List of top Mathematics Questions asked in OJEE

In a frequency distribution, the mean and median are 17 and 18 respectively. Then the mode of the distribution is
If \( \sin^{-1} x + \sin^{-1} y = \frac{\pi}{2} \), then \( x^2 \) is equal to
Two dice are thrown together. The probability of getting a sum more than 8 is
The hexadecimal representation of the decimal number 2000 is
The binary representation of the decimal number 125 is
The system of equations \( 3x + 5y = 4 \); \( 6x + ky = 8 \) has infinitely many solutions if \( k \) is equal to
In a group of people it was observed that 86 persons know Odia, 64 know English, 42 know Hindi, 39 know Odia and English, 21 know English and Hindi, 17 know Odia and English, and 16 persons know all the three languages. How many persons in the group know at least one language?
On a shelf, 2 books of History, 3 books of Philosophy, and 5 books of Economics are to be arranged in such a way that the books of any subject are kept together. The number of ways this can be done is
The number of ways in which the letters of the word "BUSINESS" can be arranged so that the vowels always come together is
Let \( A \) be a square matrix of order 3 and \( |A| \) denote the determinant of \( A \). If \( A = kB \), where \( k \) is a scalar, then \( |A| \) is equal to
The value of \( k \) for which the system of equations \( x + ky + 3z = 0 \); \( 3x + ky + 2z = 0 \); \( 2x + 3y + 4z = 0 \) has a non-trivial solution is
Three fair dice are thrown simultaneously. What is the probability that the sum is 5?
The letters of the word CEBADA are written in all possible orders and these words are written out as in a dictionary. Then the rank of the word CEBADA is
A person bought 76 articles and sold 20 articles at 15% profit, 40 articles at 19% profit and remaining 16 articles at 25% profit and got a profit of Rs 6570 as a whole. The cost price of each article is:
Three containers contain alcohol to water in the ratios 3:5, 1:3, and 1:1 respectively. If the solutions of the three containers are mixed in the volume ratio of 1:2:3, then what is the ratio of alcohol to water in the final solution?
The ratio between Rohit's and Vivek's age at present is 5:3. Vivek is 8 years younger than Rohit. The ratio of Rohit's age to Vivek's age after 5 years will be:
If \( z = e^{i\theta} \), then which of the following complex numbers is of unit modulus?
If the straight line \( \frac{x}{p} - \frac{y}{q} = 1 \) touches the curve \( \left( \frac{x}{a} \right)^n - \left( \frac{y}{b} \right)^n = 1 \), then
For any positive integer \( n \), the value of \( 1 + 1! + 2.2! + 3.3! + \cdots + n.n! \) will be
For the matrix \( A = \begin{pmatrix} 0 & 1 \\ -1 & 0 \end{pmatrix} \), the matrix \( A^{2n} \) has the form

The value of the determinant where \( \omega \) is cube root of unity is \[ \begin{vmatrix} \omega^2 & \omega & \omega^2 \\ \omega^2 & \omega & \omega^2 \\ \omega^2 & \omega & \omega^2 \end{vmatrix} \]

Value of $1+cos56^{\circ}+cos58^{\circ}-cos66^{\circ}$ is
Which is true ?
If $2\,sin\,x=\sqrt{\frac{p}{q}}+\sqrt{\frac{q}{p}}$, then
Let $A$ be the square of natural numbers and $x$, $y$ are any two elements of $A$. Then