JEE Advanced

JEE Advanced Practice Set 5

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 5: all 36 questions with answers

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

Q1.Solve for x: 8x + 7 = 31.
- A.4
- B.2
- C.5
- D.3
Show answer
Correct answer: D. 3
Subtract 7 from both sides: 8x = 24. Divide by 8: x = 3.
Q2.One root of x² − 16x + 63 = 0 is 7. The other root is:
- A.8
- B.16
- C.9
- D.10
Show answer
Correct answer: C. 9
Product of roots = 63. Other root = 63 ÷ 7 = 9.
Q3.The 8th term of an AP with first term 2 and common difference 8 is:
- A.61
- B.58
- C.50
- D.66
Show answer
Correct answer: B. 58
aₙ = a + (n−1)d = 2 + 7×8 = 58.
Q4.Slope of the line through (3, 8) and (6, 26) is:
- A.6
- B.7
- C.5
- D.8
Show answer
Correct answer: A. 6
Slope = (26−8) ÷ (6−3) = 18 ÷ 3 = 6.
Q5.Value of cos 270° is:
- A.1
- B.−1
- C.1/2
- D.0
Show answer
Correct answer: D. 0
cos 270° = 0.
Q6.A bag contains 7 red and 7 blue balls. Probability of drawing a red ball is:
- A.7/13
- B.8/15
- C.7/14
- D.7/15
Show answer
Correct answer: C. 7/14
P(red) = 7/14.
Q7.Determinant of matrix [[8, 1], [2, 7]] is:
- A.22
- B.54
- C.59
- D.51
Show answer
Correct answer: B. 54
det = ad − bc = 8×7 − 1×2 = 54.
Q8.Evaluate: log₂ₐₑₒₓ2(2^8) [log base 2].
- A.8
- B.9
- C.7
- D.16
Show answer
Correct answer: A. 8
logₐ(a^n) = n, so log_2(2^8) = 8.
Q9.Find 10P4.
- A.1260
- B.5048
- C.5032
- D.5040
Show answer
Correct answer: D. 5040
10P4 = 10!/(10−4)! = 10×9×8×7 = 5040.
Q10.Find 9C2.
- A.39
- B.33
- C.36
- D.18
Show answer
Correct answer: C. 36
nC2 = n(n−1)/2 = 9×8/2 = 36.
Q11.Simple interest on Rs 4500 at 6% p.a. for 2 years is:
- A.Rs 1080
- B.Rs 540
- C.Rs 660
- D.Rs 480
Show answer
Correct answer: B. Rs 540
SI = P×R×T/100 = 4500×6×2/100 = Rs 540.
Q12.Area of a triangle with base 6 cm and height 6 cm is:
- A.18 cm²
- B.36 cm²
- C.24 cm²
- D.12 cm²
Show answer
Correct answer: A. 18 cm²
Area = (1/2) × base × height = (1/2) × 6 × 6 = 18 cm².
Q13.A body starts with velocity 6 m/s and has acceleration 8 m/s². Its velocity after 3 s is:
- A.22 m/s
- B.38 m/s
- C.9 m/s
- D.30 m/s
Show answer
Correct answer: D. 30 m/s
v = u + at = 6 + 8×3 = 30 m/s.
Q14.For u = 3 m/s, a = 2 m/s², t = 4 s, displacement is:
- A.36 m
- B.26 m
- C.28 m
- D.12 m
Show answer
Correct answer: C. 28 m
s = ut + ½At² = 3×4 + 0.5×2×4² = 28 m.
Q15.Net force needed to give 6 kg mass an acceleration of 9 m/s² is:
- A.15 N
- B.54 N
- C.63 N
- D.45 N
Show answer
Correct answer: B. 54 N
F = ma = 6×9 = 54 N.
Q16.Work done when force 50 N moves a body 7 m in its direction is:
- A.350 J
- B.400 J
- C.300 J
- D.57 J
Show answer
Correct answer: A. 350 J
W = F×d = 50×7 = 350 J.
Q17.A body does 1100 J of work in 7 s. Its power is:
- A.314.29 W
- B.164.14 W
- C.152.14 W
- D.157.14 W
Show answer
Correct answer: D. 157.14 W
P = W/t = 1100/7 = 157.14 W.
Q18.A body of mass 7 kg moves at 6 m/s. Its momentum is:
- A.36 kg·m/s
- B.13 kg·m/s
- C.42 kg·m/s
- D.49 kg·m/s
Show answer
Correct answer: C. 42 kg·m/s
p = mv = 7×6 = 42 kg·m/s.
Q19.Kinetic energy of 8 kg body moving at 8 m/s is:
- A.248 J
- B.256 J
- C.64 J
- D.320 J
Show answer
Correct answer: B. 256 J
KE = ½mv² = 0.5×8×8² = 256 J.
Q20.Voltage across a 5 Ω resistor carrying 6 A current is:
- A.30 V
- B.35 V
- C.23 V
- D.13 V
Show answer
Correct answer: A. 30 V
V = IR = 6×5 = 30 V.
Q21.Two resistors 8 Ω and 8 Ω connected in series. Total resistance is:
- A.64 Ω
- B.0 Ω
- C.18 Ω
- D.16 Ω
Show answer
Correct answer: D. 16 Ω
Series: R = R₁ + R₂ = 8 + 8 = 16 Ω.
Q22.Power of a lens with focal length 60 cm is:
- A.2.67 D
- B.0.6 D
- C.1.67 D
- D.60 D
Show answer
Correct answer: C. 1.67 D
P = 1/f = 1/0.6 m = 1.67 D.
Q23.Wave speed for frequency 50 Hz and wavelength 8 m is:
- A.58 m/s
- B.400 m/s
- C.450 m/s
- D.320 m/s
Show answer
Correct answer: B. 400 m/s
v = fλ = 50×8 = 400 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⁺] = 10⁻8 mol/L, the pH of the solution is:
- A.9
- B.6
- C.7
- D.8
Show answer
Correct answer: D. 8
pH = −log[H⁺] = −log(10⁻8) = 8.
Q26.Molar mass of Cl₂ is:
- A.70 g/mol
- B.72 g/mol
- C.71 g/mol
- D.35.5 g/mol
Show answer
Correct answer: C. 71 g/mol
Add atomic masses: molar mass of Cl₂ = 71 g/mol.
Q27.Oxidation state of Zn in ZnSO₄ is:
- A.+3
- B.+2
- C.+1
- D.0
Show answer
Correct answer: B. +2
SO₄=−2, Zn=+2.
Q28.Formula of manganese(II) oxide is:
- A.MnO
- B.Mn₂O₃
- C.MnO₂
- D.Mn₃O₄
Show answer
Correct answer: A. MnO
Mn(+2) and O(−2): MnO.
Q29.Colour of copper sulfate solution is:
- A.green
- B.colourless
- C.pink
- D.blue
Show answer
Correct answer: D. blue
CuSO₄ solution is blue due to [Cu(H₂O)₄]²⁺.
Q30.Formula of bleaching powder is:
- A.CaCl₂
- B.Ca(ClO₃)₂
- C.Ca(OCl)Cl
- D.CaO
Show answer
Correct answer: C. Ca(OCl)Cl
Bleaching powder = Ca(OCl)Cl.
Q31.Functional group in nitrobenzene is:
- A.−COOH
- B.−NO₂ (nitro)
- C.−NH₂ (amine)
- D.−OH
Show answer
Correct answer: B. −NO₂ (nitro)
C₆H₅NO₂ has a nitro group.
Q32.Which element in Period 2 has 2 valence electrons?
- A.Beryllium
- B.Magnesium
- C.Lithium
- D.Boron
Show answer
Correct answer: A. Beryllium
Be (Z=4): config 2,2 → Period 2, Group 2.
Q33.Number of moles in 40 g of NaOH (M = 40 g/mol) is:
- A.2
- B.3
- C.2.5
- D.1
Show answer
Correct answer: D. 1
n = mass/M = 40/40 = 1 mol.
Q34.Heisenberg uncertainty principle:
- A.energy is conserved
- B.photons have mass
- C.position and momentum cannot both be measured precisely simultaneously
- D.electrons move in fixed orbits
Show answer
Correct answer: C. position and momentum cannot both be measured precisely simultaneously
Δx·Δp ≥ h/(4π).
Q35.London dispersion forces are present in:
- A.metals only
- B.all molecules
- C.polar molecules only
- D.ionic compounds only
Show answer
Correct answer: B. all molecules
London forces arise from temporary dipoles in all molecules.
Q36.Greenhouse gas produced mainly from fossil fuel combustion is:
- A.CO₂
- B.O₂
- C.N₂
- D.H₂
Show answer
Correct answer: A. CO₂
CO₂ is the primary greenhouse gas from human activity.

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 5

Exam Pattern & Rules

Practice Set Details

JEE Advanced Practice Set 5: all 36 questions with answers

Q1.Solve for x: 8x + 7 = 31.

Q2.One root of x² − 16x + 63 = 0 is 7. The other root is:

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

Q4.Slope of the line through (3, 8) and (6, 26) is:

Q5.Value of cos 270° is:

Q6.A bag contains 7 red and 7 blue balls. Probability of drawing a red ball is:

Q7.Determinant of matrix [[8, 1], [2, 7]] is:

Q8.Evaluate: log₂ₐₑₒₓ2(2^8) [log base 2].

Q9.Find 10P4.

Q10.Find 9C2.

Q11.Simple interest on Rs 4500 at 6% p.a. for 2 years is:

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

Q13.A body starts with velocity 6 m/s and has acceleration 8 m/s². Its velocity after 3 s is:

Q14.For u = 3 m/s, a = 2 m/s², t = 4 s, displacement is:

Q15.Net force needed to give 6 kg mass an acceleration of 9 m/s² is:

Q16.Work done when force 50 N moves a body 7 m in its direction is:

Q17.A body does 1100 J of work in 7 s. Its power is:

Q18.A body of mass 7 kg moves at 6 m/s. Its momentum is:

Q19.Kinetic energy of 8 kg body moving at 8 m/s is:

Q20.Voltage across a 5 Ω resistor carrying 6 A current is:

Q21.Two resistors 8 Ω and 8 Ω connected in series. Total resistance is:

Q22.Power of a lens with focal length 60 cm is:

Q23.Wave speed for frequency 50 Hz and wavelength 8 m is:

Q24.Gravitational force doubles when one mass doubles:

Q25.If [H⁺] = 10⁻8 mol/L, the pH of the solution is:

Q26.Molar mass of Cl₂ is:

Q27.Oxidation state of Zn in ZnSO₄ is:

Q28.Formula of manganese(II) oxide is:

Q29.Colour of copper sulfate solution is:

Q30.Formula of bleaching powder is:

Q31.Functional group in nitrobenzene is:

Q32.Which element in Period 2 has 2 valence electrons?

Q33.Number of moles in 40 g of NaOH (M = 40 g/mol) is:

Q34.Heisenberg uncertainty principle:

Q35.London dispersion forces are present in:

Q36.Greenhouse gas produced mainly from fossil fuel combustion is: