Recent questions tagged gateme-2015-set1

if $a^2+b^2+c^2=1$ then $ab+bc+ac$ lies in the interval $[1,2/3]$ $[-1/2,1]$ $[-1,1/2]$ $[2,-4]$
A tiger is $50$ leaps of its own behind a tree.The tiger takes $5$ leaps per minute to the deer's $4$. If the tiger and the deer covers $8$ meter and $5$ meter per leap respectively,what distance in meters will the tiger have to run before it catches the deer?
Given below are two statements followed by two conclusions.Assuming these statements to be true,decide which one logically follows Statements: All film stars are playback singers. All film directors are film stars Conclusions: All film directors are playback ... director Only conclusion I follows Only conclusion II follows Neither conclusion I nor II follows both conclusion I nor II follows
In the following sentence certain parts are underlined and marked P,Q and R.One of the parts may contain certain error or may not be acceptable in standard written communication.select the part containing an error.choose D as your answer if there is no error. ... $P$ $Q$ $R$ no error
Ram and Ramesh appeared in an interview for two vacancies in the same department.The probability of Ram's selection is $1/6$ and of Ramesh is $1/8$.What is the pobabilty that only one of them will be selected? $47/48$ $1/4$ $13/48$ $35/48$
An electric bulb has onboard instruments that report the total electricity consumed since the start of the trip as well as the total distance covered.During a single day of operation,the bus travels on stretches M,N,O,and P, in that order.The cumulative distance travelled and the ... $km$ is minimum is $M$ $N$ $O$ $P$
What is the adverb for the given word below? Misogynous Misogynousness Misogynity Misogynously Misogynous
Choose the word most similar in meaning to the given word Awkward Inept Graceful Suitable Dreadful
Lamenting the gradual sidelining of the arts in school curricula, a group of prominent artists wrote to the chief minister last year, asking him to allocate more funds to support art education in schools. However, no such increase has been announced in this year's budget. The artists expressed their deep ... to arts education these days (iii) and (iv) (i) and (ii) (i),(ii) and (iii) (i) and (ii)
Choose the appropriate word/phrase, out of the four options given below,to complete the following sentence: Dhoni,as well as the other team members of Indian team,______present on the occasion were was has have
The velocity field of an incompressible flow is given by $V=(a_1x+a_2y+a_3z)i+(b_1x+b_2y+b_3z)j+(c_1x+c_2y+c_3z)z$, where $a_1$ = $2$ and $c_3$ = − $4$. The value of $b_2$ is ___________
Steam enters a well insulated turbine and expands isentropically throughout. At an intermediate pressure, $20$ percent of the mass is extracted for process heating and the remaining steam expands isentropically to $9 \: kPa$ ... $100$ $kg/s$, then the work output (in $MW$) is _________
A well insulated rigid container of volume $1 \: m^3$ contains $1.0 \: kg$ of an ideal gas $[C_p = 1000 \: J/(kg\cdot K)$ and $C_v=800 J/(kg \cdot K)]$ at a pressure of $105 \: Pa$. A stirrer is rotated at constant rpm in the container for $1000$ rotations and the applied torque is $100 \: N-m$. The final temperature of the gas (in $K$) is $500.0$ $773.0$ $785.4$ $1285.4$
Water $(\rho = 1000 \: kg/m^3)$ flows through a venturimeter with inlet diameter $80 \: mm$ and throat diameter $40 \: mm$. The inlet and throat gauge pressures are measured to be $400 \: kPa$ and $130 \: kPa$ respectively. Assuming the venturimeter to be horizontal and neglecting friction, the inlet velocity (in $m/s$) is _______
Air ($\rho$=$1.2 \: kg/m^3$ and kinematic viscosity, $V$ = $2 \times10^{−5}$ $m^2$/$s$) with a velocity of $2$ $m/s$ flows over the top surface of a flat plate of length $2.5$ $m$. If the average value of friction coefficient is $C_f=\dfrac{1.328}{\sqrt{Re_x}}$, the total drag force (in $N$) per unit width of the plate is _______
Temperature of nitrogen in a vessel of volume $2$ $m^3$ is $288$ $K$. A U-tube manometer connected to the vessel shows a reading of $70$ $cm$ of mercury (level higher in the end open to atmosphere). The universal gas constant is $8314$ $J$/$kmol$-$K$, atmospheric pressure is ... $m$/$s^2$ and density of mercury is $13600$ $kg$/$m^3$. The mass of nitrogen (in $kg$) in the vessel is _____________
A $10$ $mm$ diameter electrical conductor is covered by an insulation of $2\:mm$ thickness. The conductivity of the insulation is $0.08$ $W/m-K$ and the convection coefficient at the insulation surface is $10$ $W/m^2-K$. Addition of further ... decrease heat loss continuously increase heat loss to a maximum and then decrease heat loss decrease heat loss to a minimum and then increase heat loss
Match the following pairs: \begin{array}{|l|l|l|l|} \hline &\textbf{Equation} && \textbf{Physical Interpretation} \\ \hline P. & \nabla \times \overrightarrow{V}=0 & I. & \text{ Incompressible continuity equation} \\ \hline Q. & \nabla \bullet \overrightarrow{V}=0 & II. & \text{Steady flow} \\ \hline R. &\ ... $P-IV, Q-III, R-I, S-II$ $P-III, Q-I, R-IV, S-II$ $P-III, Q-I, R-II, S-IV$
For flow through a pipe of radius $R$, the velocity and temperature distribution are as follows: $u(r,x)=C_1,$, and $T(r,x)=C_2[1- \left (\dfrac{r}{R} \right )^3]$ where $C_1$ and $C_2$ ... the mean velocity of flow. The value of $T_m$ is $\dfrac{0.5C_2}{U_m} \\$ $0.5C_2 \\$ $0.6C_2 \\$ $\dfrac{0.6C_2}{U_m}$
A ball of mass $0.1 \text{ kg}$, initially at rest, is dropped from height of $1$m. Ball hits the ground and bounces off the ground. Upon impact with the ground, the velocity reduces by $20 \%$. The height (in $m$) to which the ball will rise is _______
A horizontal plate has been joined to a vertical post using four rivets arranged as shown in the figure. The magnitude of the load on the worst loaded rivet (in $N$) is _______
A precision instrument package $(m = 1 \: kg)$ needs to be mounted on a surface vibrating at $60 \: Hz$. It is desired that only $5\%$ of the base surface vibration amplitude be transmitted to the instrument. Assume that the isolation is designed with its natural frequency ... $N/m$) of the required mounting pad is _____
A cantilever beam with flexural rigidity of $200$ $N.m^2$ is loaded as shown in the figure. The deflection (in $mm$) at the tip of the beam is _______
A machine element is subjected to the following bi-axial state of stress: $\sigma _x$ = $80$ $MPa$; $\sigma _y$ = 20 MPa; $\tau _{xy}$ = $40$ $MPa$. If the shear strength of the material is $100$ $MPa$, the factor of safety as per Tresca’s maximum shear stress theory is $1.0$ $2.0$ $2.5$ $3.3$
A mobile phone has a small motor with an eccentric mass used for vibrator mode. The location of the eccentric mass on motor with respect to center of gravity (CG) of the mobile and the rest of the dimensions of the mobile phone are shown. The mobile is kept on a flat ... RPM for which the mobile will get just lifted off the ground at the end $Q$ is approximately $3000$ $3500$ $4000$ $4500$
A pinion with radius $r_1$, and inertia $I_1$ is driving a gear with radius $r_2$ and inertia $I_2$. Torque $\tau _1$ is applied on pinion. The following are free body diagrams of pinion and gear showing important forces ($F_1$ and $F_2$) of interaction. Which of the following relations ... $F_2=I_2\dfrac{1}{r_2}\ddot{\theta _1};$
For the truss shown in figure, the magnitude of the force in member PR and the support reaction at R are respectively $122.47$ $kN$ and $50$ $kN$ $70.71$ $kN$ and $100$ $kN$ $70.71$ $kN$ and $50$ $kN$ $81.65$ $kN$ and $100$ $kN$
Considering massless rigid rod and small oscillations, the natural frequency (in $rad/s$) of vibration of the system shown in the figure is $\sqrt{\dfrac{400}{1}} \\$ $\sqrt{\dfrac{400}{2}} \\$ $\sqrt{\dfrac{400}{3}} \\$ $\sqrt{\dfrac{400}{4}}$
In a slab rolling operation, the maximum thickness reduction $(Δℎ_{max}$) is given by $Δ_{max}$ = $\mu^2R$ , where $R$ is the radius of the roll and $\mu$ is the coefficient of friction between the roll and the sheet. If $\mu$ = $0.1$, the maximum angle subtended by the deformation zone at the centre of the roll (bite angle in degrees) is _______
The solidification time of a casting is proportional to $\left( \dfrac{V}{A} \right )^2$, where $V$ is the volume of the casting and $A$ is the total casting surface area losing heat. Two cubes of same material and size are cast using sand casting process. The top face of one of the cubes ... face insulated to that of the other cube is $\dfrac{25}{36} \\$ $\dfrac{36}{25} \\$ $1 \\$ $\dfrac{6}{5}$
An orthogonal turning operation is carried out under the following conditions: rake angle = $5^{\circ}$; spindle rotational speed = $400 \text{ rpm}$; axial feed = $0.4 \text{ m/min}$ and radial depth of cut = $5 \text{ mm}$. The chip thickness, $t_c$, is found to be $3 \text{ mm}$. The shear angle (in degrees) in this turning process is_____
The probability of obtaining at least two “SIX” in throwing a fair dice $4$ times is $425/432$ $19/144$ $13/144$ $125/432$
Find the solution of $\dfrac{d^2y}{dx^2}=Y$ which passes through the origin and the point $\left(\ln 2,\dfrac{3}{4}\right)$ $y=\dfrac{1}{2}e^x-e^{-x}$ $y=\dfrac{1}{2}(e^x+e^{-x})$ $y=\dfrac{1}{2}(e^x-e^{-x})$ $y=\dfrac{1}{2}e^x+e^{-x}$
Consider an ant crawling along the curve $(x-2)^2+y^2=4$ , where $x$ and $y$ are in meters. The ant starts at the point $(4, 0)$ and moves counter-clockwise with a speed of $1.57$ meters per second. The time taken by the ant to reach the point $(2, 2)$ is (in seconds) ____________
Consider a spatial curve in three-dimensional space given in parametric form by $x(t)= \cos t, \:y(t)=\sin t, z(t)=\dfrac{2}{\pi } t \: 0\leq t\leq \dfrac{\pi }{2}$ The length of the curve is _______
For a canteen, the actual demand for disposable cups was $500$ units in January and $600$ units in February. The forecast for the month of January was $400$ units. The forecast for the month of March considering smoothing coefficient as $0.75$ is ________
Following data refers to the activities of a project, where, node $1$ refers to the start and node $5$ ... critical path (CP) in the network is $1$-$2$-$3$-$5$ $1$-$4$-$3$-$5$ $1$-$2$-$3$-$4$-$5$ $1$-$4$-$5$
A triangular facet in a CAD model has vertices: $P1(0,0,0)$; $P2(1,1,0)$ and $P3(1,1,1)$. The area of the facet is $0.500$ $0.707$ $1.414$ $1.732$
A DC welding power source has a linear voltage-current ($V$-$I$) characteristic with open circuit voltage of $80$ $V$ and a short circuit current of $300$ $A$. For maximum arc power, the current (in Amperes) should be set as_________
In the assembly shown below, the part dimensions are: $L_1 = 22.0^{\pm 0.01} \: mm$, $L_2 = L_3$ = $10.0^{\pm 0.005} \: mm$. Assuming the normal distribution of part dimensions, the dimension $L_4$ in $mm$ for assembly condition would be: $2 .0^{\pm 0.008}$ $2 .0^{\pm 0.012}$ $2 .0^{\pm 0.016}$ $2 .0^{\pm 0.020}$