Recent questions tagged analytical-aptitude

Consider an art gallery whose walkways are shown as lines in the diagram. A black dot represents a junction of two walkways. A guard may be placed at a junction to watch ...

A coin with heads facing up is shown as and a coin with tails facing up is shown as .Six coins are placed in the Starting Arrangement, as shown in the figure below. A "...

In a population, patients who have high cholesterol also have high blood-pressure (BP). Some patients with high BP also have diabetes. There are no patients who have both...

Four people $\mathrm{P}, \mathrm{Q}, \mathrm{R}$, and $\text{S}$, of different ages, make the following observations.$\mathrm{P}-\mathrm{I}$ am younger than $\text{S}$.$\...

Given $f(x)=3 x^{4}+4 x^{3}-12 x^{2}+6$, the minimum value of $f(x)$ is $\_\_\_\_$.$-6$$-36$$-26$$-46$

In the reversible reaction shown below, $k_{f}$ is the forward reaction rate constant and $k_{r}$ is the reverse reaction rate constant.The CORRECT expression representin...

In the design of air pollution control devices, size of the particles that are removed with $50 \%$ efficiency is termed as $\_\_\_\_$.mean sizemode sizecut sizemedian si...

A first-order ordinary differential equation is given as follows:$$\dfrac{d y}{d x}+x^{2} y=0$$Which ONE of the following options CORRECTLY represents the characteristics...

Consider the matrix $A=\left[\begin{array}{ccc}2 & 2 & 3 \\ 2 & 5 & 6 \\ 3 & 4 & 10\end{array}\right]$.Which ONE of the following options CORRECTLY lists the eigenvalues ...

Which ONE of the following options CORRECTLY matches the atmospheric stability conditions with plume conditions/ behaviours given in the table?$$\begin{array}{|l|l|}\hlin...

A system of linear equations is given as $\mathrm{A X}=\mathrm{B}$, where $\mathrm{A}=\left[\begin{array}{cc}2 & 5 \\ 5 & -2\end{array}\right], \quad \mathrm{B}=\left[\be...

​​​In the given figure, the numbers associated with the rectangle, triangle, and ellipse are $1,2$, and $3$, respectively. Which one among the given options is the most a...

​​​​A rectangle has a length $\text{L}$ and a width $\text{W}$ , where $\text{L>W}$. If the width, $\text{W}$, is increased by $10 \%$, which one of the following stateme...

​​​​A regular dodecagon ($12$-sided regular polygon) is inscribed in a circle of radius $r$ cm as shown in the figure. The side of the dodecagon is $d \mathrm{~cm}$. All ...

​​​​Choose the redox reaction from the following$\mathrm{H}_{2} \mathrm{CO}_{3} \leftrightarrow \mathrm{H}^{+}+\mathrm{HCO}_{3}^{-}$$\mathrm{Hg}^{2+}+2 \mathrm{OH}^{-} \l...

​​​​For flood routing, consider the following statements$\text{P}$ : Hydrologic routing method uses continuity equation and momentum equation$\text{Q}$ : Hydraulic routin...

​​​​For a gradually varied flow, consider the following statements$\mathrm{P}: y_{n}>y_{c}>y$ in $M_{3}$ surface profile$\mathrm{Q}: $y_{n}<y_{c}<y$ in $S_{1}$ surface p...

​​​Match the following and choose the correct option from the following$1-\mathrm{z}, 2-\mathrm{y}, 3-\mathrm{x}$$1-\mathrm{y}, 2-\mathrm{z}, 3-\mathrm{x}$$1-\mathrm{x}, ...

$\lim _{x \rightarrow 0}\left(\frac{\ln (1+x)}{2 \sin x}\right)$ is $\_\_\_\_\_\_$ (rounded off to two decimal places).