List of top Questions asked in GATE AE, GATE ME

The number of independent elastic constants that a fully anisotropic linear elastic material can have is .
A cantilever beam with an unsymmetric cross-section is subjected to a transverse shear force (P) at its free end. P acts at the shear center of the beam cross-section. Which one of the following statements is TRUE about the deformation of this beam?
In fluid dynamics, d'Alembert's paradox refers to which one of the following?
Which one of the following makes an ideal air-standard Stirling cycle?
The velocity potential function \((\varphi)\) given below represents which one of the following? \[ \varphi = 5x - 12y \]
Four hills H1, H2, H3, and H4 are present in an area. The following observations are made about them:
i. Neither H2 nor H3 is the easternmost hill.
ii. Neither H2 nor H3 is the westernmost hill.
iii. Neither the easternmost hill nor the westernmost hill is the southernmost hill.
iv. Two hills are located to the west of H2.
v. The southernmost hill has at least two hills to its east.
The southernmost hill is ________.
The following equation with respect to \(\varphi(x,t)\), where \(a\) is a non-zero constant, represents ________.
\[ \frac{\partial \varphi}{\partial t} + a\frac{\partial \varphi}{\partial x} = 0 \]
In a group of students, 10 students like Mathematics, 12 students like English, 4 students like both Mathematics and English, and 6 students like neither Mathematics nor English. The number of students in the group is
How many 3-digit numbers can be formed using three distinct single digit prime numbers?
Charity : P :: Retaliation : Q
Choose the appropriate pair of words P and Q that fit the analogy.
A school has 100 students distributed among 1st to 10th standards.
Based on this, which one of the following statements is always correct?
"He often _____ the numbers. False claims are not going to help. Honesty _____ trust", said the manager.
Choose the option with the correct order of words to fill the blanks.
The welding process commonly used for fabricating tailor-welded blanks of dissimilar thickness for automotive applications is
Let A and B be real symmetric matrices of same size. Which one of the following options is correct?
Two metal parts (a cylinder and a cube) of same volume are cast under identical conditions. The diameter of the cylinder is equal to its height. The ratio of the solidification time of the cube to that of the cylinder is _______________ (rounded off to 2 decimal places).
Assume that solidification time follows Chvorinov's rule with an exponent of 2.
A plate of 30 mm thickness is fed through a rolling mill with two powered rolls. Each roll has a diameter of 500 mm. The plate thickness is to be reduced to 27 mm in a single pass. Assume no change in width. The process feasibility and the maximum draft (in mm) can be represented, respectively, as
Use the coefficient of friction as 0.12
A cantilever beam of length \(L\) is fixed at the left end (\(x=0\)). It is subjected to a concentrated downward point load \(P\) and a concentrated clockwise moment \(M = \frac{PL}{2}\) at the midpoint (\(x = L/2\)). Which of the following descriptions correctly represents the Shear Force Diagram (SFD) for the beam?
A vibrating system has a critical damping coefficient \(C_c = 350 \, \text{N}\cdot\text{s/m}\) and an actual damping coefficient \(C = 35 \, \text{N}\cdot\text{s/m}\). The logarithmic decrement of the system is approximately:
Consider two infinitely long fins made of the same material and exposed to the same convective environment. One fin has a square cross-section of side \(a\), and the other has a circular cross-section of diameter \(d\). Assume \(a = d\). The ratio of the steady-state heat transfer rate from the square fin to that from the circular fin, \(\frac{\dot{Q}_{\text{square}}}{\dot{Q}_{\text{circular}}}\), is:
For a subsonic flow over an airfoil, an increase in velocity leads to:
Which of the following motions is primarily associated with lateral stability of an aircraft?
Which propulsion system is most suitable for high-speed supersonic aircraft?
The primary load-carrying structural component of an aircraft wing is:
For an isentropic flow of a perfect gas, an increase in Mach number results in:
Which control surface is mainly used to control the yaw motion of an aircraft?