List of practice Questions

If $A$ is a skew symmetric matrix and $n$ is an even positive integer, then $A^n$ is a

If A is a non-singular matrix of order 3, then adj (adj A) is equal to

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 genetic disease is transferred from a phenotypically normal but carrier female to only some of the male progeny, the disease is

If a gas has f - degrees of freedom, the ratio $C_p/C_v$ of the gas is

If a conical wire is stretched by two forces F applied, parallel to its length and In opposite direction. NoramI to end faces. The length of wire is L and its end radius are $r_1$ and $r_2$ Find out the extention produced (Given: Y=Young's modulus of wire)

If a double stranded $DNA$ has $20\%$ of cytosine, what will be the percentage of adenine in it?

If a force of 250 N act on a body, the momentum acquired is $125\,kg\,m\,s^{-1}$, what is the period for which force acts on the body ?

If a car covers $2/5^{th}$ of the total distance with $v_1$ speed and $3/5^{th}$ distance with $v_2$ then average speed is

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 ball of $80\, kg$ mass hits an ice cube and temperature of ball is $100\,^{\circ}C$, then how much ice converted into water ? (Specific heat of ball is $0.2 \,cal \,g^{-1}$, Latent heat of ice $= 80\, cal \,g^{-1}$)

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

If a ball is thrown vertically upwards with a velocity of 40 m/s, then velocity of the ball after two seconds will be $(g = 10 \, m/s^2)$

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

If $A + B + C = 180^\circ$, 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 $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 $\frac{a+b}{1-ab},b,\frac{b-c}{1-bc}$ are in A.P.., then $a,\frac{1}{b},c$ are in

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

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 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