Environmental Science u0026 Engineering Quiz Quiz

Test your knowledge with this comprehensive Environmental Science and Engineering general aptitude quiz, featuring original, medium-difficulty questions on logic, mathematics, reasoning, and environmental concepts. Assess your skills and prepare for competitive exams in the ES field.

1. Analogy Completion

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

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

2. Tense Usage

   We _____ tennis in the lawn when it suddenly started to rain. Which verb phrase correctly completes the sentence?

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

3. Logical Reasoning with Matrices

   Given a 4 x 4 digital image with pixel intensities as shown below, where many entries are 0, 1, 2, 3, 4, 5, 6, and 7, how many pixels have a value less than or equal to 4?n0 1 0 2n4 7 3 3n5 5 4 4n6 7 3 2

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

4. Pattern Recognition

   A diagram contains a rectangle (1), a triangle (2), and an ellipse (3). If P, Q, and R correspond to numbers in the diagram, which is the most appropriate combination?

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

5. Geometry: Rectangles

   A rectangle has length L and width W with L u003E W. If the width is increased by 10%, what is correct for all L and W?

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

6. Matching Statements

   Given four statements and four possible responses, identify the correct matching: 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.

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

7. Logical Reasoning with Monotonic Functions

   If two brothers have weights as a function of age that increases up to 50 years and then decreases, and ages a₁ and a₂ (with a₁ u003C a₂) are the same on the day they weigh the same, which statement is correct?

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

8. Geometry: Dodecagon and Triangles

   A regular dodecagon is inscribed in a circle of radius r. All the triangles formed are used to create squares of side r, using each triangle once. What is the correct number of squares formed and triangles per square?

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

9. Algebraic Manipulation

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

   1. 2⁻¹
   2. 2¹⁵
   3. 2⁰
   4. 2³

10. Averages in Word Problems

    Dr. Gita earns ₹1000(X - 0.2) per shift, where X is the number of patients per shift over 100 past shifts. If the patient numbers per shift are: 10 (5 patients), 20 (6), 30 (7), 40 (8), what has been her average per shift income?

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

11. Laplace Transform

    Assuming s u003E |a|, what is the Laplace transform of f(x) = cosh(ax)?

    1. s / (s² − a²)
    2. a / (s² + a²)
    3. s / (s² + a²)
    4. a / (s² − a²)

12. Differential Equations

    What is the general solution to the ordinary differential equation d²y / dx² + 4y = 0?

    1. y = c₁ cosh 2x + c₂ sinh 2x
    2. y = c₁e²ˣ + c₂e⁻²ˣ
    3. y = c₁ cos 2x + c₂ sin 2x
    4. y = c₁e²ˣ cos 2x + c₂e⁻²ˣ sin 2x

13. Analogy: Environmental Terms

    Just as deforestation leads to soil erosion, industrial emissions lead to which of the following?

    1. Reforestation
    2. Mulching
    3. Water harvesting
    4. Acid rain

14. Mathematics: Number Patterns

    Which of the following sequences is an arithmetic progression?n(A) 2, 4, 6, 8, 10n(B) 3, 9, 27, 81n(C) 1, 2, 4, 7, 11n(D) 2, 3, 5, 8, 13

    1. 2, 4, 6, 8, 10
    2. 2, 3, 5, 8, 13
    3. 1, 2, 4, 7, 11
    4. 3, 9, 27, 81

15. General Science: Physical Properties

    Which of the following is the best example of an irreversible physical change?

    1. Burning wood
    2. Breaking a glass
    3. Melting ice
    4. Dissolving sugar in water