Recent questions tagged gate2016-ce-2

10 10 votes
6 answers 6 answers
If I were you, I _______ that laptop. It's much too expensive.won't buyshan't buywouldn't buywould buy
7 7 votes
4 answers 4 answers
He $\underline{\text{turned a deaf ear to}}$ my requestWhat does the underlined phrasal verb mean?ignoredappreciatedtwistedreturned
5 5 votes
4 answers 4 answers
Choose the most appropriate set of words from the options given below to complete the following sentence.________ _________ is a will, ________ is a way.Wear, there,...
7 7 votes
3 answers 3 answers
$(x\% \text{ of }y)$ + $(y\% \text{ of }x)$ is equivalent to ______ .$2\% \text{ of } xy$$2\% \text{ of } (xy/100)$$xy\% \text{ of } 100$$100\% \text{ of } xy$
7 7 votes
7 answers 7 answers
The sum of the digits of a two digit number is $12$. If the new number formed by reversing the digits is greater than the original number by $54$, find the original numbe...
7 7 votes
3 answers 3 answers
Two finance companies, $P$ and $Q$, declared fixed annual rates of interest on the amounts invested with them. The rates of interest offered by these companies may differ...
4 4 votes
2 answers 2 answers
Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the form of stone carved edicts. Historians tend to correlate greatness of a ...
14 14 votes
3 answers 3 answers
Fact $1:$ Humans are mammals.Fact $2:$ Some humans are engineers.Fact $3:$ Engineers build houses.If the above statement are facts, which of the following can be logicall...
13 13 votes
2 answers 2 answers
A square pyramid has a base perimeter $x$, and the slant height is half of the perimeter. What is the lateral surface area of the pyramid?$x^{2}$$0.75 \: x^{2}$$0.50 \: x...
27 27 votes
7 answers 7 answers
Ananth takes $6$ hours and Bharath takes $4$ hours to read a book. Both started reading copies of the book at the same time. After how many hours is the number of pages t...
0 0 votes
0 0 answers
The spot speeds (expressed in km/hr) observed at a road section are $66, 62, 45, 79, 32, 51, 56, 60, 53,$ and $49$. The median speed (expressed in km / hr) is ______(Note...
0 0 votes
0 0 answers
The optimum value of the function $f(x)=x^2-4x+2$ is$2$ (maximum)$2$ (minimum)$ – 2$ (maximum)$ – 2$ (minimum)
0 0 votes
0 0 answers
The Fourier series of the function,$\begin{array}{rll} f(x) & =0, & -\pi < x \leq 0 \\ {} & =\pi – x, & 0 < x < \pi \end{array}$in the interval $[- \pi, \pi ]$ is$f(x) = ...
0 0 votes
0 0 answers
$X$ and $Y$ are two random independent events. It is known that $P(X)=0.40$ and $P(X \cup Y^C)=0.7$. Which one of the following is the value of $P(X \cup Y)$?$0.7$$0.5$$0...
0 0 votes
0 0 answers
What is the value of $\underset{x \rightarrow 0 \\ y \rightarrow 0}{\lim} \dfrac{xy}{x^2+y^2}$?$1$$-1$$0$Limit does not exist
0 0 votes
0 0 answers
The kinematic indeterminacy of the plane truss shown in the figure is$11$$8$$3$$0$
0 0 votes
0 0 answers
As per $\text{IS } 456-2000$ for the design of reinforced concrete beam, the maximum allowable shear stress $(\tau_{\tau \text{max}})$ depends on thegrade of concrete and...
0 0 votes
0 0 answers
An assembly made of a rigid arm $A-B-C$ hinged at end $A$ and supported by an elastic rope $C-D$ at end $C$ is shown in the figure. The members may be assumed to be weigh...
0 0 votes
0 0 answers
As per Indian standards for bricks, minimum acceptable compressive strength of any class of burnt clay bricks in dry state is$10.0 \text{ MPa}$$7.5 \text{ MPa}$$5.0 \text...
0 0 votes
0 0 answers
A construction project consists of twelve activities. The estimated duration (in days) required to complete each of the activities along with the corresponding network di...
0 0 votes
0 0 answers
A strip footing is resting on the surface of a purely clayey soil deposit. If the width of the footing is doubled, the ultimate bearing capacity of the soilbecomes double...
0 0 votes
0 0 answers
The relationship between the specific gravity of sand $(G)$ and the hydraulic gradient $(i)$ to initiate quick condition in the sand layer having porosity of $30 \%$ is$G...
0 0 votes
0 0 answers
The results of a consolidation test on an undisturbed soil, sampled at a depth of $10 \: m$ below the ground level are as follows:$\begin{array}{lcl} \text{Saturated unit...
0 0 votes
0 0 answers
Profile of a weir on permeable foundation is shown in the figure I and an elementary profile of ‘upstream pile only case’ according to Khosla’s theory is shown in the fig...
0 0 votes
0 0 answers
Water table of an aquifer drops by $100$ cm over an area of $1000 \: km^2$. The porosity and specific retention of the aquifer material are $25 \%$ and $5\%$ respectively...
0 0 votes
0 0 answers
Group I contains the types of fluids while group II contains the shear stress – rate of shear relationship of different types of fluids, as shown in the figure.$$\begin{a...
0 0 votes
0 0 answers
The atmospheric layer closest to the earth surface isthe mesospherethe stratospherethe thermospherethe troposphere
0 0 votes
0 0 answers
A water supply board is responsible for treating $1500 \:m^3/day$ of water. A settling column analysis indicates that an overflow rate of $20 \: m/day$ will produce satis...
0 0 votes
0 0 answers
The hardness of a ground water sample was found to be $420 \: mg/L$ as $CaCO_3$. A softener containing ion exchange resins was installed to reduce the total hardness to $...
0 0 votes
0 0 answers
The sound pressure (expressed in $\mu P a$) of the faintest sound that a normal healthy individual can hear is$0.2$$2$$20$$55$
0 0 votes
0 0 answers
In the context of the $IRC \: 58-2011$ guidelines for rigid pavement design, consider the following pair of statements.Radius of relative stiffness is directly related to...
0 0 votes
0 0 answers
If the total number of commercial vehicles per day ranges from $3000$ to $6000$, the minimum percentage of commercial traffic to be surveyed for axle load is$15$$20$$25$$...
0 0 votes
0 0 answers
Optimal flight planning for a photogrammetric survey should be carried out consideringonly side-laponly end-lapeither side-lap or end-lapboth side-lap as well as end-lap
0 0 votes
0 0 answers
The reduced bearing of a $10 \: m$ long line is $N 30^{\circ}E$. The departure of the line is$10.00 \: m$$8.66 \: m$$7.52 \: m$$5.00 \: m$
0 0 votes
0 0 answers
A circular curve of radius R connects two straights with a deflection angle of $60^{\circ}$. The tangent length is$0.577 \: R$$1.155 \: R$$1.732 \:R$$3.464 \: R$
1 1 vote
0 0 answers
Consider the following linear system.$x+2y-3z=a$$2x+3y+3z=b$$5x +9y-6z=c$This system is consistent if $a, b$ and $c$ satisfy the equation$7a-b-c=0$$3a+b-c=0$$3a-b+c=0$$7a...
1 1 vote
0 0 answers
If $f(x)$ and $g(x)$ are two probability density functions,$f(x) = \begin{cases} \dfrac{x}{a}+1 & :-a \leq x < 0 \\ -\dfrac{x}{a}+1 & : 0 \leq x \leq a \\ 0 & :\text{oth...
0 0 votes
0 0 answers
The angle of intersection of the curves $x^{2}=4y$ and $y^{2} = 4x$ at point $(0,0)$ is$0^{\circ}$$30^{\circ}$$45^{\circ}$$90^{\circ}$
0 0 votes
0 0 answers
The area between the parabola $x^2=8y$ and the straight line $y=8$ is _______.
0 0 votes
0 0 answers
The quadratic approximation of $f(x)=x^3 – 3x^2 -5$ at the point $x=0$ is$3x^2 -6x-5$$-3x^2-5$$-3x^2+6x-5$$3x^2-5$