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    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 , ordinate , and x axis.
    The value of is
    Question 11
    2026 PYQ

    Let be a scalar function. Then, is

    Question 12
    2026 PYQ
    The order and degree of the following differential equation are m and n, respectively.

    The value of is
    Question 13
    2026 PYQ
    If a positive real x satisfies the following equation
    , 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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    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.

    Paper breakdown

    65 questions · 100 marks. Fluid Mechanics and Thermal Sciences: 16 · Applied Mechanics and Design: 16 · Materials, Manufacturing and Industrial Engineering: 14 · Engineering Mathematics: 9 · Quantitative Aptitude: 3 · Analytical Aptitude: 3 · Verbal Aptitude: 2 · Spatial Aptitude: 2

    Free sample questions from GATE ME 2026 Question Paper

    Question 1 · Fluid Mechanics and Thermal Sciences · 2026 MCQ
    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?
    1. A.

    2. B.

    3. C.

    4. D.

    Question 2 · Fluid Mechanics and Thermal Sciences · 2026 MCQ
    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?
    1. A.

    2. B.

    3. C.

      is directly proportional to the bend radius.

    4. D.

      is inversely proportional to the average flow velocity.

    Question 3 · Fluid Mechanics and Thermal Sciences · 2026 MCQ

    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

    1. A.

      increases along the flow

    2. B.

      decreases along the flow

    3. C.

      does not change throughout the pipe

    4. D.

      increases in the hydrodynamic entrance region and then decreases thereafter

    Question 4 · Applied Mechanics and Design · 2026 MCQ

    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

    1. A.

      1.2

    2. B.

      0.6

    3. C.

      2.4

    4. D.

      0.3

    Question 5 · Applied Mechanics and Design · 2026 MCQ

    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

    1. A.

      gear 4

    2. B.

      gear 2

    3. C.

      gear 3

    4. D.

      gear 1

    Question 6 · Applied Mechanics and Design · 2026 MCQ
    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
    1. A.

      0.63

    2. B.

      1.26

    3. C.

      0.32

    4. D.

      1.89

    Question 7 · Materials, Manufacturing and Industrial Engineering · 2026 MCQ
    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
    1. A.

      P-II, Q-III, R-I

    2. B.

      P-II, Q-I, R-III

    3. C.

      P-III, Q-I, R-II

    4. D.

      P-III, Q-II, R-I

    Question 8 · Materials, Manufacturing and Industrial Engineering · 2026 MCQ

    Which one of the following options is NOT an error associated with STereoLithography(STL) file in additive manufacturing?

    1. A.

      Staircase effect

    2. B.

      Missing facet

    3. C.

      Non-manifold topology conditions

    4. D.

      Degenerate facets

    Question 9 · Materials, Manufacturing and Industrial Engineering · 2026 MCQ
    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?
    1. A.

      200

    2. B.

      210

    3. C.

      150

    4. D.

      70

    Question 10 · Engineering Mathematics · 2026 MCQ
    Domain A is bounded by curve , ordinate , and x axis.
    The value of is
    1. A.

      1/5

    2. B.

      1/3

    3. C.

      5/12

    4. D.

      1/2

    Question 11 · Engineering Mathematics · 2026 MCQ

    Let be a scalar function. Then, is

    1. A.

      always perpendicular to the surface of constant

    2. B.

      always parallel to the surface of constant

    3. C.

      the minimum rate of change of scalar

    4. D.

      always zero

    Question 12 · Engineering Mathematics · 2026 MCQ
    The order and degree of the following differential equation are m and n, respectively.

    The value of is
    1. A.

      2

    2. B.

      3

    3. C.

      1

    4. D.

      0

    Question 13 · Quantitative Aptitude · 2026 MCQ
    If a positive real x satisfies the following equation
    , then the value of x is_________________
    1. A.

    2. B.

    3. C.

    4. D.

    Question 14 · Quantitative Aptitude · 2026 MCQ
    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
    1. A.

      40

    2. B.

      50

    3. C.

      60

    4. D.

      70

    Question 15 · Quantitative Aptitude · 2026 MCQ

    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__________

    1. A.

    2. B.

    3. C.

    4. D.

    Question 16 · Analytical Aptitude · 2026 MCQ
    ‘All the mangoes in the basket are good.’
    If the above statement is false, then which one of the following statements is necessarily true?
    1. A.

      All the mangoes in the basket are not good.

    2. B.

      No mango in the basket is good.

    3. C.

      In the basket, some of the mangoes are good and some are not good.

    4. D.

      There exists at least one mango in the basket that is not good.

    Question 17 · Analytical Aptitude · 2026 MCQ
    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.
    1. A.

      (S1) and(S2) together imply(S3)

    2. B.

      (S2) and(S3) together imply(S1)

    3. C.

      (S1) and(S3) together imply(S2)

    4. D.

      (S1) implies(S3)

    Question 18 · Analytical Aptitude · 2026 MCQ
    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?
    1. A.

      Meritorius

    2. B.

      Meritorius’ brother

    3. C.

      Meritorius’ son

    4. D.

      Meritorius’ daughter

    Question 19 · Verbal Aptitude · 2026 MCQ
    ‘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.
    1. A.

      score; despite

    2. B.

      scoring; instead of

    3. C.

      scored; despite

    4. D.

      scoring; in spite of

    Question 20 · Verbal Aptitude · 2026 MCQ
    ‘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.
    1. A.

      an; a; at; and

    2. B.

      a; an; and; at

    3. C.

      and; a; an; at

    4. D.

      at; a; an; and

    Question 21 · Spatial Aptitude · 2026 MCQ

    The next figure(indicated by ‘?’) in the sequence is

    1. A.

      Figure A

    2. B.

      Figure B

    3. C.

      Figure C

    4. D.

      Figure D

    Question 22 · Spatial Aptitude · 2026 MCQ
    Which one of the patterns labelled P, Q, R, and S is used to generate the following figure?
    P
    R
    Q
    S
    1. A.

      P

    2. B.

      Q

    3. C.

      R

    4. D.

      S

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