One Stop GATE Forum: GATE – Sample Questions

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No.
          Question

          1
          Stokes theorem connects

          Options

                  A) a line integral and a surface integral
                  B) a surface integral and a volume integral

                  C) a line integral and a volume integral

                  D) gradient of a function and its surface integral

          Your Answer
             (Not
            Answered)

          Correct Answer
          A

          2
          Match the following

Type of
Mechanism                        
Motion achieved

            P. Scott — Russel mechanism       1.
            Intermittent motion

Q. Geneva
mechanism                  
2. Quick return motion

            R. Off-set slider-crank mechanism 3. Simple harmonic motion

            S. Scotch Yoke mechanism          
            4. Straight line motion

          Options

                  A) P-2 Q-3 R-l S-4

                  B) P-3 Q-2 R-4 S-l

                  C) P-4 Q-l R-2 S-3

                  D) P-4 Q-3 R-l S-2

          Your Answer
             (Not
            Answered)

          Correct Answer
          C

          3
          A solar collector receiving solar radiation at
            the rate of 0.6 k W/m² transforms it to the internal
            energy of a fluid at an overall efficiency of 50%. The fluid heated
            to 350 K is used to run a heat engine which rejects heat at 313 K.
            If the heat engine is to deliver 2.5 kW power, the minimum area of
            the solar collector required would be

          Options

                  A) 8.33m²  
                  B) 16.66m²

                  C) 39.68m² 
                  D) 79.36m²

          Your Answer
             (Not
            Answered)

          Correct Answer
          D

          4
          When the temperature of a solid metal
            increases,

          Options

                  A) strength of the metal decreaes but ductility
                    increases

                  B) both strength and ductility of the metal
                    decrease

                  C) both strength and ductility of the metal
                    increase
                  D) strength of the metal increases but ductility
                    decreases

          Your Answer
             (Not
            Answered)

          Correct Answer
          A

          5
           A company produces two types of toys: P
            and Q. Production time of Q is twice that of P and the company has a
            maximum of 2000 time units per day. The supply of raw material is
            just sufficient to produce 1500 toys (of any type) per day. Toy type
            Q requires an electric switch which is available @ 600 pieces per
            day only. The company makes a profit of Rs. 3 and Rs. 5 on type P
            and Q respectively. For maximization of profits, the daily
            production quantities of P and Q toys should respectively be

          Options

                  A) 100, 500 
                  B) 500, 1000

                  C) 800, 600 
                  D) 1000, 1000

          Your Answer
             (Not
            Answered)

          Correct Answer
          C

          6
          A spherical thermocouple junction of diameter
            0.706 mm is to be used for the measurement of temperature of a gas
            stream. The convective heat transfer co-efficient on the bead
            surface is 400 W/m²K. Thermophysical properties of
            thermocouple material are k = 20 W/mK, C = 400 J/kg K and r =
            8500 kg/m³. If the thermocouple initially tot 30°C is
            placed in a hot stream of 300°C, the time taken by the bead to
            reach 298°C, is

          Options

                  A) 2.35 s 
                  B) 4.9 s

                  C) 14.7 s 
                  D) 29.4 s

          Your Answer
             (Not
            Answered)

          Correct Answer
          B

          7
          In a spring-mass system, the mass is 0.1 kg and
            the stiffness of the spring is 1 kN/m. By introducing a damper, the
            frequency of oscillation is found to be 90% of the original value.
            What is the damping coefficient of the damper?

          Options

                  A) 1.2 N.s/m 
                  B) 3.4 N.s/m

                  C) 8.7 N.s/m
                  D) 12.0 N.s/m

          Your Answer
             (Not
            Answered)

          Correct Answer
          C

          8
          In a machining operation, doubling the cutting
            speed reduces the tool life to

                  1

                  8

             of the original value. The exponent n in Taylor

          Options

                  A)

                          1

                          8

                  B)

                          1

                          4

                  C)

                          1

                          3

                  D)

                          1

                          2

          Your Answer
             (Not
            Answered)

          Correct Answer
          C

          9
          In a rolling process, sheet of 25 mm thickness
            is rolled to 20 mm thickness. Roll is of diameter 600 mm and it
            rotates at 100 rpm. The roll strip contact length will be

          Options

                  A) 5 mm 
                  B) 39 mm

                  C) 78mm
                  D) 120mm

          Your Answer
             (Right
            Answer)

          10

            The values of a function f(x) are tabulated below

            x                  
            f(x)

            0                   
            1

            1                   
            2

            2                   
            1

            3                 
            10

            Using Newton^,s forward difference formula, the cubic
            polynomial that can be fitted to the above data, is

          Options

                  A) 2x³ +
                    7x² - 6x + 2
                  B)
                    2x³ – 7x² + 6x - 2

                  C)
                    x³ - 7x² – 6x2 + 1

                  D)
                    2x³ - 7x² + 6x + 1

          Your Answer
             (Right
            Answer)

          11
          Two tools P and Q have signatures 5°-5°-6°-6°-8°-30°-0
            and 5°-5°-7°-7°-8°-15°-0 (both ASA) respectively. They are
            used to turn components under the same machining conditions. If hp
            and hQ denote the peak-to-valley heights of surfaces produced by the
            tools P and Q, the ratio hp/hQ will be

          Options

                  A)
                  B)

                  C)
                  D)

          Your Answer
             (Right
            Answer)

          12

            A soldering operation was work-sampled over two days (16 hours)
            during which an employee soldered 108 joints. Actual working time
            was 90% of the total time and the performance rating was estimated
            to be 120 percent. If the contract provides allowance of 20 percent
            of the total time available, the standard time for the operation
            would be

          Options

                  A) 8min.
                  B) 8.9 min.

                  C) 10 min
                  D) 12 min.

          Your Answer
             (Not
            Answered)

          Correct Answer
          D

          13
          A welding operation is time-studied during
            which an operator was pace-rated as 120%. The operator took, on an
            average, 8 minutes for producing the weld-joint. If a total of 10%
            allowances are allowed for this operation, the expected standard
            production rate of the weld-joint (in units per 8 hour day) is

          Options

                  A) 45
                  B) 50

                  C) 55
                  D) 60

          Your Answer
             (Not
            Answered)

          Correct Answer
          A

          14

            In PERT analysis a critical activity has

          Options

                  A) maximum Float 
                  B) zero Float

                  C) maximum Cost 
                  D) minimum Cost

          Your Answer
             (Not
            Answered)

          Correct Answer
          B

          15
          Through holes of 10 mm diameter are to be
            drilled in a steel plate of 20 mm thickness. Drill spindle speed is
            300 rpm, feed 0.2 mm/rev and drill point angle is 120°. Assuming
            drill overtravel of 2 mm, the time for producing a hole will be

          Options

                  A) 4 Seconds 
                  B) 25 seconds

                  C) 100 seconds 
                  D) 110 seconds

          Your Answer
             (Right
            Answer)

          16
          Environment friendly refrigerant R134_a
            is used in the new generation domestic refrigerators. Its chemical
            formula is

          Options

                  A) CH C1 F₂ 
                  B) C₂C1₃F₃

                  C) C₂ C1₂ F₄ 
                  D) C₂H₂F₄

          Your Answer
             (Not
            Answered)

          Correct Answer
          D

          17

            A standard machine tool and an automatic machine tool are being
            compared for the production of a component. Following data refers to
            the two machines.

                    Standard
                    Machine Tool

                    Automatic
                    Machine Tool

                  Setup time
                  30 min.
                  2 hours

                  Machining time per piece
                  22 min.
                  5min

                  Machine rate
                  Rs. 200 per hour
                  Rs. 800 per hour

The breakeven production batch size above which the automatic
            machine tool will be economical to use, will be

          Options

                  A) 4 
                  B) 5

                  C) 24
                  D) 225

          Your Answer
             (Right
            Answer)

          18
          The mechanism of material removal in EDM
            process is

          Options

                  A) Melting and Evaporation 
                  B) Melting and Corrosion

                  C) Erosion and Cavitation 
                  D) Cavitation and Evaporation

          Your Answer
             (Not
            Answered)

          Correct Answer
          A

          19
          From a pack of regular playing cards, two cards
            are drawn at random. What is the probability that both cards will be
            Kings, if the first card is NOT replaced?

          Options

                  A)

                          1

                          26

                  B)

                          1

                          52

                  C)

                          1

                          169

                  D)

                          1

                          221

          Your Answer
             (Not
            Answered)

          Correct Answer
          D

          20
          The strength of a brazed joint

          Options

                  A) decreases with increase in gap between the two
                    joining surfaces
                  B) increases with increase in gap between the two
                    joining surfaces

                  C) decreases up to certain gap between the two
                    joining surfaces beyond which it increases
                  D) increases up to certain gap between the two
                    joining surfaces beyond which it decreases

          Your Answer
             (Not
            Answered)

          Correct Answer
          D


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