JEE Advanced

JEE Advanced Practice Set 3

Original pattern-based JEE Advanced full-length mock with 36 questions: 12 Mathematics, 12 Physics, and 12 Chemistry for practical two-paper strategy practice.

JEE Advanced

Exam Pattern & Rules

Total Questions

N/A

Total Marks

N/A

Duration

2 papers of 3 hours each

Marking

Varies by question type and year

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

Questions

Estimated Time

240 minutes

Start Practice Test

JEE Advanced Practice Set 3: all 36 questions with answers

Try each question first, then open “Show answer” to check the correct option and explanation.

Q1.Solve for x: 5x + 6 = 21.
- A.4
- B.2
- C.5
- D.3
Show answer
Correct answer: D. 3
Subtract 6 from both sides: 5x = 15. Divide by 5: x = 3.
Q2.One root of x² − 12x + 35 = 0 is 5. The other root is:
- A.6
- B.12
- C.7
- D.8
Show answer
Correct answer: C. 7
Product of roots = 35. Other root = 35 ÷ 5 = 7.
Q3.The 8th term of an AP with first term 2 and common difference 5 is:
- A.40
- B.37
- C.32
- D.42
Show answer
Correct answer: B. 37
aₙ = a + (n−1)d = 2 + 7×5 = 37.
Q4.Slope of the line through (5, 5) and (8, 17) is:
- A.4
- B.5
- C.3
- D.6
Show answer
Correct answer: A. 4
Slope = (17−5) ÷ (8−5) = 12 ÷ 3 = 4.
Q5.Value of sin 60° is:
- A.1/2
- B.1
- C.1/√2
- D.√3/2
Show answer
Correct answer: D. √3/2
sin 60° = √3/2.
Q6.A bag contains 5 red and 6 blue balls. Probability of drawing a red ball is:
- A.5/10
- B.7/12
- C.5/11
- D.6/12
Show answer
Correct answer: C. 5/11
P(red) = 5/11.
Q7.Determinant of matrix [[5, 1], [4, 5]] is:
- A.19
- B.21
- C.26
- D.18
Show answer
Correct answer: B. 21
det = ad − bc = 5×5 − 1×4 = 21.
Q8.Evaluate: log₂ₐₑₒₓ5(5^5) [log base 5].
- A.5
- B.6
- C.4
- D.25
Show answer
Correct answer: A. 5
logₐ(a^n) = n, so log_5(5^5) = 5.
Q9.Find 8P3.
- A.112
- B.342
- C.330
- D.336
Show answer
Correct answer: D. 336
8P3 = 8!/(8−3)! = 8×7×6 = 336.
Q10.Find 8C2.
- A.31
- B.25
- C.28
- D.16
Show answer
Correct answer: C. 28
nC2 = n(n−1)/2 = 8×7/2 = 28.
Q11.Simple interest on Rs 2500 at 5% p.a. for 4 years is:
- A.Rs 1000
- B.Rs 500
- C.Rs 700
- D.Rs 400
Show answer
Correct answer: B. Rs 500
SI = P×R×T/100 = 2500×5×4/100 = Rs 500.
Q12.Area of a triangle with base 6 cm and height 5 cm is:
- A.15 cm²
- B.30 cm²
- C.21 cm²
- D.9 cm²
Show answer
Correct answer: A. 15 cm²
Area = (1/2) × base × height = (1/2) × 6 × 5 = 15 cm².
Q13.A body starts with velocity 4 m/s and has acceleration 5 m/s². Its velocity after 3 s is:
- A.14 m/s
- B.24 m/s
- C.7 m/s
- D.19 m/s
Show answer
Correct answer: D. 19 m/s
v = u + at = 4 + 5×3 = 19 m/s.
Q14.For u = 5 m/s, a = 2 m/s², t = 6 s, displacement is:
- A.78 m
- B.64 m
- C.66 m
- D.30 m
Show answer
Correct answer: C. 66 m
s = ut + ½At² = 5×6 + 0.5×2×6² = 66 m.
Q15.Net force needed to give 4 kg mass an acceleration of 6 m/s² is:
- A.10 N
- B.24 N
- C.30 N
- D.18 N
Show answer
Correct answer: B. 24 N
F = ma = 4×6 = 24 N.
Q16.Work done when force 60 N moves a body 5 m in its direction is:
- A.300 J
- B.360 J
- C.240 J
- D.65 J
Show answer
Correct answer: A. 300 J
W = F×d = 60×5 = 300 J.
Q17.A body does 600 J of work in 9 s. Its power is:
- A.133.33 W
- B.75.67 W
- C.61.67 W
- D.66.67 W
Show answer
Correct answer: D. 66.67 W
P = W/t = 600/9 = 66.67 W.
Q18.A body of mass 5 kg moves at 5 m/s. Its momentum is:
- A.20 kg·m/s
- B.10 kg·m/s
- C.25 kg·m/s
- D.30 kg·m/s
Show answer
Correct answer: C. 25 kg·m/s
p = mv = 5×5 = 25 kg·m/s.
Q19.Kinetic energy of 5 kg body moving at 6 m/s is:
- A.85 J
- B.90 J
- C.30 J
- D.120 J
Show answer
Correct answer: B. 90 J
KE = ½mv² = 0.5×5×6² = 90 J.
Q20.Voltage across a 4 Ω resistor carrying 4 A current is:
- A.16 V
- B.20 V
- C.11 V
- D.10 V
Show answer
Correct answer: A. 16 V
V = IR = 4×4 = 16 V.
Q21.Two resistors 6 Ω and 7 Ω connected in series. Total resistance is:
- A.42 Ω
- B.1 Ω
- C.15 Ω
- D.13 Ω
Show answer
Correct answer: D. 13 Ω
Series: R = R₁ + R₂ = 6 + 7 = 13 Ω.
Q22.Power of a lens with focal length 40 cm is:
- A.3.5 D
- B.0.4 D
- C.2.5 D
- D.40 D
Show answer
Correct answer: C. 2.5 D
P = 1/f = 1/0.4 m = 2.5 D.
Q23.Wave speed for frequency 50 Hz and wavelength 5 m is:
- A.55 m/s
- B.250 m/s
- C.300 m/s
- D.200 m/s
Show answer
Correct answer: B. 250 m/s
v = fλ = 50×5 = 250 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⁺] = 10⁻11 mol/L, the pH of the solution is:
- A.12
- B.3
- C.10
- D.11
Show answer
Correct answer: D. 11
pH = −log[H⁺] = −log(10⁻11) = 11.
Q26.Molar mass of MgO is:
- A.32 g/mol
- B.44 g/mol
- C.40 g/mol
- D.24 g/mol
Show answer
Correct answer: C. 40 g/mol
Add atomic masses: molar mass of MgO = 40 g/mol.
Q27.Oxidation state of sulfur in SO₂ is:
- A.−2
- B.+4
- C.+6
- D.+2
Show answer
Correct answer: B. +4
2O(−2)+S=0 → S=+4.
Q28.Formula of iron(II) sulfate is:
- A.FeSO₄
- B.Fe₂SO₄
- C.Fe(SO₄)₂
- D.FeSO₃
Show answer
Correct answer: A. FeSO₄
Fe(+2) and SO₄²⁻: FeSO₄.
Q29.Gas produced when CaC₂ reacts with water is:
- A.methane
- B.ethane
- C.propane
- D.acetylene (ethyne)
Show answer
Correct answer: D. acetylene (ethyne)
CaC₂ + 2H₂O → Ca(OH)₂ + C₂H₂↑.
Q30.pH of 0.1 M HCl solution is:
- A.7
- B.0
- C.1
- D.3
Show answer
Correct answer: C. 1
[H⁺]=0.1=10⁻¹; pH=1.
Q31.General formula of alkynes is:
- A.CₙHₙ
- B.CₙH₂ₙ₋₂
- C.CₙH₂ₙ₊₂
- D.CₙH₂ₙ
Show answer
Correct answer: B. CₙH₂ₙ₋₂
Alkynes: CₙH₂ₙ₋₂ (one triple bond).
Q32.Which is a metalloid?
- A.Silicon
- B.Sulphur
- C.Phosphorus
- D.Selenium
Show answer
Correct answer: A. Silicon
Silicon is a common metalloid.
Q33.Number of moles in 56 g of CaO (M = 56 g/mol) is:
- A.2
- B.3
- C.2.5
- D.1
Show answer
Correct answer: D. 1
n = mass/M = 56/56 = 1 mol.
Q34.Isotopes are atoms with same:
- A.same neutrons
- B.same A and Z
- C.atomic number but different mass number
- D.mass number but different Z
Show answer
Correct answer: C. atomic number but different mass number
Isotopes: same Z, different A.
Q35.Electronegativity order: F, O, N, C is:
- A.N > O > C > F
- B.F > O > N > C
- C.C > N > O > F
- D.O > F > N > C
Show answer
Correct answer: B. F > O > N > C
Electronegativity: F > O > N > C.
Q36.Colour of anhydrous copper sulfate (CuSO₄) is:
- A.white
- B.blue
- C.green
- D.yellow
Show answer
Correct answer: A. white
Anhydrous CuSO₄ is white; turns blue on absorbing water.

Disclaimer: Do not hardcode one fixed official question count for JEE Advanced. Use simulated sets and clearly label them as pattern-based practice.

JEE Advanced Practice Set 3

Exam Pattern & Rules

Practice Set Details

JEE Advanced Practice Set 3: all 36 questions with answers

Q1.Solve for x: 5x + 6 = 21.

Q2.One root of x² − 12x + 35 = 0 is 5. The other root is:

Q3.The 8th term of an AP with first term 2 and common difference 5 is:

Q4.Slope of the line through (5, 5) and (8, 17) is:

Q5.Value of sin 60° is:

Q6.A bag contains 5 red and 6 blue balls. Probability of drawing a red ball is:

Q7.Determinant of matrix [[5, 1], [4, 5]] is:

Q8.Evaluate: log₂ₐₑₒₓ5(5^5) [log base 5].

Q9.Find 8P3.

Q10.Find 8C2.

Q11.Simple interest on Rs 2500 at 5% p.a. for 4 years is:

Q12.Area of a triangle with base 6 cm and height 5 cm is:

Q13.A body starts with velocity 4 m/s and has acceleration 5 m/s². Its velocity after 3 s is:

Q14.For u = 5 m/s, a = 2 m/s², t = 6 s, displacement is:

Q15.Net force needed to give 4 kg mass an acceleration of 6 m/s² is:

Q16.Work done when force 60 N moves a body 5 m in its direction is:

Q17.A body does 600 J of work in 9 s. Its power is:

Q18.A body of mass 5 kg moves at 5 m/s. Its momentum is:

Q19.Kinetic energy of 5 kg body moving at 6 m/s is:

Q20.Voltage across a 4 Ω resistor carrying 4 A current is:

Q21.Two resistors 6 Ω and 7 Ω connected in series. Total resistance is:

Q22.Power of a lens with focal length 40 cm is:

Q23.Wave speed for frequency 50 Hz and wavelength 5 m is:

Q24.Gravitational force doubles when one mass doubles:

Q25.If [H⁺] = 10⁻11 mol/L, the pH of the solution is:

Q26.Molar mass of MgO is:

Q27.Oxidation state of sulfur in SO₂ is:

Q28.Formula of iron(II) sulfate is:

Q29.Gas produced when CaC₂ reacts with water is:

Q30.pH of 0.1 M HCl solution is:

Q31.General formula of alkynes is:

Q32.Which is a metalloid?

Q33.Number of moles in 56 g of CaO (M = 56 g/mol) is:

Q34.Isotopes are atoms with same:

Q35.Electronegativity order: F, O, N, C is:

Q36.Colour of anhydrous copper sulfate (CuSO₄) is: