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JEE Main Practice Set 2

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: 7x + 10 = 66.

algebraeasy

Question 2

One root of x² − 18x + 80 = 0 is 8. The other root is:

quadratic equationsmedium

Question 3

The 8th term of an AP with first term 7 and common difference 7 is:

progressionsmedium

Question 4

Slope of the line through (6, 7) and (9, 28) is:

coordinate geometrymedium

Question 5

Value of sin 90° is:

trigonometryeasy

Question 6

A bag contains 8 red and 10 blue balls. Probability of drawing a red ball is:

probabilityeasy

Question 7

Determinant of matrix [[7, 1], [3, 8]] is:

matricesmedium

Question 8

Evaluate: log₂ₐₑₒₓ3(3^7) [log base 3].

logarithmseasy

Question 9

Find 11P4.

permutationsmedium

Question 10

Find 12C2.

combinationsmedium

Question 11

Simple interest on Rs 1500 at 9% p.a. for 3 years is:

simple interesteasy

Question 12

Area of a triangle with base 11 cm and height 9 cm is:

geometryeasy

Question 13

Solve for x: 8x + 11 = 83.

algebraeasy

Question 14

One root of x² − 21x + 108 = 0 is 9. The other root is:

quadratic equationsmedium

Question 15

The 9th term of an AP with first term 8 and common difference 8 is:

progressionsmedium

Question 16

Slope of the line through (1, 8) and (4, 32) is:

coordinate geometrymedium

Question 17

Value of cos 90° is:

trigonometryeasy

Question 18

A bag contains 9 red and 11 blue balls. Probability of drawing a red ball is:

probabilityeasy

Question 19

Determinant of matrix [[8, 2], [4, 9]] is:

matricesmedium

Question 20

Evaluate: log₂ₐₑₒₓ5(5^8) [log base 5].

logarithmseasy

Question 21

Find 12P2.

permutationsmedium

Question 22

Find 13C2.

combinationsmedium

Question 23

Simple interest on Rs 1700 at 10% p.a. for 4 years is:

simple interesteasy

Question 24

Area of a triangle with base 12 cm and height 10 cm is:

geometryeasy

Question 25

Solve for x: 2x + 12 = 32.

algebraeasy

Question 26

One root of x² − 24x + 140 = 0 is 10. The other root is:

quadratic equationsmedium

Question 27

The 10th term of an AP with first term 9 and common difference 2 is:

progressionsmedium

Question 28

Slope of the line through (2, 2) and (5, 29) is:

coordinate geometrymedium

Question 29

Value of sin 45° is:

trigonometryeasy

Question 30

A bag contains 10 red and 12 blue balls. Probability of drawing a red ball is:

probabilityeasy

Question 31

A body starts with velocity 7 m/s and has acceleration 7 m/s². Its velocity after 3 s is:

kinematicseasy

Question 32

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

kinematicsmedium

Question 33

Net force needed to give 7 kg mass an acceleration of 8 m/s² is:

laws of motioneasy

Question 34

Work done when force 35 N moves a body 8 m in its direction is:

work and energyeasy

Question 35

A body does 350 J of work in 10 s. Its power is:

work and energyeasy

Question 36

A body of mass 8 kg moves at 9 m/s. Its momentum is:

momentumeasy

Question 37

Kinetic energy of 7 kg body moving at 9 m/s is:

work and energymedium

Question 38

Voltage across a 8 Ω resistor carrying 7 A current is:

current electricityeasy

Question 39

Two resistors 9 Ω and 11 Ω connected in series. Total resistance is:

current electricityeasy

Question 40

Power of a lens with focal length 70 cm is:

opticsmedium

Question 41

Wave speed for frequency 150 Hz and wavelength 7 m is:

wavesmedium

Question 42

Standard acceleration due to gravity at Earth's surface is:

gravitationeasy

Question 43

A body starts with velocity 8 m/s and has acceleration 8 m/s². Its velocity after 4 s is:

kinematicseasy

Question 44

For u = 1 m/s, a = 3 m/s², t = 6 s, displacement is:

kinematicsmedium

Question 45

Net force needed to give 8 kg mass an acceleration of 9 m/s² is:

laws of motioneasy

Question 46

Work done when force 40 N moves a body 9 m in its direction is:

work and energyeasy

Question 47

A body does 400 J of work in 5 s. Its power is:

work and energyeasy

Question 48

A body of mass 9 kg moves at 10 m/s. Its momentum is:

momentumeasy

Question 49

Kinetic energy of 8 kg body moving at 10 m/s is:

work and energymedium

Question 50

Voltage across a 9 Ω resistor carrying 8 A current is:

current electricityeasy

Question 51

Two resistors 10 Ω and 12 Ω connected in series. Total resistance is:

current electricityeasy

Question 52

Power of a lens with focal length 80 cm is:

opticsmedium

Question 53

Wave speed for frequency 170 Hz and wavelength 8 m is:

wavesmedium

Question 54

Weight of a body in free fall is:

gravitationeasy

Question 55

A body starts with velocity 9 m/s and has acceleration 2 m/s². Its velocity after 5 s is:

kinematicseasy

Question 56

For u = 2 m/s, a = 4 m/s², t = 7 s, displacement is:

kinematicsmedium

Question 57

Net force needed to give 9 kg mass an acceleration of 3 m/s² is:

laws of motioneasy

Question 58

Work done when force 45 N moves a body 10 m in its direction is:

work and energyeasy

Question 59

A body does 450 J of work in 6 s. Its power is:

work and energyeasy

Question 60

A body of mass 10 kg moves at 11 m/s. Its momentum is:

momentumeasy

Question 61

If [H⁺] = 10⁻6 mol/L, the pH of the solution is:

physical chemistryeasy

Question 62

Molar mass of HCl is:

mole concepteasy

Question 63

Oxidation state of oxygen in H₂O is:

redox chemistrymedium

Question 64

Formula of iron(III) chloride is:

chemical bondingeasy

Question 65

Gas produced when Na reacts with water is:

chemical reactionseasy

Question 66

Blue litmus paper turns red in:

acids and baseseasy

Question 67

IUPAC name of CH₃OH is:

organic chemistrymedium

Question 68

Which element has electronic configuration 2,8,7?

periodic tableeasy

Question 69

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

mole conceptmedium

Question 70

Electron configuration of Na⁺ is:

atomic structuremedium

Question 71

Hybridisation of carbon in methane (CH₄) is:

chemical bondingeasy

Question 72

Rust is chemically:

common compoundseasy

Question 73

If [H⁺] = 10⁻7 mol/L, the pH of the solution is:

physical chemistryeasy

Question 74

Molar mass of NaOH is:

mole concepteasy

Question 75

Oxidation state of nitrogen in HNO₃ is:

redox chemistrymedium

Question 76

Formula of silver nitrate is:

chemical bondingeasy

Question 77

Gas evolved when limestone reacts with dilute HCl is:

chemical reactionseasy

Question 78

Common name of NaHCO₃ is:

acids and baseseasy

Question 79

IUPAC name of CH₃CHO is:

organic chemistrymedium

Question 80

First element of the periodic table is:

periodic tableeasy

Question 81

Number of moles in 117 g of NaCl (M = 58.5 g/mol) is:

mole conceptmedium

Question 82

Maximum electrons in shell n=3 is:

atomic structuremedium

Question 83

Shape of BF₃ is:

chemical bondingeasy

Question 84

Dry ice is:

common compoundseasy

Question 85

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

physical chemistryeasy

Question 86

Molar mass of CH₄ is:

mole concepteasy

Question 87

Oxidation state of Mn in KMnO₄ is:

redox chemistrymedium

Question 88

Formula of barium sulfate is:

chemical bondingeasy

Question 89

Product when CaO (quicklime) reacts with water is:

chemical reactionseasy

Question 90

Chemical formula of washing soda is:

acids and baseseasy

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