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DFES Goa Fire Fighter Exam - English

Duration: 120 Β· Questions: 100 Β· Max Marks: 100 Β· Language: 1

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Mathematics

1
The elements of the set {x : x is an integer, x2 : 4} can be represent as .....Z..... . Here, Z refers to
  1. A.{–2, 2} 
  2. B.{–1, 0, 1}
  3. C.{–2, –1, 0, 1, 2}
  4. D.{0, 1, 2}
2
  1. D.None of these
3
If Y = {x : x is a positive factor of the number 2p – 1(2p – 1), where 2p – 1 is a prime number}, then Y can be represent in roster form as
  1. A.{2}
  2. B.{1, 2}  
  3. C.{1, 2, 22, ....., 2p – 1}
  4. D.{1, 2, 22, 23,.... 2p – 1, (2p – 1)}
4
The set {x : x is a positive integer less than 6 and 3x – 1 is an even number} in roster form is
  1. A.{1, 2, 3, 4, 5}
  2. B.{1, 2, 3, 4, 5, 6}  
  3. C.{2, 4, 6}
  4. D.{1, 3, 5}
5
If A B and A B, then
  1. A.A is called a proper subset of B
  2. B.A is called a super set of B
  3. C.A is not a subset of B 
  4. D.B is a subset of A
6
The number of non-empty subsets of the set{1, 2, 3, 4} is
  1. A.15
  2. B.14
  3. C.16
  4. D.17
7
The number of elements of the power set of a set containing m elements is
  1. A.2m – 1
  2. B.m 
  3. C.m2
  4. D.2m
8
If A = {x : x = n2, n = 1, 2, 3}, then number of proper subsets is
  1. A.3
  2. B.8
  3. C.7
  4. D.None of these
9
If A = {x : x = 4n + 1, 2 £ n £ 5},then number of subsets of A is
  1. A.16
  2. B.15  
  3. C.4 
  4. D.None of these 
10
Let A and B be two non-empty subsets of a set X such that A is not a subset of B, then
  1. A.A is always a subset of the complement of B
  2. B.B is always a subset of A  
  3. C.A and B are always disjoint
  4. D.A and the complement of B are always non-disjoint  
11
Which of the following is/are empty set? 
A = {x : x2 + x + 1 = 0 and x Î Z}   B = {x : x is a prime number and 19 < x < 23}
  1. A.A
  2. B.B  
  3. C.Both A and B
  4. D.None of the above 
12
The set {x : x4 = 1 and x R} is .....X.... set. Here, X refers to
  1. A.empty
  2. B.finite
  3. C.infinite
  4. D.singleton 
13
The universal set for the sets   
A = {x : x2 – 5x + 6 = 0} and   
B = {x : x2 – 3x + 2 = 0} having least number of elements is
  1. A.{1, 2}
  2. B.{1, 3}
  3. C.{1, 2, 3}
  4. D.{0, 1, 2, 3}
14
If A = {1, 2, 3}, B = {x € R : x2 – 2x + 1 = 0}, 
C = {1, 2, 2, 3} and 
D = {x € R : x3 – 6x2 + 11x – 6 = 0}, then the equal sets are
  1. A.A and B
  2. B.A and C  
  3. C.A, B and C 
  4. D.A, C and D
15
If A = (–3, 5) and  B = [–7, 9], then
  1. A.A = B
  2. B.A B 
  3. C.B A
  4. D.None of these 

Science

1
In ruby laser, the stimulated emission is due to transition from
  1. A.metastable state to any lower state
  2. B.any higher state of lower state
  3. C.metastable state to ground state
  4. D.any higher state to ground state
2
A direct current I flows along the length of an infinitely long straight thin walled pipe, then the magnetic field is
  1. A.uniform throughout the pipe not zero
  2. B.zero only along the axis of the pipe
  3. C.zero at any point inside the pipe
  4. D.maximum at the centre and minimum at the edge
3
10-6 M NaOH is diluted 100 times. The pH of the diluted base is
  1. A.between 7 and 8
  2. B.between 5 and 6
  3. C.between 6 and 7
  4. D.between 10 and 11
4
In the electrolysis of acidulated water, it is desired to obtain 1.12 cc of hydrogen per second under STP condition. The current to be passed is
  1. A.1.93 A         
  2. B.9.65 A
  3. C.19.3 A        
  4. D.0.965 A
5
The one which decreases with dilution is
  1. A.molar conductance
  2. B.conductance
  3. C.specific conductance
  4. D.equivalent conductance
6
The respiratory quotient during cellular respiration would depend on
  1. A.the nature of enzymes involved
  2. B.the nature of the substrate
  3. C.the amount of carbon dioxide released
  4. D.the amount of oxygen utilised
7
Which of the following is not a green - house gas ?
  1. A.Water vapour
  2. B.Carbon monoxide
  3. C.Methane
  4. D.Oxygen
8
Both husband and wife have normal vision though their fathers were colorblind and mothers did not have any gene for colorblindness. The probability of their daughters becoming colorblind is
  1. A.50%          
  2. B.75%
  3. C.0% 
  4. D.25%
9
An animal, which has both exoskeleton and endoskeleton structures is a
  1. A.fresh-water mussel
  2. B.tortoise
  3. C.frog
  4. D.jelly fish
10
Identify the group, which includes animals all of which give birth to young ones directly?
  1. A.Dolphin, kangaroo, bat, cat
  2. B.Platypus, penguin, bat, hippopotamus
  3. C.shrew, bat, kiwi, car
  4. D.Lion, whale, ostrich, bat

English

1
I go to Madurai by —– Vaigai Express
  1. A.a
  2. B.an
  3. C.some
  4. D.the
2
Have the car stolen!
  1. A.Steal the car
  2. B.You should have the stolen car
  3. C.Get someone to steal the car
  4. D.They have stolen the car
3
The payment was collected by the hardworking salesman.
  1. A.The hardworking salesman collected the payment.
  2. B.the salesman who worked heard was able to collect the payment.
  3. C.to collect the payment the salesman had to work hard.
  4. D.The hardworking salesman was able to collect the payment.
4
I had to stop all my work to complete this project.
  1. A.All other work had to be stopped to complete this project by me
  2. B.For completing this project all other work must be stopped
  3. C.For completing this project I had to stop all my work
  4. D.To complete this project all other work had been stopped by me
5
They have published the names of all the successful candidates.
  1. A.The candidates who have succeeded their names they had published.
  2. B.The names of all the successful candidates have been published by them
  3. C.The candidates who have succeeded their names have been published by them.
  4. D.The names of all the successful candidate were published by them. 
6
The online shopping site lowered the prices.
  1. A.Lowering of the prices was done by the online shopping site
  2. B.The prices were lowered by the online shopping site
  3. C.The prices had been lowered by the online shopping site
  4. D.The prices have been lowered by the online shopping site
7
Who taught you to drive a truck ?
  1. A.To drive a truck by whom were you taught?
  2. B.Driving a truck by who were you taught?
  3. C.Driving a truck by who were you being taught?
  4. D.By whom were you taught to drive a truck?
8
We shall invite Suresh.
  1. A.Suresh would be invited by us
  2. B.Suresh would have been invited by us
  3. C.Suresh will be invited by us
  4. D.Suresh will have been invited by us
9
Dark clouds have overcast the evening sky.
  1. A.By the dark clouds the evening sky was overcast.
  2. B.The evening sky has been overcast by the dark clouds.
  3. C.Dark clouds overcastted the evening sky.
  4. D.The sky of the evening was overcasted by dark clouds.
10
The partners will celebrate their triumph tomorrow. 
  1. A.The triumph would be celebrated by the partners a day before
  2. B.The triumph would be celebrated by the partners a day after
  3. C.The triumph would have been celebrated by the partners a day after
  4. D.The triumph will have been celebrated by the partners tomorrow
11
Why did break the vase?
  1. A.why is the vase broken by him
  2. B.why was the vase broken by him
  3. C.why had been the vase broken by him
  4. D.why has been the vase broken by him
12
Mariam was writing a note to her boss.
  1. A.A note was written to her boss by Mariam
  2. B.A note was wrote by Mariam to her boss
  3. C.A note was being written by Mariam to her boss
  4. D.A note was written by Mariam to her boss
13
The baby really enjoys that music.
  1. A.That music was really enjoyed by the baby.
  2. B.That music was really being enjoyed by the baby.
  3. C.That music is really enjoyed by the baby.
  4. D.This music was really enjoyed by the baby.
14
The weather disrupted the final match.
  1. A.The final match has been disrupted by the weather.
  2. B.The final match had been disrupted by the weather.
  3. C.The final match was disrupted by the weather. 
  4. D.The final match was being disrupted by the weather.
15
The management committee is required to publish a report every year. 
  1. A.report would be published by the management committee every year.
  2. B.A report would have been published by the management committee every year.
  3. C.A report requires to be published by the management committee every year.
  4. D.Every year the report would be published by the management committee.
16
Preeti ran the race in record time.
  1. A.In record time Preeti ran the race.
  2. B. The race was run by Preeti in record time
  3. C.The race was being run by Preeti in record time
  4. D.The race had been run by Preeti in record time
17
I shall have written the full thesis by December
  1. A.By December I shall have wrote the full thesis.
  2. B.The full thesis will have been written by me by December.
  3. C.The full Thesis will be wrote by me by December
  4. D.By December the full thesis must have been wrote by me.
18
One must keep one’s promises.
  1. A.One’s promises must be kept by one.
  2. B.One’s promises had to be kept.
  3. C.Promises must be kept.
  4. D.Promises have to be kept by one.
19
I read the story in one night.
  1. A.The story had been read by me in one night.
  2. B.The story has been read by me in one night
  3. C.n one night the story has been read by me.
  4. D.the story was read by me in one night
20
We must take care of the old.
  1. A.Those who are old need to be taken care of by us.
  2. B.The old must be taken care of by us. 
  3. C.Those who are old need care by us
  4. D.The old should be taken care of by us.
21
My father generously donated money to the church.
  1. A.Money is generously being donated to te church by my father.
  2. B.Money has been generously donated to the church by my father.
  3. C.Money had been generously donated to the church by my father.
  4. D.Money was generously donated to the church by my father.
22
We will send you your laboratory reports as soon as they are ready
  1. A.you would be sent your laboratory reports as soon as they will be ready.
  2. B.Your laboratory reports will be sent to you as soon as they are ready.
  3. C.You would be send your laboratory reports as soon as they will be ready.
  4. D.Your laboratory reports should be sent to you as soon as they will be ready.
23
I saw the master conducting the orchestra.
  1. A.I saw that the orchestra was being conducted by the master.
  2. B.I saw the orchestra being conducted by te master
  3. C.The master was seen conducting the orchestra by me.
  4. D.The master was conducting the orchestra and I saw that.
24
The dog is being fed by us.
  1. A.We fed the dog.
  2. B.We have had been feeding the dog.
  3. C.We are feeding the dog 
  4. D.We had been feeding the dog
25
When did Rohit return my bike?
  1. A.When was my bike returned by Rohit?
  2. B.When was it that Rohit returned my bike?
  3. C.Rohit returned my bike when?
  4. D.When did my bike come back from Rohit?
26
They are going to watch a drama tomorrow.
  1. A.A drama is going to be watched by them tomorrow.
  2. B.A drama will be watched by them tomorrow.
  3. C.A drama will be watched by them tomorrow.
  4. D.A drama was going to be watched by them tomorrow.
      Tomorrow the drama is going to be watched by them.
27
The event manager is making all the reservations.
  1. A.All the reservations would be made by the event manager.
  2. B.All the reservations are being made by the event manager.
  3. C.All the reservations would have been made by the event manager.
  4. D.All the reservations will have been made by the event manager.
28
The Marathas surrendered their fort to the Mughals after the war.
  1. A.After the war the Marathas had to surrender their fort to the Mughals.
  2. B.The Mughals after the war took fort surrendered by the Marathas.
  3. C.Their fort was surrendered by the Marathas to the Mughals after the war
  4. D.the Marathas after the war surrendered their fort to the Mughals.
29
Mother filled dark filtered coffee in the cup.
  1. A.The cup was filled with dark filtered coffee by mother.
  2. B.Mother filled in the cup coffee which was dark and filtered coffee.
  3. C.The cup was being by mother with dark filtered coffee.
  4. D.The filtered coffee which was dark was filled into the cup by mother.
30
The most useful gift of my wedding was given to me by my aunt.
  1. A.My aunt gave me the most useful gift of my wedding.
  2. B.My aunt had given me the most useful gift of my wedding.
  3. C.The gift which has been most useful has been given to me by my aunt.
  4. D.My aunt has given me the most useful gift of my wedding.
31
The painting had not been painted by the famous painter. 
  1. A.The panting had never been painted the painting.
  2. B.The painter who was famous not had painted the painting.
  3. C.The famous painter had not painted te painting
  4. D.The famous painter could not have painted the painting.
32
The Kangaroo carried her baby in her pouch.
  1. A.The baby is carried by the kangaroo in er pouch.
  2. B.The is being carried by the kangaroo in her pouch
  3. C.The baby had been carried by the kangaroo in her pouch.
  4. D.The baby was carried by the kangaroo in her pouch.
33
The painters painted the entire building.
  1. A.The entire building had been painted by the painters.
  2. B.The painters had an entire building painted.
  3. C.The entire building was painted by the painters.
  4. D.The entire building has been painted by the painters.
34
The office boy vacuums and dusts the office every morning.
  1. A.Every morning the office had been vacuumed and dusted by the office boy.
  2. B.Every morning the office is vacuumed and dusted by the office boy.
  3. C.Every morning the office has been vacuumed and dusted by the office boy.
  4. D.Every morning the office has been vacuumed
35
I will wash the car every Sunday. 
  1. A.The car would be washed by me every Sunday.
  2. B.The car will be washed by me every Sunday.
  3. C.Every Sunday the car would be washed by me.
  4. D.The car will have been washed by me every Sunday.
36
The owners remodelled car to help it sell
  1. A.The car was remodelled by the owners to help it sell
  2. B.The car is being remodelled by the owners to help it sell.
  3. C.The car was remodelled by the owners to help it being sold.
  4. D.The car is being remodeled by the owners to help it being sold.
37
I used (A)/ a pair of black trousers (B) / for a week (C)/ No error (D)
  1. A.A
  2. B.B
  3. C.C
  4. D.D
38
The seawater eventually corroded the pillars of the bridge.
  1. A.Eventually the pillars of the bridge are being corroded by the seawater.
  2. B. Eventually the pillars of the bridge have been corroded by the seawater.
  3. C.The pillars of the bridge were eventually corroded by the seawater.
  4. D.The pillars of the bridge have been eventually corroded by the seawater
39
The teacher will give you instructions.
  1. A.Instructions would be given to you by the teacher.
  2. B.Instructions will have been given to you by the teacher.
  3. C.Instructions will be given to you by the teacher.
  4. D.Instructions were given to you by the teacher.
40
It is impossible to do this job.
  1. A.This job is impossible to be done.
  2. B.This job cannot be done with.
  3. C.No one can do this job.
  4. D.This job cannot be done by anyone.
41
Abhinav Bindra won the gold medal at the 2008 Beijing Olympic Games.
  1. A.Gold medal was won by Abhinav Bindra at the 2008 Beijing Olympic Games.
  2. B.In 2008 at the Beijing Olympic Games Abhinav Bindra had won the Gold medal.
  3. C.At the 2008 Beijing Olympic Games Abhinav Bindra won the Gold medal.
  4. D.Abhinav Bindra must have won at the Beijing Olympics Games which were conducted in 2008.
42
Jayesh has sent the email
  1. A.The email has had been sent by Jayesh
  2. B.The email has been sent by Jayesh
  3. C.The email was sent by Jayesh
  4. D.The email was send by Jayesh
43
           are regional variations of a language.
  1. A.English
  2. B.Mandarin Chinese
  3. C.Home language
  4. D.Dialects
44
Sunny was driving the car so fast that it slipped at the turn.
  1. A.Sunny slipped at the turn as he was driving the car so fast.
  2. B.So fast was Sunny driving the car that it slipped at the turn.
  3. C.The car was being driven by Sunny so fast that it slipped at the turn.
  4. D.The car slipped at the turn as Sunny was driving it so fast.
45
Can we send this container by ship?
  1. A.can this container by sent by ship?
  2. B.Could this container be sent by ship by us?
  3. C.Could have we sent this container by ship?
  4. D.This container can be sent by ship. Can we?
46
My father decorated the entire house.
  1. A.The entire house was decorated by my father. 
  2. B.The entire house was being decorated by my father.
  3. C.The entire house has been decorated by my father.
  4. D.The entire house had been decorated by my father.
47
Some farmers raise sugarcane in Kerala.
  1. A.Sugarcane is raised by some farmers in Kerala.
  2. B.Sugarcane was raised by some farmers in Kerala.
  3. C.Sugarcane was being raised by some farmers in Kerala.
  4. D.Sugarcane has been raised by some farmers in Kerala.
48
Sahil said, “Where will I be this time next year!”
  1. A.Sahil asked where he should be that time the following year.
  2. B.Sahil worried where he would be that time the next year.
  3. C.Sahil wondered where he would be that time the following year.
  4. D.Sahil said where he should be that time the next year.
49
Who ate the last pastry?
  1. A.The last pastry was eaten by whom?
  2. B.The last pastry was eaten by who?
  3. C.The last pastry had been eaten by who?
  4. D.The last pastry has been eaten by whom?
50
He said,“I bought an iPhone 6 yesterday.”
  1. A.He said that he had bought an iPhone 6 the previous day
  2. B.He said he bought an iPhone 6 the previous day
  3. C.He said that he has bought an iPhone 6 yesterday
  4. D.He exclaimed, an iPhone 6 has been bought by him yesterday
51
Someone gave the old man a push.
  1. A.The old man got a push from someone.
  2. B.somebody had given a push to the old man. 
  3. C.The old man was being pushed by someone.
  4. D.A push was given to the old man.
52
My father is going to build a six bedroom bungalow. 
  1. A.A six bedroom bungalow was going to be built by my father.
  2. B.My father will have built a bungalow which will have six bedrooms.
  3. C.a bungalow of six bedrooms will have been built by my father. 
  4. D.A six bedroom bungalow is going to be built by my father.
53
Ravi had committed a mistake
  1. A.A mistake has been committed by Ravi.
  2. B.A mistake had been committed by Ravi.
  3. C.A mistake was committed by Ravi.
  4. D. A mistake is committed by Ravi.
54
‘Are you coming with us?’ Isha asked Nisha.
  1. A.Isha asked Nisha whether she would be going with them.
  2. B.Isha asked Nisha if she going with them.
  3. C.Isha asked Nisha whether she would go with them.
  4. D.Isha asked Nisha whether she would come with us.
55
My sister will bake a dozen cakes for the fair.
  1. A.For the fair, a dozen cakes would be backed by my sister.
  2. B.For the fair, a dozen cakes would have been backed by my sister.
  3. C.For the fair, a dozen cakes will be backed by my sister.
  4. D.For the fair, a dozen cakes will have been backed by my sister.

General Knowledge

1
Which was the app launched by ‘FSSAI’ for license & registration to food businesses?
  1. A.DigiNest                            
  2. B.FSSAI Trace
  3. C.Meghdoot                       
  4. D.Food Safety Connect
2
In October 2021, ____ partnered with ‘IRCTC’ to provide passengers with greater trust in communication by verifying the National Railways Helpline Number _____.
  1. A.Google India; 139               
  2. B.Truecaller India; 109
  3. C.Google India; 109            
  4. D.Truecaller India; 139
3
Which Insurance Company recently (in October 2021) became the 1st life Insurer to join the Account Aggregator (AA) framework?
  1. A.Tata AIA Life Insurance                
  2. B.Max Life Insurance
  3. C.Aegon Life Insurance                       
  4. D.SBI Life Insurance 
4
In October 2021, Shaktikanta Das, the _____ Governor of RBI, got a ____ tenure extension from the appointment Committee of the Cabinet (ACC).
  1. A.25th; 5-year                 
  2. B.24th; 5-year
  3. C.25th; 3-year                
  4. D.26th 5-year
5
Ò€‹In October 2021, which of the following countries has launched its first manned ocean mission “Samudrayan”?
  1. A.India                   
  2. B.Sri Lanka
  3. C.Brazil                  
  4. D.Maldives
6
In October 2021, 30th edition of “Hunar Haat” has been inaugurated at which of the following cities?
  1. A.Bangalore                
  2. B.Kolkata
  3. C.Pune                          
  4. D.Dehradun
7
In October 2021, who among the following has been appointed as the High Commissioner of India to Brunei?
  1. A.Suresh K. Reddy           
  2. B.Alok Amitabh Dimri
  3. C.S. Balachandran          
  4. D.Sujan R. Chinoy             
8
In October 2021, which of the following states has announced the Mukhyamantri Awasiya Bhu-adhikar Yojna?
  1. A.Madhya Pradesh            
  2. B.Bihar
  3. C.Uttarakhand                 
  4. D.Uttar Pradesh
9
World Thrift Day is celebrated every year on October 31, across the world, but in India, the day is celebrated annually on which day?
  1. A.27 October                 
  2. B.28 October
  3. C.30 October                 
  4. D.31 October
10
In October 2021, which of the following has approved a $250 million loan to support the Government of India’s National Industrial Corridor Development Program (NICDP)?
  1. A.NDB               
  2. B.IMF
  3. C.ADB                              
  4. D.NABARD
11
Mullaperiyar dam, located in Kerala, is in control of which state?
  1. A.Karnataka              
  2. B.Tamil Nadu
  3. C.Andhra Pradesh       
  4. D.Telangana
12
Who is the Fund Manager of the SWAMIH Fund?
  1. A.Aditya Birla Sun Life               
  2. B.SBI Cap
  3. C.Kotak Mahindra                    
  4. D.Canara Robeco
13
Which institution released a report titled ‘The Road from Paris; India’s Progress Towards its Climate Pledge’?
  1. A.NITI Aayog               
  2. B.NABARD
  3. C.WWF                    
  4. D.Natural Resources Defense Council  
14
US state of Georgia has announced to celebrate which Indian language as ‘Rajyotsava Day’?
  1. A.Kannada                 
  2. B.Tamil
  3. C.Malayalam               
  4. D.Telugu
15
Sitting Bull, who was seen in the news recently, was a native ________leader.
  1. A.Greek                    
  2. B.African
  3. C.American                
  4. D.Australian
16
Where was India’s 1st Manned Ocean Mission ‘Samudrayan’ launched by the Ministry of Earth Science?
  1. A.Gurugram, Haryana                  
  2. B.Noida, Uttar Pradesh
  3. C.Mumbai, Maharashtra         
  4. D.Chennai, Tamil Nadu 
17
Which Country chaired the 13th Meeting of Heads of National Statistical Offices (NSO) of BRICS that was held virtually in October 2021?
  1. A.Brazil                  
  2. B.Russia
  3. C.India                   
  4. D.China
18
Where was India’s largest landfill gas-to-compressed biogas plant launched (in Oct’21) by Ramky Enviro Engineers Limited (REEL)?
  1. A.Gurugram, Haryana              
  2. B.Noida, Uttar Pradesh
  3. C.Hyderabad, Telangana     
  4. D.Chennai, Tamil Nadu
19
What is the theme of 14th Edition of Urban Mobility India (UMI) Conference 2021?
  1. A.Mobility for All                  
  2. B.Green Urban Mobility   
  3. C.Accessible and Liveable Cities           
  4. D.Emerging Trends in Urban Mobility
20
Who authored the book, “The Nutmeg’s Curse: A Parable for a Planet in Crisis”?
  1. A.Kiran Desai                        
  2. B.Anita Desai
  3. C.Vikram Seth             
  4. D.Amitav Ghosh