Start JEE Main Practice Set 4

Question 1

Solve for x: 3x + 11 = 35.

algebraeasy

Question 2

One root of x² − 22x + 120 = 0 is 10. The other root is:

quadratic equationsmedium

Question 3

The 8th term of an AP with first term 7 and common difference 3 is:

progressionsmedium

Question 4

Slope of the line through (4, 3) and (7, 30) is:

coordinate geometrymedium

Question 5

Value of sin 150° is:

trigonometryeasy

Question 6

A bag contains 10 red and 11 blue balls. Probability of drawing a red ball is:

probabilityeasy

Question 7

Determinant of matrix [[3, 1], [5, 10]] is:

matricesmedium

Question 8

Evaluate: log₂ₐₑₒₓ10(10^3) [log base 10].

logarithmseasy

Question 9

Find 13P2.

permutationsmedium

Question 10

Find 13C2.

combinationsmedium

Question 11

Simple interest on Rs 3500 at 10% p.a. for 5 years is:

simple interesteasy

Question 12

Area of a triangle with base 11 cm and height 10 cm is:

geometryeasy

Question 13

Solve for x: 4x + 12 = 48.

algebraeasy

Question 14

One root of x² − 9x + 18 = 0 is 3. The other root is:

quadratic equationsmedium

Question 15

The 9th term of an AP with first term 8 and common difference 4 is:

progressionsmedium

Question 16

Slope of the line through (5, 4) and (8, 10) is:

coordinate geometrymedium

Question 17

Value of cos 150° is:

trigonometryeasy

Question 18

A bag contains 3 red and 12 blue balls. Probability of drawing a red ball is:

probabilityeasy

Question 19

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

matricesmedium

Question 20

Evaluate: log₂ₐₑₒₓ2(2^4) [log base 2].

logarithmseasy

Question 21

Find 6P3.

permutationsmedium

Question 22

Find 14C2.

combinationsmedium

Question 23

Simple interest on Rs 3700 at 11% p.a. for 2 years is:

simple interesteasy

Question 24

Area of a triangle with base 12 cm and height 11 cm is:

geometryeasy

Question 25

Solve for x: 5x + 13 = 63.

algebraeasy

Question 26

One root of x² − 12x + 32 = 0 is 4. The other root is:

quadratic equationsmedium

Question 27

The 10th term of an AP with first term 9 and common difference 5 is:

progressionsmedium

Question 28

Slope of the line through (6, 5) and (9, 14) is:

coordinate geometrymedium

Question 29

Value of sin 180° is:

trigonometryeasy

Question 30

A bag contains 4 red and 13 blue balls. Probability of drawing a red ball is:

probabilityeasy

Question 31

A body starts with velocity 9 m/s and has acceleration 3 m/s². Its velocity after 3 s is:

kinematicseasy

Question 32

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

kinematicsmedium

Question 33

Net force needed to give 9 kg mass an acceleration of 4 m/s² is:

laws of motioneasy

Question 34

Work done when force 25 N moves a body 10 m in its direction is:

work and energyeasy

Question 35

A body does 850 J of work in 8 s. Its power is:

work and energyeasy

Question 36

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

momentumeasy

Question 37

Kinetic energy of 3 kg body moving at 11 m/s is:

work and energymedium

Question 38

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

current electricityeasy

Question 39

Two resistors 11 Ω and 12 Ω connected in series. Total resistance is:

current electricityeasy

Question 40

Power of a lens with focal length 90 cm is:

opticsmedium

Question 41

Wave speed for frequency 150 Hz and wavelength 3 m is:

wavesmedium

Question 42

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

gravitationeasy

Question 43

A body starts with velocity 2 m/s and has acceleration 4 m/s². Its velocity after 4 s is:

kinematicseasy

Question 44

For u = 5 m/s, a = 3 m/s², t = 4 s, displacement is:

kinematicsmedium

Question 45

Net force needed to give 2 kg mass an acceleration of 5 m/s² is:

laws of motioneasy

Question 46

Work done when force 30 N moves a body 3 m in its direction is:

work and energyeasy

Question 47

A body does 900 J of work in 9 s. Its power is:

work and energyeasy

Question 48

A body of mass 3 kg moves at 11 m/s. Its momentum is:

momentumeasy

Question 49

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

work and energymedium

Question 50

Voltage across a 10 Ω resistor carrying 2 A current is:

current electricityeasy

Question 51

Two resistors 4 Ω and 13 Ω connected in series. Total resistance is:

current electricityeasy

Question 52

Power of a lens with focal length 20 cm is:

opticsmedium

Question 53

Wave speed for frequency 170 Hz and wavelength 4 m is:

wavesmedium

Question 54

Weight of a body in free fall is:

gravitationeasy

Question 55

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

kinematicseasy

Question 56

For u = 6 m/s, a = 4 m/s², t = 5 s, displacement is:

kinematicsmedium

Question 57

Net force needed to give 3 kg mass an acceleration of 6 m/s² is:

laws of motioneasy

Question 58

Work done when force 35 N moves a body 4 m in its direction is:

work and energyeasy

Question 59

A body does 950 J of work in 10 s. Its power is:

work and energyeasy

Question 60

A body of mass 4 kg moves at 12 m/s. Its momentum is:

momentumeasy

Question 61

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

physical chemistryeasy

Question 62

Molar mass of CaCl₂ is:

mole concepteasy

Question 63

Oxidation state of sulfur in Na₂S is:

redox chemistrymedium

Question 64

Formula of lithium oxide is:

chemical bondingeasy

Question 65

Product when P₂O₅ reacts with water is:

chemical reactionseasy

Question 66

Which salt hydrolyses to give acidic solution?

acids and baseseasy

Question 67

Tollens’ reagent (silver mirror test) is given by:

organic chemistrymedium

Question 68

Which metal is liquid at room temperature?

periodic tableeasy

Question 69

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

mole conceptmedium

Question 70

De Broglie wavelength is:

atomic structuremedium

Question 71

Bond angle in methane (CH₄) is:

chemical bondingeasy

Question 72

Hypo (sodium thiosulfate) is used in photography to:

common compoundseasy

Question 73

If [H⁺] = 10⁻4 mol/L, the pH of the solution is:

physical chemistryeasy

Question 74

Molar mass of O₂ is:

mole concepteasy

Question 75

Oxidation state of iron in FeCl₃ is:

redox chemistrymedium

Question 76

Formula of copper(I) chloride is:

chemical bondingeasy

Question 77

White precipitate formed when AgNO₃ reacts with HCl is:

chemical reactionseasy

Question 78

Concentrated H₂SO₄ acts as:

acids and baseseasy

Question 79

Reagent that converts alkene to alkane is:

organic chemistrymedium

Question 80

The most abundant element in Earth’s crust is:

periodic tableeasy

Question 81

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

mole conceptmedium

Question 82

Photoelectric effect proves light has:

atomic structuremedium

Question 83

Ionic bond typically forms between:

chemical bondingeasy

Question 84

Philosopher’s wool is:

common compoundseasy

Question 85

If [H⁺] = 10⁻5 mol/L, the pH of the solution is:

physical chemistryeasy

Question 86

Molar mass of N₂ is:

mole concepteasy

Question 87

Oxidation state of carbon in CH₄ is:

redox chemistrymedium

Question 88

Formula of nickel(II) sulfate is:

chemical bondingeasy

Question 89

Brown gas formed when Cu reacts with dil. HNO₃ is:

chemical reactionseasy

Question 90

Which acid is used in car batteries?

acids and baseseasy

JEE Main Practice Set 4

Your progress

Solve for x: 3x + 11 = 35.

One root of x² − 22x + 120 = 0 is 10. The other root is:

The 8th term of an AP with first term 7 and common difference 3 is:

Slope of the line through (4, 3) and (7, 30) is:

Value of sin 150° is:

A bag contains 10 red and 11 blue balls. Probability of drawing a red ball is:

Determinant of matrix [[3, 1], [5, 10]] is:

Evaluate: log₂ₐₑₒₓ10(10^3) [log base 10].

Find 13P2.

Find 13C2.

Simple interest on Rs 3500 at 10% p.a. for 5 years is:

Area of a triangle with base 11 cm and height 10 cm is:

Solve for x: 4x + 12 = 48.

One root of x² − 9x + 18 = 0 is 3. The other root is:

The 9th term of an AP with first term 8 and common difference 4 is:

Slope of the line through (5, 4) and (8, 10) is:

Value of cos 150° is:

A bag contains 3 red and 12 blue balls. Probability of drawing a red ball is:

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

Evaluate: log₂ₐₑₒₓ2(2^4) [log base 2].

Find 6P3.

Find 14C2.

Simple interest on Rs 3700 at 11% p.a. for 2 years is:

Area of a triangle with base 12 cm and height 11 cm is:

Solve for x: 5x + 13 = 63.

One root of x² − 12x + 32 = 0 is 4. The other root is:

The 10th term of an AP with first term 9 and common difference 5 is:

Slope of the line through (6, 5) and (9, 14) is:

Value of sin 180° is:

A bag contains 4 red and 13 blue balls. Probability of drawing a red ball is:

A body starts with velocity 9 m/s and has acceleration 3 m/s². Its velocity after 3 s is:

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

Net force needed to give 9 kg mass an acceleration of 4 m/s² is:

Work done when force 25 N moves a body 10 m in its direction is:

A body does 850 J of work in 8 s. Its power is:

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

Kinetic energy of 3 kg body moving at 11 m/s is:

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

Two resistors 11 Ω and 12 Ω connected in series. Total resistance is:

Power of a lens with focal length 90 cm is:

Wave speed for frequency 150 Hz and wavelength 3 m is:

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

A body starts with velocity 2 m/s and has acceleration 4 m/s². Its velocity after 4 s is:

For u = 5 m/s, a = 3 m/s², t = 4 s, displacement is:

Net force needed to give 2 kg mass an acceleration of 5 m/s² is:

Work done when force 30 N moves a body 3 m in its direction is:

A body does 900 J of work in 9 s. Its power is:

A body of mass 3 kg moves at 11 m/s. Its momentum is:

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

Voltage across a 10 Ω resistor carrying 2 A current is:

Two resistors 4 Ω and 13 Ω connected in series. Total resistance is:

Power of a lens with focal length 20 cm is:

Wave speed for frequency 170 Hz and wavelength 4 m is:

Weight of a body in free fall is:

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

For u = 6 m/s, a = 4 m/s², t = 5 s, displacement is:

Net force needed to give 3 kg mass an acceleration of 6 m/s² is:

Work done when force 35 N moves a body 4 m in its direction is:

A body does 950 J of work in 10 s. Its power is:

A body of mass 4 kg moves at 12 m/s. Its momentum is:

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

Molar mass of CaCl₂ is:

Oxidation state of sulfur in Na₂S is:

Formula of lithium oxide is:

Product when P₂O₅ reacts with water is:

Which salt hydrolyses to give acidic solution?

Tollens’ reagent (silver mirror test) is given by:

Which metal is liquid at room temperature?

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

De Broglie wavelength is:

Bond angle in methane (CH₄) is:

Hypo (sodium thiosulfate) is used in photography to:

If [H⁺] = 10⁻4 mol/L, the pH of the solution is:

Molar mass of O₂ is:

Oxidation state of iron in FeCl₃ is:

Formula of copper(I) chloride is:

White precipitate formed when AgNO₃ reacts with HCl is:

Concentrated H₂SO₄ acts as: