Production and Industrial Engineering Quiz Quiz

Test your knowledge of the GATE 2025 Production and Industrial Engineering syllabus with these carefully selected multiple-choice questions covering concepts in general aptitude, mathematics, and engineering fundamentals.

1. Analogy Completion

   Courage is to bravery as yearning is to which of the following?

   1. Glaring
   2. Yelling
   3. Yawning
   4. Longing

2. Sentence Completion

   We ______ tennis in the lawn when it suddenly started to rain.

   1. would have been playing
   2. have been playing
   3. could be playing
   4. had been playing

3. Image Analysis

   Given a 4 x 4 digital image with pixel intensities, how many pixels have an intensity U ≤ 4?

   1. 8
   2. 3
   3. 9
   4. 11

4. Logical Matching

   Given shapes associated with numbers 1, 2, and 3, which is the most appropriate combination of P, Q, and R if P=rectangle, Q=triangle, R=ellipse?

   1. P=3; Q=6; R=6
   2. P=5; Q=6; R=3
   3. P=5; Q=3; R=6
   4. P=6; Q=5; R=3

5. Geometry of Rectangle

   If the width W of a rectangle is increased by 10% (with L u003E W), what happens?

   1. The rectangle becomes a square.
   2. Length of the diagonals increases by 10%.
   3. Area increases by 10%.
   4. Perimeter increases by 10%.

6. Column Matching: Logical Responses

   Given statements P, Q, R, S, and responses 1-4, which option correctly matches the pairs?

   1. P–3; Q–4; R–1; S–2
   2. P–4; Q–1; R–2; S–3
   3. P–1; Q–2; R–4; S–3
   4. P–2; Q–3; R–1; S–4

7. Function Analysis

   If two brothers have identical weight-age functions that increase till age 50, then decrease, and a1 u003C a2, when are their ages when their weights are equal?

   1. Either a1 = 50 or a2 = 50
   2. a1 u003C a u003C 50
   3. a1 u003C 50 u003C a2
   4. 50 u003C a u003C a2

8. Polygon in Circle

   A regular dodecagon is inscribed in a circle of radius r cm. If you use the triangles formed to make squares of side r cm, how many squares can be formed, and how many triangles does each square need?

   1. 3:4
   2. 3:6
   3. 4:3
   4. 3:3

9. Algebraic Expression

   If x is a real variable that satisfies 3 × 2^x = 27 × 9, then what is the value of (2^x)^2?

   1. 2^-1
   2. 2^0
   3. 2^15
   4. 2^3

10. Average Earnings Calculation

    Dr. Gita earns ₹1000 × (X − 0.2) per shift, where X is the number of patients. Over 100 shifts with varying patient numbers, what is her average earning per shift?

    1. 6,100
    2. 6,300
    3. 6,000
    4. 6,500

11. Eigenvalues of a Matrix

    What are the eigenvalues of the matrix with entries that yield solutions involving the imaginary unit?

    1. 1+√−1 and 1−√−1
    2. −√−1 and √−1
    3. −1+√−1 and −1−√−1
    4. -1 and I

12. Vector Calculus: Curl

    If i, j, and k are orthogonal unit vectors in Cartesian coordinates, what is the curl of the vector field −2y i + x j?

    1. 3k
    2. k
    3. −3k
    4. −k

13. Analytical Reasoning

    Which statement best describes the result of increasing only the width of a rectangle by a certain percentage while keeping the length unchanged?

    1. Only the perimeter increases by that percentage.
    2. Both the area and the perimeter increase equally.
    3. The diagonal increases, but not the area.
    4. Only the area increases by that percentage.

14. Numerical Reasoning: Age Functions

    Suppose the weight of two individuals is described by the same function of age, increasing to age 50 then decreasing. If their ages are a₁ and a₂ with a₁ u003C a₂, which is always true at their equal weight point?

    1. Both are younger than 50.
    2. Both are older than 50.
    3. One is younger than 50, the other older.
    4. Both must be exactly 50.

15. Geometric Construction

    If a polygon with 12 sides is inscribed in a circle and triangles are formed, what is the ratio of triangles needed per square if each square has the same side as the circle’s radius?

    1. 3:3
    2. 3:4
    3. 4:4
    4. 4:3