Author name: Prasanna

Students are advised to practice the NCERT MCQ Questions for class 6 Science Chapter 12 Electricity and Circuits with Answers Pdf free download is available here. MCQ Questions for class 6 Science with Answers are prepared as per the Latest Exam Pattern. Students can solve these Electricity and Circuits class 6 MCQs Questions with Answers and assess their preparation level.

Electricity and Circuits class 6 MCQs Questions with Answers

Solving the Electricity and Circuits Multiple Choice Questions of class 6 Science Chapter 12 MCQ can be of extreme help as you will be aware of all the concepts. These MCQ Questions on Electricity and Circuits class 6 with answers pave for a quick revision of the Chapter thereby helping you to enhance subject knowledge. Have a glance at the MCQ of Chapter 12 Science class 6 and cross-check your answers during preparation.

Question 1.
From where is electricity supplied to our homes ?
(a) Cell
(b) Circuits
(c) Candle
(d) Power station

Answer

(d) Power station
Electricity is supplied to our homes from a power station.

---

Question 2.
A device which supplies light without the use of electricity ?
(a) Electric torch
(b) Candle
(c) Electric rod
(d) Electric bell

Answer

(a) Electric torch
Electric torch supplies light without the use of electricity.

---

Question 3.
What are the three sources of electricity other than power station ?
(a) Torch
(b) Generator
(c) Inverter
(d) All of these

Answer

(d) All of these
Torch, inverter, generator are the sources of electricity other than Power station.

---

Question 4.
What supplies electricity to the torch bulb ?
(a) Switch
(b) Glass
(c) Wire
(d) Electric cells

Answer

(d) Electric cells
Electric cells supplies electricity to the torch bulb.

---

Question 5.
Name a device which use electric cell as a source of electricity.
(a) T.V.
(b) Candle
(c) Camera
(d) All of above

Answer

(c) Camera
Camera use electric cell as a source of electricity.

---

Question 6.
When two or more elecricity cells are joined together in such a way that bulb lights up than it is called:
(a) Cell
(b) Current
(c) Circuit
(d) Battery

Answer

(d) Battery
Two or more electric cell are joined together in such a way are called battery.

---

Question 7.
The bulb with broken filament is called a:
(a) Fused bulb
(b) Lighted bulb
(c) Both (a) and (b)
(d) None of these

Answer

(a) Fused bulb
The bulb with broken filament is called a fused bulb.

---

Question 8.
Why a fused bulb does not glow?
(a) Because the circuit is not complete as its filametit is broken
(b) Because the circuit is complete as its filament is broken
(e) Because we open up any joint in a closed circuit
(d) None of these

Answer

(a) Because the circuit is not complete as its filametit is broken
Because the circuit is not complete as its filament is broken.

---

Question 9.
………….. is a device to tests whether the given substance is a conductor or not.
(a) Electric switch
(b) Conductor tester
(c) Fused bulb
(d) None of these

Answer

(b) Conductor tester
Conductor tester tests the given substances is a conductor or not.

---

Question 10.
What is earth wire?
(a) Safety wire
(b) Dangerous wire
(c) Useful wire
(d) Useless wire

Answer

(a) Safety wire
Earth wire is a safety wire.

---

Question 11.
A path through which electricity can flow is:
(a) Cell
(b) Circuit
(c) Switch
(d) None of these

Answer

(b) Circuit
Circuit is the path through which electricity can flow.

---

Question 12.
The circuits in which the bulb shines are:
(a) Closed circuit
(b) Circuit
(c) Open circuit
(d) None of above

Answer

(a) Closed circuit
Closed circuits in which the bulb shines.

---

Question 13.
A circuit in which a joint is open known as an:
(a) Closed circuit
(b) Circuit
(c) Open circuit
(d) None of above

Answer

(c) Open circuit
A circuit in which a joint is open is known as an open circuit.

---

Question 14.
Those objects which, when placed in the circuit, let the bulb glow are called:
(a) Bad conductor
(b) Circuit
(c) Good conductor
(d) Switch

Answer

(c) Good conductor
The objects which when placed in the circuit, let the bulb glow are called good conductors.

---

Question 15.
……………. is the form of energy.
(a) Current
(b) Switch
(c) Cell
(d) Electricity

Answer

(d) Electricity
Electricity is form of energy.

---

Question 16.
…………… is a source of electricity.
(a) Electricity cell
(b) Current
(c) Switch
(d) None of above

Answer

(a) Electricity cell
Electric cell is a source of electricity.

---

Question 17.
A simple device that either breaks the circuit or completes it to stop or start the flow of current is:
(a) Cell
(b) Current
(c) Switch
(d) None of above

Answer

(b) Current
A simple device that either breaks the circuit or completes it to stop or start the flow of current is switch.

---

Question 18.
The flow from the positive terminal of the electric cell to its negative terminal.
(a) Current
(b) Open current
(c) Close current
(d) Electric current

Answer

(d) Electric current
The electric current flows from the positive terminal of the electric cell to its negative terminal.

---

Match the Column-A with Column-B:

Question 1.

Column-A	Column-B
(a) Lighting	(i) Bulb, Tubelight
(b) Sound	(ii) Stove, O.T.G.
(c) Heating	(iii) A.C., Fan
(d) Cooking	(iv) Heater, Geyser
(e) Cooping	(v) T.V., Radio

Answer

Column-A	Column-B
(a) Lighting	(i) Bulb, Tubelight
(b) Sound	(v) T.V., Radio
(c) Heating	(iv) Heater, Geyser
(d) Cooking	(iii) A.C., Fan
(e) Cooping	(ii) Stove, O.T.G.

---

Question 2.

Column-A	Column-B
(a) Keys, coins	(i) Making switches
(b) Rubber, wood	(ii) Making wires
(c) Metal, graphite	(iii) Insulators
(d) Copper, aluminium	(iv) Conductors

Answer

Column-A	Column-B
(a) Keys, coins	(iv) Conductors
(b) Rubber, wood	(iii) Insulators
(c) Metal, graphite	(i) Making switches
(d) Copper, aluminium	(ii) Making wires

---

Fill in the blanks:
Question 1.
A device is used to break on electric circuit is called ……………..

Answer

switch

---

Question 2.
An electric cell has …………….. terminals.

Answer

two

---

Question 3.
Switches, electrical plugs and sockets are made of ……………..

Answer

conductors

---

Question 4.
Electricity is a form of ………………

Answer

energy

---

Question 5.
Electricity is supplied from a power station ……………..

Answer

power station

---

State whether the statements are True or False:

Question 1.
Electric current can flow through metals.

Answer

True

---

Question 2.
Instead of metal wires, a jute string can be used to make a circuit.

Answer

False

---

Question 3.
Electric current Can pass through a sheet of thermocol.

Answer

False

---

Question 4.
The substances through which electricity flows is called a conductor.

Answer

True

---

Question 5.
Rubber and plastic are used for covering the electrical wires.

Answer

True

---

Hope the information shared regarding the NCERT MCQ Questions for class 6 Science Chapter 12 Electricity and Circuits with Answers Pdf free download is true and genuine as far as our knowledge is concerned. If you feel any information regarding CBSE class 6 Science Electricity and Circuits MCQs Multiple Choice Questions with Answers is missing do reach us and we will look into it and add it accordingly.

Students are advised to practice the NCERT MCQ Questions for class 6 Science Chapter 13 Fun with Magnets with Answers Pdf free download is available here. MCQ Questions for class 6 Science with Answers are prepared as per the Latest Exam Pattern. Students can solve these Fun with Magnets class 6 MCQs Questions with Answers and assess their preparation level.

Fun with Magnets class 6 MCQs Questions with Answers

Solving the Fun with Magnets Multiple Choice Questions of class 6 Science Chapter 13 MCQ can be of extreme help as you will be aware of all the concepts. These MCQ Questions on Fun with Magnets class 6 with answers pave for a quick revision of the Chapter thereby helping you to enhance subject knowledge. Have a glance at the MCQ of Chapter 13 Science class 6 and cross-check your answers during preparation.

Question 1.
The pole of the magnet that points towards the South is called pole.
(a) North
(b) South
(c) East
(d) West

Answer

(b) South
The pole of magnet that points towards the South is called South pole.

---

Question 2.
Where was natural magnet discovered ?
(a) In Japan
(b) In Greece
(c) In India
(d) In China

Answer

(b) In Greece
In Greece, the natural magnet was discovered.

---

Question 3.
Who discovered the natural magnet ?
(a) A shepherd named Magnets
(b) A shepherd named Greek
(c) A shepherd named Max Well
(d) Vasco-Di-Gama

Answer

(d) Vasco-Di-Gama
A shepherd named Magnets discovered the magnet.

---

Question 4.
What does Magnetite contains ?
(a) Wood
(b) Glass
(c) Iron
(d) Stone

Answer

(c) Iron
Magnetite contains iron.

---

Question 5.
Name few things using magnets.
(a) Toys
(b) Refrigerator’s door
(c) Pencil boxes
(d) All of these

Answer

(d) All of these
Magnets are used in toys, pencil boxes, and refrigerator’s door.

---

Question 6.
Magnetic effect pass through screen of substance like:
(a) Cloth
(b) Paper
(c) Plastic
(d) All of these

Answer

(d) All of these
Magnetic effect pass through screen of substances like cloth, paper plastic.

---

Question 7.
Write the cautions which are taken to keep the magnetic properties of magnets.
(a) Don’t hammer it
(b) Don’t drop it
(c) Don’t heat it
(d) All of these

Answer

(d) All of these
Don’t hammer, drop and heat the magnets.

---

Question 8.
can be used to find the directions while travelling on the sea or in air.
(a) Magnet
(b) Light
(c) Compass
(d) Poles

Answer

(a) Magnet
Magnet can be used to find the directions.

---

Question 9.
Magnet always comes to rest in direction.
(a) One
(b) Two
(c) Three
(d) Four

Answer

(b) Two
Magnet always comes to rest in two direction.

---

Question 10.
More iron fillings cling near the ends of:
(a) Compass
(b) Poles
(c) Non-magnet
(d) Magnet

Answer

(d) Magnet
More iron filing cling near the end of magnet.

---

Question 11.
Substances that stick to magnets are called:
(a) Magnetic substances
(b) Non-magnetic substances
(c) Compass
(d) None of these

Answer

(a) Magnetic substances
Substances that stick to magnets are called magnetic substances.

---

Question 12.
Substances that do not stick to magnets are called:
(a) Magnetic substances
(b) Non-magnetic substances
(c) Compass
(d) None of these

Answer

(b) Non-magnetic substances
Substances that do not stick to magnets are called non-magnetic substances.

---

Question 13.
The parts of a magnet where most of the iron filling stick are known as the:
(a) North pole
(b) South pole
(c) Poles of magnet
(d) None of these

Answer

(c) Poles of magnet
The parts of a magnet where most of iron filing stick are known as the poles of the magnet.

---

Question 14.
Name the poles of the magnet.
(a) South pole
(b) North pole
(c) Both (a) and (b)
(d) None of these

Answer

(c) Both (a) and (b)
Magnet has two poles, North pole and South pole.

---

Question 15.
How many poles does the magnet have ?
(a) One
(b) Three
(c) Four
(d) Two

Answer

(d) Two
Magnet has two poles.

---

Question 16.
has a needle, which is itself a magnet.
(a) Magnet
(b) Compass
(c) Clock
(d) All of these

Answer

(b) Compass
Compass has a needle, which is itself a magnet.

---

Question 17.
The needle of the compass always points direction.
(a) North-South
(b) East-West
(c) North-West
(d) South-East

Answer

(a) North-South
The needle of the compass always points North-South direction.

---

Question 18.
The pole of the magnet that points towards the North is called pole.
(a) North
(b) South
(c) East
(d) West

Answer

(a) North
The pole of magnet that points towards the North is called North pole.

---

Match the Column-A with Column-B:

Question 1.

Column-A	Column-B
(a) N-N	(i) Attraction
(b) N-S	(ii) Repulsion
(c) S-N	(iii) Repulsion
(d) S-S	(iv) Attraction

Answer

Column-A	Column-B
(a) N-N	(ii) Repulsion
(b) N-S	(i) Attraction
(c) S-N	(iv) Attraction
(d) S-S	(iii) Repulsion

---

Question 2.

Column-A	Column-B
(a) Coin	(i) Aluminium
(b) Pins	(ii) Iron, nickel
(c) Shoe	(iii) Wood
(d) Statue	(iv) Leather
(e) Table	(v) Iron

Answer

Column-A	Column-B
(a) Coin	(ii) Iron, nickel
(b) Pins	(v) Iron
(c) Shoe	(iv) Leather
(d) Statue	(i) Aluminium
(e) Table	(iii) Wood

---

Question 3.

Column-A	Column-B
(a) Boats get attracted towards the magnet.	(i) Boat is fitted with a magnet with North pole towards its head.
(b) Boat is not affected by the magnet.	(ii) Boat is fitted with a magnet with South pole towards its head.
(c) Boat moves near the magnet if North pole of magnet is brought near its head.	(iii) Boat has a small magnet fixed along its length.
(d) Boat moves away from the magnet when North pole is brought near its head.	(iv) Boat is made up of magnetic material.
(e) Boat floats without changing its direction.	(v) Boat is made up of non-magnetic materials.

Answer

Column-A	Column-B
(a) Boats get attracted towards the magnet.	(iv) Boat is made up of magnetic material.
(b) Boat is not affected by the magnet.	(v) Boat is made up of non-magnetic materials.
(c) Boat moves near the magnet if North pole of magnet is brought near its head.	(ii) Boat is fitted with a magnet with South pole towards its head.
(d) Boat moves away from the magnet when North pole is brought near its head.	(i) Boat is fitted with a magnet with North pole towards its head.
(e) Boat floats without changing its direction.	(iii) Boat has a small magnet fixed along its length.

---

State whether the statements are True or False:

Question 1.
A cylindrical magnet has only one pole.

Answer

False

---

Question 2.
Artificial magnets were discovered in Greece.

Answer

False

---

Question 3.
Similar poles of a magnet repel each other.

Answer

True

---

Question 4.
Maximum iron fillings stick in the middle of a bar magnet when it is brought near them.

Answer

False

---

Question 5.
Bar magnets always point towards North-South direction.

Answer

True

---

Question 6.
A compass can be used to find East-West direction at any place.

Answer

False

---

Question 7.
Rubber is a magnetic material.

Answer

False

---

Fill in the blanks:

Question 1.
Artificial magnets are made in different shapes such as ……………., ……………. and …………….

Answer

U-shaped, cylindrical and base-shaped

---

Question 2.
The materials which are attracted towards magnet are called …………….

Answer

magnetic

---

Question 3.
……………. is not a ……………. material.

Answer

paper

---

Question 4.
In olden days sailors used to find direction by ……………. a piece of magnet.

Answer

suspending

---

Question 5.
A magnet always has ……………. poles.

Answer

two

---

Hope the information shared regarding the NCERT MCQ Questions for class 6 Science Chapter 13 Fun with Magnets with Answers Pdf free download is true and genuine as far as our knowledge is concerned. If you feel any information regarding CBSE class 6 Science Fun with Magnets MCQs Multiple Choice Questions with Answers is missing do reach us and we will look into it and add it accordingly.

Students are advised to practice the NCERT MCQ Questions for class 6 Science Chapter 14 Water with Answers Pdf free download is available here. MCQ Questions for class 6 Science with Answers are prepared as per the Latest Exam Pattern. Students can solve these Water class 6 MCQs Questions with Answers and assess their preparation level.

Water class 6 MCQs Questions with Answers

Solving the Water Multiple Choice Questions of class 6 Science Chapter 14 MCQ can be of extreme help as you will be aware of all the concepts. These MCQ Questions on Water class 6 with answers pave for a quick revision of the Chapter thereby helping you to enhance subject knowledge. Have a glance at the MCQ of Chapter 14 Science class 6 and cross-check your answers during preparation.

Question 1.
How much water is required to produce a page of book ?
(a) About 2 glasses
(b) About 14 glass
(c) About 1 glass
(d) About 3 glasses

Answer

(a) About 2 glasses
About two glasses of water is required to produce a page of book.

---

Question 2.
Where do we get water from ?
(a) River
(b) Wells
(c) Lakes
(d) All of these

Answer

(d) All of these
We get water from river, wells and lakes.

---

Question 3.
Where water in taps comes from:
(a) River
(b) Wells
(c) Lake
(d) All of these

Answer

(d) All of these
Water in taps comes from river, lakes and wells.

---

Question 4.
What part of earth is covered with water ?
(a) One-third
(b) Two-third
(c) Half
(d) None of these

Answer

(b) Two-third
Two-third part of the earth is covered with water.

---

Question 5.
Where do we find most of the water on earth ?
(a) Oceans
(b) Seas
(c) Wells
(d) Both (a) and (b)

Answer

(d) Both (a) and (b)
Most of water is in oceans and seas.

---

Question 6.
What happens to the animals and vegetation in drought conditions?
(a) Start growing
(b) Start dying
(c) Both (a) and (b)
(d) None of these

Answer

(b) Start dying
Animals and vegetation start dying in drought conditions.

---

Question 7.
How can we conserve water ?
(a) By avoiding wastage
(b) By more plantation
(c) By using carefully
(d) All of these

Answer

(d) All of these
We conserve water by avoiding wastage, more plantation, using carefully.

---

Question 8.
Blackboard dries up after wiping it:
(a) Condensation
(b) Evaporation
(c) Distillation
(d) Filtration

Answer

(b) Evaporation
Blackboards dries up other wiping it is the process of evaporation.

---

Question 9.
We need water for:
(a) To grow plants
(b) To make paper
(c) To grow fibres which are used for making fabric
(d) All of these

Answer

(d) All of these
We need wrater for various purpose are to grow plants, to make paper and to grow fibres which are used for making fabric.

---

Question 10.
Plants loose water into air as water vapour through the process of:
(a) Evaporation
(b) Transpiration
(c) Condensation
(d) None of these

Answer

(b) Transpiration
Plants loose water into air as water vapour through the process of transpiration.

---

Question 11.
Gaseous form of water is called:
(a) Evaporation
(b) Water cycle
(c) Water vapour
(d) Floods

Answer

(c) Water vapour
Gaseous form of water is water vapour.

---

Question 12.
The process of water changing into its vapour is:
(a) Evaporation
(b) Water vapour
(c) Water cycle
(d) Floods

Answer

(a) Evaporation
The process of water changing into its vapour is evaporation.

---

Question 13.
The process of water vapour changing into water droplets is:
(a) Evaporation
(b) Water harvesting
(c) Water cycle
(d) Condensation

Answer

(d) Condensation
The process of water vapour changing into water droplets is condensation.

---

Question 14.
The circulation of water between ocean and land is known as:
(a) Evaporation
(b) Water harvesting
(c) Water cycle
(d) Condensation

Answer

(c) Water cycle
The circulation of water between ocean and land is known as water cycle.

---

Question 15.
Lack of rain for long periods cause.
(a) Flood
(b) Water vapour
(c) Drought
(d) None of these

Answer

(c) Drought
Lack of rain for long periods cause drought.

---

Question 16.
Excessive rains cause.
(a) Drought
(b) Floods
(c) Ground water
(d) Water cycle

Answer

(b) Floods
Excessive rain cause floods.

---

Question 17.
Water found under the ground is called:
(a) Rain water
(b) Drinking water
(c) Bathing water
(d) Ground water

Answer

(d) Ground water
Water found under the ground is ground water.

---

Question 18.
The collection of rain water by various means is:
(a) Water vapour
(b) Water cycle
(c) Water harvesting
(d) None of these

Answer

(c) Water harvesting
The collection of rain water by various means.

---

Question 19.
For wjiich we use water:
(a) Bathing
(b) Drinking
(c) Washing clothes
(d) All of these

Answer

(d) All of these
We use water for bathing, drinking and washing clothes etc.

---

Question 20.
need water.
(a) Plants
(b) Sun
(c) Moon
(d) All of these

Answer

(a) Plants
Plants need water.

---

Match the Column-A with Column-B:

Question 1.

Column-A	Column-B
(i) Excessive rains cause floods	(a) drought
(ii) Collection of rain water by various means	(b) water vapour
(iii) Lack of rain for long period	(c) rain
(iv) Gaseous form of water	(d) water harvesting
(v) The falling of water droplets	(e) flood

Answer

Column-A	Column-B
(i) Excessive rains cause floods	(e) flood
(ii) Collection of rain water by various means	(d) water harvesting
(iii) Lack of rain for long period	(a) drought
(iv) Gaseous form of water	(b) water vapour
(v) The falling of water droplets	(c) rain

---

State whether the statements are True or False:

Question 1.
Water vapour is present in air only during the monsoon.

Answer

False

---

Question 2.
Water evaporates into air from oceans, rivers and lakes but not from the soil.

Answer

False

---

Question 3.
The evaporation of water takes place only in sunlight.

Answer

False

---

Question 4.
The process of water changing into vapour is called evaporation.

Answer

True

---

Question 5.
Water vapour condenses to form tiny droplets of water in the upper layer of the air where it is cooled.

Answer

True

---

Fill in the blanks:

Question 1.
………………. of water is slow process.

Answer

Evaporation

---

Question 2.
Fog appearing on a cold winter morning is ………………..

Answer

condensation

---

Question 3.
Steam rising from wet clothes while they are ironed is ………………..

Answer

evaporation

---

Question 4.
The falling of water droplets is called ………………..

Answer

rain

---

Question 5.
The water from wet road, roof tops and wet clothes changes into ………………..

Answer

vapour

---

Question 6.
………………. part of the earth is covered with water.

Answer

Two-third

---

Question 7.
The process of changing water into vapour is called ………………..

Answer

evaporation

---

Question 8.
The process of changing vapour into water is called ………………..

Answer

condensation

---

Question 9.
No rainfall for a year or more may lead to ………………. in that region.

Answer

drought

---

Question 10.
Excessive rains may cause ……………….

Answer

floods

---

Hope the information shared regarding the NCERT MCQ Questions for class 6 Science Chapter 14 Water with Answers Pdf free download is true and genuine as far as our knowledge is concerned. If you feel any information regarding CBSE class 6 Science Water MCQs Multiple Choice Questions with Answers is missing do reach us and we will look into it and add it accordingly.

Students are advised to practice the NCERT MCQ Questions for class 6 Science Chapter 16 Garbage In Garbage Out with Answers Pdf free download is available here. MCQ Questions for class 6 Science with Answers are prepared as per the Latest Exam Pattern. Students can solve these Garbage In Garbage Out class 6 MCQs Questions with Answers and assess their preparation level.

Garbage In Garbage Out class 6 MCQs Questions with Answers

Solving the Garbage In Garbage Out Multiple Choice Questions of class 6 Science Chapter 16 MCQ can be of extreme help as you will be aware of all the concepts. These MCQ Questions on Garbage In Garbage Out class 6 with answers pave for a quick revision of the Chapter thereby helping you to enhance subject knowledge. Have a glance at the MCQ of Chapter 16 Science class 6 and cross-check your answers during preparation.

Question 1.
Some substances that are difficult to dispose off:
(a) Glass
(b) Plastics
(c) Metals
(d) All of these

Answer

(d) All of these
Glass, plastics, metals are difficult to dispose off.

---

Question 2.
Completely rotting of garbage provides to the plants.
(a) Nutrients
(b) Vitamin
(c) Calcium
(d) Protein

Answer

(a) Nutrients
Completely rotting of garbage provides nutrients to the plants.

---

Question 3.
The rotting and conversion of some material and manure is called:
(a) Land fill
(b) Biodegradable substance
(c) Non-biodegradable
(d) Compositing

Answer

(d) Compositing
The rotting and conversion of some material into manure is called compositing.

---

Question 4.
Compost make the soil.
(a) Fertile
(b) Non-fertile
(c) Clayey
(d) Sandy

Answer

(a) Fertile
Compost make the soil fertile.

---

Question 5.
What are colour of dustbins ?
(a) Blue
(b) Red
(c) Green
(d) Both (a) and (c)

Answer

(d) Both (a) and (c)
The colour of dustbins are blue and green.

---

Question 6.
Which garbage is put in blue dustbin ?
(a) Plastics
(b) Metals
(c) Glass
(d) All of these

Answer

(d) All of these
The blue dustbin is for materials that do not such as glass, metals and plastics.

---

Question 7.
Which garbage is put in green dustbins ?
(a) Kitchen wastes
(b) Plants wastes
(c) Animal wastes
(d) All of these

Answer

(d) All of these
The green dustbin for collecting kitchen and other plants or animal wastes that rot completely when buried in the soil

---

Question 8.
Red worms have a structure called:
(a) Egg shells
(b) Sea shells
(c) Gizzard
(d) None of these

Answer

(c) Gizzard
Red worms have a structure called ‘gizzard’ which help them in grinding food.

---

Question 9.
In which climate do red worms survive ?
(a) Very hot surroundings
(b) Very cold surroundings
(c) Moisture surroundings
(d) Rainy

Answer

(d) Rainy
Redworms survive in moisture surroundings.

---

Question 10.
What is food of red worms ?
(a) Vegetable and fruit wastes
(b) Coffee and tea remains
(c) Weeds from fields or gardens
(d) All of these

Answer

(d) All of these
Vegetable, fruit wastes, coffee and tea remains and weeds from the fields or gardens are food of red worms.

---

Question 11.
A low lying open area is called a ……………
(a) Composting
(b) Landfill
(c) Vermicomposting
(d) None of these

Answer

(b) Landfill
A low lying open area is called a landfill.

---

Question 12.
Method of preparing compost with the help of redworms is called:
(a) Composting
(b) Land fill
(c) Vermicomposting
(d) None of these

Answer

(c) Vermicomposting
Method of preparing compost with the help of redworms is called vermicomposting.

---

Question 13.
Those substances which are decomposed by natural processes are:
(a) Composting
(b) Landfill
(c) Vermicomposting
(d) Biodegradable substances

Answer

(d) Biodegradable substances
Those substances which are decomposed by natural process are biodegradable substances.

---

Question 14.
Those substances that cannot be decomposed by natural processes are:
(a) Composting
(b) Non-biodegradable substances
(c) Vermicomposting
(d) Biodegradable substances

Answer

(b) Non-biodegradable substances
Those substances that cannot be decomposed by natural process, or if they can than the process is very slow are non-biodegradable substances.

---

Question 15.
Give examples of some things which are thrown as garbage everyday from our homes, schools, shops and offices ?
(a) Sharpened pencils are thrown
(b) Rough papers are thrown
(c) Packing plastics bags or tins are thrown as garbage
(d) All of these

Answer

(d) All of these
Sharpened pencils, rough papers, packing plastics bags or tins are thrown as garbage everyday.

---

Question 16.
Safai Karamcharis collect the garbage in …………….
(a) Trucks
(b) Bus
(c) Train
(d) Auto-rickshaw

Answer

(a) Trucks
Safai Karamcharis collect the garbage in trucks.

---

Question 17.
The safai Karamcharis separate out the components and then cover it with a layer of soil.
(a) Useful
(b) Non-useful
(c) Both (a) and (b)
(d) None of these

Answer

(b) Non-useful
The Safai Karamcharis separate out the non-useful components and then cover it with a layer of soil.

---

Question 18.
The useful components are dumped in …………… making areas developed near the land fill.
(a) Compost
(b) Decomposed
(c) Biodegradable
(d) Non-biodegradable

Answer

(a) Compost
The useful components are dumped in compost making areas developed near the landfill.

---

Fill in the blanks:

Question 1.
…………… helps us to get rid of wastes.

Answer

Compost

---

Question 2.
The transform old newspaper, bottles and things made of metal and plastics in new products is called …………….

Answer

recycling

---

Question 3.
It is easy to carry food and other thing packed in …………….

Answer

plastic bags

---

Question 4.
Plastics bags often get stuck in …………… and block them.

Answer

drain

---

Question 5.
It is harmful to burn leaves because …………… pollution is caused by it.

Answer

air

---

Question 6.
Red worms have …………….

Answer

teeth

---

Question 7.
Sea shells help red worms in …………… their food.

Answer

grinding

---

Question 8.
The methods of preparing compost with the help of red worms is called …………….

Answer

vermicomposting

---

Question 9.
Completely rotting of garbage provides …………… to the plants.

Answer

nutrients

---

Question 10.
A low lying open area is called …………….

Answer

landfill

---

State whether the statements are True or False:

Question 1.
It is harmful to burn leaves because water pollution is caused by it.

Answer

False

---

Question 2.
Red worms survive in cold climate.

Answer

False

---

Question 3.
The transform old newspaper, bottles and things made of metal and plastic into new products is called recycling.

Answer

True

---

Question 4.
We recycle paper.

Answer

True

---

Question 5.
We do not use vermicomposting at home and deal with our kitchen waste usefully.

Answer

False

---

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Students can access the NCERT MCQ Questions for Class 11 Maths Chapter 1 Sets with Answers Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use MCQ Questions for Class 11 Maths with Answers during preparation and score maximum marks in the exam. Students can download the Sets Class 11 MCQs Questions with Answers from here and test their problem-solving skills. Clear all the fundamentals and prepare thoroughly for the exam taking help from Class 11 Maths Chapter 1 Sets Objective Questions.

Sets Class 11 MCQs Questions with Answers

Students are advised to solve the Sets Multiple Choice Questions of Class 11 Maths to know different concepts. Practicing the MCQ Questions on Sets Class 11 with answers will boost your confidence thereby helping you score well in the exam.

Explore numerous MCQ Questions of Sets Class 11 with answers provided with detailed solutions by looking below.

Question 1.
If f(x) = log [(1 + x)/(1 – x), then f(2x )/(1 + x²) is equal to
(a) 2f(x)
(b) {f(x)}²
(c) {f(x)}³
(d) 3f(x)

Answer

Answer: (a) 2f(x)
Given f(x) = Log [(1 + x)/(1-x)]
Now, f{(2x )/(1 + x²)} = Log [{(1 + (2x )/(1 + x²))}/{(1 – (2x )/(1 + x²))}]
⇒ f{(2x )/(1 + x²)} = Log [{(1 + x² + 2x )/(1 + x²))}/{(1 + x² – 2x )/(1 + x²))}]
⇒ f{(2x )/(1 + x²)} = Log [(1 + x² + 2x )/{(1 + x² – 2x )]
⇒ f{(2x )/(1 + x²)} = Log [(1 + x)2 /{(1 – x)2]
⇒ f{(2x )/(1 + x²)} = Log [(1 + x)/{(1 – x)]2
⇒ f{(2x )/(1 + x²)} = 2 × Log [(1 + x)/{(1 – x)]
⇒ f{(2x )/(1 + x²)} = 2 f(x)

---

Question 2.
The smallest set a such that A ∪ {1, 2} = {1, 2, 3, 5, 9} is
(a) {3, 5, 9}
(b) {2, 3, 5}
(c) {1, 2, 5, 9}
(d) None of these

Answer

Answer: (a) {3, 5, 9}
Given, a set A such that A ∪ {1, 2} = {1, 2, 3, 5, 9}
Now, smallest set A = {3, 5, 9}
So, A ∪ {1, 2} = {1, 2, 3, 5, 9}

---

Question 3.
Let R= {(x, y) : x, y belong to N, 2x + y = 41}. The range is of the relation R is
(a) {(2n – 1) : n belongs to N, 1 ≤ n ≤ 20}
(b) {(2n + 2) : n belongs to N, 1 < n < 20}
(c) {2n : n belongs to N, 1< n< 20}
(d) {(2n + 1) : n belongs to N , 1 ≤ n ≤ 20}

Answer

Answer: (a) {(2n – 1) : n belongs to N, 1 ≤ n ≤ 20}
Given,
2x + y = 41
⇒ y = 41 – 2x
x : 1 2 3 ………………20
y : 39 37 35 ……………..1
So, range is
{(2n – 1) : n belongs to N, 1 ≤ n ≤ 20}

---

Question 4.
Empty set is a?
(a) Finite Set
(b) Invalid Set
(c) None of the above
(d) Infinite Set

Answer

Answer: (a) Finite Set
In mathematics, and more specifically set theory, the empty set is the unique set having no elements and its size or cardinality (count of elements in a set) is zero.
So, an empty set is a finite set.

---

Question 5.
Two finite sets have M and N elements. The total number of subsets of the first set is 56 morethan the total number of subsets of the second set. The values of M and N are respectively.
(a) 6, 3
(b) 8, 5
(c) none of these
(d) 4, 1

Answer

Answer: (a) 6, 3
Let A and B be two sets having m and n numbers of elements respectively
Number of subsets of A = 2^m
Number of subsets of B = 2ⁿ
Now, according to question
2^m – 2ⁿ = 56
⇒ 2ⁿ( 2^m-n – 1) = 2³(2³ – 1)
So, n = 3
and m – n = 3
⇒ m – 3 = 3
⇒ m = 3 + 3
⇒ m = 6

---

Question 6.
If the number of elements in a set S are 5. Then the number of elements of the power set P(S) are?
(a) 5
(b) 6
(c) 16
(d) 32

Answer

Answer: (d) 32
Given, the number of elements in a set S are 5
Then the number of elements of the power set P(S) = 2⁵ = 32

---

Question 7.
Every set is a ___________ of itself
(a) None of the above
(b) Improper subset
(c) Compliment
(d) Proper subset

Answer

Answer: (b) Improper subset
An improper subset is a subset containing every element of the original set.
A proper subset contains some but not all of the elements of the original set.
Ex: Let a set {1, 2, 3, 4, 5, 6}. Then {1, 2, 4} and {1} are the proper subset while {1, 2, 3, 4, 5} is an improper subset.
So, every set is an improper subset of itself.

---

Question 8.
If x ≠ 1, and f(x) = x + 1 / x – 1 is a real function, then f(f(f(2))) is
(a) 2
(b) 1
(c) 4
(d) 3

Answer

Answer: (d) 3
Given f(x) = (x + 1)/(x – 1)
Now, f(2) = (2 + 1)/(2 – 1) = 3
Now since f(2) is independent of x
So, f(f(f(2))) = 3

---

Question 9.
In 3rd Quadrant?
(a) X < 0, Y < 0 (b) X > 0, Y < 0
(c) X < 0, Y > 0
(d) X < 0, Y > 0

Answer

Answer: (a) X < 0, Y < 0

In the 3rd quadrant,
X < 0, Y < 0

---

Question 10.
IF A ∪ B = A ∪ C and A ∩ B = A ∩ C, THEN
(a) none of these
(b) B = C only when A I C
(c) B = C only when A ? B
(d) B = C

Answer

Answer: (d) B = C
If A ∪ B = A ∪ C and A ∩ B = A ∩ C
Then B = C

---

Question 11.
A set is known by its _______.
(a) Elements
(b) Values
(c) Members
(d) Letters

Answer

Answer: (a) Elements
A set is known by its elements.

---

Question 12.
If the set has P elements, B has q elememts then number of elements in A × B is
(a) pq
(b) p + q
(c) p + q + 1
(d) p²

Answer

Answer: (a) pq
Given the set A has p elements, B has q elements.
then number of elements in A × B = pq

---

Question 13.
Which from the following set has closure property w.r.t multiplication?
(a) {0, -1}
(b) {1, -1}
(c) {-1}
(d) {-1,-1}

Answer

Answer: (b) {1, -1}
The set {1, -1} has closure property w.r.t multiplication.
This is because -1 × 1 = -1 which is an element in the given set.

---

Question 14.
Consider the set A of all determinants of order 3 with entries 0 or 1 only. Let B be the subset of containing all determinants with value 1. Let C be the subset of containing all determinants with value -1 then
(a) B has many elements as C
(b) A = B ∪ C
(c) B has twice as many elements as C.
(d) C is empty

Answer

Answer: (a) B has many elements as C
The matrix C is not empty because
|1 0 0|
|1 0 1| = -1
|1 1 0|
Let Δ ∈ B
So, Δ = 1
Again let Δ₁ be the determinant obtained by interchanging any two rows and columns of Δ
So, Δ₁ = -1 ⇒ n(B) ≥ n(C)
Similarly, we can show that n(C) ≥ n(B)
So, n(B) = n(C)

---

Question 15.
If A and B are two sets containing respectively M and N distinct elements. How many different relations can be defined for A and B?
(a) 2^{m + n}
(b) 2^{m / n}
(c) 2^{m – n}
(d) 2^mn

Answer

Answer: (d) 2^mn
Given A and B are two sets containing respectively m and n distinct elements.
Then number of different relations can be defined for A and B = 2^mn

---

Question 16.
Let R be a relation N define by x + 2y = 8. The domain of R is
(a) {2, 4, 6, 8}
(b) {1, 2, 3, 4}
(c) {2, 4, 8}
(d) {2, 4, 6}

Answer

Answer: (d) {2, 4, 6}
Given R be a relation N define by x + 2y = 8
⇒ 2y = 8 – x
⇒ y = 8/4 – x/2
⇒ y = 4 – x/2
Now, the pair of x any satisfying the above equation is:
(2, 3), (4, 2),(6, 1)
So R = {(2, 3), (4, 2),(6, 1)}
Now, Dom(R) = {2, 4, 6}

---

Question 17.
In 2nd quadrant?
(a) X < 0, Y < 0
(b) X < 0, Y > 0
(c) X > 0, Y > 0
(d) X > 0, Y < 0

Answer

Answer: (b) X < 0, Y > 0

In the second quadrant,
X < 0, Y > 0

---

Question 18.
A survey shows that 63% of the americans like cheese whereas 76% like apples. If X% of the americans like both cheese and apples, then we have
(a) 39 ≤ x ≤ 63
(b) x ≤ 63
(c) x ≤ 39
(d) none of these.

Answer

Answer: (a) 39 ≤ x ≤ 63
Given,
Number of americans who like cheese n(C) = 63
Number of americans who like apple n(A) = 76
Total number of person = 100 (since 100%)
Number of americans who like both n(A ∩ B) = x
Now, n(A ∪ B) = n(A) + n(B) – n(A ∩ B)
⇒ 100 = 63 + 76 – x
⇒ 100 = 139 – x
⇒ x = 139 – 100
⇒ x = 39
This is the minimum value of x
Now, let us look for the highest value of x, the intersection or the common portion
between A and C, it would be larger when one set takes in more of the other.
Thus, when the smaller set gets completely absorbed into the larger and in that situation then x = 63
So 39 ≤ x ≤ 63

---

Question 19.
Which from the following set has closure property w.r.t addition?
(a) {0}
(b) {1}
(c) {1, 1}
(d) {1, -1}

Answer

Answer: (a) {0}
A set is closed under addition if, when we add any two elements, we always get another element in the set.
(a) Closed under addition. The only possible way to add two numbers in the set is 0 + 0 = 0, which is in the set.
(b) Not closed under addition. For example, 1 + 1 = 2, which is not in the set.
(c) Not closed under addition. For example, 1 + 1 = 2, which is not in the set.
(d) Not closed under addition. For example, 1 + (-1) = 0, which is not in the set.

---

Question 20.
A’ will contain how many elements from the orginal set A
(a) 0
(b) All elements in A
(c) 1
(d) Infinite

Answer

Answer: (a) 0
A’ will contain zero many elements from the original set A.
Let A = {1, 2, 3, 4}, then |A| = 4
Now A’ = {}, then |A| = 0

---

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Students can access the NCERT MCQ Questions for Class 11 Maths Chapter 2 Relations and Functions with Answers Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use MCQ Questions for Class 11 Maths with Answers during preparation and score maximum marks in the exam. Students can download the Relations and Functions Class 11 MCQs Questions with Answers from here and test their problem-solving skills. Clear all the fundamentals and prepare thoroughly for the exam taking help from Class 11 Maths Chapter 2 Relations and Functions Objective Questions.

Relations and Functions Class 11 MCQs Questions with Answers

Students are advised to solve the Relations and Functions Multiple Choice Questions of Class 11 Maths to know different concepts. Practicing the MCQ Questions on Relations and Functions Class 11 with answers will boost your confidence thereby helping you score well in the exam.

Explore numerous MCQ Questions of Relations and Functions Class 11 with answers provided with detailed solutions by looking below.

Question 1.
The domain of the function ^7-xP_x-3 is
(a) {1, 2, 3}
(b) {3, 4, 5, 6}
(c) {3, 4, 5}
(d) {1, 2, 3, 4, 5}

Answer

Answer: (c) {3, 4, 5}
The function f(x) = ^7-xP_x-3 is defined only if x is an integer satisfying the following inequalities:
1. 7 – x ≥ 0
2. x – 3 ≥ 0
3. 7 – x ≥ x – 3
Now, from 1, we get x ≤ 7 ……… 4
from 2, we get x ≥ 3 ……………. 5
and from 2, we get x ≤ 5 ………. 6
From 4, 5 and 6, we get
3 ≤ x ≤ 5
So, the domain is {3, 4, 5}

---

Question 2.
The domain of tan^-1 (2x + 1) is
(a) R
(b) R – {1/2}
(c) R – {-1/2}
(d) None of these

Answer

Answer: (a) R
Since tan^-1 x exists if x ∈ (-∞, ∞)
So, tan^-1 (2x + 1) is defined if
-∞ < 2x + 1 < ∞
⇒ -∞ < x < ∞
⇒ x ∈ (-∞, ∞)
⇒ x ∈ R
So, domain of tan^-1 (2x + 1) is R.

---

Question 3.
Two functions f and g are said to be equal if f
(a) the domain of f = the domain of g
(b) the co-domain of f = the co-domain of g
(c) f(x) = g(x) for all x
(d) all of above

Answer

Answer: (d) all of above
Two functions f and g are said to be equal if f
1. the domain of f = the domain of g
2. the co-domain of f = the co-domain of g
3. f(x) = g(x) for all x

---

Question 4.
If the function f : R → R be given by f(x) = x² + 2 and g : R → R is given by g(x) = x/(x – 1). The value of gof(x) is
(a) (x² + 2)/(x² + 1)
(b) x²/(x² + 1)
(c) x²/(x² + 2)
(d) none of these

Answer

Answer: (a) (x² + 2)/(x² + 1)
Given f(x) = x² + 2 and g(x) = x/(x – 1)
Now, gof(x) = g(x² + 2) = (x² + 2)/(x² + 2 – 1) = (x² + 2)/(x² + 1)

---

Question 5.
Given g(1) = 1 and g(2) = 3. If g(x) is described by the formula g(x) = ax + b, then the value of a and b is
(a) 2, 1
(b) -2, 1
(c) 2, -1
(d) -2, -1

Answer

Answer: (c) 2, -1
Given, g(x) = ax + b
Again, g(1) = 1
⇒ a × 1 + b = 1
⇒ a + b = 1 ……… 1
and g(2) = 3
⇒ a × 2 + b = 3
⇒ 2a + b = 3 …….. 2
Solve equation 1 and 2, we get
a = 2, b = -1

---

Question 6.
Let f : R → R be a function given by f(x) = x² + 1 then the value of f^-1 (26) is
(a) 5
(b) -5
(c) ±5
(d) None of these

Answer

Answer: (c) ±5
Let y = f(x) = x² + 1
⇒ y = x² + 1
⇒ y – 1 = x²
⇒ x = ±√(y – 1)
⇒ f^-1 (x) = ±√(x – 1)
Now, f^-1 (26) = ±√(26 – 1)
⇒ f^-1 (26) = ±√(25)
⇒ f^-1 (26) = ±5

---

Question 7.
the function f(x) = x – [x] has period of
(a) 0
(b) 1
(c) 2
(d) 3

Answer

Answer: (b) 1
Let T is a positive real number.
Let f(x) is periodic with period T.
Now, f(x + T) = f(x), for all x ∈ R
⇒ x + T – [x + T] = x – [x] , for all x ∈ R
⇒ [x + T] – [x] = T, for all x ∈ R
Thus, there exist T > 0 such that f(x + T) = f(x) for all x ∈ R
Now, the smallest value of T satisfying f(x + T) = f(x) for all x ∈ R is 1
So, f(x) = x – [x] has period 1

---

Question 8.
The function f(x) = sin (‎πx/2) + cos (πx/2) is periodic with period
(a) 4
(b) 6
(c) 12
(d) 24

Answer

Answer: (a) 4
Period of sin (‎πx/2) = 2π/(π/2) = 4
Period of cos (πx/2) = 2π/(π/2) = 4
So, period of f(x) = LCM (4, 4) = 4

---

Question 9.
The domain of the function f(x) = x/(1 + x²) is
(a) R – {1}
(b) R – {-1}
(c) R
(d) None of these

Answer

Answer: (c) R
Given, function f(x) = x/(1 + x²)
Since f(x) is defined for all real values of x.
So, domain(f) = R

---

Question 10.
If f : R → R is defined by f(x) = x² – 3x + 2, the f(f(y)) is
(a) x⁴ + 6x³ + 10x² + 3x
(b) x⁴ – 6x³ + 10x² + 3x
(c) x⁴ + 6x³ + 10x² – 3x
(d) x⁴ – 6x³ + 10x² – 3x

Answer

Answer: (d) x⁴ – 6x³ + 10x² – 3x
Given, f(x) = x² – 3x + 2
Now, f(f(y)) = f(x² – 3x + 2)
= (x² – 3x + 2)² – 3(x² – 3x + 2) + 2
= x⁴ – 6x³ + 10x² – 3x

---

Question 11.
If n is the smallest natural number such that n + 2n + 3n + …. + 99n is a perfect square, then the number of digits in square of n is
(a) 1
(b) 2
(c) 3
(d) 4

Answer

Answer: (c) 3
Given that
n + 2n + 3n + …. + 99n
= n × (1 + 2 + 3 + …….. + 99)
= (n × 99 × 100)/2
= n × 99 × 50
= n × 9 × 11 × 2 × 25
To make it perfect square we need 2 × 11
So n = 2 × 11 = 22
Now n² = 22 × 22 = 484
So, the number of digit in n² = 3

---

Question 12.
Let f : R – R be a function defined by f(x) = cos(5x + 2), then f is
(a) injective
(b) surjective
(c) bijective
(d) None of these

Answer

Answer: (d) None of these
Given, f(x) = cos(2x + 5)
Period of f(x) = 2π/5
Since f(x) is a periodic function with period 2π/5, so it is not injective.
The function f is not surjective also as its range [-1, 1] is a proper subset of its co-domain R

---

Question 13.
The function f(x) = sin (‎πx/2) + 2cos (πx/3) – tan (πx/4) is periodic with period
(a) 4
(b) 6
(c) 8
(d) 12

Answer

Answer: (d) 12
Period of sin (‎πx/2) = 2π/(π/2) = 4
Period of cos (πx/3) = 2π/(π/3) = 6
Period of tan (πx/4) = π/(π/4) = 4
So, period of f(x) = LCM (4, 6, 4) = 12

---

Question 14.
If the function f : R → R be given by f(x) = x² + 2 and g : R → R is given by g(x) = x/(x – 1). The value of gof(x) is
(a) (x² + 2)/(x² + 1)
(b) x²/(x² + 1)
(c) x²/(x² + 2)
(d) none of these

Answer

Answer: (a) (x² + 2)/(x² + 1)
Given f(x) = x² + 2 and g(x) = x/(x – 1)
Now, gof(x) = g(x² + 2) = (x² + 2)/(x² + 2 – 1) = (x² + 2)/(x² + 1)

---

Question 15.
The domain of the function ^7-xP_x-3 is
(a) {1, 2, 3}
(b) {3, 4, 5, 6}
(c) {3, 4, 5}
(d) {1, 2, 3, 4, 5}

Answer

Answer: (c) {3, 4, 5}
The function f(x) = ^7-xP_x-3 is defined only if x is an integer satisfying the following inequalities:
1. 7 – x ≥ 0
2. x – 3 ≥ 0
3. 7 – x ≥ x – 3
Now, from 1, we get x ≤ 7 ………4
from 2, we get x ≥ 3 …………….5
and from 2, we get x ≤ 5 ……….6
From 4, 5 and 6, we get
3 ≤ x ≤ 5
So, the domain is {3, 4, 5}

---

Question 16.
If f(x) = e^x and g(x) = log_e x then the value of fog(1) is
(a) 0
(b) 1
(c) -1
(d) None of these

Answer

Answer: (b) 1
Given, f(x) = e^x
and g(x) = logx
fog(x) = f(g(x))
= f (logx)
= e^{log x}
= x
So, fog(1) = 1

---

Question 17.
A relation R is defined from the set of integers to the set of real numbers as (x, y) = R if x² + y² = 16 then the domain of R is
(a) (0, 4, 4)
(b) (0, -4, 4)
(c) (0, -4, -4)
(d) None of these

Answer

Answer: (b) (0, -4, 4)
Given that:
(x, y) ∈ R ⇔ x² + y² = 16
⇔ y = ±√(16 – x²)
when x = 0 ⇒ y = ±4
(0, 4) ∈ R and (0, -4) ∈ R
when x = ±4 ⇒ y = 0
(4, 0) ∈ R and (-4, 0) ∈ R
Now for other integral values of x, y is not an integer.
Hence R = {(0, 4), (0, -4), (4, 0), (-4, 0)}
So, Domain(R) = {0, -4, 4}

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Question 18.
The period of the function f(x) = sin (2πx/3) + cos (πx/3)
(a) 3
(b) 4
(c) 12
(d) None of these

Answer

Answer: (c) 12
Given, function f(x) = sin (2πx/3) + cos (πx/2)
Now, period of sin (2πx/3) = 2π/{(2π/3)} = (2π × 3)/(2π) = 3
and period of cos (πx/2) = 2π/{(π/2)} = (2π × 2)/(π) = 2 × 2 = 4
Now, period of f(x) = LCM(3, 4) = 12
Hence, period of function f(x) = sin (2πx/3) + cos (πx/2) is 12

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Question 19.
If f(x) = ax + b and g(x) = cx + d and f{g(x)} = g{f(x)} then
(a) f(a) = g(c)
(b) f(b) = g(b)
(c) f(d) = g(b)
(d) f(c) = g(a)

Answer

Answer: (c) f(d) = g(b)
Given, f(x) = ax + b and g(x) = cx + d and
Now, f{g(x)} = g{f(x)}
⇒ f{cx + d} = g{ax + b}
⇒ a(cx + d) + b = c(ax + b) + d
⇒ ad + b = cb + d
⇒ f(d) = g(b)

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Question 20.
The domain of the function f (x) = 1/(2 – cos 3x) is
(a) (1/3, 1)
(b) [1/3, 1)
(c) (1/3, 1]
(d) R

Answer

Answer: (d) R
Given
function is f(x) = 1/(2 – cos 3x)
Since -1 ≤ cos 3x ≤ 1 for all x ∈ R
So, -1 ≤ 2 – cos 3x ≤ 1 for all x ∈ R
⇒ f(x) is defined for all x ∈ R
So, domain of f(x) is R

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