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Objective Questions

Latest ONGC Graduate Trainee Mechanical Engineering Exam Question (Objective Questions), MCQ in English

Subjects : Concerned Domain (Mechanical), General Awareness, Aptitude Test, English Language

Question Bank ONGC Graduate Trainee Mechanical Engineering Exam - English
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Concerned Domain (Mechanical)

Question 1Single Answer
If (A=\begin{bmatrix}2&1\4&2\end{bmatrix}), what is the rank of matrix (A)?
  1. A
    0
  2. B
    1
  3. C
    2
  4. D
    3
Question 2Single Answer
What is the determinant of the matrix (\begin{bmatrix}3&5\2&7\end{bmatrix})?
  1. A
    19
  2. B
    21
  3. C
    17
  4. D
    11
Question 3Single Answer
A square matrix is invertible if and only if?
  1. A
    Its determinant is zero
  2. B
    Its trace is zero
  3. C
    It is symmetric
  4. D
    Its determinant is non-zero
Question 4Single Answer
The eigenvalues of the identity matrix of order 4 are?
  1. A
    0, 0, 0, 0
  2. B
    1, 1, 1, 1
  3. C
    4, 4, 4, 4
  4. D
    −1, −1, −1, −1
Question 5Single Answer
If the trace of a 3×3 matrix is 12 and two eigenvalues are 2 and 5, what is the third eigenvalue?
  1. A
    3
  2. B
    4
  3. C
    7
  4. D
    5
Question 6Single Answer
Which matrix is always orthogonal?
  1. A
    Rotation matrix
  2. B
    Diagonal matrix with unequal entries
  3. C
    Upper triangular matrix
  4. D
    Singular matrix
Question 7Single Answer
Two vectors are linearly dependent if?
  1. A
    One vector is a scalar multiple of the other
  2. B
    Their dot product is zero
  3. C
    Their magnitudes are equal
  4. D
    Their cross product is non-zero
Question 8Single Answer
The determinant of a triangular matrix equals?
  1. A
    Sum of the diagonal elements
  2. B
    Product of the diagonal elements
  3. C
    Largest diagonal element
  4. D
    Smallest diagonal element
Question 9Single Answer
If (A^T=A), then the matrix is?
  1. A
    Orthogonal
  2. B
    Skew-symmetric
  3. C
    Symmetric
  4. D
    Singular
Question 10Single Answer
Which method is commonly used for solving a system of linear equations numerically?
  1. A
    Gaussian elimination
  2. B
    Euler's method
  3. C
    Simpson's rule
  4. D
    Newton-Cotes formula
Question 11Single Answer
A force of 500 N acts at an angle of 30° to the horizontal. What is its horizontal component?
  1. A
    250 N
  2. B
    500 N
  3. C
    433 N
  4. D
    289 N
Question 12Single Answer
For a body to remain in equilibrium under coplanar forces, which condition must always be satisfied?
  1. A
    Only (\sum F_x = 0)
  2. B
    Only (\sum M = 0)
  3. C
    (\sum F_x = 0,; \sum F_y = 0,; \sum M = 0)
  4. D
    Only (\sum F_y = 0)
Question 13Single Answer
The centroid of a semicircular area of radius (R) from its diameter is?
  1. A
    (R/2)
  2. B
    (2R/\pi)
  3. C
    (4R/3\pi)
  4. D
    (R/\pi)
Question 14Single Answer
Which theorem states that the moment of a force about a point equals the sum of the moments of its components about the same point?
  1. A
    Varignon's theorem
  2. B
    Lami's theorem
  3. C
    Maxwell's theorem
  4. D
    Clapeyron's theorem
Question 15Single Answer
The friction angle is related to the coefficient of friction (\mu) by?
  1. A
    (\mu=\sin\phi)
  2. B
    (\mu=\cos\phi)
  3. C
    (\mu=\tan\phi)
  4. D
    (\mu=\cot\phi)
Question 16Single Answer
Which quantity remains constant for a projectile in the absence of air resistance?
  1. A
    Horizontal velocity
  2. B
    Vertical velocity
  3. C
    Acceleration along trajectory
  4. D
    Kinetic energy only
Question 17Single Answer
The center of percussion of a suspended body coincides with?
  1. A
    Center of gravity
  2. B
    Instantaneous center
  3. C
    Center of mass only
  4. D
    Center of oscillation
Question 18Single Answer
Which principle is the basis for determining impact forces using momentum conservation?
  1. A
    Bernoulli's principle
  2. B
    Hooke's law
  3. C
    Impulse-Momentum principle
  4. D
    Pascal's law
Question 19Single Answer
A simply supported beam carrying a central point load has maximum bending moment equal to?
  1. A
    (WL/2)
  2. B
    (WL/8)
  3. C
    (WL/4)
  4. D
    (WL/16)
Question 20Single Answer
The neutral axis in pure bending passes through?
  1. A
    Extreme fiber
  2. B
    Centroid of the cross-section
  3. C
    Bottom surface only
  4. D
    Shear center
Question 21Single Answer
The flexural formula is?
  1. A
    (\sigma=\frac{My}{I})
  2. B
    (\tau=\frac{VQ}{Ib})
  3. C
    (\sigma=\frac{P}{A})
  4. D
    (\tau=\frac{Tr}{J})
Question 22Single Answer
Which beam section provides the highest strength-to-weight ratio in bending?
  1. A
    Circular solid section
  2. B
    Hexagonal section
  3. C
    Square section
  4. D
    I-section
Question 23Single Answer
The shear stress distribution in a rectangular beam is?
  1. A
    Uniform throughout
  2. B
    Maximum at the outer fibers
  3. C
    Maximum at the neutral axis
  4. D
    Zero everywhere
Question 24Single Answer
The torsion equation for circular shafts is?
  1. A
    (\frac{VQ}{Ib})
  2. B
    (\frac{M}{I}=\frac{\sigma}{y})
  3. C
    (\frac{P}{A}=E\epsilon)
  4. D
    (\frac{T}{J}=\frac{\tau}{R}=\frac{G\theta}{L})
Question 25Single Answer
Euler's buckling formula is applicable to columns that are?
  1. A
    Short columns
  2. B
    Hollow columns only
  3. C
    Long, slender columns
  4. D
    Composite columns only
Question 26Single Answer
Slenderness ratio of a column is defined as?
  1. A
    (L/A)
  2. B
    (L/r)
  3. C
    (A/r)
  4. D
    (L/I)
Question 27Single Answer
Which Mohr's circle parameter represents the radius?
  1. A
    Average normal stress
  2. B
    Maximum shear stress
  3. C
    Principal stress
  4. D
    Hydrostatic stress
Question 28Single Answer
In a four-bar mechanism, Grashof's criterion determines?
  1. A
    Mobility condition based on link lengths
  2. B
    Gear ratio
  3. C
    Shaft speed
  4. D
    Bearing life
Question 29Single Answer
Which mechanism converts rotary motion into reciprocating motion?
  1. A
    Geneva mechanism
  2. B
    Oldham coupling
  3. C
    Slider-crank mechanism
  4. D
    Differential gear
Question 30Single Answer
The Coriolis acceleration occurs in mechanisms having?
  1. A
    Only rotating links
  2. B
    Only fixed links
  3. C
    Relative sliding on a rotating member
  4. D
    Pure rolling contact
Question 31Single Answer
The gyroscopic couple is proportional to?
  1. A
    Mass only
  2. B
    Radius only
  3. C
    Angular momentum and precessional velocity
  4. D
    Linear momentum only
Question 32Single Answer
Which governor is most sensitive among the following?
  1. A
    Proell governor
  2. B
    Hartnell governor
  3. C
    Watt governor at low speeds
  4. D
    Porter governor
Question 33Single Answer
In involute gears, the pressure angle remains?
  1. A
    Variable during meshing
  2. B
    Equal to helix angle
  3. C
    Zero always
  4. D
    Constant during meshing
Question 34Single Answer
Which type of gear has the highest contact ratio and smoother operation for parallel shafts?
  1. A
    Helical gear
  2. B
    Spur gear
  3. C
    Bevel gear
  4. D
    Worm gear
Question 35Single Answer
The logarithmic decrement method is used to determine?
  1. A
    Critical speed
  2. B
    Damping coefficient of a vibrating system
  3. C
    Gear efficiency
  4. D
    Bearing friction
Question 36Single Answer
Resonance in a single-degree-of-freedom system occurs when?
  1. A
    Excitation frequency equals natural frequency
  2. B
    Damping is maximum
  3. C
    Excitation frequency is zero
  4. D
    Spring stiffness is zero
Question 37Single Answer
The transmissibility of vibration isolation becomes less than unity when the frequency ratio is approximately greater than?
  1. A
    0.5
  2. B
    (\sqrt{2})
  3. C
    1.0
  4. D
    3.0
Question 38Single Answer
According to the Soderberg criterion, the design equation is based on?
  1. A
    Ultimate strength and mean stress
  2. B
    Hardness number only
  3. C
    Fracture toughness only
  4. D
    Yield strength and endurance limit
Question 39Single Answer
Which mechanical element is primarily designed using Hertzian contact stress theory?
  1. A
    Flat belt
  2. B
    Helical spring
  3. C
    Rolling element bearing
  4. D
    Wire rope

General Awareness

Question 40Single Answer
Yojna a weekly journal
  1. A
    Ministry of Finance        
  2. B
    Ministry of Information and Broadcastin
  3. C
    Ministry of Rural Development
  4. D
    Planning Commission
Question 41Single Answer
Sattriya dance form is famous in which of these states ?
  1. A
    Assam
  2. B
    Himachal Pradesh
  3. C
    Punjab
  4. D
    Tamil Nadu
Question 42Single Answer

"Who said, 'India was a parrot unto itself'?

  1. A
    Malik Muhammad Joyce
  2. B
    Raskhan
  3. C
    Rich Khusrow
  4. D
    Rich Hasan
Question 43Single Answer
Which is the national game of Bhutan ?
  1. A
    badminton
  2. B
    basketball
  3. C
    football
  4. D
    archery
Question 44Single Answer
When was the Constituent Assembly of India formed?
  1. A
    1946
  2. B
    1947
  3. C
    1948
  4. D
    1950
Question 45Single Answer
Who is known as the "Father of the Indian Renaissance" ?
  1. A
    Raja Ram Mohan Roy
  2. B
    Swami Vivekananda
  3. C
    Rabindranath Tagore
  4. D
    Mahatma Gandhi
Question 46Single Answer
What is the study of ethics primarily concerned with ?
  1. A
    Economic behavior
  2. B
    Human values and moral principles
  3. C
    Physical health
  4. D
    Political systems
Question 47Single Answer
Who is known as the "Missile Man of India"?
  1. A
    Dr. Homi J. Bhabha
  2. B
    Dr. Vikram Sarabhai
  3. C
    Dr. APJ Abdul Kalam
  4. D
    Dr. Satish Dhawan
Question 48Single Answer
On what date did India celebrate the 9th anniversary of the Goods and Services Tax (GST) implementation?
  1. A
    July 1, 2026
  2. B
    June 30, 2026
  3. C
    July 2, 2026
  4. D
    June 29, 2026
Question 49Single Answer
Which organization is primarily responsible for upstream regulation and technical oversight of petroleum exploration activities in India?
  1. A
    Petroleum Planning & Analysis Cell (PPAC)
  2. B
    Directorate General of Hydrocarbons (DGH)
  3. C
    Central Electricity Authority (CEA)
  4. D
    Bureau of Energy Efficiency (BEE)

Aptitude Test

Question 50Single Answer
How many such pairs of letters are there in the word ‘CLEANLINESS’ each of the which has as many letters between them in the word as they have in the English alphabet, in the same sequence?
  1. A
    Two
  2. B
    Three
  3. C
    Five
  4. D
    Four
  5. E
    None of these
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