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GATE - 6

Mixed practice quiz covering electrical engineering, electronics, physics, quantitative aptitude, and logical reasoning - typical GATE exam format

15 Questions Published
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Questions

Question 1 Multiple Choice (Single Answer)

There are 400 cardboard boxes in a truck. Some of the boxes are large and some are small. The total mass of the boxes is 3540 kg. The mass of a large box is 12 kg and the mass of a small box is 5 kg. What is the ratio of the numbers of small boxes to large boxes?

  1. 9 : 20
  2. 11 : 9
  3. 9 : 11
  4. 20 : 9
  5. -
Question 2 Multiple Choice (Single Answer)

If % = division, ! = subtraction, # = addition and & = multiplication, find the value of 40 % 2 # 10 ! 12 & 15.

  1. - 762
  2. - 150
  3. 60
  4. 100
  5. -
Question 3 Multiple Choice (Single Answer)

Pointing to a photograph of a boy, Suresh said, "He is the son of the only son of my mother". How is Suresh related to that boy?

  1. Brother
  2. Father
  3. Uncle
  4. Cousin
  5. -
Question 4 Multiple Choice (Single Answer)

A direct voltage of 240 V is applied to a uniform 200 ohm resistor abc. A 40 ohm resistor is connected across the part ab. Find the resistance ab in order that 1 A flows in the 40 ohm resistor.

  1. 71.65 ohm
  2. 85.32 ohm
  3. 33.33 ohm
  4. 40 ohm
  5. -
Question 5 Multiple Choice (Single Answer)

Which of the following letters form a pattern?

  1. WNFS
  2. JKMP
  3. VTRP
  4. BZXW
  5. -
Question 6 Multiple Choice (Single Answer)

An ac signal of 1 V (rms) is applied to the grid of a triode for which (mu) u = 10 and plate resistance Rp = 15 k ohm. The signal frequency is low enough for the interelectrode capacitance to be negligible. The load impedance ZL = (2 + j 10) k ohm. Calculate voltage gain of the amplifier.

  1. 0.404
  2. 4.047
  3. 8.231
  4. 1.500
  5. -
Question 7 Multiple Choice (Single Answer)

An electron moves in X-Y plane with a speed of 10^6 m/s. Its velocity vector makes an angle of 60 degrees with the X axis. A magnetic field of magnitude 10-2 T exists along Y axis. Compute the magnitude force exerted on the electron and its direction.

  1. 9 x 109 Newton along Z axis
  2. 8 x 10-16 Newton along Z axis
  3. 3.204 x 10-15 Newton along Y axis
  4. 8 x 103 Newton along Y axis
  5. -
Question 8 Multiple Choice (Single Answer)

A copper wire of 2 mm diameter with conductivity of 5.8 x 107 s/m and electron mobility of 0.0032 m2/V-s is subjected to an electric field of 20 mV/m. Find the current flowing in the wire.

  1. 5.32 A
  2. 1.822 A
  3. 4.321 A
  4. 3.644 A
  5. -
Question 9 Multiple Choice (Single Answer)

In a P type semiconductor, Fermi level lies 0.39 eV above the valence band. Determine the new position of the Fermi level if the concentration of acceptor atoms is tripled. Assume kT = 0.026 eV

  1. 0.36 eV
  2. 1.24eV
  3. - 2.36 eV
  4. - 5.21 eV
  5. -
Question 10 Multiple Choice (Single Answer)

If the letters of the alphabet are the next multiple of 3, then what is the total value of ORGANISM?

Z is 3 and the previous letter is next multiple of 3.

  1. 360
  2. 525
  3. 288
  4. 150
  5. -
Question 11 Multiple Choice (Single Answer)

Samir covers a distance of 63 km towards East. Then, he turns towards left and walks for about 12 km. In which direction would he be if he turns 90 degrees towards left?

  1. North
  2. East
  3. East
  4. West
  5. -
Question 12 Multiple Choice (Single Answer)

In a row of chairs, one chair is 12th from either end of the row. How many chairs are there in the row?

  1. 42
  2. 24
  3. 23
  4. 49
  5. -
Question 13 Multiple Choice (Single Answer)

A box with 150 kg explosive material was found on a see-saw at children’s park. It needs to be balanced, otherwise it might touch the ground and explode. How much weight is required on the other side to balance the lever if it is exactly at the midpoint of the see-saw?

  1. 250 kg
  2. 70 kg
  3. 150 kg
  4. 75 kg
  5. -
Question 14 Multiple Choice (Single Answer)

If in a system, !,@,#,$,%,^,&,*,(,) correspond respectively to the digits 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 ,then find the value of @# - $! + %& - !@.

  1. $
  2. @&
  3. %@
  4. ^@
  5. -
Question 15 Multiple Choice (Single Answer)

A shopkeeper sold 12 kg of salt for Rs. 167 and had a loss of Rs. 14. The next day, he made a profit of Rs. 28 by selling 12 kg of salt for Rs. 300. At what cost did he buy salt on day-1 and day-2?

  1. Rs. 160 and Rs. 250, respectively
  2. Rs. 135 and Rs. 500, respectively
  3. Rs. 181 and Rs. 272, respectively
  4. Rs. 410 and Rs. 150, respectively
  5. -
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