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Recent questions tagged gate2018ce2
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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? $1$ $4$ $6$ $7$
asked
Feb 17, 2018
in
Verbal Ability
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gatecse
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gate2018ce2
generalaptitude
vebalability
verbalreasoning
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2
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
in
Numerical Ability
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gatecse
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3.9k
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gate2018ce2
generalaptitude
numericalability
logarithms
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3
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
in
Numerical Ability
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gatecse
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3.9k
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gate2018ce2
generalaptitude
numericalability
datainterpretation
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4
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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gatecse
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3.9k
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gate2018ce2
generalaptitude
numericalability
clock
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5
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
in
Numerical Ability
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gatecse
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3.9k
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gate2018ce2
generalaptitude
numericalability
profitloss
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6
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
in
Numerical Ability
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gatecse
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3.9k
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gate2018ce2
generalaptitude
numericalability
logarithms
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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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gatecse
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gate2018ce2
generalaptitude
numericalability
permutationandcombination
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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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gatecse
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3.9k
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gate2018ce2
generalaptitude
numericalability
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1
answer
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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gatecse
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3.9k
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gate2018ce2
generalaptitude
verbalability
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
in
Verbal Ability
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gatecse
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3.9k
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gate2018ce2
generalaptitude
vebalability
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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Others
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gate2018ce2
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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 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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gatecse
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gate2018ce2
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13
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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gatecse
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gate2018ce2
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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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gatecse
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3.9k
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gate2018ce2
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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 os done for 15 min per day. The maturation, which occurs ... 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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Others
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gatecse
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3.9k
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gate2018ce2
0
votes
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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 molecular weights of S ... , 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
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gate2018ce2
0
votes
1
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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 $30^oC$ 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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gatecse
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3.9k
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gate2018ce2
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 0.25mm, 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 turbulent ... 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
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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 $\phi_{index}$ for this storm (in cm/h, up to one decimal place) is ____
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gate2018ce2
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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
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21
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 cm $\times$ 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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3.9k
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gate2018ce2
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22
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 stresses ... angle of internal friction is $36^o$. 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
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23
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
0
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24
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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gatecse
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3.9k
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gate2018ce2
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25
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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gatecse
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3.9k
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gate2018ce2
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26
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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Feb 17, 2018
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3.9k
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gate2018ce2
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27
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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Feb 17, 2018
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gate2018ce2
0
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2
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28
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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Feb 17, 2018
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gate2018ce2
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29
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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Feb 17, 2018
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gate2018ce2
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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
asked
Feb 17, 2018
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gatecse
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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 16m from the truck. On fining a clear gap in the opposite traffic ... this period ( 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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Feb 17, 2018
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gatecse
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gate2018ce2
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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 coefficient of ... .01, 0.003 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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gate2018ce2
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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 $30^o$ 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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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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gate2018ce2
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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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gate2018ce2
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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
in
Linear Algebra
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gate2018ce2
matrixrank
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39
GATE2018 CE2: 27
The Laplace transform $F(s)$ of the exponential function, $f(t) = e^{at}$ when $t \geq 0$, where $a$ is a constant and $(sa) >0$, is $\frac{1}{s+a}$ $\frac{1}{sa}$ $\frac{1}{as}$ $\infty$
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gate2018ce2
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40
GATE2018 CE2: 26
The matrix $\begin{pmatrix} 2 & 4 \\ 4 & 2 \end{pmatrix}$ has real eigenvalues and eigenvectors real eigenvalues but complex eigenvectors complex eigenvalues but real eigenvectors complex eigenvalues and eigenvectors
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Feb 17, 2018
in
Linear Algebra
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matrix
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