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​​​​​If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [simmer $\rightarrow$ seethe $\rightarrow$ smolder] is analogous to [break ...

​​​​​On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time $12:05:00$ hours to $12: 55: 00$ hours?$51$...

​​​​​In the given text, the blanks are numbered $\text{(i)-(iv)}$. Select the best match for all the blanks.From the ancient Athenian arena to the modern Olympic stadiums...

​​​​​Three distinct sets of indistinguishable twins are to be seated at a circular table that has $8$ identical chairs. Unique seating arrangements are defined by the rel...

The chart given below compares the Installed Capacity (MW) of four power generation technologies, $\text{T}1, \text{T}2, \text{T}3$, and $\text{T}4$, and their Electricit...

During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be $89.85^{\circ}$, the ratio of th...

​​​​​The smallest positive root of the equation\[x^{5}-5 x^{4}-10 x^{3}+50 x^{2}+9 x-45=0\]lies in the range$0 < x \leq 2$$2 < x \leq 4$$6 \leq x \leq 8$$10 \leq x \leq 1...

​​​​​The second-order differential equation in an unknown function $u: u(x, y)$ is defined as\[\frac{\partial^{2} u}{\partial x^{2}}=2\]Assuming $g: g(x), f: f(y)$, and $...

​​​​​​The probability that a student passes only in Mathematics is $\frac{1}{3}$. The probability that the student passes only in English is $\frac{4}{9}$. The probabilit...

The three-dimensional state of stress at a point is given by\[\sigma=\left(\begin{array}{ccc}10 & 0 & 0 \\0 & 40 & 0 \\0 & 0 & 0\end{array}\right) \mathrm{MPa} .\]The max...

Concrete of characteristic strength $30 \mathrm{MPa}$ is required. If $40$ specimens of concrete cubes are to be tested, the minimum number of specimens having at least $...

Consider the statements $\text{P}$ and $\text{Q}$.$\text{P}$: Client's Preliminary Estimate is used for budgeting costs toward the end of planning and design phase.$\text...

The following figure shows the arrangement of formwork for casting a cantilever $\mathrm{RC}$ beam.The correct sequence of removing the Shores/Props is$\mathrm{S} 1 \righ...

Consider the statements $\text{P}$ and $\text{Q}$.$\text{P}$: Soil particles formed by mechanical weathering, and close to their origin are generally subrounded.$\text{Q}...

The number of degrees of freedom for a natural open channel flow with a mobile bed is$2$$3$$4$$5$

​​​​​The following table gives various components of Municipal Solid Waste (MSW) and a list of treatment/separation techniques.\begin{array}{|l|l|}\hline \text{Component ...

A car is travelling at a speed of $60 \mathrm{~km} / \mathrm{hr}$ on a section of a National Highway having a downward gradient of $2 \%$. The driver of the car suddenly ...

​​​​​As per the International Civil Aviation Organization (ICAO), the basic runway length is increased by $x(\%)$ for every $y(\mathrm{~m})$ raise in elevation from the M...

Which one of the following statements related to bitumen is FALSE?Kinematic viscosity is a measure of resistance to the flow of molten bitumen under gravity.Softer grade ...

​​​​​If the number of sides resulting in a closed traverse is increased from three to four, the sum of the interior angles increases by$90^{\circ}$$180^{\circ}$$270^{\cir...

​​​​​​For the following partial differential equation,\[x \frac{\partial^{2} f}{\partial x^{2}}+y \frac{\partial^{2} f}{\partial y^{2}}=\frac{x^{2}+y^{2}}{2}\]which of th...

The primary air pollutant(s) is/areSulfur dioxideLeadOzoneSulphuric acid

An embankment is constructed with soil by maintaining the degree of saturation as $75 \%$ during compaction. The specific gravity of soil is 2.68 and the moisture content...

A $30 \mathrm{~cm}$ diameter well fully penetrates an unconfined aquifer of saturated thickness $20 \mathrm{~m}$ with hydraulic conductivity of $10 \mathrm{~m} /$ day. Un...

The free mean speed is $60 \mathrm{~km} / \mathrm{hr}$ on a given road. The average space headway at jam density on this road is $8 \mathrm{~m}$. For a linear speed-densi...