3 answers 3 answers
"When she fell down the ________ , she received many _________ but little help."The words that best fill the blanks in the above sentence arestairs, staresstairs, stairss...
2 answers 2 answers
If $x^{2}+ x - 1 = 0$ what is the value of $x^4 + \dfrac{1}{x^4}$?$1$$5$$7$$9$
3 answers 3 answers
For $0\leq{x}\leq{2\pi}$, $\sin x \text{ and } \cos x$ are both decreasing functions in the interval _________ .$\left(0,\dfrac{\pi}{2}\right)$$\left(\dfrac{\pi}{2},\pi\r...
2 answers 2 answers
Arrange the following three-dimensional objects in the descending order of their volumes: A cuboid with dimensions $\text{10 cm, 8 cm and 6 cm}$ A cube of side $\text...
2 answers 2 answers
The area of an equilateral triangle is $\sqrt{3}$. What is the perimeter of the triangle$?$$2$$4$$6$$8$
2 answers 2 answers
An automobile travels from city $A$ to city $B$ and returns to city $A$ by the same route. The speed of the vehicle during the onward and return journeys were constant at...
2 answers 2 answers
To pass a test, a candidate needs to answer at least $2$ out of $3$ questions correctly. A total of $6,30,000$ candidates appeared for the test. Question $A$ was correctl...
1 answers 1 answer
In a detailed study of annual crow births in India, it was found that there was relatively no growth during the period $2002$ to $2004$ and a sudden spike from $2004$ to ...
4 4 answers
Inhaling the smoke from a burning ______________ could ____________ you quickly.tire / tiertire / tyretyre / tiretyre / tier
2 2 answers
A sphere of radius $r$ $\text{cm}$ is packed in a box of cubical shape.What should be the minimum volume (in $\text{cm}^{3}$) of the box that can enclose the sphere?$\fra...
5 answers 5 answers
Pipes $\text{P}$ and $\text{Q}$ can fill a storage tank in full with water in $10$ and $6$ minutes, respectively. Pipe $\text{R}$ draws the water out from the storage tan...
3 3 answers
Six persons $\text{P, Q, R, S, T and U}$ are sitting around a circular table facing the center not necessarily in the same order. Consider the following statements:$\text...
2 answers 2 answers
A building has several rooms and doors as shown in the top view of the building given below. The doors are closed initially.What is the minimum number of doors that need ...
3 3 answers
Rice, a versatile and inexpensive source of carbohydrate, is a critical component of diet worldwide. Climate change, causing extreme weather, poses a threat to sustained ...
2 2 answers
A game consists of spinning an arrow around a stationary disk as shown below. When the arrow comes to rest, there are eight equally likely outcomes. It could come to rest...
2 2 answers
​​​​​​​Consider the following inequalities.$3p \:– q < 4$$3q \:– p < 12$Which one of the following expressions below satisfies the above two inequalities?$p + q < 8$$p + ...
2 2 answers
Given below are three statements and four conclusions drawn based on the statements.Statement $1$ : Some engineers are writers.Statement $2$ : No writer is an actor.State...
2 2 answers
Which one of the following sets of pieces can be assembled to form a square with a single round hole near the center? Pieces cannot overlap.
0 0 answers
The value of $(1 + i)^{12}$, where $i = \sqrt{-1}$, is$-64i$$64i$$64$$-64$
1 1 answer
Given matrix $A = \begin{bmatrix} x & 1 & 3\\ y & 2 & 6\\ 3 & 5 & 7 \end{bmatrix}$, the ordered pair $(x, y)$ for which $\text{det}(A) = 0 $ is$(1, 1)$$(1, 2)$$(2, 2)$$(2...
0 0 answers
Let $f\left ( x \right ) = e ^{-\left |x \right |}$, where $x$ is real. The value of $\dfrac{df}{dx}$ at $x = -1$ is$-e$$e$$\frac{1}{e}$$\frac{-1}{e}$
0 0 answers
The value of the real variable $x \geq 0$, which maximizes the function $f\left ( x \right ) = x^{e} e ^{-x}$ is$e$$0$$\frac{1}{e}$$1$
0 0 answers
For a single component system at vapor-liquid equilibrium, the extensive variables $\text{A,V, S and N}$ denote the Helmholtz free energy, volume, entropy, and number of ...
0 0 answers
Consider turbulent flow in a pipe under isothermal conditions. Let $r$ denote the radial coordinate and $z$ denote the axial flow direction. On moving away from the wall ...
0 0 answers
Consider two stationary spherical pure water droplets of diameters $d_{1}$ and $2d_{1}$. $CO_{2}$ diffuses into the droplets from the surroundings. If the rate of diffusi...
0 0 answers
In soap manufacturing, the triglycerides present in oils and fats are hydrolyzed to mainly produceFatty acids and glycerolGlycerol onlyFatty acids onlyGlycerol and paraff...
0 0 answers
The chemical formula of Glauber’s salt, used in the Kraft process, is$Na_{2}CO_{3}.10H_{2}O$$Na_{2}S_{2}O_{4}.2H_{2}O$$Na_{2}HPO_{4}.2H_{2}O$$Na_{2}SO_{4}.10H_{2}O$
0 0 answers
Catalytic reforming is commonly used in the petroleum industry to improve fuel quality. The undesirable reaction in the catalytic reforming of naphtha isHydrocracking of ...
0 0 answers
A control system on the jacket side of a reactor is shown in the figure. Pressurized water flows through the jacket to cool the reactor. The heated water flashes in the b...
0 0 answers
Liquid flowing through a heat exchanger $\text{(HX)}$ is heated. A bypass stream is provided to control the temperature of the heated exit stream. From the given plumbing...
0 0 answers
The appropriate feedforward compensator, $G_{ff}$, in the shown block diagram is$G_{ff} = \dfrac{2}{3}\dfrac{\left ( 8s + 1\right )}{\left ( 5s + 1\right )}$$G_{ff} = -\d...
0 0 answers
Choose the option that correctly pairs the given measurement devices with the quantities they measure.$$\begin{array}{ccc} \hline\text{S No} & \text{Measurement Device} &...
0 0 answers
A simple distillation column is designed to separate an ideal binary mixture to specified distillate and bottoms purities at a given column pressure. It $RR_{\text{min}}$...
0 0 answers
The reaction $A \rightarrow B$ is carried out isothermally on a porous catalyst. The intrinsic reaction rate is $kC_{A}^{2}$, where $k$ is the rate constant and $C_{A}$ i...
0 0 answers
In an enzymatic reaction, an inhibitor $(I)$ competes with the substrate $(S)$ to bind with the enzyme $(E)$, thereby reducing the rate of product $(P)$ formation. The co...
0 0 answers
The area of a circular field is $25\: m^{2}$. The radius, $r$, is to be determined using the Newton-Raphson iterative method. For an initial guess of $r = 2.500\: m$, the...
0 0 answers
$5$ moles of liquid benzene, $8$ moles of liquid toluene and $7$ moles of liquid xylene are mixed at $25^{\circ}C$ and $1$ bar. Assuming the formation of an ideal solutio...
0 0 answers
A perfectly insulated double pipe heat exchanger is operating at steady state. Saturated steam enters the inner pipe at $100^{\circ}C$ and leaves as saturated water at $1...
0 0 answers
Consider steady-state diffusion in a binary $\text{A-B}$ liquid at constant temperature and pressure. The mole-fraction of $A$ at two different locations is $0.8$ and $0....
0 0 answers
Consider interphase mass transfer of a species $S$ between two immiscible liquids $A$ and $B$. The interfacial mass transfer coefficient ot $S$ in liquid $A$ is twice of ...