JEE Main Practice Set 1
Original JEE Main-style full-length set with 90 unique questions: 30 Mathematics, 30 Physics, and 30 Chemistry following the official exam pattern.
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Answer all questions, then submit to see your score and explanations.
Question 1
Solve for x: 2x + 5 = 11.
Question 2
One root of x² − 8x + 15 = 0 is 3. The other root is:
Question 3
The 8th term of an AP with first term 2 and common difference 2 is:
Question 4
Slope of the line through (1, 2) and (4, 8) is:
Question 5
Value of sin 0° is:
Question 6
A bag contains 3 red and 5 blue balls. Probability of drawing a red ball is:
Question 7
Determinant of matrix [[2, 1], [2, 3]] is:
Question 8
Evaluate: log₂ₐₑₒₓ2(2^2) [log base 2].
Question 9
Find 6P2.
Question 10
Find 7C2.
Question 11
Simple interest on Rs 500 at 4% p.a. for 2 years is:
Question 12
Area of a triangle with base 6 cm and height 4 cm is:
Question 13
Solve for x: 3x + 6 = 18.
Question 14
One root of x² − 11x + 28 = 0 is 4. The other root is:
Question 15
The 9th term of an AP with first term 3 and common difference 3 is:
Question 16
Slope of the line through (2, 3) and (5, 12) is:
Question 17
Value of cos 0° is:
Question 18
A bag contains 4 red and 6 blue balls. Probability of drawing a red ball is:
Question 19
Determinant of matrix [[3, 2], [3, 4]] is:
Question 20
Evaluate: log₂ₐₑₒₓ3(3^3) [log base 3].
Question 21
Find 7P3.
Question 22
Find 8C2.
Question 23
Simple interest on Rs 700 at 5% p.a. for 3 years is:
Question 24
Area of a triangle with base 7 cm and height 5 cm is:
Question 25
Solve for x: 4x + 7 = 27.
Question 26
One root of x² − 14x + 45 = 0 is 5. The other root is:
Question 27
The 10th term of an AP with first term 4 and common difference 4 is:
Question 28
Slope of the line through (3, 4) and (6, 16) is:
Question 29
Value of sin 30° is:
Question 30
A bag contains 5 red and 7 blue balls. Probability of drawing a red ball is:
Question 31
A body starts with velocity 2 m/s and has acceleration 2 m/s². Its velocity after 3 s is:
Question 32
For u = 1 m/s, a = 2 m/s², t = 4 s, displacement is:
Question 33
Net force needed to give 2 kg mass an acceleration of 3 m/s² is:
Question 34
Work done when force 10 N moves a body 3 m in its direction is:
Question 35
A body does 100 J of work in 5 s. Its power is:
Question 36
A body of mass 3 kg moves at 4 m/s. Its momentum is:
Question 37
Kinetic energy of 2 kg body moving at 4 m/s is:
Question 38
Voltage across a 3 Ω resistor carrying 2 A current is:
Question 39
Two resistors 4 Ω and 6 Ω connected in series. Total resistance is:
Question 40
Power of a lens with focal length 20 cm is:
Question 41
Wave speed for frequency 50 Hz and wavelength 2 m is:
Question 42
Gravitational force doubles when one mass doubles:
Question 43
A body starts with velocity 3 m/s and has acceleration 3 m/s². Its velocity after 4 s is:
Question 44
For u = 2 m/s, a = 3 m/s², t = 5 s, displacement is:
Question 45
Net force needed to give 3 kg mass an acceleration of 4 m/s² is:
Question 46
Work done when force 15 N moves a body 4 m in its direction is:
Question 47
A body does 150 J of work in 6 s. Its power is:
Question 48
A body of mass 4 kg moves at 5 m/s. Its momentum is:
Question 49
Kinetic energy of 3 kg body moving at 5 m/s is:
Question 50
Voltage across a 4 Ω resistor carrying 3 A current is:
Question 51
Two resistors 5 Ω and 7 Ω connected in series. Total resistance is:
Question 52
Power of a lens with focal length 30 cm is:
Question 53
Wave speed for frequency 70 Hz and wavelength 3 m is:
Question 54
Gravitational force when separation is tripled becomes:
Question 55
A body starts with velocity 4 m/s and has acceleration 4 m/s². Its velocity after 5 s is:
Question 56
For u = 3 m/s, a = 4 m/s², t = 6 s, displacement is:
Question 57
Net force needed to give 4 kg mass an acceleration of 5 m/s² is:
Question 58
Work done when force 20 N moves a body 5 m in its direction is:
Question 59
A body does 200 J of work in 7 s. Its power is:
Question 60
A body of mass 5 kg moves at 6 m/s. Its momentum is:
Question 61
If [H⁺] = 10⁻1 mol/L, the pH of the solution is:
Question 62
Molar mass of H₂O is:
Question 63
Oxidation state of sulfur in H₂SO₄ is:
Question 64
Formula of compound formed by Na⁺ and O²⁻ is:
Question 65
Gas evolved when zinc reacts with dilute HCl is:
Question 66
Which is a strong acid?
Question 67
Functional group in ethanol is:
Question 68
Which element belongs to Group 1 (alkali metals)?
Question 69
Number of moles in 18 g of H₂O (M = 18 g/mol) is:
Question 70
Electronic configuration 2,8,1 corresponds to:
Question 71
Which is a covalent compound?
Question 72
Common name of NaHCO₃ is:
Question 73
If [H⁺] = 10⁻2 mol/L, the pH of the solution is:
Question 74
Molar mass of CO₂ is:
Question 75
Oxidation state of nitrogen in NH₃ is:
Question 76
Formula of magnesium chloride is:
Question 77
Gas evolved when Na₂CO₃ reacts with HCl is:
Question 78
Which is a weak acid?
Question 79
Functional group in ethanoic acid is:
Question 80
Atomic number of carbon is:
Question 81
Number of moles in 88 g of CO₂ (M = 44 g/mol) is:
Question 82
Electronic configuration 2,8,8 corresponds to:
Question 83
Bond angle in water molecule is approximately:
Question 84
Chemical name of common salt (NaCl) is:
Question 85
If [H⁺] = 10⁻3 mol/L, the pH of the solution is:
Question 86
Molar mass of NH₃ is:
Question 87
Oxidation state of carbon in CO₂ is:
Question 88
Formula of aluminium oxide is:
Question 89
Gas evolved when NH₄Cl reacts with Ca(OH)₂ is:
Question 90
pH of pure water at 25°C is:
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