Recent questions and answers

Which one of the following figures $\mathrm{P}, \mathrm{Q}, \mathrm{R}$, or S , correctly shows the $45^{\circ}$ clockwise-rotated version of figure $\text{(I)}$?$\text{P...

If $|9y−6| =3$, then $y^{2}-4y/3$ is .$0$$+1/3$$-1/3$undefined

Statement: There were different streams of freedom movements in colonial India carried out by themoderates, liberals, radicals, socialists, and so on.Which one of the fol...

In the summer of $2012,$ in New Delhi, the mean temperature of Monday to Wednesday was $41^{\circ}C$ and of Tuesday to Thursday was $43^{\circ}C$. If the temperature on T...

Two $n \times n$ matrices $A$ and $B$ have a common eigenvalue $2$, and the same corresponding nonzero eigenvector.Which of the following options is/are correct?(Note: $I...

Consider the system of linear equations: $A \boldsymbol{x}=\boldsymbol{b}$, where $A$ is an $n \times n$ matrix, and $\boldsymbol{x}$ and $\boldsymbol{b}$ are $n$-dimensi...

The ratio of male to female students in a college for five years is plotted in the following line graph. If the number of female students doubled in $2009$, by what perce...

The ratio of male to female students in a college for five years is plotted in the following line graph If the number of female students in $2011$ and $2012$ is equal, wh...

For the circuit shown, which one of the following options correctly identifies the Thevenin's equivalent parameters between nodes Y and Z?$\mathrm{V}_{\mathrm{TH}}=100 \m...

The Laplace transform of the step response of a system is given by\[Y(s)=\frac{100}{s(s+100)}\]The rise time is defined as the time taken for the response to go from $0.1...

Instrument(s) required to synchronize an alternator to the grid is/areVoltmeterWattmeterSynchroscopeStroboscope

​​​​​If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [talk $\rightarrow$ shout $\rightarrow$ scream] is analogous to [please $\r...

Which one of the following vector functions represents a magnetic field $\overrightarrow{B}$?$\text{($\hat{X}, \hat{Y}$ and $\hat{Z}$ are unit vectors along x-axis, y-axi...

The integral\[\frac{1}{\pi} \int_{0}^{\infty} \frac{x^{2026}}{\left(1+x^{2026}\right)\left(1+x^{2}\right)} \mathrm{d} x\]evaluates to $\_\_\_\_$(Round off to two decimal ...

Let $(x, y) \in \Re^{2}$. The rate of change of the real valued function,$V(x, y)=x^{2}+x+y^{2}+1$at the origin in the direction of the point $(1,2)$ is $\_\_\_\_\_\_\_\_...

Let $f\left ( x \right ) = \int_{0}^{x} e^{t}\left ( t-1 \right )\left ( t-2 \right )dt$. Then $f\left ( x \right )$ decreases in the interval$x \in \left ( 1,2 \right )$...

Given a system of equations: $x+2y+2z=b_1$ $5x+y+3z=b_2$ Which of the following is true regarding its ...

Let $v_{1}$ and $v_{2}$ be the two eigenvectors corresponding to distinct eigenvalues of a $3 \times 3$ real symmetric matrix. Which one of the following statements is tr...

In the $4 \times 1$ multiplexer, the output $F$ is given by $F = A \oplus B$. Find the required input $'I_{3}, I_{2}, I_{1}, I_{0}'$.$1010$$0110$$1000$$1110$

A circuit with ideal elements is shown.Which one of the following options correctly identifies all the linear elements in the circuit?$\text{R}$ only$\text{R, L,}$ and $\...

After Rajendra Chola returned from his voyage to Indonesia, he ________ to visit the temple in Thanjavur.Was wishingIs wishingWishedHad wished

The figure below is supposed to show three non-overlapping shapes - one oval and two triangles. Which one of the following figures $\text{P, Q, R,}$ or $\text{S}$ fits th...

$P$ and $Q$ are two positive integers such that $P^{2}=Q^{2}+13$.The product of the numbers $P$ and $Q$ is $\_\_\_\_$$13$$26$$39$$42$

In the given figure, $\overline{P Q}$ is the diameter of a circle with center $O$. Two points $R$ and $S$ are chosen on the circle such that $\angle R O S=80^{\circ}$. Wh...

'If Anish had scored hundred runs in today's match, he would have been made the captain of his team. He would have then become the youngest captain in his team's history....

Three points in the $x-y$ plane are $(-1,0.8),(0,2.2)$ and $(1,2.8).$ The value of the slope of the best fit straight line in the least square sense is___________(Round o...

Based on the relationship between each polygon and the number inside it, the value of ' $X$ ' is $\_\_\_\_$$720$$596$$24$$240$

At how many points will the curves $y=x^{2}$ and $y=-x^{2}-2 x-1$ intersect in the real $(x, y)$ plane?$0$$1$$2$$3$

Pick the odd one out in the following: $13, 23, 33, 43, 53$ $23$$33$ $43$$53$

'The shopkeeper sells lemons.'In this sentence, the word 'lemons' is the $\_\_\_\_$.objectsubjectpredicateverb