Chemical Engineering Quiz Quiz

Test your knowledge of the GATE 2025 Chemical Engineering General Aptitude section with these medium-difficulty questions. Covering topics such as language, logic, mathematics, and general science, this quiz aims to help you practice and assess your preparation for competitive exams.

1. Q1: Appropriate Preposition in a Sentence

   Which is the correct preposition to complete the sentence 'Is there any good show television tonight?'

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

2. Q2: Vocabulary in Context

   Which word best completes the sentence 'As the police officer was found guilty of embezzlement, he was dismissed from the service ___ in accordance with the Service Rules'?

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

3. Q3: Infinite Series Sum

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

   1. e - 1
   2. e
   3. 1 + e
   4. π

4. Q4: Cube Construction Problem

   If a 12-meter long thin wire is used to construct all the edges of a cube with 1 m sides, what is the minimum number of cuts required to form the cube's wire frame?

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

5. Q5: Logical Sequence – Next Figure

   Given figures I, II, and III forming a visual sequence, which figure is expected to come next in the sequence at position IV?

   1. D
   2. C
   3. B
   4. A

6. Q6: Reading Comprehension - Crooked Streets

   Based on Hilaire Belloc's passage about 'crooked streets', which of the following statements is true?

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

7. Q7: Clock Hands Coincidence Problem

   Rohit enters a restaurant at 1 PM and notices the hour and minute hands coincide. After about an hour, upon leaving, he observes the hands coinciding again. How many minutes did Rohit spend in the restaurant?

   1. 64
   2. 65
   3. 66 11
   4. 66

8. Q8: Color Model Consistency

   In a color model using Yellow (Y), Magenta (M), Cyan (Cy), Red (R), Blue (BI), Green (G), and Black (K), which set of codes is consistent with the model's representation?

   1. G, M, Cy, Y, K
   2. G, M, Cy, BI, M
   3. Cy, Y, Magenta, Black
   4. Y, K, G, M, Cy

9. Q9: Circle Intersection Coordinates

   A circle at (0.5, 0) with radius 0.5 intersects a circle at (1, 1) with radius 1 at two points. Which of the following points (x,y) is one of their intersection points?

   1. (0,0)
   2. (0.2,0.4)
   3. (0.5,0.5)
   4. (1,2)

10. Q10: Rotational Symmetry Identification

    Which of the given objects exhibits 4-fold rotational symmetry about an axis perpendicular to the plane of the screen?

    1. C
    2. D
    3. B
    4. A

11. Q11: Paper Manufacturing - Chemistry Fill-in-the-Blanks

    To manufacture paper from (i) the (ii) must be freed from the binding matrix of (iii) in the pulping step. Select the correct sequence to fill (i), (ii), and (iii).

    1. (i) wood, (ii) cellulose fibers, (iii) lignin
    2. (i) wood, (ii) lignin, (iii) cellulose fibers
    3. (i) lignin, (ii) wood, (iii) cellulose fibers
    4. (i) lignin, (ii) cellulose fibers, (iii) wood

12. Q12: Vector Inner Product Calculation

    Given vectors a = √2i + j + k and b = √2j – k in a 3D coordinate system, what is their inner product (a • b)?

    1. 0
    2. 2
    3. -1
    4. 1

13. Q13: Argument of Complex Numbers

    Let z₁ = 1 - i and z₂ = i. What is the argument of the product z₁z₂?

    1. π
    2. π/4
    3. π/2
    4. 0

14. Q14: Probability with Balls of Different Colors

    A box contains 3 identical green balls and 7 identical blue balls. Two balls are drawn without replacement. What is the probability that both are green?

    1. 1/10
    2. 3/45
    3. 2/45
    4. 1/15

15. Q15: Word Analogy – Logical Relationships

    Choose the option that best completes the analogy: 'Reader' is to 'Book' as 'Listener' is to _____?

    1. Music
    2. Song
    3. Hymn
    4. Tune