The payment was collected by the hardworking salesman.
A
The hardworking salesman collected the payment.
B
the salesman who worked heard was able to collect the payment.
C
to collect the payment the salesman had to work hard.
D
The hardworking salesman was able to collect the payment.
Question 4Single Answer
I had to stop all my work to complete this project.
A
All other work had to be stopped to complete this project by me
B
For completing this project all other work must be stopped
C
For completing this project I had to stop all my work
D
To complete this project all other work had been stopped by me
Question 5Single Answer
They have published the names of all the successful candidates.
A
The candidates who have succeeded their names they had published.
B
The names of all the successful candidates have been published by them
C
The candidates who have succeeded their names have been published by them.
D
The names of all the successful candidate were published by them.ย
Question 6Single Answer
The online shopping site lowered the prices.
A
Lowering of the prices was done by the online shopping site
B
The prices were lowered by the online shopping site
C
The prices had been lowered by the online shopping site
D
The prices have been lowered by the online shopping site
Question 7Single Answer
Who taught you to drive a truck ?
A
To drive a truck by whom were you taught?
B
Driving a truck by who were you taught?
C
Driving a truck by who were you being taught?
D
By whom were you taught to drive a truck?
Question 8Single Answer
We shall invite Suresh.
A
Suresh would be invited by us
B
Suresh would have been invited by us
C
Suresh will be invited by us
D
Suresh will have been invited by us
Question 9Single Answer
Dark clouds have overcast the evening sky.
A
By the dark clouds the evening sky was overcast.
B
The evening sky has been overcast by the dark clouds.
C
Dark clouds overcastted the evening sky.
D
The sky of the evening was overcasted by dark clouds.
Question 10Single Answer
The partners will celebrate their triumph tomorrow.ย
A
The triumph would be celebrated by the partners a day before
B
The triumph would be celebrated by the partners a day after
C
The triumph would have been celebrated by the partners a day after
D
The triumph will have been celebrated by the partners tomorrow
Question 11Single Answer
Why did break the vase?
A
why is the vase broken by him
B
why was the vase broken by him
C
why had been the vase broken by him
D
why has been the vase broken by him
Question 12Single Answer
Mariam was writing a note to her boss.
A
A note was written to her boss by Mariam
B
A note was wrote by Mariam to her boss
C
A note was being written by Mariam to her boss
D
A note was written by Mariam to her boss
Question 13Single Answer
The baby really enjoys that music.
A
That music was really enjoyed by the baby.
B
That music was really being enjoyed by the baby.
C
That music is really enjoyed by the baby.
D
This music was really enjoyed by the baby.
Question 14Single Answer
The weather disrupted the final match.
A
The final match has been disrupted by the weather.
B
The final match had been disrupted by the weather.
C
The final match was disrupted by the weather.ย
D
The final match was being disrupted by the weather.
Question 15Single Answer
The management committee is required to publish a report every year.ย
A
report would be published by the management committee every year.
B
A report would have been published by the management committee every year.
C
A report requires to be published by the management committee every year.
D
Every year the report would be published by the management committee.
Question 16Single Answer
Preeti ran the race in record time.
A
In record time Preeti ran the race.
B
ย The race was run by Preeti in record time
C
The race was being run by Preeti in record time
D
The race had been run by Preeti in record time
Question 17Single Answer
I shall have written the full thesis by December
A
By December I shall have wrote the full thesis.
B
The full thesis will have been written by me by December.
C
The full Thesis will be wrote by me by December
D
By December the full thesis must have been wrote by me.
Question 18Single Answer
One must keep oneโs promises.
A
Oneโs promises must be kept by one.
B
Oneโs promises had to be kept.
C
Promises must be kept.
D
Promises have to be kept by one.
Question 19Single Answer
I read the story in one night.
A
The story had been read by me in one night.
B
The story has been read by me in one night
C
n one night the story has been read by me.
D
the story was read by me in one night
Question 20Single Answer
We must take care of the old.
A
Those who are old need to be taken care of by us.
B
The old must be taken care of by us.ย
C
Those who are old need care by us
D
The old should be taken care of by us.
Question 21Single Answer
My father generously donated money to the church.
A
Money is generously being donated to te church by my father.
B
Money has been generously donated to the church by my father.
C
Money had been generously donated to the church by my father.
D
Money was generously donated to the church by my father.
Question 22Single Answer
We will send you your laboratory reports as soon as they are ready
A
you would be sent your laboratory reports as soon as they will be ready.
B
Your laboratory reports will be sent to you as soon as they are ready.
C
You would be send your laboratory reports as soon as they will be ready.
D
Your laboratory reports should be sent to you as soon as they will be ready.
Question 23Single Answer
I saw the master conducting the orchestra.
A
I saw that the orchestra was being conducted by the master.
B
I saw the orchestra being conducted by te master
C
The master was seen conducting the orchestra by me.
D
The master was conducting the orchestra and I saw that.
Question 24Single Answer
The dog is being fed by us.
A
We fed the dog.
B
We have had been feeding the dog.
C
We are feeding the dogย
D
We had been feeding the dog
Question 25Single Answer
When did Rohit return my bike?
A
When was my bike returned by Rohit?
B
When was it that Rohit returned my bike?
C
Rohit returned my bike when?
D
When did my bike come back from Rohit?
Question 26Single Answer
They are going to watch a drama tomorrow.
A
A drama is going to be watched by them tomorrow.
B
A drama will be watched by them tomorrow.
C
A drama will be watched by them tomorrow.
D
A drama was going to be watched by them tomorrow.
ย Tomorrow the drama is going to be watched by them.
Question 27Single Answer
The event manager is making all the reservations.
A
All the reservations would be made by the event manager.
B
All the reservations are being made by the event manager.
C
All the reservations would have been made by the event manager.
D
All the reservations will have been made by the event manager.
Question 28Single Answer
The Marathas surrendered their fort to the Mughals after the war.
A
After the war the Marathas had to surrender their fort to the Mughals.
B
The Mughals after the war took fort surrendered by the Marathas.
C
Their fort was surrendered by the Marathas to the Mughals after the war
D
the Marathas after the war surrendered their fort to the Mughals.
Question 29Single Answer
Mother filled dark filtered coffee in the cup.
A
The cup was filled with dark filtered coffee by mother.
B
Mother filled in the cup coffee which was dark and filtered coffee.
C
The cup was being by mother with dark filtered coffee.
D
The filtered coffee which was dark was filled into the cup by mother.
Question 30Single Answer
The most useful gift of my wedding was given to me by my aunt.
A
My aunt gave me the most useful gift of my wedding.
B
My aunt had given me the most useful gift of my wedding.
C
The gift which has been most useful has been given to me by my aunt.
D
My aunt has given me the most useful gift of my wedding.
Question 31Single Answer
The painting had not been painted by the famous painter.ย
A
The panting had never been painted the painting.
B
The painter who was famous not had painted the painting.
C
The famous painter had not painted te painting
D
The famous painter could not have painted the painting.
Question 32Single Answer
The Kangaroo carried her baby in her pouch.
A
The baby is carried by the kangaroo in er pouch.
B
The is being carried by the kangaroo in her pouch
C
The baby had been carried by the kangaroo in her pouch.
D
The baby was carried by the kangaroo in her pouch.
Question 33Single Answer
The painters painted the entire building.
A
The entire building had been painted by the painters.
B
The painters had an entire building painted.
C
The entire building was painted by the painters.
D
The entire building has been painted by the painters.
Question 34Single Answer
The office boy vacuums and dusts the office every morning.
A
Every morning the office had been vacuumed and dusted by the office boy.
B
Every morning the office is vacuumed and dusted by the office boy.
C
Every morning the office has been vacuumed and dusted by the office boy.
D
Every morning the office has been vacuumed
Question 35Single Answer
I will wash the car every Sunday.ย
A
The car would be washed by me every Sunday.
B
The car will be washed by me every Sunday.
C
Every Sunday the car would be washed by me.
D
The car will have been washed by me every Sunday.
Question 36Single Answer
The owners remodelled car to help it sell
A
The car was remodelled by the owners to help it sell
B
The car is being remodelled by the owners to help it sell.
C
The car was remodelled by the owners to help it being sold.
D
The car is being remodeled by the owners to help it being sold.
Question 37Single Answer
The seawater eventually corroded the pillars of the bridge.
A
Eventually the pillars of the bridge are being corroded by the seawater.
B
ย Eventually the pillars of the bridge have been corroded by the seawater.
C
The pillars of the bridge were eventually corroded by the seawater.
D
The pillars of the bridge have been eventually corroded by the seawater
Question 38Single Answer
The teacher will give you instructions.
A
Instructions would be given to you by the teacher.
B
Instructions will have been given to you by the teacher.
C
Instructions will be given to you by the teacher.
D
Instructions were given to you by the teacher.
Question 39Single Answer
It is impossible to do this job.
A
This job is impossible to be done.
B
This job cannot be done with.
C
No one can do this job.
D
This job cannot be done by anyone.
Question 40Single Answer
Abhinav Bindra won the gold medal at the 2008 Beijing Olympic Games.
A
Gold medal was won by Abhinav Bindra at the 2008 Beijing Olympic Games.
B
In 2008 at the Beijing Olympic Games Abhinav Bindra had won the Gold medal.
C
At the 2008 Beijing Olympic Games Abhinav Bindra won the Gold medal.
D
Abhinav Bindra must have won at the Beijing Olympics Games which were conducted in 2008.
Question 41Single Answer
Jayesh has sent the email
A
The email has had been sent by Jayesh
B
The email has been sent by Jayesh
C
The email was sent by Jayesh
D
The email was send by Jayesh
Question 42Single Answer
ย ย ย ย ย ย are regional variations of a language.
A
English
B
Mandarin Chinese
C
Home language
D
Dialects
Question 43Single Answer
Sunny was driving the car so fast that it slipped at the turn.
A
Sunny slipped at the turn as he was driving the car so fast.
B
So fast was Sunny driving the car that it slipped at the turn.
C
The car was being driven by Sunny so fast that it slipped at the turn.
D
The car slipped at the turn as Sunny was driving it so fast.
Question 44Single Answer
Can we send this container by ship?
A
can this container by sent by ship?
B
Could this container be sent by ship by us?
C
Could have we sent this container by ship?
D
This container can be sent by ship. Can we?
Question 45Single Answer
My father decorated the entire house.
A
The entire house was decorated by my father.ย
B
The entire house was being decorated by my father.
C
The entire house has been decorated by my father.
D
The entire house had been decorated by my father.
Question 46Single Answer
Some farmers raise sugarcane in Kerala.
A
Sugarcane is raised by some farmers in Kerala.
B
Sugarcane was raised by some farmers in Kerala.
C
Sugarcane was being raised by some farmers in Kerala.
D
Sugarcane has been raised by some farmers in Kerala.
Question 47Single Answer
Sahil said, โWhere will I be this time next year!โ
A
Sahil asked where he should be that time the following year.
B
Sahil worried where he would be that time the next year.
C
Sahil wondered where he would be that time the following year.
D
Sahil said where he should be that time the next year.
Question 48Single Answer
Who ate the last pastry?
A
The last pastry was eaten by whom?
B
The last pastry was eaten by who?
C
The last pastry had been eaten by who?
D
The last pastry has been eaten by whom?
Question 49Single Answer
He said,โI bought an iPhone 6 yesterday.โ
A
He said that he had bought an iPhone 6 the previous day
B
He said he bought an iPhone 6 the previous day
C
He said that he has bought an iPhone 6 yesterday
D
He exclaimed, an iPhone 6 has been bought by him yesterday
Question 50Single Answer
Someone gave the old man a push.
A
The old man got a push from someone.
B
somebody had given a push to the old man.ย
C
The old man was being pushed by someone.
D
A push was given to the old man.
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General Studies
Question 51Single Answer
Yojna a weekly journal
A
Ministry of Financeย ย ย ย ย
B
Ministry of Information and Broadcastin
C
Ministry of Rural Development
D
Planning Commission
Question 52Single Answer
Kurukshetra a journal on rural development is published by
A
Ministry of Financeย
B
Ministry of Information and Broadcastin
C
Ministry of Rural Development
D
Planning Commission
Question 53Single Answer
Devaluation of a currency means
A
Fixing the value of the currency in conjuction with the movement in the value of a basket of predetermined currencies
B
Reduction in the value of a currency vis-à-vis major internationally traded currencies
C
Fixing the value of currency in multilateral consultaion with the IMF the World Bank and major trading partners
D
Permitting the currency to seek its worth in the international market
Question 54Single Answer
Which river forms the boundary between Andhra Pradesh and Telangana ?
A
Krishna
B
Godavari
C
Tungabhadra
D
Penna
Question 55Single Answer
What is the highest peak in Andhra Pradesh ?
A
Anaimudi
B
Mahendragiri
C
Arma Konda
D
Kailasagiri
Question 56Single Answer
The Coromandel Coast is located in which part of Andhra Pradesh ?
A
Northern
B
Southern
C
Eastern
D
Western
Question 57Single Answer
Which of the following districts is not part of the Rayalaseema region ?
A
Anantapur
B
Kurnool
C
Kadapa
D
Visakhapatnam
Question 58Single Answer
Which one of the following rivers does not flow through Andhra Pradesh ?
A
Krishna
B
Godavari
C
Tungabhadra
D
Cauvery
Question 59Single Answer
Which of the following wildlife sanctuaries is located in Andhra Pradesh ?
A
Bandipur National Park
B
Nagarjunsagar-Srisailam Tiger Reserve
C
Bandhavgarh National Park
D
Jim Corbett National Park
Question 60Single Answer
Which one of the following is not a port in Andhra Pradesh ?
A
Visakhapatnam Port
B
Krishnapatnam Port
C
Kakinada Port
D
Kolkata Port
Question 61Single Answer
Which district in Andhra Pradesh is famous for its beaches ?
A
Vijayanagaram
B
Nellore
C
Srikakulam
D
Chittoor
Question 62Single Answer
What is the name of the largest freshwater lake in Andhra Pradesh ?
A
Pulicat Lake
B
Kolleru Lake
C
Hussain Sagar Lake
D
Chilika Lake
Question 63Single Answer
Which district in Andhra Pradesh is known for its granite reserves ?
A
Anantapur
B
Guntur
C
Prakasam
D
Srikakulam
Question 64Single Answer
Which of the following hills is not located in Andhra Pradesh ?
A
Eastern Ghats
B
Nallamala Hills
C
Anaimalai Hills
D
Palkonda Hills
Question 65Single Answer
The Papikonda Wildlife Sanctuary is located in which district of Andhra Pradesh ?
A
West Godavari
B
East Godavari
C
Krishna
D
Guntur
Question 66Single Answer
Which river forms the picturesque Papi Hills in Andhra Pradesh ?
A
Krishna
B
Godavari
C
Tungabhadra
D
Penna
Question 67Single Answer
Which of the following is not a hill station in Andhra Pradesh ?
A
Araku Valley
B
Horsley Hills
C
Lambasingi
D
Kodaikanal
Question 68Single Answer
Where is the Venkateswara Temple, one of the richest temples in the world, located ?
A
Tirupati
B
Vijayawada
C
Visakhapatnam
D
Kurnool
Question 69Single Answer
Which district in Andhra Pradesh is famous for its diamond mines ?
A
Kadapa
B
Anantapur
C
Krishna
D
Guntur
Question 70Single Answer
The Nagarjuna Sagar Dam is built across which river ?
A
Krishna
B
Godavari
C
Penna
D
Tungabhadra
Question 71Single Answer
Which of the following is not a national park in Andhra Pradesh ?
A
Sri Venkateswara National Park
B
Rajiv Gandhi National Park
C
Papikonda National Park
D
Mahavir Harina Vanasthali National Park
Question 72Single Answer
Which district in Andhra Pradesh is known as the 'Rice Bowl of India' ?
A
West Godavari
B
East Godavari
C
Krishna
D
Guntur
Question 73Single Answer
Where is the Simhachalam Temple, dedicated to Lord Narasimha, located ?
A
Vijayawada
B
Visakhapatnam
C
Rajahmundry
D
Guntur
Question 74Single Answer
The Andhra Pradesh State Museum is located in which city ?
A
Vijayawada
B
Tirupati
C
Hyderabad
D
Amaravati
Question 75Single Answer
What is the total length of the coastline of Andhra Pradesh ?
A
Approximately 700 km
B
Approximately 974 km
C
Approximately 580 km
D
Approximately 320 km
Question 76Single Answer
Which of the following districts in Andhra Pradesh is known for its rich limestone deposits ?
A
Visakhapatnam
B
Kurnool
C
Chittoor
D
Prakasam
Question 77Single Answer
What is the main crop cultivated in the coastal districts of Andhra Pradesh ?
A
Wheat
B
Rice
C
Maize
D
Sugarcane
Question 78Single Answer
Where is the Kondapalli Fort, known for its historical significance, located ?
A
Krishna
B
Guntur
C
Nellore
D
Prakasam
Question 79Single Answer
"Who said, 'India was a parrot unto itself'?
A
Malik Muhammad Joyce
B
Raskhan
C
Rich Khusrow
D
Rich Hasan
Question 80Single Answer
When was the Constituent Assembly of India formed?
A
1946
B
1947
C
1948
D
1950
Question 81Single Answer
Who is known as the "Missile Man of India"?
A
Dr. Homi J. Bhabha
B
Dr. Vikram Sarabhai
C
Dr. APJ Abdul Kalam
D
Dr. Satish Dhawan
Question 82Single Answer
Which organization is responsible for India's space exploration programs?
A
BARC
B
ISRO
C
DRDO
D
HAL
Question 83Single Answer
In which year did India successfully launch its first satellite, Aryabhata?
A
1975
B
1965
C
1980
D
1990
Question 84Single Answer
What is the name of India's first indigenously developed satellite launched by ISRO?
A
INSAT-1A
B
Aryabhata
C
Rohini
D
Bhaskara
Question 85Single Answer
What is the name of India's first nuclear reactor?
A
Dhruva
B
Kamini
C
Apsara
D
Kalpakkam
Question 86Single Answer
What astronomical discovery was announced by astronomers in March 2026?
A
New planet in solar system
B
Discovery related to 1,900 light-years away (specific object)
C
Black hole merger
D
Exoplanet with life signs
Question 87Single Answer
On what date in March 2026 did Prime Minister Narendra Modi become Indiaโs longest-serving head of government?
A
15 March
B
20 March
C
22 March
D
25 March
Question 88Single Answer
What major infrastructure project was inaugurated by PM Narendra Modi on 28 March 2026?
A
Mumbai Trans Harbour Link
B
Atal Tunnel
C
Noida International Airport
D
Chenab Bridge
Question 89Single Answer
What was the status of India-US trade relations highlighted in early 2026 leading into March developments?
A
Increased tariffs
B
Breakthrough deal reducing US tariffs on Indian goods to 18%
C
Complete trade halt
D
New sanctions
Question 90Single Answer
What was the fiscal deficit target set for FY 2026-27 in the Union Budget 2026-27 presented by FM Nirmala Sitharaman?
A
4.0% of GDP
B
5.0% of GDP
C
4.5% of GDP
D
4.3% of GDP
Question 91Single Answer
What was the total expenditure estimated in the Union Budget 2026-27?
A
โน49.6 lakh crore
B
โน53.5 lakh crore
C
โน55 lakh crore
D
โน60 lakh crore
Question 92Single Answer
What defence-related development was noted in the context of Indiaโs preparedness amid global tensions in March 2026?
A
Reduction in capex
B
Withdrawal from international exercises
C
Complete self-reliance achieved
D
Surge in defence budget and modernisation push
Question 93Single Answer
What significant diplomatic agreement was announced between India and Canada in early March 2026?
A
Defence pact
B
Free Trade Agreement
C
Strengthened economic partnership
D
Climate alliance
Question 94Single Answer
Which airport or port received a critical LPG shipment (Pyxis Pioneer) in March 2026 amid West Asia tensions?
A
Mundra Port
B
Paradip Port
C
New Mangalore Port
D
Kandla Port
Question 95Single Answer
What major international sporting hosting rights did India receive in March 2026?
A
2028 World Athletics Indoor Championships
B
2028 Olympics
C
2030 Asian Games
D
2027 Cricket World Cup
Question 96Single Answer
Which countryโs Foreign Minister met counterparts from Egypt and Turkiye in March 2026 to discuss West Asia tensions?
A
Pakistan
B
Saudi Arabia
C
Jordan
D
Qatar
Question 97Single Answer
What was a key focus area in the Union Budget 2026-27 regarding manufacturing?
A
Textiles only
B
Heavy industries only
C
Semiconductors, biopharma, and renewables
D
Automobile sector exclusively
Question 98Single Answer
In March 2026, PM Modi chaired a high-level meeting to review supplies of which sectors amid West Asia developments?
A
Defence and IT
B
Education and health
C
Agriculture and MSMEs
D
Petroleum, crude, gas, power, and fertiliser
Question 99Single Answer
What lunar event occurred in March 2026 visible in parts of eastern Asia, Oceania, Pacific, and the Americas?
A
Total lunar eclipse
B
Solar eclipse
C
Meteor shower peak
D
Supermoon
Question 100Single Answer
Which Indian stateโs Chief Minister Nitish Kumar announced his resignation in March 2026 to contest Rajya Sabha elections?
A
Uttar Pradesh
B
Jharkhand
C
Bihar
D
Madhya Pradesh
Aptitude Test
Question 101Single Answer
How many such pairs of letters are there in the word โCLEANLINESSโ each of the which has as many letters between them in the word as they have in the English alphabet, in the same sequence?
A
Two
B
Three
C
Five
D
Four
E
None of these
Question 102Single Answer
Team A has scored more goals than Team B
Team C has scored fewer goals than Team B
Team A has scored fewer goals than Team C .
If the first two statements are true, the third statement is
A
True
B
False
C
Uncertain
D
None
Question 103Single Answer
If it is possible to make only one meaningful word with the second, the third, the sixth and the eight letters of the word FRAGMENT using each only once, which of the following will be the third letter of that word ? If no such word can be formed, give โXโ as the answer and if more than one such word can be formed, give โYโ as the answer.
A
A
B
E
C
T
D
X
E
Y
Question 104Single Answer
How many such letters are there in the word ORIENTAL each of which is as far away from the beginning of the word as when they are arranged alphabetically?
A
Noneย ย ย ย ย ย ย ย ย ย ย ย
B
Oneย ย ย ย ย ย ย ย ย
C
Twoย ย ย ย ย ย ย
D
Threeย ย ย ย ย ย ย ย
E
More than three
Question 105Single Answer
How many such pairs of letters in the word CREDIT each of which has as many letters between them in the word as in the English alphabet?
A
None
B
One
C
Two
D
Three
E
More than three
Question 106Single Answer
How many meaningful words can be made from the letters โLMEAโ using each letter only once in each word?
A
None
B
One
C
Two
D
Three
E
More than three
Question 107Single Answer
If it is possible to make only one meaningful word with the first, the second, the seventh and the eighth letters of the word TEMPORAL, which of the following will be the first letter of that word? If more than one such word can be made, give โYโ as the answer and if no such word can be made, give โXโ as the answer.
A
T
B
L
C
E
D
Y
E
X
Question 108Single Answer
If the letters of the word HANDOVER are arranged alphabetically from left to right how many letters will remain at the same position?
A
None
B
One
C
Two
D
Three
E
More than three
Question 109Single Answer
How many such pairs of letters are there in the word EXCURSION, each of which has as many letters between them in the word as they have in the English alphabet?
A
None
B
One
C
Two
D
Three
E
More than three
Question 110Single Answer
If it is possible to make only one meaningful word with the first, the second, the third, the sixth and the eighth letters of the word DEVIATION first letter of that word is your answer? If more than one such word can be made formed your answer is โAโย and if no such word can be formed your answer is โBโ.
A
V
B
T
C
E
D
A
E
B
Question 111Single Answer
If each alternate letter beginning with the first in the word WORKING is replaced by the next letter in the English alphabet and each of the remaining letters is replaced by the previous letter in the English alphabet, which of the following will be the fourth from the right and after the replacement ?
A
N
B
Q
C
J
D
M
E
None of these
Question 112Single Answer
How many pairs of letters are there in the word โSHIFTEDโ each of which has as many letters between its two letters as there are between in the English alphabet?
A
None
B
One
C
Two
D
Three
E
None of these
Question 113Single Answer
Statement: Is common currency a necessary ingredient for Europeโs growth ?
Arguments :
I. Yes, A common currency will enable entire Europe to market itself as one .
II. No, Similar experiments by Latin America countries have not affected their economies .
A
The only argument I is strong
B
Only argument II is strong
C
Either I or II is strong
D
Neither I nor II is strong
Question 114Single Answer
If it is possible to make only one meaningful word with the first, the fifth, the sixth, the tenth and the eleventh letters of the word EXCEPTIONAL using each letter only once, first letter of that word is your answer. If no such word can be made formed your answer is โXโย and if more than one such word can be formed your answer is โYโ.
A
P
B
L
C
T
D
X
E
Y
Question 115Single Answer
How many meaningful English words can be formed with the letters RAE using each letter only once in each word?
A
None
B
One
C
Two
D
Three
E
More than three
Question 116Single Answer
The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is:__________ ?
A
51:52
B
52:53
C
51:53
D
52:55
Question 117Single Answer
Which of the following numbers is irrational ?
A
√49
B
0.125
C
√2
D
22/7
Question 118Single Answer
356 x 936 โ 356 x 836 = ?
A
35600ย ย
B
34500
C
9630
D
93600
Question 119Single Answer
Arrange in descending order: 5/8, 7/10, 3/4
A
3/4 > 7/10 > 5/8
B
7/10 > 3/4 > 5/8
C
3/4 > 5/8 > 7/10
D
5/8 > 7/10 > 3/4
Question 120Single Answer
What is (3^{4} times 9^{2}) ?
A
36
B
38
C
310
D
96
ย
Question 121Single Answer
If 34X-2 = 729, then find the value of X.
A
4ย ย ย ย ย
B
3
C
2ย
D
5
Question 122Single Answer
Convert 0.6 into fraction ?
A
3/5
B
2/3
C
4/5
Question 123Single Answer
The no. plate of a bus had peculiarity. The bus number was a perfect square. It was also a perfect square when the plate numbers were reversed. The bus company had only five hundred buses numbered from 1 to 500. What was the number ?
A
169ย ย
B
36
C
196ย
D
Can not say
Question 124Single Answer
If a and b are positive integers, such that ab = 125, then (a-b)a+b-4 = ?
A
16 ย ย
B
25
C
28 ย
D
30
Question 125Single Answer
If x*y = x2 + y2 โ xy, then value of 9*11 is
A
93ย ย ย ย ย
B
103
C
60.5
D
121
Question 126Single Answer
Which is greater ?
A
15/16
B
17/18
C
Equal
D
Cannot compare
Question 127Single Answer
If sum of two numbers is 42 and their product is 437, then find their difference.
A
3ย
B
4
C
5ย ย ย ย
D
7
Question 128Single Answer
Write the 44000 in Roman numerals
A
XLIย
B
XLVI
C
XLIVย
D
XLVIC
Question 129Single Answer
Convert 0.0909โฆ into fraction ?
A
1/11
B
9/11
C
1/9
D
9/10
Question 130Single Answer
What is (98 times 102) ?
A
9996
B
10000
C
10096
D
10196
Question 131Single Answer
Let H be a Hinbert space and Sโข denote the orthogonal complement of a set , Which of the following is incorrect ?
A
Forย
B
C
D
ย is always closed
Question 132Single Answer
Letย and the matrix
Then, the trace of the matrix l + M + M2 is
A
โ 5
B
0
C
3
D
5
Question 133Single Answer
The straight lines L1 : x = 0, L2 : y = 0 and L3 : x + y = 1 are mappped transformation w = z2 into the curves C1, C2 and C3, respectively. The angle of intersection between the curves at w = 0 is
A
Zero
B
C
D
Question 134Single Answer
Let f : C → C be anlaytic except for a simple pole at z = 0 and let g : C → C be analytic. Then, the value ofย is
A
g (0)
B
g' (0)
C
D
Question 135Single Answer
Let I = , where C is the boundary (oriented anti-clockwise) of the region in the first quadrant bounded by v = 0. x2 + y2 = 1 and x = 0, The value of I is
A
- 1
B
C
D
1
Question 136Single Answer
The seriesย is convergent on the interval
A
(0, 1/e)
B
(1/e, e)
C
(0, e)
D
(1, e)
Question 137Single Answer
The function u(r, q) satisfying the Laplace equation
Subject to the conditions u(e, θ) = 1, u(e2, q) = 0 is
A
B
C
D
Question 138Single Answer
If a transformation y = uv transforms the given differential equation f(x)y" โ 4f(x)y' + g(x)y = 0 into the equation of the form v" + h(x)v = 0, then u must be
A
B
nf
C
D
f2
Question 139Single Answer
Let R = Z ร Z ร Z and l = Z ร Z ร .Then, which of the following statement is corrct ?
A
/ is a maximal ideal but not prime ideal of R
B
/ is a prime ideal but not a maximal ideal of R
C
/ is both maximal ideal as well as prime ideal of R
D
/ is neither a maximal ideal nor a prime ideal of R
Question 140Single Answer
The number of irrducible quadratic polynomials over the field of two elements F2 is
A
Zero
B
1
C
2
D
3
Question 141Single Answer
Let H be a complex Hilbert space, be a bounded linear operator and let T* denote the adjoint of T. Which of the following statements are always true ?
P : For all x, yย
Q : For all x, yย
R : For all x, yย
S : For all x,yย
A
P and Q
B
P and R
C
Q and S
D
P and S
Question 142Single Answer
Consider the statements
P : If X is a normed linear space andย is a subspace, then the closure M is also a subspace of X.
Q : If X is a Banach space andย is an absolutely convergent series in X, thenย is convergent.
R : Let M1 and M2 be subspaces of an inner product spaceย that . Then,ย
S : Let f : Xย → Y be a linear transformation from the Banach space X into the Banach space Y. If f is continuous, then the graph of f is always compact.
The correct statements amongst the above are
A
P and R only
B
Q and R only
C
P and Q only
D
R and S only
Question 143Single Answer
Given the data
If the derivative of y(x) is apporximated as , then the value of y'(2) is
A
4
B
8
C
12
D
16
Question 144Single Answer
The approximate eigen value of the matrixย ortained after two iterations of power method, with the initial vector [1, 1, 1]T, is
A
7.768
B
9.468
C
10.548
D
19.468
Question 145Single Answer
A horizontal lever is in static equilibrium under the application of vertical forces F1 at a distance l1 from the fulcrum and F2 at a distance l2 from the fulcrum. The equilibrium for the above quantities can be obtained, if
A
F1 l1 = 2F2 l2
B
2F1 l1 = F2 l2
C
F1 l1 = F2 l2
D
F1 l1 < F2 l2
Question 146Single Answer
Let H, T and V denote the Hamiltonian, the kinetic energy and the potential energy, respectively of a mechanical system at time t. If H contains t explicitly, thenย is equal to
A
B
C
D
Question 147Single Answer
A continuous random variable X has the probability density function
The probability density function of Y = 3X + 2 is
A
B
C
D
Question 148Single Answer
A simple random sample of size 10 from N(ยต, s2) gives 98% confidence interval (20.49, 23.51). Then, the null hypothesis H0:ยต = 20.5, against HA: ยต ≠ 20.5
A
can be rejected at 2% level of significance
B
cannot be rejected at 5% level of significance
C
can be rejected at 10% level of significance
D
cannot be rejected at any level of significance
Question 149Single Answer
For the Linear Programming problem
Maximize z = x1 + 2x2 + 3x3 โ 4x4
Subject to 2x1 + 3x2 โ x3 โ x4 = 15
6x1 + x2 + x3 โ 3x4 = 21
8x1 + 2x2 + x3 โ x4 = 30
x1, x2, x, x4 > 0
x1 = 4, x2 = 3, x3 = 0, x4 = 2 is
A
an optimal solution
B
a degenerate basic feasible solution
C
a non - degenerate basic feasible solution
D
a non - basic feasible solution
Question 150Single Answer
The functional
y(0) = 0, y(1) = 1, y'(0) = 2, y'(1) = 3
is path independent, if k equals