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JEE Main Practice Set 3

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: 5x + 6 = 21.

algebraeasy

Question 2

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

quadratic equationsmedium

Question 3

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

progressionsmedium

Question 4

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

coordinate geometrymedium

Question 5

Value of sin 60° is:

trigonometryeasy

Question 6

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

probabilityeasy

Question 7

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

matricesmedium

Question 8

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

logarithmseasy

Question 9

Find 8P3.

permutationsmedium

Question 10

Find 8C2.

combinationsmedium

Question 11

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

simple interesteasy

Question 12

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

geometryeasy

Question 13

Solve for x: 6x + 7 = 31.

algebraeasy

Question 14

One root of x² − 15x + 54 = 0 is 6. The other root is:

quadratic equationsmedium

Question 15

The 9th term of an AP with first term 3 and common difference 6 is:

progressionsmedium

Question 16

Slope of the line through (6, 6) and (9, 21) is:

coordinate geometrymedium

Question 17

Value of tan 30° is:

trigonometryeasy

Question 18

A bag contains 6 red and 7 blue balls. Probability of drawing a red ball is:

probabilityeasy

Question 19

Determinant of matrix [[6, 2], [5, 6]] is:

matricesmedium

Question 20

Evaluate: log₂ₐₑₒₓ10(10^6) [log base 10].

logarithmseasy

Question 21

Find 9P4.

permutationsmedium

Question 22

Find 9C2.

combinationsmedium

Question 23

Simple interest on Rs 2700 at 6% p.a. for 5 years is:

simple interesteasy

Question 24

Area of a triangle with base 7 cm and height 6 cm is:

geometryeasy

Question 25

Solve for x: 7x + 8 = 43.

algebraeasy

Question 26

One root of x² − 18x + 77 = 0 is 7. The other root is:

quadratic equationsmedium

Question 27

The 10th term of an AP with first term 4 and common difference 7 is:

progressionsmedium

Question 28

Slope of the line through (1, 7) and (4, 25) is:

coordinate geometrymedium

Question 29

Value of tan 60° is:

trigonometryeasy

Question 30

A bag contains 7 red and 8 blue balls. Probability of drawing a red ball is:

probabilityeasy

Question 31

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

kinematicseasy

Question 32

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

kinematicsmedium

Question 33

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

laws of motioneasy

Question 34

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

work and energyeasy

Question 35

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

work and energyeasy

Question 36

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

momentumeasy

Question 37

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

work and energymedium

Question 38

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

current electricityeasy

Question 39

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

current electricityeasy

Question 40

Power of a lens with focal length 40 cm is:

opticsmedium

Question 41

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

wavesmedium

Question 42

Gravitational force doubles when one mass doubles:

gravitationeasy

Question 43

A body starts with velocity 5 m/s and has acceleration 6 m/s². Its velocity after 4 s is:

kinematicseasy

Question 44

For u = 6 m/s, a = 3 m/s², t = 7 s, displacement is:

kinematicsmedium

Question 45

Net force needed to give 5 kg mass an acceleration of 7 m/s² is:

laws of motioneasy

Question 46

Work done when force 65 N moves a body 6 m in its direction is:

work and energyeasy

Question 47

A body does 650 J of work in 10 s. Its power is:

work and energyeasy

Question 48

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

momentumeasy

Question 49

Kinetic energy of 6 kg body moving at 7 m/s is:

work and energymedium

Question 50

Voltage across a 5 Ω resistor carrying 5 A current is:

current electricityeasy

Question 51

Two resistors 7 Ω and 8 Ω connected in series. Total resistance is:

current electricityeasy

Question 52

Power of a lens with focal length 50 cm is:

opticsmedium

Question 53

Wave speed for frequency 70 Hz and wavelength 6 m is:

wavesmedium

Question 54

Gravitational force when separation is tripled becomes:

gravitationeasy

Question 55

A body starts with velocity 6 m/s and has acceleration 7 m/s². Its velocity after 5 s is:

kinematicseasy

Question 56

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

kinematicsmedium

Question 57

Net force needed to give 6 kg mass an acceleration of 8 m/s² is:

laws of motioneasy

Question 58

Work done when force 10 N moves a body 7 m in its direction is:

work and energyeasy

Question 59

A body does 700 J of work in 5 s. Its power is:

work and energyeasy

Question 60

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

momentumeasy

Question 61

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

physical chemistryeasy

Question 62

Molar mass of MgO is:

mole concepteasy

Question 63

Oxidation state of sulfur in SO₂ is:

redox chemistrymedium

Question 64

Formula of iron(II) sulfate is:

chemical bondingeasy

Question 65

Gas produced when CaC₂ reacts with water is:

chemical reactionseasy

Question 66

pH of 0.1 M HCl solution is:

acids and baseseasy

Question 67

General formula of alkynes is:

organic chemistrymedium

Question 68

Which is a metalloid?

periodic tableeasy

Question 69

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

mole conceptmedium

Question 70

Isotopes are atoms with same:

atomic structuremedium

Question 71

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

chemical bondingeasy

Question 72

Colour of anhydrous copper sulfate (CuSO₄) is:

common compoundseasy

Question 73

If [H⁺] = 10⁻12 mol/L, the pH of the solution is:

physical chemistryeasy

Question 74

Molar mass of C₂H₄ is:

mole concepteasy

Question 75

Oxidation state of nitrogen in N₂ gas is:

redox chemistrymedium

Question 76

Formula of copper(II) oxide is:

chemical bondingeasy

Question 77

When excess CO₂ is passed through Ca(OH)₂, precipitate:

chemical reactionseasy

Question 78

Acid that cannot be stored in glass bottles is:

acids and baseseasy

Question 79

Product of fermentation of glucose is:

organic chemistrymedium

Question 80

Halogens belong to which group?

periodic tableeasy

Question 81

Number of moles in 32 g of CH₄ (M = 16 g/mol) is:

mole conceptmedium

Question 82

Shape of s-orbital is:

atomic structuremedium

Question 83

Bond order in O₂ is:

chemical bondingeasy

Question 84

Laughing gas is:

common compoundseasy

Question 85

If [H⁺] = 10⁻13 mol/L, the pH of the solution is:

physical chemistryeasy

Question 86

Molar mass of C₂H₆ is:

mole concepteasy

Question 87

Oxidation state of copper in CuO is:

redox chemistrymedium

Question 88

Formula of magnesium nitrate is:

chemical bondingeasy

Question 89

Reaction of K with water produces:

chemical reactionseasy

Question 90

Common name of Ca(OH)₂ is:

acids and baseseasy

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