UP JEECUP 2021 previous year paper practice · PYQ-pattern set

UP JEECUP 2021 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 · Arithmetic Progressions (Class 10)

   If the 9th term of an A.P. is 35 and the 19th term is 75, what is the 15th term?

   • A. 55
   • B. 59
   • C. 63
   • D. 51
   Answer and solution

   Answer: B

   a₉ = a + 8d = 35 and a₁₉ = a + 18d = 75. Subtracting: 10d = 40, so d = 4. Then a = 35 – 32 = 3. So a₁₅ = 3 + 14(4) = 59.

2. Q2 · Surface Areas and Volumes (Class 10)

   A metallic sphere of radius 6 cm is melted and recast into a cone of height 24 cm. What is the radius of the base of the cone?

   • A. 6 cm
   • B. 8 cm
   • C. 9 cm
   • D. 12 cm
   Answer and solution

   Answer: A

   Volume of sphere = (4/3)πr³ = (4/3)π(6³). Volume of cone = (1/3)πR²h = (1/3)πR²(24). Equating gives R = 6 cm.

3. Q3 · Quadrilaterals (Class 9)

   In a parallelogram ABCD, if ∠A = 65°, then ∠C is equal to:

   • A. 65°
   • B. 115°
   • C. 130°
   • D. 90°
   Answer and solution

   Answer: A

   In a parallelogram, opposite angles are equal. Therefore, ∠C = ∠A = 65°.

4. Q4 · Coordinate Geometry — Basics (Class 9)

   The coordinates of the point which divides the line segment joining A(−2, 3) and B(4, −5) internally in the ratio 3:1 are:

   • A. (2.5, −3)
   • B. (3, −3)
   • C. (2.5, −3.5)
   • D. (2, −2)
   Answer and solution

   Answer: A

   Using section formula: x = [3(4) + 1(−2)]/(3+1) = (12−2)/4 = 2.5; y = [3(−5) + 1(3)]/(3+1) = (−15+3)/4 = −3.

5. Q5 · Electricity (Class 10)

   Three resistors of 2 Ω, 3 Ω, and 6 Ω are connected in parallel. What is the equivalent resistance of the combination?

   • A. 1 Ω
   • B. 2 Ω
   • C. 0.5 Ω
   • D. 1.5 Ω
   Answer and solution

   Answer: A

   For parallel combination: 1/R_eq = 1/2 + 1/3 + 1/6 = 3/6 + 2/6 + 1/6 = 6/6 = 1 ⇒ R_eq = 1 Ω.

6. Q6 · Electricity (Class 10)

   An electric heater of resistance 20 Ω draws a current of 5 A from a supply. If the heater is used for 2 hours, how much electrical energy in kWh is consumed?

   • A. 1.0 kWh
   • B. 0.5 kWh
   • C. 2.0 kWh
   • D. 1.5 kWh
   Answer and solution

   Answer: A

   Power P = I²R = 5² × 20 = 500 W = 0.5 kW. Energy = Power × time = 0.5 × 2 = 1.0 kWh.

7. Q7 · Chemical Reactions and Equations (Class 10)

   When iron reacts with copper sulphate solution, the reaction is:

   • A. Combination reaction
   • B. Decomposition reaction
   • C. Displacement reaction
   • D. Double displacement reaction
   Answer and solution

   Answer: C

   Iron displaces copper from copper sulphate solution forming iron sulphate and copper, which is a displacement reaction.

8. Q8 · Work and Energy (Class 9)

   A body of mass 2 kg is dropped from a height of 20 m. What is its kinetic energy just before it touches the ground? (g = 10 m/s²)

   • A. 200 J
   • B. 300 J
   • C. 400 J
   • D. 500 J
   Answer and solution

   Answer: C

   By conservation of energy, KE at bottom equals PE at top = mgh = 2 × 10 × 20 = 400 J.

9. Q9 · Structure of the Atom (Class 9)

   An element has atomic number 15. What will be the electronic configuration in the outermost shell of this element?

   • A. 3 electrons
   • B. 5 electrons
   • C. 7 electrons
   • D. 8 electrons
   Answer and solution

   Answer: B

   Atomic number 15 means 15 electrons. The configuration is 2, 8, 5. Thus, the outermost (M) shell has 5 electrons.

10. Q10 · Structure of the Atom (Class 9)

    Which subatomic particle carries a negative charge?

    • A. Proton
    • B. Neutron
    • C. Electron
    • D. Alpha particle
    Answer and solution

    Answer: C

    Electrons are negatively charged subatomic particles that revolve around the nucleus of an atom.