) is equal to:
Let \( b_1 = 3, b_2, b_3, \ldots \) be a geometric progression of increasing positive numbers. Let \[ \sum_{n=1}^{20} b_{3n} = 4\sum_{n=1}^{20} b_{3n-2}. \] Then, the sum of the first ten terms of the G.P. is:
If all the words, with or without meaning, made using all the letters of the word ``RANCHI'' are arranged as in a dictionary, then the word at \(560^{\text{th}}\) position is:
Let the parabola \(y = x^2 + px - 3\) meet the coordinate axes at the points P, Q and R. If the circle C with centre at (-1, -1) passes through the points P, Q and R, then the area of \(\triangle PQR\) is: