CUET UG 2023 previous year paper practice · PYQ-pattern set

CUET UG 2023 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 · Indian History & National Movement

   The Quit India Movement was launched in which year, demanding immediate independence from British rule?

   • A. 1940
   • B. 1942
   • C. 1944
   • D. 1946
   Answer and solution

   Answer: B

   The Quit India Movement was launched on August 8, 1942, by Mahatma Gandhi at the Bombay session of the All-India Congress Committee with the slogan 'Do or Die'.

2. Q2 · Quantitative Reasoning

   A train travels 120 km in 2 hours and then 180 km in 3 hours. What is its average speed for the entire journey?

   • A. 55 km/hr
   • B. 60 km/hr
   • C. 62 km/hr
   • D. 65 km/hr
   Answer and solution

   Answer: B

   Total distance = 120 + 180 = 300 km; Total time = 2 + 3 = 5 hours. Average speed = 300/5 = 60 km/hr.

3. Q3 · Data Interpretation

   A chart shows that in a college, 40% students study Science, 35% study Commerce, and the rest study Arts. If there are 200 students in total, how many study Arts?

   • A. 50
   • B. 45
   • C. 60
   • D. 55
   Answer and solution

   Answer: A

   Arts students = 100% - (40% + 35%) = 25% of 200 = 50 students.

4. Q4 · Determinants

   If A is a square matrix of order 3 and |A| = 4, then find |2A|.

   • A. 8
   • B. 16
   • C. 32
   • D. 64
   Answer and solution

   Answer: C

   For an n×n matrix, |kA| = kⁿ|A|. Here n=3, so |2A| = 2³ × 4 = 8 × 4 = 32.

5. Q5 · Integrals

   Evaluate ∫(2x + 3)/(x² + 3x + 2) dx:

   • A. log|x + 2| + log|x + 1| + C
   • B. log|(x + 2)/(x + 1)| + C
   • C. log|x + 1| + C
   • D. 2log|x + 2| - log|x + 1| + C
   Answer and solution

   Answer: A

   Using partial fractions, (2x+3)/(x²+3x+2) = (2x+3)/[(x+1)(x+2)] = 1/(x+1) + 1/(x+2). Hence integral = log|x+1| + log|x+2| + C.

6. Q6 · Current Electricity

   A wire of resistance 12 Ω is stretched uniformly to twice its original length. What is the new resistance of the wire?

   • A. 24 Ω
   • B. 36 Ω
   • C. 48 Ω
   • D. 6 Ω
   Answer and solution

   Answer: C

   When length is doubled with constant volume, area becomes half. Since R = ρL/A, new resistance R' = ρ(2L)/(A/2) = 4ρL/A = 4R = 48 Ω.

7. Q7 · Dual Nature of Radiation & Matter

   The work function of a metal is 3.0 eV. What is the maximum wavelength of light that can cause photoelectric emission from this metal? (Take h = 6.63 × 10⁻³⁴ J·s, c = 3 × 10⁸ m/s, 1 eV = 1.6 × 10⁻¹⁹ J)

   • A. 414 nm
   • B. 621 nm
   • C. 310 nm
   • D. 207 nm
   Answer and solution

   Answer: A

   For threshold, hc/λ = W₀. So λ = hc/W₀ = (6.63 × 10⁻³⁴ × 3 × 10⁸)/(3.0 × 1.6 × 10⁻¹⁹) = (19.89 × 10⁻²⁶)/(4.8 × 10⁻¹⁹) = 4.14 × 10⁻⁷ m = 414 nm.

8. Q8 · Electronic Devices

   In a p-type semiconductor, which of the following statements is correct?

   • A. Electrons are majority carriers and holes are minority carriers
   • B. Holes are majority carriers and electrons are minority carriers
   • C. Both electrons and holes are present in equal concentration
   • D. Only holes are present as charge carriers
   Answer and solution

   Answer: B

   In p-type semiconductors, trivalent impurities create acceptor levels, resulting in holes as majority carriers and electrons as minority carriers.

9. Q9 · Solutions

   A 5% solution of glucose (molecular mass 180 g/mol) is isotonic with a 2% solution of substance X. The molecular mass of X is approximately:

   • A. 45 g/mol
   • B. 72 g/mol
   • C. 90 g/mol
   • D. 360 g/mol
   Answer and solution

   Answer: B

   For isotonic solutions, osmotic pressures are equal, so (w₁/M₁) = (w₂/M₂). Here, (5/180) = (2/M₂). Solving: M₂ = (2×180)/5 = 72 g/mol.

10. Q10 · p-Block Elements

    Which of the following noble gases does NOT form any known chemical compound under laboratory conditions?

    • A. Helium
    • B. Xenon
    • C. Krypton
    • D. Radon
    Answer and solution

    Answer: A

    Helium has the highest ionization energy and smallest size among noble gases, making it chemically inert with no known stable compounds.