Production and Industrial Engineering Quiz Quiz

Test your knowledge with this 15-question quiz based on GATE 2025 General Aptitude for Production u0026 Industrial Engineering (PI). Practice concepts such as analogies, mathematics, reasoning, geometry, and basic engineering aptitude.

1. Analogy Completion

   Courage is to Bravery as Yearning is to which of the following?

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

2. Verb Tense Usage

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

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

3. Counting in a Matrix

   Given a 4 x 4 digital image with pixel intensities as: 0 1 0 2; 4 7 3 3; 5 5 4 4; 6 7 3 2. How many pixels have intensity U ≤ 4?

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

4. Logical Combination

   Given rectangle, triangle, and ellipse are numbered 1, 2, and 3. If P, Q, and R have to be assigned values based on a diagram, which is the most appropriate combination?

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

5. Rectangle Properties

   A rectangle has length L and width W (L u003E W). If W is increased by 10%, which statement is correct for all L and W?

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

6. Matching Statements

   Match the statements: P. 'This house is in a mess.' Q. 'I am not happy with the marks given to me.' R. 'Politics is a subject I avoid talking about.' S. 'I don’t know what this word means.' Match with: 1. 'Alright, I won’t bring it up during our conversations.' 2. 'Well, you can easily look it up.' 3. 'No problem, let me clear it up for you.' 4. 'Don’t worry, I will take it up with your teacher.' Choose the correct combination.

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

7. Function and Age

   For two brothers with identical weight-age functions increasing until age 50 and decreasing after, with a₁ u003C a₂, which is true about their ages when they weigh the same?

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

8. Geometry in Polygons

   A regular dodecagon (12-sided) is inscribed in a circle with radius r cm. If all 12 triangles from the figure are used to form squares of side d cm, how many squares can be made and how many triangles per square?

   1. 3:3
   2. 3:4
   3. 8:7
   4. 4:3

9. Algebraic Equation

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

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

10. Average Earning Calculation

    Dr. Gita's earnings per shift are ₹1000(X – 0.2), where X is number of patients per shift in 100 shifts. If the frequency distribution is 20 shifts for 5 patients, 40 shifts for 6, 30 shifts for 7, and 10 shifts for 8, what is her average earning per shift?

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

11. Matrix Eigenvalues

    What are the eigenvalues of the matrix [[0, −1], [1, 0]]?

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

12. Vector Calculus – Curl

    If i, j, and k are orthogonal unit vectors, what is the curl of the vector field -2yi + xj?

    1. -k
    2. 3k
    3. -3k
    4. k

13. Conceptual Geometry

    Which of these choices describes a dodecagon?

    1. A polygon with 10 sides
    2. A polygon with 8 sides
    3. A polygon with 16 sides
    4. A polygon with 12 sides

14. Number Patterns

    If a sequence increases monotonically until a peak value, then decreases monotonically, what is the type of function?

    1. Strictly increasing
    2. Periodic
    3. Unimodal
    4. Bimodal

15. Area and Percentage Increase

    When only the width of a rectangle is increased by 10% and the length remains constant, by what percentage does the area increase?

    1. 5%
    2. 100%
    3. 10%
    4. 20%