Recent questions tagged gate2017-ce-2

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Two plates od $8$ mm thickness each are connected by a fillet weld of $6$ mm thickness as shown in the figure. The permissible stresses in the plate and the weld are $150...
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Consider the portal frame shown in the figure and assume the modulus of elasticity, $E=2.5 \times 10^4$ MPa and the moment of inertia, $I= 8 \times 10^8 \: mm^4$ for all ...
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A $2$ m long, axially loaded mild steel rod of $8$ mm diameter exhibits the load-displacement $(P-\delta)$ behavior as shown in the figure.Assume the yield stress of stee...
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Consider a square shaped area ABCD on the ground with its centre at M as shown in the figure. Four concentrated vertical loads of $P=5000$ kN are applied on this area, on...
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The figure shows a U-tube having a $5 \: mm \times 5 mm$ square cross-section filled with mercury (specific gravity $13.6$) up to a height of $20 $ cm in each limb (open...
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A $1$ m wide rectangular channel carries a discharge of $2 \: m^3 /s$. The specific energy-depth diagram is prepared for the channel. It is observed in this diagram that ...
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A catchment is idealized as a $25 \: km \times 25 \: km$ square. It has five rain gauges, one at each corner and one at the corner, as shown in the figure.During a month,...
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The culturable command area of a canal is $10.000$ ha. The area grows only two crops – rice in the Kharif season and wheat in the Rabi season. The design discharge of the...
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Water is pumped at a steady uniform flow rate of $0.01 \: m^3/s$ through a horizontal smooth circular pipe of $100$ mm diameter. Given that the Reynolds number is $800$ a...
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The composition of a municipal solid waste sample is given below:$\begin{array}{|l|c|c|c|} \hline \text{Component} & \text{Percent by} & \text{Moisture Content} & \text{E...
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For a given water sample, the ratio between BOD$_{\text{5-day, 20}^{\circ} C}$ and the ultimate BOD is $0.68$. The value of the reaction rate constant $k$ (on base $e$) (...
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A municipal corporation is required to treat $1000 \: m^3/day$ of water. It is found that an overflow rate of $20 m/day$ will produce a satisfactory removal of the discre...
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The analysis of a water sample produces the following results:$\begin{array}{|c|c|c|} \hline \text{Ion} & \text{milligram per milli-equivalent} & \text{Concentration} \\ ...
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The radii of relative stiffness of the rigid pavements P and Q are denoted by $l_P$ and $l_Q$, respectively. The geometric and material properties of the concrete slab an...
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An observer standing on the deck of a ship just sees the top of a lighthouse. The top of the lighthouse is $40$ m above the sea level and the height of the observer’s eye...
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The points in the graph below represent the halts of a lift for a durations of $1$ minute, over a period of $1$ hour.Which of the following statements are correct?The ele...
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Budhan covers a distance of $19$ km in $2$ hours by cycling one fourth of the time and walking the rest. The next day he cycles (at the same speed as before) for half the...
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$P, Q, R, S, T$, and $U$ are seated around a circular table $R$ is seated two places to the right of $Q. \: P$ is seated three places to the left of $R. \: S$ is seated o...
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A map shows the elevations of Darjeeling, Gangtok, Kalimpong, Pelling, and Siliguri. Kalimpong is at a lower elevation than Gangtok, Pelling is at a lower elevation than...
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Bhaichung was observing the pattern of people entering and leaving a car service centre. There was a single window where customers were being served. He saw that people i...
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Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is$\dfrac{1}{9} \\$$\dfrac{...
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What is the value of $x$ when $81\times\left (\dfrac{16}{25} \right )^{x+2}\div\left (\dfrac{3}{5} \right )^{2x+4}=144?$$1$$-1$$-2$$\text{Can not be determined}$
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Four cards lie on table. Each card has a number printed on one side and a colour on the other. The faces visible on the cards are $2,3,$ red, and blue.Proposition: If a c...
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There was no doubt that their work was thorough.Which of the words below is closest in meaning to the underlined word above?prettycompletesloppyhaphazard
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The event would have been successful if you____________able to come.arehad beenhave beenwould have been