GATE

GATE

GATE 2011 : Examination Syllabus

:: MA-Mathematics ::

Linear Algebra: Finite dimensional vector spaces; Linear transformations and their matrix representations, rank; systems of

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GATE 2011 : Examination Syllabus

:: IT -Information Technology ::

ENGINEERING MATHEMATICS

Mathematical Logic: Propositional Logic; First Order Logic.

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GATE 2011 : Examination Syllabus

:: CS-Computer Science and Engineering ::

ENGINEERING MATHEMATICS

Mathematical Logic: Propositional Logic; First Order Logic.

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GATE 2011 : Examination Syllabus

:: CH-Chemical Engineering ::

ENGINEERING MATHEMATICS

Linear Algebra: Matrix algebra, Systems of linear equations, Eigen values and eigenvectors.

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GATE 2010 Results
Indian Institute of Technology (IIT)

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1.A beam of unpolarized light is first passed through a linear polarizer and then through a quarter-wave plate. The emergent beam is
(A) unpolarized (B) linearly polarized
(C) circularly polarized (D) elliptically polarized

2.A signal with frequency components 50Hz, 100Hz and 200Hz only is sampled at 150samples/s. The ideally reconstructed signal will have frequency component(s) of
(A) 50Hz only (B) 75Hz only
(C) 50Hz and 75Hz (D) 50Hz, 75Hz and 100Hz
3. The subroutine SBX given below is executed by an 8085 processor. The value in the accumulator immediately after the execution of the subroutine will be:
SBX : MVI A, 99h
ADI 11h
MOV C,A
RET
(A) 00h (B) 11h (C) 99h (D) AAh

4.H(z) is a discrete rational transfer function. To ensure that both H(z) and its inverse are stable its
(A) poles must be inside the unit circle and zeros must be outside the unit circle
(B) poles and zeros must be inside the unit circle
(C) poles and zeros must be outside the unit circle
(D) poles must be outside the unit circle and zeros should be inside the unit circle

5. The output voltage of a transducer with an output resistance of 10kΩ is connected to an amplifier. The minimum input resistance of the amplifier so thathe error in recording the transducer output does not exceed 2% is

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GATE Mechanical Engineer (ME) Paper 2010

1. Which of the following statements is INCORRECT?
(A) Grashof’s rule states that for a planar crank-rocker four bar mechanism, the
sum of the shortest and longest link lengths cannot be less than the sum of
the remaining two link lengths.
(B) Inversions of a mechanism are created by fixing different links one at a time.
(C) Geneva mechanism is an intermittent motion device
(D) Gruebler’s criterion assumes mobility of a planar mechanism to be one

2. Tooth interference in an external involute spur gear pair can be reduced by
(A) decreasing center distance between gear pair
(B) decreasing module
(C) decreasing pressure angle
(D) increasing number of gear teeth

3. For the stability of a floating body, under the influence of gravity alone, which of the following is TRUE?
(A) Metacentre should be below centre of gravity
(B) Metacentre should be above centre of gravity
(C) Metacentre and centre of gravity must lie on the same horizontal line
(D) Metacentre and centre of gravity must lie on the same vertical line

4. The maximum velocity of a one-dimensional incompressible fully developed viscous flow, between two fixed parallel plates, is 6ms-1. The mean velocity (in ms-1) of the flow is
(A) 2 (B) 3 (C) 4 (D) 5

5. A phenomenon is modeled using n dimensional variables with k primary dimensions. The number of non-dimensional variables is
(A) k (B) n (C) n-k (D) n+k

6.One kilogram of water at room temperature is brought into contact with a high temperature thermal reservoir. The entropy change of the universe is

(A) equal to entropy change of the reservoir
(B) equal to entropy change of water
(C) equal to zero
(D) always positive
7. A hydraulic turbine develops 1000kW power for a head of 40m. If the head is reduced to 20m, the power developed (in kW) is
(A) 177 (B) 354 (C) 500 (D) 707

8. The material property which depends only on the basic crystal structure is
(A) fatigue strength (B) work hardening
(C) fracture strength (D) elastic constant

9. In a gating system, the ratio 1:2:4 represents
(A) sprue base area: runner area: ingate area
(B) pouring basin area: ingate area: runner area
(C) sprue base area: ingate area: casting area
(D) runner area: ingate area: casting area

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Download GATE 2010 : Electrical Engineering (EE) Paper

1.An ammeter has a current range of 0 – 5 A, and its internal resistance is 0.2Ω . In order to change the range to 0 – 25 A, we need to add a resistance of
(A)0.8Ω in series with the meter (B) 1.0Ω in series with the meter
(C)0.04Ω in parallel with the meter (D) 0.05Ω in parallel with the meter

2.As shown in the figure, a negative feedback system has an amplifier of gain 100 with ±10% tolerance in the forward path, and an attenuator of value 9/100 in the feedback path. The overall system gain is approximately:

(A) 10±1%
(B) 10 ±2%
(C) 10 ±5%
(D) 10 ±10%

3.A three-phase, 33kV oil circuit breaker is rated 1200A, 2000MVA, 3s. The symmetrical breaking current is
(A) 1200 A (B) 3600 A (C) 35 kA (D) 104.8 kA

4.Assuming that the diodes in the given circuit are ideal, the voltage V 0 is
(A) 4V
(B) 5V
(C) 7.5V
(D) 12.12V

5. The fully controlled thyristor converter in the figure is fed from a single-phase source. When the firing angle is 0°, the dc output voltage of the converter is 300 V. What will be the output voltage for a firing angle of 60°, assuming continuous conduction?
(A) 150V
(B) 210V
(C) 300V
(D) 100πV

6.A box contains 4 white balls and 3 red balls. In succession, two balls are randomly selected and removed from the box. Given that the first removed ball is white, the probability that the second removed ball is red is
(A) 1/3 (B) 3/7 (C) 1/2 (D) 4/7

7.The armature resistance of the motor is,
(A)2Ω (B) 3.4Ω (C) 4.4Ω (D) 7.7Ω

8. 25 persons are in a room. 15 of them play hockey, 17 of them play football and 10 of them play both hockey and football. Then the number of persons playing neither hockey nor football is
(A) 2 (B) 17 (C)13 (D) 3  .. [..]

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1.Which languages necessarily need heap allocation in the runtime environment?
(A) Those that support recursion (B) Those that use dynamic scoping
(C) Those that allow dynamic data structures (D) Those that use global variables

2. One of the header fields in an IP datagram is the Time to Live (TTL) field. Which of the following statements best explains the need for this field?
(A) It can be used to prioritize packets
(B) It can be used to reduce delays
(C) It can be used to optimize throughput
(D) It can be used to prevent packet looping

3. Which one of the following is not a client server application?
(A) Internet chat (B) Web browsing (C) E-mail (D) Ping

4. Let L1 be a recursive language. Let L2 and L3 be languages that are recursively enumerable but not recursive. Which of the following statements is not necessarily true?
(A) L2 – L1 is recursively enumerable
(B) L1 – L3 is recursively enumerable
(C) L2 ∩ L1 is recursively enumerable

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