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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.

90 Questions~180 minintermediateJEE Main

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Answer all questions, then submit to see your score and explanations.

Answered: 0/90

Question 1

Solve for x: 2x + 5 = 11.

algebraeasy

Question 2

One root of x² − 8x + 15 = 0 is 3. The other root is:

quadratic equationsmedium

Question 3

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

progressionsmedium

Question 4

Slope of the line through (1, 2) and (4, 8) is:

coordinate geometrymedium

Question 5

Value of sin 0° is:

trigonometryeasy

Question 6

A bag contains 3 red and 5 blue balls. Probability of drawing a red ball is:

probabilityeasy

Question 7

Determinant of matrix [[2, 1], [2, 3]] is:

matricesmedium

Question 8

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

logarithmseasy

Question 9

Find 6P2.

permutationsmedium

Question 10

Find 7C2.

combinationsmedium

Question 11

Simple interest on Rs 500 at 4% p.a. for 2 years is:

simple interesteasy

Question 12

Area of a triangle with base 6 cm and height 4 cm is:

geometryeasy

Question 13

Solve for x: 3x + 6 = 18.

algebraeasy

Question 14

One root of x² − 11x + 28 = 0 is 4. The other root is:

quadratic equationsmedium

Question 15

The 9th term of an AP with first term 3 and common difference 3 is:

progressionsmedium

Question 16

Slope of the line through (2, 3) and (5, 12) is:

coordinate geometrymedium

Question 17

Value of cos 0° is:

trigonometryeasy

Question 18

A bag contains 4 red and 6 blue balls. Probability of drawing a red ball is:

probabilityeasy

Question 19

Determinant of matrix [[3, 2], [3, 4]] is:

matricesmedium

Question 20

Evaluate: log₂ₐₑₒₓ3(3^3) [log base 3].

logarithmseasy

Question 21

Find 7P3.

permutationsmedium

Question 22

Find 8C2.

combinationsmedium

Question 23

Simple interest on Rs 700 at 5% p.a. for 3 years is:

simple interesteasy

Question 24

Area of a triangle with base 7 cm and height 5 cm is:

geometryeasy

Question 25

Solve for x: 4x + 7 = 27.

algebraeasy

Question 26

One root of x² − 14x + 45 = 0 is 5. The other root is:

quadratic equationsmedium

Question 27

The 10th term of an AP with first term 4 and common difference 4 is:

progressionsmedium

Question 28

Slope of the line through (3, 4) and (6, 16) is:

coordinate geometrymedium

Question 29

Value of sin 30° is:

trigonometryeasy

Question 30

A bag contains 5 red and 7 blue balls. Probability of drawing a red ball is:

probabilityeasy

Question 31

A body starts with velocity 2 m/s and has acceleration 2 m/s². Its velocity after 3 s is:

kinematicseasy

Question 32

For u = 1 m/s, a = 2 m/s², t = 4 s, displacement is:

kinematicsmedium

Question 33

Net force needed to give 2 kg mass an acceleration of 3 m/s² is:

laws of motioneasy

Question 34

Work done when force 10 N moves a body 3 m in its direction is:

work and energyeasy

Question 35

A body does 100 J of work in 5 s. Its power is:

work and energyeasy

Question 36

A body of mass 3 kg moves at 4 m/s. Its momentum is:

momentumeasy

Question 37

Kinetic energy of 2 kg body moving at 4 m/s is:

work and energymedium

Question 38

Voltage across a 3 Ω resistor carrying 2 A current is:

current electricityeasy

Question 39

Two resistors 4 Ω and 6 Ω connected in series. Total resistance is:

current electricityeasy

Question 40

Power of a lens with focal length 20 cm is:

opticsmedium

Question 41

Wave speed for frequency 50 Hz and wavelength 2 m is:

wavesmedium

Question 42

Gravitational force doubles when one mass doubles:

gravitationeasy

Question 43

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

kinematicseasy

Question 44

For u = 2 m/s, a = 3 m/s², t = 5 s, displacement is:

kinematicsmedium

Question 45

Net force needed to give 3 kg mass an acceleration of 4 m/s² is:

laws of motioneasy

Question 46

Work done when force 15 N moves a body 4 m in its direction is:

work and energyeasy

Question 47

A body does 150 J of work in 6 s. Its power is:

work and energyeasy

Question 48

A body of mass 4 kg moves at 5 m/s. Its momentum is:

momentumeasy

Question 49

Kinetic energy of 3 kg body moving at 5 m/s is:

work and energymedium

Question 50

Voltage across a 4 Ω resistor carrying 3 A current is:

current electricityeasy

Question 51

Two resistors 5 Ω and 7 Ω connected in series. Total resistance is:

current electricityeasy

Question 52

Power of a lens with focal length 30 cm is:

opticsmedium

Question 53

Wave speed for frequency 70 Hz and wavelength 3 m is:

wavesmedium

Question 54

Gravitational force when separation is tripled becomes:

gravitationeasy

Question 55

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

kinematicseasy

Question 56

For u = 3 m/s, a = 4 m/s², t = 6 s, displacement is:

kinematicsmedium

Question 57

Net force needed to give 4 kg mass an acceleration of 5 m/s² is:

laws of motioneasy

Question 58

Work done when force 20 N moves a body 5 m in its direction is:

work and energyeasy

Question 59

A body does 200 J of work in 7 s. Its power is:

work and energyeasy

Question 60

A body of mass 5 kg moves at 6 m/s. Its momentum is:

momentumeasy

Question 61

If [H⁺] = 10⁻1 mol/L, the pH of the solution is:

physical chemistryeasy

Question 62

Molar mass of H₂O is:

mole concepteasy

Question 63

Oxidation state of sulfur in H₂SO₄ is:

redox chemistrymedium

Question 64

Formula of compound formed by Na⁺ and O²⁻ is:

chemical bondingeasy

Question 65

Gas evolved when zinc reacts with dilute HCl is:

chemical reactionseasy

Question 66

Which is a strong acid?

acids and baseseasy

Question 67

Functional group in ethanol is:

organic chemistrymedium

Question 68

Which element belongs to Group 1 (alkali metals)?

periodic tableeasy

Question 69

Number of moles in 18 g of H₂O (M = 18 g/mol) is:

mole conceptmedium

Question 70

Electronic configuration 2,8,1 corresponds to:

atomic structuremedium

Question 71

Which is a covalent compound?

chemical bondingeasy

Question 72

Common name of NaHCO₃ is:

common compoundseasy

Question 73

If [H⁺] = 10⁻2 mol/L, the pH of the solution is:

physical chemistryeasy

Question 74

Molar mass of CO₂ is:

mole concepteasy

Question 75

Oxidation state of nitrogen in NH₃ is:

redox chemistrymedium

Question 76

Formula of magnesium chloride is:

chemical bondingeasy

Question 77

Gas evolved when Na₂CO₃ reacts with HCl is:

chemical reactionseasy

Question 78

Which is a weak acid?

acids and baseseasy

Question 79

Functional group in ethanoic acid is:

organic chemistrymedium

Question 80

Atomic number of carbon is:

periodic tableeasy

Question 81

Number of moles in 88 g of CO₂ (M = 44 g/mol) is:

mole conceptmedium

Question 82

Electronic configuration 2,8,8 corresponds to:

atomic structuremedium

Question 83

Bond angle in water molecule is approximately:

chemical bondingeasy

Question 84

Chemical name of common salt (NaCl) is:

common compoundseasy

Question 85

If [H⁺] = 10⁻3 mol/L, the pH of the solution is:

physical chemistryeasy

Question 86

Molar mass of NH₃ is:

mole concepteasy

Question 87

Oxidation state of carbon in CO₂ is:

redox chemistrymedium

Question 88

Formula of aluminium oxide is:

chemical bondingeasy

Question 89

Gas evolved when NH₄Cl reacts with Ca(OH)₂ is:

chemical reactionseasy

Question 90

pH of pure water at 25°C is:

acids and baseseasy

Please answer all questions before submitting.

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