CUET UG 2025 previous year paper practice · PYQ-pattern set

CUET UG 2025 PYQ-pattern questions

Showing 10 of the 19 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 · General Knowledge

   Which Indian city is known as the 'Pink City' due to its distinctive colored buildings?

   • A. Udaipur
   • B. Jaipur
   • C. Jodhpur
   • D. Bikaner
   Answer and solution

   Answer: B

   Jaipur is called the Pink City because of the terracotta-pink color of most of its buildings, which were painted pink in 1876 to welcome the Prince of Wales.

2. Q2 · Environment & Ecology

   The concept of 'Ecological Footprint' measures which of the following?

   • A. Total forest area in a region
   • B. Demand on Earth's ecosystems by human consumption
   • C. Carbon emissions only
   • D. Biodiversity index of a habitat
   Answer and solution

   Answer: B

   Ecological Footprint measures humanity's demand on nature by comparing consumption of natural resources against Earth's capacity to regenerate those resources and absorb waste.

3. Q3 · General Mental Ability

   In a row of students, Priya is 12th from the left and 18th from the right. How many students are there in the row?

   • A. 30
   • B. 29
   • C. 28
   • D. 31
   Answer and solution

   Answer: B

   Total students = (Position from left + Position from right) - 1 = 12 + 18 - 1 = 29.

4. Q4 · Inverse Trigonometric Functions

   Find the principal value of sin⁻¹(√3/2).

   • A. π/3
   • B. π/6
   • C. 2π/3
   • D. 5π/6
   Answer and solution

   Answer: A

   The principal value of sin⁻¹(√3/2) is π/3, as sin(π/3) = √3/2 and π/3 lies in the principal value range [-π/2, π/2].

5. Q5 · Continuity & Differentiability

   If f(x) = |x - 3| + |x + 2|, then f(x) is:

   • A. Continuous everywhere but not differentiable at x = -2 and x = 3
   • B. Differentiable everywhere
   • C. Continuous everywhere but not differentiable at x = 0
   • D. Neither continuous nor differentiable at x = -2 and x = 3
   Answer and solution

   Answer: A

   The function f(x) is continuous everywhere as absolute value functions are continuous, but at x = -2 and x = 3, the function has sharp corners where left and right derivatives differ, hence not differentiable at these points.

6. Q6 · Vectors

   If a = 2i + 3j - k and b = i - 2j + 4k, then the dot product a · b is:

   • A. -8
   • B. 0
   • C. -10
   • D. 6
   Answer and solution

   Answer: A

   The dot product a · b = (2)(1) + (3)(-2) + (-1)(4) = 2 - 6 - 4 = -8.

7. Q7 · Electromagnetic Waves

   Which of the following electromagnetic waves has the shortest wavelength?

   • A. Gamma rays
   • B. X-rays
   • C. Ultraviolet rays
   • D. Microwaves
   Answer and solution

   Answer: A

   In the electromagnetic spectrum, gamma rays have the highest frequency and therefore the shortest wavelength among all electromagnetic waves.

8. Q8 · Electronic Devices

   A p-n junction diode is used primarily for:

   • A. Amplification of AC signals
   • B. Rectification of AC voltage
   • C. Generation of radio waves
   • D. Storage of electrical energy
   Answer and solution

   Answer: B

   A p-n junction diode conducts in forward bias and blocks in reverse bias, making it ideal for converting AC to DC (rectification).

9. Q9 · Electrochemistry

   The standard electrode potential of Zn²⁺/Zn is -0.76 V and that of Cu²⁺/Cu is +0.34 V. The EMF of the cell Zn|Zn²⁺||Cu²⁺|Cu is:

   • A. +1.10 V
   • B. -1.10 V
   • C. +0.42 V
   • D. -0.42 V
   Answer and solution

   Answer: A

   E°cell = E°cathode - E°anode. Here, Cu²⁺ is reduced (cathode) and Zn is oxidized (anode). E°cell = 0.34 - (-0.76) = +1.10 V.

10. Q10 · d- and f-Block Elements

    The highest oxidation state exhibited by manganese in its compounds is:

    • A. +5
    • B. +6
    • C. +7
    • D. +4
    Answer and solution

    Answer: C

    Manganese shows a maximum oxidation state of +7 in compounds like KMnO₄ (potassium permanganate), corresponding to its 3d⁵4s² electronic configuration.