List of top Mathematics Questions

If A is a non-zero column matrix of order m x 1 and B is non-zero row matrix of order $1 \times n$, then rank of AB is equal to

If $A = \begin{bmatrix}i&0\\ 0&-i\end{bmatrix}, B = \begin{bmatrix}0&-1\\ 1&0\end{bmatrix}$ and $ C= \begin{bmatrix}0&i\\ i&0\end{bmatrix} $ then $A^{2} = B^{2} =C^{2} $ is equal to :

If $a + ib = c + id$, then

If a card is drawn from a well shuffled pack of 52 cards, then the probability that it is a spade or queen is

If a coin is tossed 3 times the probability of obtaining 2 heads or 2 tails is

If $a, b, c, d, e, f$ are in A.P., then $e - c$ is equal to :

If $a, b, c > 0$ and if $abc = 1$, then the value of $a + b + c + ab + bc + ca$ lies in the interval

If $a, b, c $ are in A.P. in $a^2, b^2, c^2$ are in H.P., then

If a, b, c are in G.P. then $\frac{1}{a^2 - b^2} + \frac{1}{b^2}$ is:

If $A + B + C = 180^\circ$, then the value of $\begin{bmatrix} 1& 1 & 0 \\[0.3em] -\cos\,C & \cot\, A & -\cot\, A \\[0.3em] -\cot\,B & \cot\,C & \cot\, B \end{bmatrix}$ is

If $\frac{a+b}{1-ab},b,\frac{b-c}{1-bc}$ are in A.P.., then $a,\frac{1}{b},c$ are in

If A, B are square matrices of order 3, then

If A, B are symmetric matrices of the same order then AB - BA is a

If A $\times$ B = { (5, 5), (5, 6), (5, 7), (8, 6), (8, 7), (8, 5)}, then the value A.

If A and B are two sets, then A $\cap$ (A $\cup$ B)' equals :

If A and B are two incidencies and P (A) = $\frac{3}{8} , P(B) = \frac{1}{2}, P(A \cap B) = \frac{1}{4}$ , then the value of $P(A' \cup B')$ is

IF $A$ and $B$ are two independent events in a sample space S then $P( A \cap B) = $

If $A$ and $B$ are two mutually exclusive events then $P (A \cap B)$ =

If $A$ and $B$ are subsets of universal set $U$ such that $n(U) = 800$, $n(A) = 300$, $n(B) = 400$ and $n(A \cap B) = 100$. The number of elements in the set $A^c \cap B^c$ is

If A and B are symmetric matrices of the same order, then

If $A$ and $B$ are two events, then the set $(A \cap B)$ denotes the event

If $A$ and $B$ are not disjoint sets, then $n(A \cup B)$ is equal to

If A and B are square matrices of size n ? n such that $A^2 - B^2 = (A- B)(A+ B)$ , then which of the following will be always true?

If $A$ and $B$ are mutually exclusive events, then

If $A = \begin{bmatrix}6&8&5\\ 4&2&3\\ 9&7&1\end{bmatrix} $ is the sum of a symmetric matrix B and skew-symmetric matrix C, then B is