CUET UG 2024 previous year paper practice · PYQ-pattern set

CUET UG 2024 PYQ-pattern questions

Showing 10 of the 18 PYQ-pattern questions in this set — freshly worded in that year's pattern, not the original questions. Answers and solutions open under each question.

1. Q1 · Current Affairs

   Which organization launched the 'Mission Mausam' initiative in 2024 to improve weather forecasting and climate research in India?

   • A. NITI Aayog
   • B. Ministry of Earth Sciences
   • C. ISRO
   • D. Department of Science and Technology
   Answer and solution

   Answer: B

   The Ministry of Earth Sciences launched Mission Mausam to enhance weather prediction capabilities and climate resilience through advanced technology and research.

2. Q2 · Numerical Ability

   If 25% of a number is 45, what is the number?

   • A. 120
   • B. 150
   • C. 180
   • D. 200
   Answer and solution

   Answer: C

   Let the number be x. Then 25% of x = 45, so (25/100) × x = 45, which gives x = 45 × 4 = 180.

3. Q3 · Logical & Analytical Reasoning

   If 'PENCIL' is coded as 'QFODIM', then how will 'MARKER' be coded?

   • A. NBSLFS
   • B. NBSMFS
   • C. NBSLES
   • D. MASLFS
   Answer and solution

   Answer: A

   Each letter shifts by +1 in the alphabet. M→N, A→B, R→S, K→L, E→F, R→S, giving NBSLFS.

4. Q4 · Matrices

   If A is a 2×2 matrix such that A = [[2, 3], [1, 4]], then what is A + Aᵀ?

   • A. [[4, 4], [4, 8]]
   • B. [[4, 3], [3, 8]]
   • C. [[2, 4], [4, 4]]
   • D. [[4, 1], [1, 8]]
   Answer and solution

   Answer: A

   Aᵀ = [[2, 1], [3, 4]]. Thus A + Aᵀ = [[2+2, 3+1], [1+3, 4+4]] = [[4, 4], [4, 8]].

5. Q5 · Applications of Derivatives

   The slope of the tangent to the curve y = x³ - 3x + 5 at the point (1, 3) is:

   • A. 0
   • B. 2
   • C. -1
   • D. 3
   Answer and solution

   Answer: A

   The slope of the tangent is given by dy/dx = 3x² - 3. At x = 1, dy/dx = 3(1)² - 3 = 0.

6. Q6 · Three-Dimensional Geometry

   The equation of the plane passing through the point (2, -1, 3) and perpendicular to the vector 4i + 2j - 3k is:

   • A. 4x + 2y - 3z = -3
   • B. 4x + 2y - 3z = -15
   • C. 4x + 2y - 3z = 15
   • D. 4x + 2y - 3z = -5
   Answer and solution

   Answer: A

   The plane normal to vector (4,2,-3) has form 4x+2y-3z=d. Substituting the point (2,-1,3): 4(2)+2(-1)-3(3)=8-2-9=-3, so d=-3, matching option A.

7. Q7 · Optics

   A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -30 cm. What is the power of the combination?

   • A. -1.67 D
   • B. +1.67 D
   • C. -0.83 D
   • D. +0.83 D
   Answer and solution

   Answer: B

   Power P = P₁ + P₂ = 1/f₁ + 1/f₂ = 1/0.20 + 1/(-0.30) = 5 - 3.33 = 1.67 D. The combination has positive power.

8. Q8 · Solid State

   In a face-centered cubic (FCC) unit cell, the number of atoms per unit cell is:

   • A. 2
   • B. 4
   • C. 6
   • D. 8
   Answer and solution

   Answer: B

   FCC has atoms at 8 corners (each contributing 1/8) and 6 face centers (each contributing 1/2). Total = 8×(1/8) + 6×(1/2) = 1 + 3 = 4 atoms per unit cell.

9. Q9 · General Principles & Processes of Isolation of Elements

   In the extraction of copper from its sulphide ore, which of the following reactions is used to remove iron impurities as slag?

   • A. FeO + SiO₂ → FeSiO₃
   • B. CuO + FeS → Cu + FeO + S
   • C. Cu₂O + FeS → Cu₂S + FeO
   • D. FeS + O₂ → FeO + SO₂
   Answer and solution

   Answer: A

   In copper extraction, silica (SiO₂) is added to remove iron oxide as fusible slag FeSiO₃, which can be easily separated.

10. Q10 · Aldehydes, Ketones & Carboxylic Acids

    Which of the following reagents can be used to distinguish between acetaldehyde and acetone?

    • A. Fehling's reagent
    • B. 2,4-DNP reagent
    • C. Sodium bisulphite
    • D. Iodine and NaOH
    Answer and solution

    Answer: A

    Fehling's reagent oxidizes aldehydes (acetaldehyde gives brick-red precipitate) but not ketones (acetone shows no reaction), making it a distinguishing test.