Civil Engineering Quiz -1 Quiz

Challenge your problem-solving abilities with this quiz on general aptitude and mathematical concepts relevant to civil engineering, including logical reasoning, series, matrices, geometry, and language skills. Perfect for students preparing for competitive exams in civil engineering.

1. Television Programming

   Is there any good show __________ television tonight?

   1. in
   2. on
   3. at
   4. within

2. Service Dismissal

   As the police officer was found guilty of embezzlement, he was __________ dismissed from the service in accordance with the Service Rules.

   1. unintentionally
   2. brazenly
   3. sumptuously
   4. summarily

3. Infinite Series Sum

   What is the sum of the infinite series: 1/1! + 1/2! + 1/3! + 1/4! + 1/5! + ...?

   1. e-1
   2. e
   3. π
   4. 1+e

4. Constructing a Cube

   A thin wire of length 12 m is used to construct all the edges of a cube with sides of 1 m. What is the minimum number of cuts required to construct the wire frame of the cube?

   1. 4
   2. 3
   3. 6
   4. 12

5. Summarizing a Passage

   Based only on the information in the passage, which statement is true? The passage discusses the removal of crooked streets in major cities.

   1. The author of the passage takes delight in wondering.
   2. Great broad ways are needed to protect commerce and history.
   3. In the past, crooked streets were only built on islands.
   4. The wealthier nations are pulling down the crooked streets in their capitals.

6. Clock Hands Coincidence

   Rohit enters a restaurant at about 1 PM and sees the hour and minute hands exactly coinciding. After about an hour, when he leaves, the hands are again coinciding. How many minutes did he spend inside?

   1. 666/13
   2. 646/11
   3. 665/11
   4. 655/11

7. Color Model Consistency

   Which set of color codes is consistent with a color model that uses Yellow (Y), Magenta (M), Cyan (Cy), Red (R), Blue (Bl), Green (G), and Black (K)?

   1. K, G, M, Cy
   2. Bl, M, Cy
   3. G, G, M, Cy
   4. K, G, (Y), Magenta

8. Intersecting Circles

   A circle with center at (0.5, 0) and radius 0.5 intersects another with center at (1, 1) and radius 1 at two points. Which of the following points is a point of intersection?

   1. (0.2,04)
   2. (0,0)
   3. (1,2)
   4. (0.5,0.5)

9. Rotational Symmetry

   An object has n-fold rotational symmetry if rotating it by 2π/n leaves it unchanged. Which of the following objects exhibits 4-fold rotational symmetry about an axis perpendicular to the plane?

   1. A square
   2. An equilateral triangle
   3. A circle
   4. A pentagon

10. Eigenvalue Shift

    If λ is an eigenvalue of matrix A and x is a corresponding eigenvector, and x is also an eigenvector of B = A - 2I, what is the eigenvalue of B corresponding to x?

    1. λ - 2
    2. λ + 2
    3. λ
    4. 2λ

11. Matrix Equation Condition

    Given the matrix A = [[1,1],[-2,-3]] and the vector b, under what condition on b₁, b₂, and b₃ is the equation Ax = b solvable?

    1. b₁ + 3b₂ + b₃ = 2
    2. 3b₁ + b₂ + 2b₂ = 0
    3. b₁ + b₂ + b₂ = 2
    4. b₁ + b₂ + b₃ = 1

12. Fourier Series Representation

    Which one of the following is the correct Fourier series for the function f(x), period 4, defined as f(x) = 0 if -2 u003C x u003C -1, f(x) = 2k if -1 u003C x u003C 1, f(x) = 0 if 1 u003C x u003C 2?

    1. k + (2k/π)(sinπx/2 + (1/3)sin3πx/2 + ...)
    2. 2k (cosx + sinx + ...)
    3. k (cosx/2 + cos3x/2 + ...)
    4. 2k/π (cosπx/2 + (1/3)cos3πx/2 + (1/5)cos5πx/2 + ...)

13. Reading Comprehension Vocabulary

    Which word best fits in the blank? The historian’s argument was so __________ that even critics found it hard to challenge.

    1. erratic
    2. tenuous
    3. compelling
    4. frivolous

14. Logical Reasoning with Cards

    If one card is selected randomly from a standard deck, what is the probability it is a heart or a king?

    1. 1/4
    2. 2/13
    3. 17/52
    4. 4/13

15. Basic Algebraic Manipulation

    If f(x) = 2x^2 - 3x + 1, what is f(2)?

    1. 1
    2. 7
    3. 5
    4. 3