Aerospace Engineering Quiz Quiz

Test your knowledge of general aptitude and key fundamental concepts in aerospace engineering with this 15-question multiple-choice quiz. Covering logical reasoning, basic mathematics, matrices, and introductory engineering problems, this quiz is perfect for those preparing for competitive exams or seeking to strengthen core skills.

1. Analogy Completion

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

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

2. Verb Tense Usage

   We ______ tennis in the lawn when it suddenly started to rain. Choose the correct verb form.

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

3. Image Pixel Count

   A 4 x 4 digital image has pixel intensities (U) as shown below. How many pixels have U ≤ 4?n0102n4733n5544n6732

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

4. Logical Figure Matching

   Numbers are associated with a rectangle, triangle, and ellipse as 1, 2, and 3, respectively. If P, Q, and R must be assigned values accordingly, which combination is correct?

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

5. Rectangle Properties

   A rectangle of length L and width W (where L u003E W) has its width increased by 10%. Which statement is correct for all L and W?

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

6. Matching Statements and Responses

   Given four statements (P, Q, R, S) and four responses (1-4), which matching is correct? For example, P: 'This house is in a mess.'

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

7. Monotonic Function Scenario

   If the weight function of two brothers (increasing until 50 years, then decreasing) is identical and a₁ u003C a₂ are their ages, when will they have the same weight?

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

8. Polygon Geometry and Area

   A regular dodecagon is inscribed in a circle of radius r. If triangles are used to form squares of side r, how many squares can be formed and how many triangles per square, respectively?

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

9. Solving Exponential Equations

   If x is a real variable satisfying 3x² = 27 × 9ˣ, what is the value of (2ˣ²) / (2ˣ)²?

   1. 2⁻¹
   2. 2⁰
   3. 2¹⁵
   4. 2³

10. Weighted Average Calculation

    Dr. Gita earns ₹1000 × (X – 0.2) per shift where X is the number of patients, over 100 shifts. What is the average amount she earned per shift if the data distribution is balanced?

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

11. Matrix Properties

    For any real symmetric matrix A, what is the relationship of its transpose?

    1. inverse of A
    2. A
    3. null matrix
    4. -A

12. System of Equations Solution

    Consider the system: 2x + 3y + z = 0; x + y = 0; y + z = 0. How many solutions does it have?

    1. no solution.
    2. infinitely many solutions.
    3. a unique solution.
    4. a finite number of solutions.

13. Eigenvalue Knowledge

    What are the eigenvalues of the matrix [[2, 1], [0, 2]]?

    1. 2
    2. 1,3
    3. 0,2
    4. 2,3

14. Differential Equation Classification

    Which type is the partial differential equation ∂²u/∂x² = 0?

    1. parabolic
    2. elliptic
    3. hyperbolic
    4. of mixed type

15. Continuity Condition

    Let f(x) = 1 + x for x u003C 2 and f(x) = A for x ≥ 2. If f(x) is continuous at x = 2, what is the value of A?

    1. 3.5
    2. 3
    3. 2
    4. 2.5