Chemical Engineering Quiz Quiz

Test your skills with this 15-question quiz based on GATE 2025 Chemical Engineering General Aptitude. Practice English language, logical reasoning, basic mathematics, and conceptual problem-solving relevant for CH aspirants.

1. Q1

   Which preposition correctly completes the sentence: 'Is there any good show television tonight?'

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

2. Q2

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

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

3. Q3

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

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

4. Q4

   A wire of length 12 m is used to construct all the edges of a cube of 1 m side; what is the minimum number of cuts required to complete the cube wireframe?

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

5. Q5

   Based on the passage, which statement is true: 'Wealthier nations are pulling down one or another [crooked streets] in their capitals and great towns...'

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

6. Q6

   Rohit enters a restaurant when the hour and minute hands of the clock coincide. After about an hour, when he leaves, he again notices the hands coincide; how long (in minutes) did he stay?

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

7. Q7

   If a color model marks points as Yellow (Y), Magenta (M), Cyan (Cy), Red (R), Blue (Bl), Green (G), and Black (K), which sequence maintains consistency in these codes?

   1. Cy, Bl, M, Y
   2. K, G, M, Cy
   3. M, G, Cy, R
   4. Y, K, G, M

8. Q8

   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 is one intersection point?

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

9. Q9

   Which object among the options shows 4-fold rotational symmetry about an axis perpendicular to the plane of the screen?

   1. A star with seven points
   2. An equilateral triangle
   3. A regular pentagon
   4. A square

10. Q10

    To manufacture paper from (i), the (ii) must be freed from the binding matrix of (iii) in the pulping step. Which is the correct combination for (i), (ii), (iii)?

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

11. Q11

    Given vectors a = √2i + (1/√2)j + k and b = (1/√2)i + √2j – k, what is the value of their inner product a · b?

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

12. Q12

    If z₁ = 1 – i and z₂ = i, what is the argument of the product z₁z₂?

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

13. Q13

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

    1. (3C1 × 7C1) / (10C2)
    2. 7/(10C2)
    3. (3P1 × 7P1) / 10P2
    4. (3×7)/(10×9)

14. Q14

    Which of the following correctly describes the geometric meaning of an n-fold rotational symmetry?

    1. The object looks identical after a rotation by 360°/n.
    2. The object only aligns every 90°.
    3. The object looks identical after a rotation by n°.
    4. The object has n axes of symmetry.

15. Q15

    If the sum of two numbers is 10 and their product is 21, which of the following pairs could these numbers be?

    1. 4 and 6
    2. 3 and 7
    3. 5 and 5
    4. 2 and 8