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Question Bank

Question for GATE Instrumentation Engineering - Quiz / Questions / MCQ in English

Last Update on : October 10, 2026

Duration: 180 · Questions: 65 · Max Marks: 65

View GATE Instrumentation Engineering 2027 Exam Page

To boost your performance in GATE Instrumentation Engineering exam, practice each question regularly and with focus. Every question tests your subject understanding, so solve them one at a time. Taking a quiz improves your speed and accuracy. Practicing topic-wise MCQs. Students benefit greatly from reviewing questions with answer keys, which help clarify concepts and strengthen Questions knowledge for success in GATE Instrumentation Engineering exams.

Latest GATE Instrumentation Engineering Exam Question (Objective Questions), MCQ in English

Subjects : General Aptitude, Engineering Mathematics, Instrumentation Engineering

Question Bank GATE Instrumentation Engineering Exam (Only MCQ ) - English

General Aptitude

Q 1 :
Inhaling the smoke from a burning _____ could _____ you quickly.
  1. A.tire/tier
  2. B.tire/tyre
  3. C.tyre/tire
  4. D.tyre/tier
Q 2 :
The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is :
  1. A.15
  2. B.16
  3. C.18
  4. D.25
Q 3 :
Pipes P and Q can fill a storage tank full of water in 10 and 6 minutes, respectively. Pipe R draws the water out from the storage tank at a rate of 34 litres per minute. P, Q and R operate at a constant rate. If it takes one hour to completely empty a full storage tank with all the pipes operating simultaneously, what is the capacity of the storage tank (in litres) ? 
  1. A.26.8 
  2. B.60.0 
  3. C.120.0
  4. D.127.5
Q 4 :
Choose the grammatically correct sentence?
  1. A.Neither of the robots are functioning properly
  2. B.Neither robots is functioning properly
  3. C.Neither of the robot are functioning properly
  4. D.Neither of the robots is functioning properly
Q 5 :
Choose the correct form to complete the sentence: “By the time the engineer arrived, the robotic arm _____ its assigned operation”?
  1. A.completes
  2. B.has completed
  3. C.had completed
  4. D.was complete

Engineering Mathematics

Q 6 :
Consider the following expression :
where z, y, and t are variables, and   is a complex number. The partial differential equation derived from the above expression is
    Q 7 :
    For the equation
    the correct description is
    1. A.
      an ordinary differential equation of order 3 and degree 2 
    2. B.
      an ordinary differential equation of order 3 and degree 3 
    3. C.
      an ordinary differential equation of order 2 and degree 3 
    4. D.an ordinary differential equation of order 3 and degree â€‹
    Q 8 :
    The value of (1 + i)12, where â€‹ , is.
    1. A.
      – 64 i 
    2. B.
      64 i
    3. C.64 
    4. D.– 64
    Q 9 :
    If (A=\begin{bmatrix}1&2\3&4\end{bmatrix}), what is (\det(A))?
    1. A.2
    2. B.(-2)
    3. C.5
    4. D.10
    Q 10 :
    If (A) is a (3\times3) matrix with (\det(A)=5), what is (\det(2A))?
    1. A.10
    2. B.40
    3. C.20
    4. D.80

    Instrumentation Engineering

    Q 11 :
    According to Coulomb’s law, the electrostatic force between two point charges is proportional to which quantity?
    1. A.Sum of the charges
    2. B.Product of the charges
    3. C.Difference of the charges
    4. D.Square root of the charges
    Q 12 :
    The electrostatic force between two point charges varies with their separation (r) as which relation?
    1. A.(1/r^2)
    2. B.(1/r)
    3. C.(r)
    4. D.(r^2)
    Q 13 :
    What is the SI unit of electric field intensity?
    1. A.C/m
    2. B.V·m
    3. C.V/m
    4. D.C·m
    Q 14 :
    What is the SI unit of electric flux density (D)?
    1. A.C/m
    2. B.V/m
    3. C.C/m²
    4. D.N/C²
    Q 15 :
    Electric field intensity (E) and electric flux density (d) in a linear isotropic medium are related by which expression?
    1. A.(D=\mu E)
    2. B.(D=\sigma E)
    3. C.(D=\epsilon E)
    4. D.(D=E/\epsilon)
    Q 16 :
    What is the permittivity of free space approximately equal to?
    1. A.(8.854\times10^{-12}) F/m
    2. B.(1.257\times10^{-6}) F/m
    3. C.(9\times10^9) F/m
    4. D.(1.602\times10^{-19}) F/m
    Q 17 :
    What is the value of Coulomb’s constant (1/(4\pi\epsilon_0)) approximately?
    1. A.(1.26\times10^{-6}) N·m²/C²
    2. B.(8.85\times10^{-12}) N·m²/C²
    3. C.(8.99\times10^9) N·m²/C²
    4. D.(3\times10^8) N·m²/C²
    Q 18 :
    Two identical positive point charges are placed near each other. What is the direction of force between them?
    1. A.Repulsive along their joining line
    2. B.Attractive along their joining line
    3. C.Perpendicular to their joining line
    4. D.Tangential to a circle through them
    Q 19 :
    Two point charges of opposite signs are placed near each other. What type of electrostatic force acts between them?
    1. A.Repulsive force
    2. B.Tangential force
    3. C.Attractive force
    4. D.Zero force
    Q 20 :
    If the separation between two point charges is doubled, what happens to the Coulomb force?
    1. A.It becomes half
    2. B.It becomes twice
    3. C.It becomes one-fourth
    4. D.It becomes four times
    Q 21 :
    If both point charges are doubled while their separation remains unchanged, what happens to the electrostatic force?
    1. A.It doubles
    2. B.It quadruples
    3. C.It triples
    4. D.It remains unchanged
    Q 22 :
    Electric field intensity at a point is defined as which quantity?
    1. A.Charge per unit surface area
    2. B.Energy per unit positive test charge
    3. C.Force per unit positive test charge
    4. D.Flux per unit volume
    Q 23 :
    What is the electric field produced by an isolated positive point charge directed toward?
    1. A.Radially inward
    2. B.Radially outward
    3. C.Circumferentially clockwise
    4. D.Circumferentially anticlockwise
    Q 24 :
    What is the electric field produced by an isolated negative point charge directed toward?
    1. A.Tangentially outward
    2. B.Radially outward
    3. C.Radially inward
    4. D.Normally away from the charge
    Q 25 :
    What is the magnitude of electric field at distance (r) from a point charge (Q) in free space?
    1. A.(Q/(4\pi\epsilon_0r))
    2. B.(Q/(2\pi\epsilon_0r))
    3. C.(Q/(4\pi\epsilon_0r^2))
    4. D.(Q/(2\pi\epsilon_0r^2))
    Q 26 :
    The principle of superposition for electric fields states that the resultant field equals which quantity?
    1. A.Vector sum of individual fields
    2. B.Scalar product of individual fields
    3. C.Average of individual fields
    4. D.Maximum individual field
    Q 27 :
    What is the electric potential at distance (r) from an isolated point charge (Q) in free space, taking zero potential at infinity?
    1. A.(Q/(4\pi\epsilon_0r))
    2. B.(Q/(4\pi\epsilon_0r^2))
    3. C.(Qr/(4\pi\epsilon_0))
    4. D.(Qr^2/(4\pi\epsilon_0))
    Q 28 :
    What is the SI unit of electric potential?
    1. A.Ampere
    2. B.Weber
    3. C.Tesla
    4. D.Volt
    Q 29 :
    Electric field intensity is related to electric potential by which expression?
    1. A.(E=\nabla V)
    2. B.(E=\nabla\times V)
    3. C.(E=-\nabla V)
    4. D.(E=-\nabla\times V)
    Q 30 :
    What is the work done in moving a charge along an equipotential surface in an electrostatic field?
    1. A.Maximum
    2. B.Minimum but nonzero
    3. C.Zero
    4. D.Infinite
    Q 31 :
    Electric field lines intersect equipotential surfaces at what angle?
    1. A.(0^\circ)
    2. D.(30^\cir
    Q 32 :
    What is the electric field inside a conductor under electrostatic equilibrium?
    1. A.Uniform and finite
    2. B.Proportional to conductivity
    3. C.Infinite
    4. D.Zero
    Q 33 :
    Under electrostatic equilibrium, excess charge on an isolated conductor resides where?
    1. A.At its center
    2. B.Throughout its volume uniformly
    3. C.On its surface
    4. D.Only at its lowest point
    Q 34 :
    The potential throughout a conductor in electrostatic equilibrium has what characteristic?
    1. A.It varies quadratically
    2. B.It varies linearly
    3. C.It is constant
    4. D.It is always zero
    Q 35 :
    Gauss’s law states that the total electric flux through a closed surface equals which quantity?
    1. A.Enclosed charge divided by permittivity
    2. B.Enclosed charge multiplied by permittivity
    3. C.Surface charge multiplied by area
    4. D.Electric potential divided by permittivity
    Q 36 :
    Which mathematical expression represents Gauss’s law in integral form using (D)?
    1. A.(\oint_S D\cdot dl=Q_{\text{enc}})
    2. B.(\oint_S D\times dS=Q_{\text{enc}})
    3. C.(\oint_S D\cdot dS=Q_{\text{enc}})
    4. D.(\oint_S D\times dl=Q_{\text{enc}})
    Q 37 :
    Which differential equation represents Gauss’s law?
    1. A.(\nabla\times D=\rho_v)
    2. B.(\nabla^2D=\rho_v)
    3. C.(\nabla D=\rho_v^2)
    4. D.(\nabla\cdot D=\rho_v)
    Q 38 :
    What does the divergence of electric flux density (d) represent?
    1. A.Volume charge density
    2. B.Surface charge density
    3. C.Line charge density
    4. D.Electric potential
    Q 39 :
    What is the SI unit of volume charge density?
    1. A.C/m
    2. B.C/m²
    3. C.C·m
    4. D.C/m³
    Q 40 :
    What is the SI unit of surface charge density?
    1. A.C/m
    2. B.C·m²
    3. C.C/m³
    4. D.C/m²
    Q 41 :
    What is the SI unit of line charge density?
    1. A.C/m²
    2. B.C/m
    3. C.C/m³
    4. D.C·m
    Q 42 :
    The electric field due to an infinitely long line charge varies with radial distance (\rho) according to which relation?
    1. A.(1/\rho^2)
    2. B.(1/\rho)
    3. C.(\rho)
    4. D.(\rho^2)
    Q 43 :
    What is the electric field magnitude at distance (\rho) from an infinite line charge of density (\lambd
    1. D.in a medium of permittivity (\epsilon)?
    Q 44 :
    What is the magnitude of electric field produced by an infinite sheet carrying uniform surface charge density (\rho_s) in a homogeneous medium?
    1. A.(\rho_s/\epsilon)
    2. B.(2\rho_s/\epsilon)
    3. C.(\rho_s/(4\epsilon))
    4. D.(\rho_s/(2\epsilon))
    Q 45 :
    How does the electric field magnitude due to an infinite uniformly charged plane vary with perpendicular distance?
    1. A.It decreases as (1/r)
    2. B.It decreases as (1/r^2)
    3. C.It remains constant
    4. D.It increases linearly
    Q 46 :
    Two infinite parallel sheets have equal and opposite surface charge densities. What is the electric field outside the two-sheet system?
    1. A.(\rho_s/\epsilon)
    2. B.Zero
    3. C.(\rho_s/(2\epsilon))
    4. D.(2\rho_s/\epsilon)
    Q 47 :
    What is the electric field between two infinite oppositely charged sheets having surface charge densities (+\rho_s) and (-\rho_s)?
    1. A.(\rho_s/(2\epsilon))
    2. B.(\rho_s/\epsilon)
    3. C.(\rho_s/(4\epsilon))
    4. D.(2\rho_s/\epsilon)
    Q 48 :
    What is the electric field inside a uniformly charged thin spherical shell?
    1. A.Zero
    2. B.Constant and nonzero
    3. C.Proportional to radius
    4. D.Inversely proportional to radius
    Q 49 :
    Outside a uniformly charged spherical shell, its electric field is equivalent to that produced by which charge distribution?
    1. A.A ring charge along its equator
    2. B.A line charge along its diameter
    3. C.A plane charge through its center
    4. D.A point charge of equal total charge at its center
    Q 50 :
    Inside a uniformly charged solid sphere, how does electric field magnitude vary with distance (r) from the center?
    1. A.As (1/r)
    2. B.As (1/r^2)
    3. C.Linearly with (r)
    4. D.Independently of (r)

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