JEE Advanced Practice Set 1
Original pattern-based JEE Advanced full-length mock with 36 questions: 12 Mathematics, 12 Physics, and 12 Chemistry for practical two-paper strategy practice.
Exam Pattern & Rules
Negative Marking: May apply for some questions
Note: Both papers are compulsory. Pattern is not fixed in the same way as JEE Main.
Practice Set Details
JEE Advanced Practice Set 1: all 36 questions with answers
Try each question first, then open “Show answer” to check the correct option and explanation.
Q1.Solve for x: 2x + 5 = 11.
- A.4
- B.2
- C.5
- D.3
Show answer
Correct answer: D. 3
Subtract 5 from both sides: 2x = 6. Divide by 2: x = 3.
Q2.One root of x² − 8x + 15 = 0 is 3. The other root is:
- A.4
- B.8
- C.5
- D.6
Show answer
Correct answer: C. 5
Product of roots = 15. Other root = 15 ÷ 3 = 5.
Q3.The 8th term of an AP with first term 2 and common difference 2 is:
- A.19
- B.16
- C.14
- D.18
Show answer
Correct answer: B. 16
aₙ = a + (n−1)d = 2 + 7×2 = 16.
Q4.Slope of the line through (1, 2) and (4, 8) is:
- A.2
- B.3
- C.1
- D.4
Show answer
Correct answer: A. 2
Slope = (8−2) ÷ (4−1) = 6 ÷ 3 = 2.
Q5.Value of sin 0° is:
- A.1
- B.1/2
- C.√3/2
- D.0
Show answer
Correct answer: D. 0
sin 0° = 0.
Q6.A bag contains 3 red and 5 blue balls. Probability of drawing a red ball is:
- A.3/7
- B.6/9
- C.3/8
- D.5/9
Show answer
Correct answer: C. 3/8
P(red) = 3/8.
Q7.Determinant of matrix [[2, 1], [2, 3]] is:
- A.12
- B.4
- C.9
- D.1
Show answer
Correct answer: B. 4
det = ad − bc = 2×3 − 1×2 = 4.
Q8.Evaluate: log₂ₐₑₒₓ2(2^2) [log base 2].
- A.2
- B.3
- C.1
- D.4
Show answer
Correct answer: A. 2
logₐ(a^n) = n, so log_2(2^2) = 2.
Q9.Find 6P2.
- A.15
- B.34
- C.26
- D.30
Show answer
Correct answer: D. 30
6P2 = 6!/(6−2)! = 6×5 = 30.
Q10.Find 7C2.
- A.24
- B.18
- C.21
- D.14
Show answer
Correct answer: C. 21
nC2 = n(n−1)/2 = 7×6/2 = 21.
Q11.Simple interest on Rs 500 at 4% p.a. for 2 years is:
- A.Rs 80
- B.Rs 40
- C.Rs 120
- D.Rs 0
Show answer
Correct answer: B. Rs 40
SI = P×R×T/100 = 500×4×2/100 = Rs 40.
Q12.Area of a triangle with base 6 cm and height 4 cm is:
- A.12 cm²
- B.24 cm²
- C.18 cm²
- D.6 cm²
Show answer
Correct answer: A. 12 cm²
Area = (1/2) × base × height = (1/2) × 6 × 4 = 12 cm².
Q13.A body starts with velocity 2 m/s and has acceleration 2 m/s². Its velocity after 3 s is:
- A.6 m/s
- B.10 m/s
- C.5 m/s
- D.8 m/s
Show answer
Correct answer: D. 8 m/s
v = u + at = 2 + 2×3 = 8 m/s.
Q14.For u = 1 m/s, a = 2 m/s², t = 4 s, displacement is:
- A.28 m
- B.18 m
- C.20 m
- D.4 m
Show answer
Correct answer: C. 20 m
s = ut + ½At² = 1×4 + 0.5×2×4² = 20 m.
Q15.Net force needed to give 2 kg mass an acceleration of 3 m/s² is:
- A.5 N
- B.6 N
- C.9 N
- D.3 N
Show answer
Correct answer: B. 6 N
F = ma = 2×3 = 6 N.
Q16.Work done when force 10 N moves a body 3 m in its direction is:
- A.30 J
- B.40 J
- C.20 J
- D.13 J
Show answer
Correct answer: A. 30 J
W = F×d = 10×3 = 30 J.
Q17.A body does 100 J of work in 5 s. Its power is:
- A.40 W
- B.25 W
- C.15 W
- D.20 W
Show answer
Correct answer: D. 20 W
P = W/t = 100/5 = 20 W.
Q18.A body of mass 3 kg moves at 4 m/s. Its momentum is:
- A.8 kg·m/s
- B.7 kg·m/s
- C.12 kg·m/s
- D.15 kg·m/s
Show answer
Correct answer: C. 12 kg·m/s
p = mv = 3×4 = 12 kg·m/s.
Q19.Kinetic energy of 2 kg body moving at 4 m/s is:
- A.14 J
- B.16 J
- C.8 J
- D.24 J
Show answer
Correct answer: B. 16 J
KE = ½mv² = 0.5×2×4² = 16 J.
Q20.Voltage across a 3 Ω resistor carrying 2 A current is:
- A.6 V
- B.9 V
- C.3 V
- D.7 V
Show answer
Correct answer: A. 6 V
V = IR = 2×3 = 6 V.
Q21.Two resistors 4 Ω and 6 Ω connected in series. Total resistance is:
- A.24 Ω
- B.2 Ω
- C.12 Ω
- D.10 Ω
Show answer
Correct answer: D. 10 Ω
Series: R = R₁ + R₂ = 4 + 6 = 10 Ω.
Q22.Power of a lens with focal length 20 cm is:
- A.6 D
- B.0.2 D
- C.5 D
- D.20 D
Show answer
Correct answer: C. 5 D
P = 1/f = 1/0.2 m = 5 D.
Q23.Wave speed for frequency 50 Hz and wavelength 2 m is:
- A.52 m/s
- B.100 m/s
- C.150 m/s
- D.80 m/s
Show answer
Correct answer: B. 100 m/s
v = fλ = 50×2 = 100 m/s.
Q24.Gravitational force doubles when one mass doubles:
- A.doubles
- B.halves
- C.quadruples
- D.unchanged
Show answer
Correct answer: A. doubles
F ∝ m₁×m₂; doubling one mass doubles F.
Q25.If [H⁺] = 10⁻1 mol/L, the pH of the solution is:
- A.2
- B.13
- C.3
- D.1
Show answer
Correct answer: D. 1
pH = −log[H⁺] = −log(10⁻1) = 1.
Q26.Molar mass of H₂O is:
- A.20 g/mol
- B.22 g/mol
- C.18 g/mol
- D.16 g/mol
Show answer
Correct answer: C. 18 g/mol
Add atomic masses: molar mass of H₂O = 18 g/mol.
Q27.Oxidation state of sulfur in H₂SO₄ is:
- A.−2
- B.+6
- C.+4
- D.+2
Show answer
Correct answer: B. +6
S in H₂SO₄ = +6.
Q28.Formula of compound formed by Na⁺ and O²⁻ is:
- A.Na₂O
- B.NaO
- C.NaO₂
- D.Na₂O₂
Show answer
Correct answer: A. Na₂O
Na(+1) and O(−2): Na₂O.
Q29.Gas evolved when zinc reacts with dilute HCl is:
- A.oxygen
- B.nitrogen
- C.carbon dioxide
- D.hydrogen
Show answer
Correct answer: D. hydrogen
Zn + 2HCl → ZnCl₂ + H₂↑.
Q30.Which is a strong acid?
- A.H₂CO₃
- B.HF
- C.HCl
- D.CH₃COOH
Show answer
Correct answer: C. HCl
HCl ionises completely in water.
Q31.Functional group in ethanol is:
- A.−CO− (ketone)
- B.−OH (hydroxyl)
- C.−COOH (carboxyl)
- D.−CHO (aldehyde)
Show answer
Correct answer: B. −OH (hydroxyl)
C₂H₅OH has a hydroxyl group.
Q32.Which element belongs to Group 1 (alkali metals)?
- A.Potassium
- B.Calcium
- C.Magnesium
- D.Aluminium
Show answer
Correct answer: A. Potassium
K is in Group 1.
Q33.Number of moles in 18 g of H₂O (M = 18 g/mol) is:
- A.2
- B.3
- C.2.5
- D.1
Show answer
Correct answer: D. 1
n = mass/M = 18/18 = 1 mol.
Q34.Electronic configuration 2,8,1 corresponds to:
- A.Magnesium (Mg)
- B.Lithium (Li)
- C.Sodium (Na)
- D.Potassium (K)
Show answer
Correct answer: C. Sodium (Na)
2+8+1=11 → Na.
Q35.Which is a covalent compound?
- A.CaCl₂
- B.Water (H₂O)
- C.NaCl
- D.MgO
Show answer
Correct answer: B. Water (H₂O)
Water has covalent O−H bonds.
Q36.Common name of NaHCO₃ is:
- A.baking soda
- B.washing soda
- C.bleaching powder
- D.quicklime
Show answer
Correct answer: A. baking soda
NaHCO₃ = baking soda.