NEW
New Website Launch
Experience the best way to solve previous year questions with mock tests (very detailed analysis), bookmark your favourite questions, practice etc...

## GATE ME 2007

Exam Held on Thu Jan 01 1970 00:00:00 GMT+0000 (Coordinated Universal Time)
Click View All Questions to see questions one by one or you can choose a single question from below.

## GATE ME

If a square matrix $$A$$ is real and symmetric then the eigen values
The number of linearly independent eigen vectors of $$\left[ {\matrix{ 2 &amp... The minimum value of function$$\,\,y = {x^2}\,\,$$in the interval$$\,\,\left[...
If $$\,\,\,y = x + \sqrt {x + \sqrt {x + \sqrt {x + .....\alpha } } } \,\,\,$$ t...
$$\mathop {Lim}\limits_{x \to 0} {{{e^x} - \left( {1 + x + {{{x^2}} \over 2}} \r... The area of a triangle formed by the tips of vectors$$\overrightarrow a ,\overr...
Let $$X$$ and $$Y$$ be two independent random variables. Which one of the relati...
The solution of $${{d\,y} \over {d\,x}} = {y^2}$$ with initial value $$y(0)=1$$ ...
The partial differential equation $$\,\,{{{\partial ^2}\phi } \over {\partial {x... If$$\phi (x,y)$$and$$\psi (x,y)$$are function with continuous 2<sup>nd</sup>... If$$F(s)$$is the Laplace transform of the function$$f(t)$$then Laplace trans... During inelastic collision of two particles, which one of the following is conse... A block of mass$$M$$is related from point$$P$$on a rough inclined plane with... Newton's law of viscosity states that the shear stress in a fluid is proportiona... Oil in a hydraulic cylinder is compressed from an initial volume$$2{m^3}$$to ... In a steady flow through a nozzle, the flow velocity on the nozzle axis is given... Which combination of the following statements about steady incompressible forced... Oil flows through a$$200mm$$diameter horizontal cast iron pipe (friction facto... Consider steady laminar incompressible axi-symmetric fully developed viscous flo... Consider an incompressible laminar boundary layer flow over a flat plate of leng... Consider a steady incompressible flow through a channel as shown below. <img cla... Consider a steady incompressible flow through a channel as shown below. <img cla... Consider steady one-dimensional heat flow in a plate of$$20mm$$thickness with ... Consider steady one-dimensional heat flow in a plate of$$20mm$$thickness with ... Building has to be maintained at$${21^ \circ }C$$(dry bulb) and$${14.5^ \circ...
The temp distribution within the Laminar thermal boundary layer over a heated is...
The average heat transfer coefficient on a thin hot vertical plate suspended in ...
In a counter flow heat exchanger, hot fluid enters at $${65^ \circ }C$$ and cold...
The maximum level of inventory of item is $$100$$ and it is achieved with infin...
In a machine shop, pins of $$15mm$$ diameter are produced at a rate of $$1000$$ ...
Capacities of production of an item over $$3$$ consecutive months in regular tim...
A thin spherical pressure vessel of $$200mm$$ diameter and $$1mm$$ thickness is ...
A bolted joint in shown below. The maximum shear stress, in $$MPa,$$ in bolts $$... A gear set has a pinion with$$20$$teeth and a gear with$$40$$teeth. The pini... A gear set has a pinion with$$20$$teeth and a gear with$$40$$teeth. The pini... A gear set has a pinion with$$20$$teeth and a gear with$$40$$teeth. The pini... A ball bearing operating at a load$$F$$has$$8000$$hours of life. The life of ... A natural feed journal bearing of diameter$$50mm$$and length$$50mm$$operatin... A block brake shows below has a free width of$$300mm$$and a mean coeffici... Which of the following engineering materials is the most suitable candidate for ... If a particular$$Fe$$-$$C$$alloy contains less than$$0.83$$% carbon, it is ca... A$$200mm$$long down sprue has an area of cross section of$$650m{m^2...
Volume of a cube of a side $$''l''$$ and volume of sphere of radius $$' r '$$ ar...
Match the correct combination for following metal working processes. <img class=...
The thickness of metallic sheet is reduced from an initial value of $$16mm$$ to ...
In open die forging, a disc of diameter $$200mm$$ height $$60mm$$ is compressed ...
Which of the following is a solid state welding process.
A $$DC$$ welding machine with a linear power source characteristic provides open...
Two metallic sheets, each of $$2.0$$ $$mm$$ thickness are welded in lap joint co...
A low carbon steel bar of $$147$$ $$mm$$ diameter with length of $$630$$ $$mm$$ ...
A low carbon steel bar of $$147$$ $$mm$$ diameter with length of $$630$$ $$mm$$ ...
In orthogonal turning of a low carbon steel bar of diameter $$150mm$$ with uncoa...
In orthogonal turning of medium carbon steel, the specific machining energy is $... In orthogonal turning of low carbon steel pipe with principal cutting edge angle... The force requirement in a blanking operation of low carbon steel sheet is $$5.0... A hole is specified as$${40^{\matrix{ {0.050} \cr {0.000} \cr } }}\... Which type of motor is used in axial or spindle drives of $$CNC$$ m/c tools A steel rod of length $$L$$ and diameter $$D$$, fixed at both ends, is uniformly... In a simply-supported beam loaded as shown below, the maximum bending moment in ... A disc of radius' r 'has a hole of radius 'r/2' cut-out as shown. The centroid o... A machine frame shown in the figure below is subjected to a horizontal force of ... A machine frame shown in the figure below is subjected to a horizontal force of ... A uniformly loaded propped cantilever beam and its free body diagram are shown b... A stepped steel shaft shown below is subjected to $$10$$ N-m torque. If the modu... A quick return mechanism is shown in below. The crank OS is drive at $$2$$ rev/s... The input link Q<sub>2</sub>P of a four bar linkage is rotated at $$2$$ rad/s co... A quick return mechanism is shown in below. The crank OS is drive at $$2$$ rev/s... The speed of an engine varies from $$210$$ rad/s to $$190$$ rad/s. During cycle ... For an under damped harmonic oscillator, resonance The equation of motion of a harmonic oscillator is given by $${{{d^2}x} \over {d... The natural frequency of the system shown below is <img class="question-image" ... Water has a critical specific volume of$$0.003155{m^3}/kg.$$A closed and ... A heat transformer is a device that transfers a part of the heat, supplied to it... An irreversible heat engine extracts heat from a high temperature source at a ra... Which of the following relationships is valid only for reversible process underg... Which combination of the following statements is correct? <p>The incorporation o... A model of a hydraulic turbine is tested at a head of$$1/{4^{th}}$$of that und... The inlet angle of runner blades of a Francis turbine is$${90^0}.$$The blades ... Match the items in columns$$I$$and$$II$$. <p><b>Column$$I$$</b> <br>$$P:$\$ C...

### Joint Entrance Examination

JEE Main JEE Advanced WB JEE

### Graduate Aptitude Test in Engineering

GATE CSE GATE ECE GATE EE GATE ME GATE CE GATE PI GATE IN

NEET

Class 12