Start JEE Main Practice Set 5

Question 1

Solve for x: 8x + 7 = 31.

algebraeasy

Question 2

One root of x² − 16x + 63 = 0 is 7. The other root is:

quadratic equationsmedium

Question 3

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

progressionsmedium

Question 4

Slope of the line through (3, 8) and (6, 26) is:

coordinate geometrymedium

Question 5

Value of cos 270° is:

trigonometryeasy

Question 6

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

probabilityeasy

Question 7

Determinant of matrix [[8, 1], [2, 7]] is:

matricesmedium

Question 8

Evaluate: log₂ₐₑₒₓ2(2^8) [log base 2].

logarithmseasy

Question 9

Find 10P4.

permutationsmedium

Question 10

Find 9C2.

combinationsmedium

Question 11

Simple interest on Rs 4500 at 6% p.a. for 2 years is:

simple interesteasy

Question 12

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

geometryeasy

Question 13

Solve for x: 2x + 8 = 16.

algebraeasy

Question 14

One root of x² − 19x + 88 = 0 is 8. The other root is:

quadratic equationsmedium

Question 15

The 9th term of an AP with first term 3 and common difference 2 is:

progressionsmedium

Question 16

Slope of the line through (4, 2) and (7, 23) is:

coordinate geometrymedium

Question 17

Value of tan 0° is:

trigonometryeasy

Question 18

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

probabilityeasy

Question 19

Determinant of matrix [[2, 2], [3, 8]] is:

matricesmedium

Question 20

Evaluate: log₂ₐₑₒₓ3(3^2) [log base 3].

logarithmseasy

Question 21

Find 11P2.

permutationsmedium

Question 22

Find 10C2.

combinationsmedium

Question 23

Simple interest on Rs 4700 at 7% p.a. for 3 years is:

simple interesteasy

Question 24

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

geometryeasy

Question 25

Solve for x: 3x + 9 = 24.

algebraeasy

Question 26

One root of x² − 22x + 117 = 0 is 9. The other root is:

quadratic equationsmedium

Question 27

The 10th term of an AP with first term 4 and common difference 3 is:

progressionsmedium

Question 28

Slope of the line through (5, 3) and (8, 27) is:

coordinate geometrymedium

Question 29

Value of sin(−30°) is:

trigonometryeasy

Question 30

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

probabilityeasy

Question 31

A body starts with velocity 6 m/s and has acceleration 8 m/s². Its velocity after 3 s is:

kinematicseasy

Question 32

For u = 3 m/s, a = 2 m/s², t = 4 s, displacement is:

kinematicsmedium

Question 33

Net force needed to give 6 kg mass an acceleration of 9 m/s² is:

laws of motioneasy

Question 34

Work done when force 50 N moves a body 7 m in its direction is:

work and energyeasy

Question 35

A body does 1100 J of work in 7 s. Its power is:

work and energyeasy

Question 36

A body of mass 7 kg moves at 6 m/s. Its momentum is:

momentumeasy

Question 37

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

work and energymedium

Question 38

Voltage across a 5 Ω resistor carrying 6 A current is:

current electricityeasy

Question 39

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

current electricityeasy

Question 40

Power of a lens with focal length 60 cm is:

opticsmedium

Question 41

Wave speed for frequency 50 Hz and wavelength 8 m is:

wavesmedium

Question 42

Gravitational force doubles when one mass doubles:

gravitationeasy

Question 43

A body starts with velocity 7 m/s and has acceleration 2 m/s². Its velocity after 4 s is:

kinematicseasy

Question 44

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

kinematicsmedium

Question 45

Net force needed to give 7 kg mass an acceleration of 3 m/s² is:

laws of motioneasy

Question 46

Work done when force 55 N moves a body 8 m in its direction is:

work and energyeasy

Question 47

A body does 1150 J of work in 8 s. Its power is:

work and energyeasy

Question 48

A body of mass 8 kg moves at 7 m/s. Its momentum is:

momentumeasy

Question 49

Kinetic energy of 2 kg body moving at 9 m/s is:

work and energymedium

Question 50

Voltage across a 6 Ω resistor carrying 7 A current is:

current electricityeasy

Question 51

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

current electricityeasy

Question 52

Power of a lens with focal length 70 cm is:

opticsmedium

Question 53

Wave speed for frequency 70 Hz and wavelength 2 m is:

wavesmedium

Question 54

Gravitational force when separation is tripled becomes:

gravitationeasy

Question 55

A body starts with velocity 8 m/s and has acceleration 3 m/s². Its velocity after 5 s is:

kinematicseasy

Question 56

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

kinematicsmedium

Question 57

Net force needed to give 8 kg mass an acceleration of 4 m/s² is:

laws of motioneasy

Question 58

Work done when force 60 N moves a body 9 m in its direction is:

work and energyeasy

Question 59

A body does 1200 J of work in 9 s. Its power is:

work and energyeasy

Question 60

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

momentumeasy

Question 61

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

physical chemistryeasy

Question 62

Molar mass of Cl₂ is:

mole concepteasy

Question 63

Oxidation state of Zn in ZnSO₄ is:

redox chemistrymedium

Question 64

Formula of manganese(II) oxide is:

chemical bondingeasy

Question 65

Colour of copper sulfate solution is:

chemical reactionseasy

Question 66

Formula of bleaching powder is:

acids and baseseasy

Question 67

Functional group in nitrobenzene is:

organic chemistrymedium

Question 68

Which element in Period 2 has 2 valence electrons?

periodic tableeasy

Question 69

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

mole conceptmedium

Question 70

Heisenberg uncertainty principle:

atomic structuremedium

Question 71

London dispersion forces are present in:

chemical bondingeasy

Question 72

Greenhouse gas produced mainly from fossil fuel combustion is:

common compoundseasy

Question 73

If [H⁺] = 10⁻9 mol/L, the pH of the solution is:

physical chemistryeasy

Question 74

Molar mass of SO₂ is:

mole concepteasy

Question 75

Oxidation state of Na in Na₂O₂ is:

redox chemistrymedium

Question 76

Formula of cobalt(II) chloride is:

chemical bondingeasy

Question 77

PbS precipitate colour with H₂S in lead acetate solution is:

chemical reactionseasy

Question 78

Neutralisation of acid with base always produces:

acids and baseseasy

Question 79

Saponification reaction: ester + alkali gives:

organic chemistrymedium

Question 80

Which pair is in the same group of the periodic table?

periodic tableeasy

Question 81

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

mole conceptmedium

Question 82

3d subshell electrons of Fe²⁺ (Z=26) is:

atomic structuremedium

Question 83

Which has the shortest bond length?

chemical bondingeasy

Question 84

Formula of washing soda is:

common compoundseasy

Question 85

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

physical chemistryeasy

Question 86

Molar mass of NO₂ is:

mole concepteasy

Question 87

Oxidation state of carbon in CO is:

redox chemistrymedium

Question 88

Formula of chromium(III) chloride is:

chemical bondingeasy

Question 89

Gas used to test for presence of unsaturation in organic compound:

chemical reactionseasy

Question 90

A buffer solution resists change in:

acids and baseseasy

JEE Main Practice Set 5

Your progress

Solve for x: 8x + 7 = 31.

One root of x² − 16x + 63 = 0 is 7. The other root is:

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

Slope of the line through (3, 8) and (6, 26) is:

Value of cos 270° is:

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

Determinant of matrix [[8, 1], [2, 7]] is:

Evaluate: log₂ₐₑₒₓ2(2^8) [log base 2].

Find 10P4.

Find 9C2.

Simple interest on Rs 4500 at 6% p.a. for 2 years is:

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

Solve for x: 2x + 8 = 16.

One root of x² − 19x + 88 = 0 is 8. The other root is:

The 9th term of an AP with first term 3 and common difference 2 is:

Slope of the line through (4, 2) and (7, 23) is:

Value of tan 0° is:

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

Determinant of matrix [[2, 2], [3, 8]] is:

Evaluate: log₂ₐₑₒₓ3(3^2) [log base 3].

Find 11P2.

Find 10C2.

Simple interest on Rs 4700 at 7% p.a. for 3 years is:

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

Solve for x: 3x + 9 = 24.

One root of x² − 22x + 117 = 0 is 9. The other root is:

The 10th term of an AP with first term 4 and common difference 3 is:

Slope of the line through (5, 3) and (8, 27) is:

Value of sin(−30°) is:

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

A body starts with velocity 6 m/s and has acceleration 8 m/s². Its velocity after 3 s is:

For u = 3 m/s, a = 2 m/s², t = 4 s, displacement is:

Net force needed to give 6 kg mass an acceleration of 9 m/s² is:

Work done when force 50 N moves a body 7 m in its direction is:

A body does 1100 J of work in 7 s. Its power is:

A body of mass 7 kg moves at 6 m/s. Its momentum is:

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

Voltage across a 5 Ω resistor carrying 6 A current is:

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

Power of a lens with focal length 60 cm is:

Wave speed for frequency 50 Hz and wavelength 8 m is:

Gravitational force doubles when one mass doubles:

A body starts with velocity 7 m/s and has acceleration 2 m/s². Its velocity after 4 s is:

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

Net force needed to give 7 kg mass an acceleration of 3 m/s² is:

Work done when force 55 N moves a body 8 m in its direction is:

A body does 1150 J of work in 8 s. Its power is:

A body of mass 8 kg moves at 7 m/s. Its momentum is:

Kinetic energy of 2 kg body moving at 9 m/s is:

Voltage across a 6 Ω resistor carrying 7 A current is:

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

Power of a lens with focal length 70 cm is:

Wave speed for frequency 70 Hz and wavelength 2 m is:

Gravitational force when separation is tripled becomes:

A body starts with velocity 8 m/s and has acceleration 3 m/s². Its velocity after 5 s is:

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

Net force needed to give 8 kg mass an acceleration of 4 m/s² is:

Work done when force 60 N moves a body 9 m in its direction is:

A body does 1200 J of work in 9 s. Its power is:

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

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

Molar mass of Cl₂ is:

Oxidation state of Zn in ZnSO₄ is:

Formula of manganese(II) oxide is:

Colour of copper sulfate solution is:

Formula of bleaching powder is:

Functional group in nitrobenzene is:

Which element in Period 2 has 2 valence electrons?

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

Heisenberg uncertainty principle:

London dispersion forces are present in:

Greenhouse gas produced mainly from fossil fuel combustion is:

If [H⁺] = 10⁻9 mol/L, the pH of the solution is:

Molar mass of SO₂ is:

Oxidation state of Na in Na₂O₂ is:

Formula of cobalt(II) chloride is:

PbS precipitate colour with H₂S in lead acetate solution is:

Neutralisation of acid with base always produces: