GATE 2026 Mechanical Engineering Question Paper with Solution PDF

The GATE 2026 Mechanical Engineering (ME) Question Paper with Solution PDF is available here following the conclusion of the exam. The exam was held in Computer Based Test (CBT) mode with a total duration of 3 hours. The paper consists of 65 questions for a total of 100 marks, divided into three main sections: General Aptitude (15 marks), Engineering Mathematics (13 marks), and Core Mechanical Engineering subjects (72 marks).

According to the analysis of previous years' trends, the GATE ME paper is generally expected to be moderate to difficult. Candidates aiming for top-tier IITs or recruitment by premier PSUs like ONGC, BHEL, or IOCL should target a score between 65–75+ marks. Attempting 55 to 65 questions with 85–90% accuracy is typically considered a safe and competitive range.

GATE 2026 Mechanical Engineering (ME) Question Paper with Solution PDF

GATE 2026 Mechanical Engineering (ME) Question Paper with Solution PDF	Download	Check Solutions

Question 1:

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, \(\frac{\dot{Q}_{square}}{\dot{Q}_{circular}}\), is:

(A) \(\frac{\pi}{4}\)
(B) \(\frac{4}{\pi}\)
(C) \(\frac{2}{\sqrt{\pi}}\)
(D) \(\frac{\sqrt{\pi}}{2}\)

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Question 2:

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) A rectangular block of constant positive height \(P\) from \(x=0\) to \(x=L/2\), and zero shear force from \(x=L/2\) to \(x=L\).
(B) A rectangular block of constant positive height \(P\) from \(x=0\) to \(x=L/2\), followed by another rectangular block of height \(P/2\) from \(x=L/2\) to \(x=L\).
(C) A triangular shape increasing linearly from \(x=0\) to \(x=L/2\).
(D) A rectangular block from \(x=0\) to \(x=L\), unaffected by the point load.

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Question 3:

A vibrating system has a critical damping coefficient \(C_c = 350 \, N\cdots/m\) and an actual damping coefficient \(C = 35 \, N\cdots/m\). The logarithmic decrement of the system is approximately:

(A) 0.10
(B) 0.31
(C) 0.63
(D) 3.14

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Question 4:

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.

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Question 5:

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) NOT feasible and 6.0
(B) NOT feasible and 2.6
(C) feasible and 3.6
(D) feasible and 3.0

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Question 6:

The welding process commonly used for fabricating tailor-welded blanks of dissimilar thickness for automotive applications is

(A) arc welding
(B) laser welding
(C) gas welding
(D) friction welding

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Question 7:

Let A and B be real symmetric matrices of same size. Which one of the following options is correct?

(A) \( (AB)^T = B^T A^T \)
(B) \( AB = BA \)
(C) \( A^T = A^{-1} \)
(D) \( A = A^{-1} \)

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GATE Questions

1.
During a welding operation, thermal power of 2500 W is incident normally on a metallic surface. As shown in the figure below (figure is NOT to scale), the heated area is circular. Out of the incident power, 85% of the power is absorbed within a circle of radius 5 mm while 65% is absorbed within an inner concentric circle of radius 3 mm. The power density in the shaded area is _________ W mm^-2 (rounded off to 2 decimal places).

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2.
For the differential equation given below, which one of the following options is correct? \[ \frac{\partial^2 u}{\partial x^2} + \frac{\partial^2 u}{\partial y^2} = 0, \quad 0 \leq x \leq 1, 0 \leq y \leq 1 \]

\( u = e^{x + y} \) is a solution for all \(x\) and \(y\)
\( u = e^{x} \sin y \) is a solution for all \(x\) and \(y\)
\( u = \sin x \sin y \) is a solution for all \(x\) and \(y\)
\( u = \cos x \cos y \) is a solution for all \(x\) and \(y\)

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3.
Let A and B be real symmetric matrices of same size. Which one of the following options is correct?

\( (AB)^T = B^T A^T \)
\( AB = BA \)
\( A^T = A^{-1} \)
\( A = A^{-1} \)

View Solution

4.
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:

\(\frac{\pi}{4}\)
\(\frac{4}{\pi}\)
\(\frac{2}{\sqrt{\pi}}\)
\(\frac{\sqrt{\pi}}{2}\)

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5.
The state of stress at a point is shown in the figure given below. Under plane stress assumption, the normal strain along the thickness direction (\(\epsilon_{zz}\)) is _________ (rounded off to 2 decimal places).

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6.
Two cars, P and Q, start from a point X in India at 10 AM. Car P travels North with a speed of 25 km/h and car Q travels East with a speed of 30 km/h. Car P travels continuously but car Q stops for some time after traveling for one hour. If both cars are at the same distance from X at 11:30 AM, for how long (in minutes) did car Q stop?

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GATE 2026 Mechanical Engineering Question Paper with Solution PDF

GATE 2026 Mechanical Engineering (ME) Question Paper with Solution PDF

GATE Questions

2.
For the differential equation given below, which one of the following options is correct? \[ \frac{\partial^2 u}{\partial x^2} + \frac{\partial^2 u}{\partial y^2} = 0, \quad 0 \leq x \leq 1, 0 \leq y \leq 1 \]

3.
Let A and B be real symmetric matrices of same size. Which one of the following options is correct?

5.
The state of stress at a point is shown in the figure given below. Under plane stress assumption, the normal strain along the thickness direction (\(\epsilon_{zz}\)) is _________ (rounded off to 2 decimal places).

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GATE 2026 Mechanical Engineering (ME) Question Paper with Solution PDF

GATE Questions

2.For the differential equation given below, which one of the following options is correct? \[ \frac{\partial^2 u}{\partial x^2} + \frac{\partial^2 u}{\partial y^2} = 0, \quad 0 \leq x \leq 1, 0 \leq y \leq 1 \]

3.Let A and B be real symmetric matrices of same size. Which one of the following options is correct?

5.The state of stress at a point is shown in the figure given below. Under plane stress assumption, the normal strain along the thickness direction (\(\epsilon_{zz}\)) is _________ (rounded off to 2 decimal places).

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2.
For the differential equation given below, which one of the following options is correct? \[ \frac{\partial^2 u}{\partial x^2} + \frac{\partial^2 u}{\partial y^2} = 0, \quad 0 \leq x \leq 1, 0 \leq y \leq 1 \]

3.
Let A and B be real symmetric matrices of same size. Which one of the following options is correct?

5.
The state of stress at a point is shown in the figure given below. Under plane stress assumption, the normal strain along the thickness direction (\(\epsilon_{zz}\)) is _________ (rounded off to 2 decimal places).