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Recent questions tagged gate2018ce2
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GATE2018 CE2: GA5
For nonnegative integers, $a, b, c$, what would be the value of $a+b+c$ if $\log a + \log b + \log c = 0$? $3$ $1$ $0$ $1$
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Feb 17, 2018
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Numerical Ability
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gate2018ce2
generalaptitude
numericalability
logarithms
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2
GATE2018 CE2: GA10
Each of the letters in the figure below represents a unique integer from $1$ to $9$. The letters are positioned in the figure such that each of $(A+B+C), (C+D+E), (E+F+G)$ and $(G+H+K)$ is equal to $13$. Which integer does $E$ represent? $1$ $4$ $6$ $7$
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Feb 17, 2018
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Verbal Ability
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gate2018ce2
generalaptitude
vebalability
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3
GATE2018 CE2: GA9
Given that $\frac{\log P}{yz} = \frac{\log Q}{zx} = \frac{\log R}{xy} = 10$ for $x \neq y \neq z$, what is the value of the product $PQR$? 0 1 $xyz$ $10^{xyz}$
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Feb 17, 2018
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Numerical Ability
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gatecse
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gate2018ce2
generalaptitude
numericalability
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4
GATE2018 CE2: GA8
The annual average rainfall in a tropical city is $1000$ mm. On a particular rainy day ($24$hour period), the cumulative rainfall experienced by the city is shown in the graph. Over the $24$hour period, $50$% of the rainfall falling on a rooftop, which had an ... a tank. What is the total volume of water collected in the tank litters? $25,000$ $18, 750$ $7,500$ $3.125$
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Feb 17, 2018
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Numerical Ability
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gatecse
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gate2018ce2
generalaptitude
numericalability
datainterpretation
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5
GATE2018 CE2: GA7
A faulty wall clock is known to gain $15$ minutes every $24$ hours. It is synchronized to the correct time at $9$ AM on $11$th July. What will be the correct time to the nearest minute when the clock shows $2$ PM on $15$th July of the same year? $12:45$ PM $12:58$ PM $1:00$ PM $2:00$ PM
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Feb 17, 2018
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Numerical Ability
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gate2018ce2
generalaptitude
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clock
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6
GATE2018 CE2: GA6
In manufacturing industries, loss is usually taken to be proportional to the square of the deviation from a target. If the loss is Rs. $4900$ for a deviation of $7$ units, what would be the loss in Rupees for a deviation of $4$ units from the target? $400$ $1200$ $1600$ $2800$
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Feb 17, 2018
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Numerical Ability
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3.9k
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gate2018ce2
generalaptitude
numericalability
profitloss
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7
GATE2018 CE2: GA4
A threemember committee has to be formed from a group of $9$ people. How many such distinct committees can be formed? $27$ $72$ $81$ $84$
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Feb 17, 2018
in
Numerical Ability
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gate2018ce2
generalaptitude
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8
GATE2018 CE2: GA3
$\underbrace{a+a+a+ \dots +a}_{\text{n times}}=a^2b$ and $\underbrace{b+b+b+ \dots +b}_{\text{m times}} = ab^2$, where $a, b, n, m$ are natural numbers. What is the value of $\Bigg( \underbrace{m+m+m+ \dots +m}_{\text{n times}} \Bigg) \Bigg( \underbrace{n+ n+ n+ \dots + n}_{\text{m times}} \Bigg)?$ $2a^{2}b^{2}$ $a^{4}b^{4}$ $ab(a+b)$ $a^{2}+b^{2}$
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Feb 17, 2018
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Numerical Ability
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3.9k
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gate2018ce2
generalaptitude
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1
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9
GATE2018 CE2: GA2
"Although it does contain some pioneering ideas, one would hardly characterize the work as _____." innovative simple dull boring
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Feb 17, 2018
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Verbal Ability
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gate2018ce2
generalaptitude
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mostappropriateword
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10
GATE2018 CE2: GA1
"His face ____ with joy when the solution of the puzzle was ___ to him." The words that best fill the blanks in the above sentence are shone, shown shone, shone shown, shone shown, shown
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Feb 17, 2018
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Verbal Ability
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gate2018ce2
generalaptitude
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englishgrammar
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11
GATE2018 CE2: 55
An aerial photographer of a terrain having an average elevation of $1400$ m is taken at a scale of $1:7500$. The focal length of the camera is $15$ cm. The altitude of the flight above mean sea level (in m, up to one decimal place) is ______
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Feb 17, 2018
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gate2018ce2
numericalanswers
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12
GATE2018 CE2: 54
A $7.5$ m wide twolane road on a plain terrain is to be laid along a horizontal curve of radius $510$ m. For a design speed of $100$ kmph, super elevation is provided as per $\text{IRC:}731980$. Consider acceleration due to gravity as $9.81 m/s^2$. The level difference between the inner and outer edges of the road (in m, upto three decimal places is ________
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Feb 17, 2018
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gate2018ce2
numericalanswers
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GATE2018 CE2: 53
The space mean speed (kmph) and density (vehicles/km) of a traffic stream are linearly related. The free flow speed and jam density are $80$ kmph and $100$ vehicles/km respectively. The traffic flow (in vehicles/h, up to one decimal place) corresponding to a speed of $40$ kmph is ____
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Feb 17, 2018
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gate2018ce2
numericalanswers
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14
GATE2018 CE2: 52
A schematic flow diagram of a completely mixed biological reactor with provision for recycling of solids shown in the figure. $S_0$, $S$ = readily biodegradable soluble BOD, mg/L $Q, \: Q_r, \: Q_w$ = flow rates $m^3/d$ ... (mixed liquor soils volatile suspended solids or MLVSS ), mg/l The mean cell residence time (in days, up to one decimal place) is _____
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Feb 17, 2018
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Others
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3.9k
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gate2018ce2
numericalanswers
0
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1
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15
GATE2018 CE2: 51
At a small water treatment plant which has $4$ filters, the rates of filteration and backwashing are $200 \: m^3/d/m^2$ and $1000 m^3/d/m^2$, respectively. Backwashing is done for $15$ min per day. The maturation, which ... the water being wasted during backwashing and maturation. The percentage increase in the filtered water produced (up to two decimal places) would be ______
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Feb 17, 2018
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gate2018ce2
numericalanswers
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16
GATE2018 CE2: 50
A coal containing $2 \%$ sulfur is burned completely to ash in a brick kiln at a rate of $30$ kg/min. The sulfur content in the ash was found to be $6 \%$ of the initial amount of sulfur present in the coal fed to the brick kiln. The ... /mole, respectively. The annual rate of sulfur dioxide $(SO_2)$ emission from the kiln (in tonnes/year, up to two decimal places) is ________
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Feb 17, 2018
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Others
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gatecse
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3.9k
points)
gate2018ce2
numericalanswers
0
votes
1
answer
17
GATE2018 CE2: 49
A flocculation tank contain $1800 \: m^3$ of water, which is mixed using paddles at an average velocity gradient $G$ of $100/s$. The water temperature and the corresponding dynamic viscosity are $30^{\circ}C$ and $0.798 \times 10^{3} \: Ns/m^2$, respectively. The theoretical power required to achieve the stated value of $G$ (in kW, up to two decimal places) is _____
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Feb 17, 2018
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Others
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3.9k
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gate2018ce2
numericalanswers
0
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1
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18
GATE2018 CE2: 48
A rough pipe of $0.5$ m diameter, $300$ m length and roughness height of $0.25$ mm, carries water (kinematic viscosity $= 0.9 \times 10^{6} \: m^2/s$) with velocity of $3$ m/s. Friction factor $(f)$ for laminar flow is given by $f=64/R_e$, and for ... k=roughness height and $g=9.81 \: m/s^2$. The head loss (in m, up to three decimal places) in the pipe due to friction is _______
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Feb 17, 2018
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gate2018ce2
numericalanswers
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19
GATE2018 CE2: 47
The total rainfall in a catchment of area $1000 \: km^2$, during a $6$ h storm, is $19$ cm. The surface runoff due to this storm computed from triangular direct runoff hydrograph is $ 1 \times 10^8 \: m^3$. The $\phi_{\text{index}}$ for this storm (in cm/h, up to one decimal place) is ____
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Feb 17, 2018
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gate2018ce2
numericalanswers
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20
GATE2018 CE2: 46
A threefluid system (immiscible) is connected to a vacuum pump. The specific gravity values of the fluids ($S_1, \: S_2$) are given in the figure. The gauge pressure value (in $kN/m^2$, up to two decimal places), of $p_1$ is _______
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gate2018ce2
numericalanswers
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21
GATE2018 CE2: 37
The value (up to two decimal places) of a line integral $\int_C \overrightarrow{F}(\overrightarrow{r}) . d\overrightarrow{r}$, for $ \overrightarrow{F}(\overrightarrow{r}) = x^2 \hat{i} + y^2 \hat{j} $ along $C$ which is a straight line joining $(0, 0)$ to $(1, 1)$ is _____
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22
GATE2018 CE2: 45
A group of nine piles in a $ 3 \times 3$ square pattern is embedded in a soil strata comprising dense sand underlying recently filled clay layer, as shown in the figure. The perimeter of a individual pile is $126$ cm. The size of pile group is $240$ ... of $16 \: kN/m^3$. The negative frictional load (in kN, up to two decimal places) acting on the pile group is _____
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Feb 17, 2018
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gate2018ce2
numericalanswers
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23
GATE2018 CE2: 44
The total horizontal and vertical stresses at a point X in a saturated sandy medium are $170$ kPa and $300$ kPa, respectively. The static porewater pressure is $30$ kPa. At failure, the excess porewater pressure is measured to be $94.50$ kPa, and the shear ... angle of internal friction is $36^{\circ}$. The shear strength (in kPa, up to two decimal places) at point X is _____
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Feb 17, 2018
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gate2018ce2
numericalanswers
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24
GATE2018 CE2: 43
The compression curve (void ratio $e$ vs. effective stress, $\sigma_v^{\text{'}}$ for a certain clayey soil is a straight line in a semilogarithmic plot and it passes through the points ($e = 1.2; \: \sigma_v=50 \: kPa$) and ($e = 0.6; \sigma_v = 800 \: kPa$). The compression index (up to two decimal places) of the soil is ______
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Feb 17, 2018
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gate2018ce2
numericalanswers
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25
GATE2018 CE2: 42
A cable PQ of length $25$ m is supported at two ends at the same level as shown in the figure. The horizontal distance between the supports is $20$ m. A point load of $150$ kN is applied at point R which divides into two equal parts. Neglecting the selfweight of the cable, the tension (in kN, in integer value) in the cable due to the applied load will be _______
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Feb 17, 2018
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gate2018ce2
numericalanswers
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26
GATE2018 CE2: 41
A $6$ m long simplysupported beam is prestressed as shown in the figure. The beam carries a uniformly distributed load of $6$ kN/m over its entire span. If the effective flexural rigidity $EI=2 \times 10^4 \: kNm^2$ and the effective prestressing force is $200$ kN, the net increase in length of the prestressing cable (in mm, up to two decimal places) is _____
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Feb 17, 2018
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gate2018ce2
numericalanswers
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27
GATE2018 CE2: 40
A prismatic propped cantilever beam of span $L$ and plastic moment capacity $M_p$ is subjected to a concentrated load at its midspan. If the collapse load of the beam is $\alpha \frac{M_p}{L}$, the value of $\alpha$ is ______
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28
GATE2018 CE2: 39
A prismatic beam PQR of flexural rigidity $EI = 1 \times 10^4 kNm^2$ is subjected to a momemnt of $180 kNm$ at Q as shown in the figure The rotation at Q (in rad. up to two decimal places is_____
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numericalanswers
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2
answers
29
GATE2018 CE2: 38
An $8$ m long simplysupported elastic beam of rectangular crosssection ($100$ mm $\times 200 $mm) is subjected to a uniformly distributed load of $10$ kN/m over its entire span. The maximum principal stress (in MPa, up to two decimal places) at a point located at the extreme compression edge of a crosssection and at $2$ m from the support is _______
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gate2018ce2
numericalanswers
0
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0
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30
GATE2018 CE2: 36
A level instrument at a height of $1.320$ m has been placed at a station having a Reduced Level (RL) of $112.565$ m. The instrument reads $2.835$ m on a levelling staff held at the bottom of a bridge deck. The RL (in m) of the bottom of the bridge deck is $116.720$ $116.080$ $114.080$ $111.050$
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Feb 17, 2018
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gate2018ce2
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31
GATE2018 CE2: 35
A car follows a slow moving truck (travelling at a speed of $10$ m/s) on a twolane twoway highway. The car reduces its speed to $10$ m/s and follows the truck maintaining a distance of $16$m from the truck. On fining a clear gap in the opposite traffic ... ( from the time it leaves its lane and subsequently returns to its lane after overtaking) is $64$ m $72$ m $128$ m $144$ m
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32
GATE2018 CE2: 34
In a $5$ m wide rectangular channel, the velocity $u$ distribution in the vertical direction $y$ is given by $u=1.25 y^{\frac{1}{6}}$. The distance $y$ is measured from the channel bed. If the flow depth is $2$ m, the discharge per unit width of the channel is $2.40 \: m^3/s/m$ $2.80 \: m^3/s/m$ $3.27 \: m^3/s/m$ $12.02 \: m^3/s/m$
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gate2018ce2
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33
GATE2018 CE2: 33
Three soil specimens (Soil $1$, Soil $2$ and Soil $3$), each $150$ mm long and $100$ mm diameter, are placed in series in a instant head flow setup as shown in the figure. Suitable screens are provided at the boundaries of the specimens to keep them intact. The values of ... and $0.03$ cm/s, respectively. The value of $h$ in the setup is $0$ mm $40$ mm $255$ mm $560$ mm
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34
GATE2018 CE2: 32
A $3$ m high vertical earth retaining wall retains a dry granular backfill with angle of internal friction of $30^{\circ}$ and unit weight of $20 \: kN/m^3$. If the wall is prevented from yielding (no movement), the total horizontal thrust (in kN per unit length) on the wall is $0$ $30$ $45$ $270$
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Feb 17, 2018
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gate2018ce2
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35
GATE2018 CE2: 31
A singlyreinforced rectangular concrete beam of width $30$ mm and effective depth $400$ mm is to be designed using $M25$ grade concrete and $Fe500$ grade reinforcing steel. For the beam to be underreinforced, the maximum number of $16$ mm diameter reinforcing bars that can be provided is, $3$ $4$ $5$ $6$
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36
GATE2018 CE2: 30
Four bolts P, Q, R and S of equal diameter are used for a bracket subjected to a load of $130$ kN as shown in the figure. The force in bolt P is $32.50$ kN $69.32$ kN $82.50$ kN $119.32$ kN
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37
GATE2018 CE2: 29
Two rigid bodies of mass $5$ kg and $4$ kg are at rest on a frictionless surface until acted upon by a force of $36$ N as shown in the figure. The contact force generated between the two bodies is $4.0$ N $7.2$ N $9.0$ N $16.0$ N
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38
GATE2018 CE2: 28
The rank of the following matrix is $\\ \begin{pmatrix} 1 & 1 & 0 & 2 \\ 2 & 0 & 2 & 2 \\ 4 & 1 & 3 & 1 \end{pmatrix}$ $1$ $2$ $3$ $4$
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Feb 17, 2018
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Linear Algebra
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matrixrank
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39
GATE2018 CE2: 21
As per $\text{IS }456:2000$, the minimum percentage of tension reinforcement (up to two decimal places) required in reinforcedconcrete beams of rectangular crosssection (considering effective depth in the calculation of area) using $Fe500$ grade steel is _____
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40
GATE2018 CE2: 20
The quadratic equation $2x^2  3x +3=0$ is to be solved numerically starting with an initial guess as $x_0=2$. The new estimate of $x$ after the first iteration using NewtonRaphson method is ___
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Feb 17, 2018
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Numerical Methods
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newtonraphsonmethod
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