List of practice Questions

Let f and g be functions from the interval $[0, \infty)$ to the interval $[0, \infty)$,f being an increasing and g being a decreasing function. If f{g(0)} = 0 then

Let $B = 2 \, \sin^2 \, x - \cos \, 2x$, then

Let $ { \frac{C}{5} = \frac{F - 32}{9}}$. If C lies between 10 and 20, then :

Let $F_1$ be the set of parallelograms, $F_2$ the set of rectangles, $F_3$ the set of rhombuses, $F_4$ the set of squares and $F_5$ the set of trapeziums in the plane. Then $F_1$ may be equal to

Let a, b, c are three non-coplanar vectors such that $r_{1}=a-b+c, r_{2}=b+c-a, r_{3}=c+a+b,$ $r=2a-3b+4c. If \, r=\lambda_{1}r_{1}+\lambda_{2}r_{2}+\lambda_{3}r_{3}, $then

Let $A=(a_{ij})_{m\times n}$ be a matrix such that $a_{ij}=1$ for all I, j. Then

Let $A$ and $B$ be two event such that $P\left(A\right) = \frac{3}{8}, P\left(B\right) = \frac{5}{8} $ and $P\left(A\cup B\right) =\frac{3}{4}$. then $P \left(A|B\right)\cdot P\left(A'|B\right)$ is equal to

Let A and B be two matrices then (AB)' equals:

Let $\overrightarrow{a} $ and $\overrightarrow{b} $ be two unit vectors. If the vectors $\overrightarrow{c} =\overrightarrow{a}+2\,\overrightarrow{b} $ and $\overrightarrow{d} =5\,\overrightarrow{a}-4\,\overrightarrow{b} $ are perpendicular to each other, then the angle between $\overrightarrow{a} $ and $\overrightarrow{b} $ is .

Let $A = \{1, 3, 5, 7, 9, 11\}$, then number of subsets of $A$ is equal to

Let $a_1,a_2,a_3,a_4$ and $a_5$ be such that $a_1,a_2$ and$ a_3$ are in A.P., $a_2,a_3$ and $a_4$ are in G.P. and $a_3, a_4$ and $a_5$ are in H.P. Then, $a_1,a_3$ and $a_5$ are in

Let $a_1, a_2, a_3,$ ...........be the sequence, then the sum expressed as $a_1 + a_2 + a_3 + ...... + a_n$ is called ........

Let $A = \{a_1, a_2\}$ and $B = \{b_1, b_2\}$, then the number of relations from $A$ to $B$ is

Length of intercept made by the circle $x^{2} + y^{2} - 16x + 4y - 36 = 0$ on $x$-axis is

Let $A = { 1,2,3,4}$ and $B = {2,3,4,5,6 }$ then $A \Delta B$ is equal to

Let A = {1, 2, 3, 4, 5} and the functions f :A $\to$ A and g:A $\to$ A be defined by f (1) = 3, f (2) = 5, f (3) = 3, f (4) = 1, f (5) = 2; g (1) = 4, g (2) = 1, g (3) = 1, g (4) = 2, g (5) = 3. Then

Let $A=\begin{bmatrix}1&2\\ -5&1\end{bmatrix} $and$ A^{1} = xA + yI$, then the values of $x$ and $y$ respectively are

Least energetic conformation of cyclohexane is

Leaves appear green because they

Leaves of many plants have adventitious buds that help in vegetative propagation, e.g., Begonia, Bryophyllum, Adiantum, etc.In Bryophyllum diagremontianum, buds develop on the marginal notches of intact leaves which form plantlets

Lead poisoning in the body can be removed by

Lead sulphate is soluble in

Leaf tip tendrils are present in

'Lean meat' is considered to be of high quality because it has

Lead Pencil contains