GATE ME 2026 Question Paper with Solutions: 65 Questions, Answer Key & Section-wise Analysis
GATE ME 2026 previous year paper: 65 questions with answer key and detailed solutions, section-wise breakdown and free sample questions.
65 Qs
Total Questions
100 Marks
Total Marks
0 Mins
Duration
Section-wise Paper Structure
Fluid Mechanics and Thermal Sciences
16 Qs
25% of total marks
Applied Mechanics and Design
16 Qs
25% of total marks
Materials, Manufacturing and Industrial Engineering
14 Qs
22% of total marks
Engineering Mathematics
9 Qs
14% of total marks
Quantitative Aptitude
3 Qs
5% of total marks
Analytical Aptitude
3 Qs
5% of total marks
Verbal Aptitude
2 Qs
3% of total marks
Spatial Aptitude
2 Qs
3% of total marks
Free Solved Questions with Step-by-Step Solutions
Authentic examination problems with detailed derivations and answer keys.
Question 1
2026 PYQ
For an ideal gas, starting from state point 1, two different processes take place. The corresponding final states in these two processes are 2 and 3, lying on same isotherm. If P and h represent pressure and enthalpy, respectively, then which one of the following options is correct?
Question 2
2026 PYQ
A steady incompressible laminar flow passes through a 90° tube bend placed on a horizontal surface. In horizontal diametric plane, two pressure taps Pi and Po are provided across the cross-section at inner and outer walls of the bend, respectively. Which one of the following options is correct?
Question 3
2026 PYQ
An ideal gas passes isothermally through a long horizontal uniform cross-section pipe under steady flow. Consider that the pressure gradient in the pipe is sufficient for a finite change in the density of the gas. If the flow of the gas is purely pressure driven and subsonic throughout, then the average flow velocity
Question 4
2026 PYQ
A horizontal disk has a radial frictionless slot in which a small block is confined to slide. The disk turns anticlockwise about its centre with a constant angular velocity of 3 rad/s. If the block slides along the slot with a constant speed of 0.2 m/s relative to the slot, then the magnitude of Coriolis acceleration in m/s² is
Question 5
2026 PYQ
A gear train with five gears is shown in the figure below. The number of teeth on each gear is N1, N2, N3, N4, and N5. The idler gear in this gear train is
Question 6
2026 PYQ
In a single degree of freedom vibrating system with only viscous damping, the critical damping coefficient is 350 N s/m and the damping coefficient is 35 N s/m. The logarithmic decrement of the vibrating system is
Question 7
2026 PYQ
In relation to metal casting defects, match the following Defect Description P Dross I Shallow blow found on a flat casting surface Q Scab II Lighter impurities appearing on the top surface of a casting R Scar III A rough, thin layer of metal, protruding above the casting surface, on top of a thin layer of sand
Question 8
2026 PYQ
Which one of the following options is NOT an error associated with STereoLithography(STL) file in additive manufacturing?
Question 9
2026 PYQ
A work piece is to be firmly held in a fixture. It is to be machined by using a plain slab milling cutter as shown in the figure below. Which one of the following options is the most suitable value of height H of the fixture in mm?
Question 10
2026 PYQ
Domain A is bounded by curve x2=4y, ordinate x=2, and x axis. The value of ∬Aydxdy is
Question 11
2026 PYQ
Let ϕ be a scalar function. Then, ∇ϕ is
Question 12
2026 PYQ
The order and degree of the following differential equation are m and n, respectively. ∂x3∂3ϕ+∂y2∂2ϕ∂x∂ϕ+(∂x2∂2ϕ)2+∂y∂ϕ=0 The value of (m−n) is
Question 13
2026 PYQ
If a positive real x satisfies the following equation log2x+log2x=48, then the value of x is_________________
Question 14
2026 PYQ
The table lists the unit selling price of five products P, Q, R, S, and T. On a particular day, 250 items were sold with the average selling price of Rs. 60. The following observations were made: (i) The quantity of S sold was twice that of T. (ii) The quantity of R sold was thrice that of T. (iii) The quantity of Q sold was four times that of T. What is the quantity of product P sold on that day? Product P Q R S T Unit selling price(Rs.) 100 50 40 60 60
Question 15
2026 PYQ
Consider a string P of length l that is laid out as a straight-line segment. Another string K is laid out as a semicircular arc with string P as its diameter, as represented in Figure(i). When both the strings are shortened by a length x they can be re-arranged such that the shortened string K forms a full circle with the shortened string P as its diameter, as represented in Figure(ii). The value of x/l is__________
Question 16
2026 PYQ
‘All the mangoes in the basket are good.’ If the above statement is false, then which one of the following statements is necessarily true?
Question 17
2026 PYQ
Consider the following statements about four numbers: (S1) The average of the four numbers is 25 (S2) Each number is at most 40 (S3) Each number is at least 20 Choose the option that is necessarily correct.
Question 18
2026 PYQ
The Roman senator Meritorius, his brother, his son, and his daughter have varying oratory skill levels. They are seated in rows and columns as shown in the figure with exactly one person sitting in each box. It is known that (i) Meritorius’ daughter and his brother are seated in the same column. (ii) His son is seated diagonally across the sibling of the worst orator. (iii) The best and worst orators are seated in the same row. Who is the best orator?
Question 19
2026 PYQ
‘The team______ more than 300 runs in 20 overs___________ rains. However, some players needed to improve their batting skills.’ Choose the option with the correct sequence of words to fill the blanks.
Question 20
2026 PYQ
‘People are crowding around___ pit into which___ elephant has fallen. I have never seen an elephant looking more bewildered___ miserable. Here it is in a most undignified position, thrust into a pit and made to look up___ a vast, curiosity-stricken crowd.’ Choose the option with the correct sequence of words to fill the blanks.
Question 21
2026 PYQ
The next figure(indicated by ‘?’) in the sequence is
Question 22
2026 PYQ
Which one of the patterns labelled P, Q, R, and S is used to generate the following figure? P R Q S
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Free sample questions from GATE ME 2026 Question Paper
Question 1 · Fluid Mechanics and Thermal Sciences · 2026MCQ
For an ideal gas, starting from state point 1, two different processes take place. The corresponding final states in these two processes are 2 and 3, lying on same isotherm. If P and h represent pressure and enthalpy, respectively, then which one of the following options is correct?
A.
h2=h3
B.
h2>h3
C.
P2h3=P3h2
D.
P3h3=P2h2
Question 2 · Fluid Mechanics and Thermal Sciences · 2026MCQ
A steady incompressible laminar flow passes through a 90° tube bend placed on a horizontal surface. In horizontal diametric plane, two pressure taps Pi and Po are provided across the cross-section at inner and outer walls of the bend, respectively. Which one of the following options is correct?
A.
Po>Pi
B.
Po<Pi
C.
(Po−Pi) is directly proportional to the bend radius.
D.
(Pi−Po) is inversely proportional to the average flow velocity.
Question 3 · Fluid Mechanics and Thermal Sciences · 2026MCQ
An ideal gas passes isothermally through a long horizontal uniform cross-section pipe under steady flow. Consider that the pressure gradient in the pipe is sufficient for a finite change in the density of the gas. If the flow of the gas is purely pressure driven and subsonic throughout, then the average flow velocity
A.
increases along the flow
B.
decreases along the flow
C.
does not change throughout the pipe
D.
increases in the hydrodynamic entrance region and then decreases thereafter
Question 4 · Applied Mechanics and Design · 2026MCQ
A horizontal disk has a radial frictionless slot in which a small block is confined to slide. The disk turns anticlockwise about its centre with a constant angular velocity of 3 rad/s. If the block slides along the slot with a constant speed of 0.2 m/s relative to the slot, then the magnitude of Coriolis acceleration in m/s² is
A.
1.2
B.
0.6
C.
2.4
D.
0.3
Question 5 · Applied Mechanics and Design · 2026MCQ
A gear train with five gears is shown in the figure below. The number of teeth on each gear is N1, N2, N3, N4, and N5. The idler gear in this gear train is
A.
gear 4
B.
gear 2
C.
gear 3
D.
gear 1
Question 6 · Applied Mechanics and Design · 2026MCQ
In a single degree of freedom vibrating system with only viscous damping, the critical damping coefficient is 350 N s/m and the damping coefficient is 35 N s/m. The logarithmic decrement of the vibrating system is
A.
0.63
B.
1.26
C.
0.32
D.
1.89
Question 7 · Materials, Manufacturing and Industrial Engineering · 2026MCQ
In relation to metal casting defects, match the following Defect Description P Dross I Shallow blow found on a flat casting surface Q Scab II Lighter impurities appearing on the top surface of a casting R Scar III A rough, thin layer of metal, protruding above the casting surface, on top of a thin layer of sand
A.
P-II, Q-III, R-I
B.
P-II, Q-I, R-III
C.
P-III, Q-I, R-II
D.
P-III, Q-II, R-I
Question 8 · Materials, Manufacturing and Industrial Engineering · 2026MCQ
Which one of the following options is NOT an error associated with STereoLithography(STL) file in additive manufacturing?
A.
Staircase effect
B.
Missing facet
C.
Non-manifold topology conditions
D.
Degenerate facets
Question 9 · Materials, Manufacturing and Industrial Engineering · 2026MCQ
A work piece is to be firmly held in a fixture. It is to be machined by using a plain slab milling cutter as shown in the figure below. Which one of the following options is the most suitable value of height H of the fixture in mm?
A.
200
B.
210
C.
150
D.
70
Question 10 · Engineering Mathematics · 2026MCQ
Domain A is bounded by curve x2=4y, ordinate x=2, and x axis. The value of ∬Aydxdy is
A.
1/5
B.
1/3
C.
5/12
D.
1/2
Question 11 · Engineering Mathematics · 2026MCQ
Let ϕ be a scalar function. Then, ∇ϕ is
A.
always perpendicular to the surface of constant ϕ
B.
always parallel to the surface of constant ϕ
C.
the minimum rate of change of scalar ϕ
D.
always zero
Question 12 · Engineering Mathematics · 2026MCQ
The order and degree of the following differential equation are m and n, respectively. ∂x3∂3ϕ+∂y2∂2ϕ∂x∂ϕ+(∂x2∂2ϕ)2+∂y∂ϕ=0 The value of (m−n) is
A.
2
B.
3
C.
1
D.
0
Question 13 · Quantitative Aptitude · 2026MCQ
If a positive real x satisfies the following equation log2x+log2x=48, then the value of x is_________________
A.
216
B.
416
C.
214
D.
414
Question 14 · Quantitative Aptitude · 2026MCQ
The table lists the unit selling price of five products P, Q, R, S, and T. On a particular day, 250 items were sold with the average selling price of Rs. 60. The following observations were made: (i) The quantity of S sold was twice that of T. (ii) The quantity of R sold was thrice that of T. (iii) The quantity of Q sold was four times that of T. What is the quantity of product P sold on that day? Product P Q R S T Unit selling price(Rs.) 100 50 40 60 60
A.
40
B.
50
C.
60
D.
70
Question 15 · Quantitative Aptitude · 2026MCQ
Consider a string P of length l that is laid out as a straight-line segment. Another string K is laid out as a semicircular arc with string P as its diameter, as represented in Figure(i). When both the strings are shortened by a length x they can be re-arranged such that the shortened string K forms a full circle with the shortened string P as its diameter, as represented in Figure(ii). The value of x/l is__________
A.
π
B.
2ππ−1
C.
2(π−1)π
D.
π−1π
Question 16 · Analytical Aptitude · 2026MCQ
‘All the mangoes in the basket are good.’ If the above statement is false, then which one of the following statements is necessarily true?
A.
All the mangoes in the basket are not good.
B.
No mango in the basket is good.
C.
In the basket, some of the mangoes are good and some are not good.
D.
There exists at least one mango in the basket that is not good.
Question 17 · Analytical Aptitude · 2026MCQ
Consider the following statements about four numbers: (S1) The average of the four numbers is 25 (S2) Each number is at most 40 (S3) Each number is at least 20 Choose the option that is necessarily correct.
A.
(S1) and(S2) together imply(S3)
B.
(S2) and(S3) together imply(S1)
C.
(S1) and(S3) together imply(S2)
D.
(S1) implies(S3)
Question 18 · Analytical Aptitude · 2026MCQ
The Roman senator Meritorius, his brother, his son, and his daughter have varying oratory skill levels. They are seated in rows and columns as shown in the figure with exactly one person sitting in each box. It is known that (i) Meritorius’ daughter and his brother are seated in the same column. (ii) His son is seated diagonally across the sibling of the worst orator. (iii) The best and worst orators are seated in the same row. Who is the best orator?
A.
Meritorius
B.
Meritorius’ brother
C.
Meritorius’ son
D.
Meritorius’ daughter
Question 19 · Verbal Aptitude · 2026MCQ
‘The team______ more than 300 runs in 20 overs___________ rains. However, some players needed to improve their batting skills.’ Choose the option with the correct sequence of words to fill the blanks.
A.
score; despite
B.
scoring; instead of
C.
scored; despite
D.
scoring; in spite of
Question 20 · Verbal Aptitude · 2026MCQ
‘People are crowding around___ pit into which___ elephant has fallen. I have never seen an elephant looking more bewildered___ miserable. Here it is in a most undignified position, thrust into a pit and made to look up___ a vast, curiosity-stricken crowd.’ Choose the option with the correct sequence of words to fill the blanks.
A.
an; a; at; and
B.
a; an; and; at
C.
and; a; an; at
D.
at; a; an; and
Question 21 · Spatial Aptitude · 2026MCQ
The next figure(indicated by ‘?’) in the sequence is
A.
Figure A
B.
Figure B
C.
Figure C
D.
Figure D
Question 22 · Spatial Aptitude · 2026MCQ
Which one of the patterns labelled P, Q, R, and S is used to generate the following figure? P R Q S