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OAVS TGT Mathematics Exam - English

Duration: 200 · Questions: 200 · Max Marks: 200 · Language: 1

View OAVS TGT Mathematics 2026 Exam Page

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
The Finance Department has ……………a centralized online databank system for all statutory government bodies to …………an eye on their assets and liabilities.
  1. A. presented , stay
  2. B.introduced , keep
  3. C.announce , make
  4. D.created , let
  5. E.proclaimed , hold
12
Assets
  1. A.liabilities
  2. B.responsibilities
  3. C.estates
  4. D.profits
13
Affidavit
  1. A. Affirmation
  2. B.Slander
  3. C.Oath
  4. D.Testimony
14
Hollow
  1. A.Alveolate
  2. B.Cleft
  3. C. Cavernous
  4. D.Solid
15
Cosset 
  1. A.Ignoreb
  2. B.Close
  3. C.Caress
  4. D.Fondle
16
Ogle
  1. A.Leer
  2. B.Gaze
  3. C.Ignore
  4. D.Gawk
17
Intrinsic
  1. A.Elemental
  2. B.Innate
  3. C.Connate
  4. D.Acquired
18
Coalesce
  1. A.Separate
  2. B.Adhere
  3. C.Cleave
  4. D.Amalgamate
19
Loiter
  1. A.lag 
  2. B.Hasten
  3. C.Amble
  4. D.Loii
20
The protests were......... at ......... awareness among the elite and the educated.
  1. A.held, generating
  2. B.aimed, creating
  3. C.targeted, awakening
  4. D.focused, building
  5. E.concentrated, producing

Current Affairs

1
Which if the following is TRUE about the meaning of a bank?
  1. A.It is a financial establishment
  2. B.It acts like a financial intermediary
  3. C.It accepts deposits from the public 
  4. D.It provides safe locker facility
  5. E.All the above
2
Which of the following is NOT true about the functioning of a bank ?
  1. A.A bank should always add the word “bank” to its name.
  2. B.They include general utility services and agency services.
  3. C.A bank is a non-profit organization having service oriented approach.
  4. D.A bank acts as a connecting link between borrowers and lenders of money.
  5. E.A bank lends out money in the form of loans to those who require it for different purposes.
3
Which of the following is NOT a banking service?
  1. A.Issuance of debit and credit cards
  2. B.Providing safe custody of valuable items 
  3. C.ATM services
  4. D.Provision for higher interest rates to the accounts held by women
  5. E.Online transfer of funds across the globe
4
The definition of Banking is given in which of the following ACTs?
  1. A.Negotiable Instrument Act 1881
  2. B.Reserve Bank of India (RBI) Act 1934
  3. C.Banking Regulation Act 1949
  4. D.Company Act 1956
  5. E.None of the above
5
Banks in India are regulated by :
  1. A.The Reserve Bank of India Act,1934
  2. B.The Banking regulation Act,1949
  3. C.The Reserve Bank of India (Amendment and Misc. Provisions) Act, 1953
  4. D.The Banking Companies (Acquisition and Transfer of Undertakings) Act, 1980
  5. E.None of the above
6
Yojna a weekly journal
  1. A.Ministry of Finance        
  2. B.Ministry of Information and Broadcastin
  3. C.Ministry of Rural Development
  4. D.Planning Commission
7
Kurukshetra a journal on rural development is published by
  1. A.Ministry of Finance 
  2. B.Ministry of Information and Broadcastin
  3. C.Ministry of Rural Development
  4. D.Planning Commission
8
Sattriya dance form is famous in which of these states ?
  1. A.Assam
  2. B.Himachal Pradesh
  3. C.Punjab
  4. D.Tamil Nadu
9

"Who said, 'India was a parrot unto itself'?

  1. A.Malik Muhammad Joyce
  2. B.Raskhan
  3. C.Rich Khusrow
  4. D.Rich Hasan
10
Which is the national game of Bhutan ?
  1. A.badminton
  2. B.basketball
  3. C.football
  4. D.archery
11
When was the Constituent Assembly of India formed?
  1. A.1946
  2. B.1947
  3. C.1948
  4. D.1950
12
Who was the Chairman of the Drafting Committee of the Indian Constitution?
  1. A.Dr. Rajendra Prasad
  2. B.Dr. B.R. Ambedkar
  3. C.Jawaharlal Nehru
  4. D.Sardar Vallabhbhai Patel
13
Who is known as the "Father of the Indian Renaissance" ?
  1. A.Raja Ram Mohan Roy
  2. B.Swami Vivekananda
  3. C.Rabindranath Tagore
  4. D.Mahatma Gandhi
14
Which classical dance form is associated with Tamil Nadu ?
  1. A.Kathak
  2. B.Kuchipudi
  3. C.Bharatanatyam
  4. D.Odissi
15
What is the study of ethics primarily concerned with ?
  1. A.Economic behavior
  2. B.Human values and moral principles
  3. C.Physical health
  4. D.Political systems
16
Which of the following is a branch of ethics that deals with the philosophical study of morality ?
  1. A.Metaphysics
  2. B.Aesthetics
  3. C.Normative ethics
  4. D.Epistemology
17
Which is the longest river in India?
  1. A.Yamuna
  2. B.Ganges
  3. C.Brahmaputra
  4. D.Godavari
18
The Western Ghats are also known as:
  1. A.Sahyadris
  2. B.Vindhyas
  3. C.Satpuras
  4. D.Aravallis
19
Who among the following was associated with Enlightenment philosophy?
  1. A.Voltaire
  2. B.Shakespeare
  3. C.Erasmus
  4. D.All of the above
20
When did World War II end?
  1. A.1918
  2. B.1939
  3. C.1946
  4. D.1945
21
The Indian Navy recently received its second indigenous Diving Support Vessel (DSV). What is its name?
  1. A.Nistar
  2. B.Nipun
  3. C.INS Vikrant
  4. D.INS Arihant
22
The Public Examinations (Prevention of Unfair Means) Amendment Bill, 2026, was passed by the Rajya Sabha on which date?
  1. A.27 July 2026
  2. B.29 July 2026
  3. C.31 July 2026
  4. D.30 July 2026
23
Who won the silver medal in the men’s javelin throw at the Commonwealth Games 2026 held in Glasgow?
  1. A.Yash Vir Singh
  2. B.Neeraj Chopra
  3. C.Kishore Jena
  4. D.Rohit Yadav
24
India became which numbered WTO member to accept the Agreement on Fisheries Subsidies (as per recent updates)?
  1. A.120th
  2. B.121st
  3. C.123rd
  4. D.125th
25
Which organisation released the Global Tiger Recovery Report 2026?
  1. A.UNEP
  2. B.WWF
  3. C.Global Tiger Forum
  4. D.IUCN
26
The RBI continues to promote which system specifically for small-value digital transactions?
  1. A.RTGS
  2. B.NEFT
  3. C.UPI Lite
  4. D.IMPS
27
Which ministry implements the PM-KISAN Scheme?
  1. A.Ministry of Finance
  2. B.Ministry of Rural Development
  3. C.Ministry of Agriculture & Farmers’ Welfare
  4. D.Ministry of Food Processing Industries
28
Exercise Tarang Shakti is associated with which arm of the Indian Armed Forces?
  1. A.Indian Army
  2. B.Indian Navy
  3. C.Indian Coast Guard
  4. D.Indian Air Force
29
In the Commonwealth Games 2026 javelin final, the gold medal was won by an athlete from:
  1. A.Sri Lanka
  2. B.Australia
  3. C.India
  4. D.England
30
Which institution publishes the Global Innovation Index?
  1. A.World Bank
  2. B.IMF
  3. C.WIPO
  4. D.WTO

Odia

1
ମୁଁ ବହୁତ ଅସ୍ତିତ୍ବର ପ୍ରମାଣଙ୍କ ଆଚରଣ କରୁଛିନି ।
ଏଠାରେ କଣ ସୁଧାରିବା ପର୍ଯ୍ୟନ୍ତ ଭୁଲ ଆଛି ?
  1. A. ଅସ୍ତିତ୍ବର
  2. B. ଆଚରଣ
  3. C. ପ୍ରମାଣଙ୍କ
  4. D. କରୁଛିନି
2
ମୁଁ ସିନେମା ଦେଖୁଛି । ଯଦି ଆପଣ ସିନେମା ଦେଖୁଛନ୍ତି, ତେଣେ ଦୟାକରି କେବଳ ମୋ ପ୍ରଥମ ଭୁଲଟୁ ସଜା କରନ୍ତୁ।
ଭୁଲଟିକୁ ସୁଧାରିବା ପାଇଁ, କେମିତି ଦେଖନ୍ତୁ ?
  1. A. ସିନେମା
  2. B. ଦେଖୁଛି
  3. C. ପ୍ରଥମ
  4. D. ସଜା
3
ମୁଁ ପୁସ୍ତକ ପଢୁଛି । ପୁସ୍ତକଟିକୁ ସୁଧାରିବା ପାଇଁ, କେମିତି ଲେଖନ୍ତୁ ?
  1. A. ପୁସ୍ତକ
  2. B. ପଢୁଛି
  3. C. ସୁଧାରିବା
  4. D. ଲେଖନ୍ତୁ
4
ମୁଁ ନାଟ୍ୟ ଦେଖୁଛି । ନାଟ୍ୟଟିକୁ ସୁଧାରିବା ପାଇଁ, କେମିତି ପରିପ୍ରେକ୍ଷ୍ୟ କରିବା ?
  1. A. ନାଟ୍ୟ
  2. B. ଦେଖୁଛି
  3. C. ସୁଧାରିବା
  4. D. ପରିପ୍ରେକ୍ଷ୍ୟ
5
ମୁଁ ମନୋରଞ୍ଜନ କରୁଛି । ମନୋରଞ୍ଜନଟିକୁ ସୁଧାରିବା ପାଇଁ, କେମିତି କରିବା ?
  1. A. ମନୋରଞ୍ଜନ
  2. B. କରୁଛି
  3. C. ସୁଧାରିବା
  4. D. କରିବା
6
ତୁମକୁ ପଢାଇବାକୁ ମୁଁ ସିଦ୍ଧ ଆଛି । କେତେ ଭୁଲ ଅଛି ?
  1. A. ତୁମକୁ
  2. B. ପଢାଇବାକୁ
  3. C. ସିଦ୍ଧ
  4. D. ଆଛି
7
ମୁଁ ତାପସ୍ଯ୍ୟାରେ ଗଲାପ କରୁଛି । ତାପସ୍ୟୟାରେ ଯଦି କିଛି ଭୁଲ ଅଛି, ସେ କେମିତି ସୁଧାରିବା ?
  1. A. ତାପସ୍ୟୟାରେ
  2. B. ଗଲାପ
  3. C. ସୁଧାରିବା
  4. D. କେମିତି
8
ମୁଁ ପାଣି ପିଣ୍ଥିଲା । ପାଣିଟିକୁ ସୁଧାରିବା ପାଇଁ, କେମିତି ପିଣ୍ଠିବା ?
  1. A. ପାଣି
  2. B. ପିଣ୍ଠିବା
  3. C. ସୁଧାରିବା
  4. D. କେମିତି
9
ମୁଁ ଅଚ୍ଛା ଖାଇଛି । ଖାଇଟିକୁ ସୁଧାରିବା ପାଇଁ, କେମିତି କେଟେ ଆଳୁ ପଣି ବଢାଇବା ?
  1. A. ଅଚ୍ଛା
  2. B. ଖାଇଛି
  3. C. ସୁଧାରିବା
  4. D. ଆଳୁ ପଣି
10
ମୁଁ ଭ୍ରମଣ କରୁଛି । ଭ୍ରମଣଟିକୁ ସୁଧାରିବା ପାଇଁ, କେମିତି ବ୍ରମଣ କରିବା ?
  1. A. ଭ୍ରମଣ
  2. B. କରୁଛି
  3. C. ସୁଧାରିବା
  4. D. ବ୍ରମଣ
11
ମୁଁ ପ୍ରଥମ ବିଦ୍ୟାଲୟରୁ ଦାଣ୍ଡ ପାଇଁ । ଦାଣ୍ଡଟିକୁ ସୁଧାରିବା ପାଇଁ, କେମିତି ପାଇଁ ?
  1. A. ପ୍ରଥମ
  2. B. ବିଦ୍ୟାଲୟ
  3. C. ଦାଣ୍ଡ
  4. D. ପାଇଁ
12
ମୁଁ ସିନେମା ଦେଖୁଛି । ଯଦି ଆପଣ ସିନେମା ଦେଖୁଛନ୍ତି, ତେଣେ ଦୟାକରି କେବଳ ମୋ ପ୍ରଥମ ଭୁଲଟୁ ସଜା କରନ୍ତୁ।
ଭୁଲଟିକୁ ସୁଧାରିବା ପାଇଁ, କେମିତି ଦେଖନ୍ତୁ ?
  1. A. ସିନେମା
  2. B. ଦେଖୁଛି
  3. C. ପ୍ରଥମ
  4. D. ସଜା
13
ମୁଁ ପୁସ୍ତକ ପଢୁଛି । ପୁସ୍ତକଟିକୁ ସୁଧାରିବା ପାଇଁ, କେମିତି ଲେଖନ୍ତୁ ?
  1. A. ପୁସ୍ତକ
  2. B. ପଢୁଛି
  3. C. ସୁଧାରିବା
  4. D. ଲେଖନ୍ତୁ
14
ମୁଁ ନାଟ୍ୟ ଦେଖୁଛି । ନାଟ୍ୟଟିକୁ ସୁଧାରିବା ପାଇଁ, କେମିତି ପରିପ୍ରେକ୍ଷ୍ୟ କରିବା ?
  1. A. ନାଟ୍ୟ
  2. B. ଦେଖୁଛି
  3. C. ସୁଧାରିବା
  4. D. ପରିପ୍ରେକ୍ଷ୍ୟ
15
ମୁଁ ମନୋରଞ୍ଜନ କରୁଛି । ମନୋରଞ୍ଜନଟିକୁ ସୁଧାରିବା ପାଇଁ, କେମିତି କରିବା ?
  1. A. ମନୋରଞ୍ଜନ
  2. B. କରୁଛି
  3. C. ସୁଧାରିବା
  4. D. କରିବା
16
ମୁଁ ତାପସ୍ଯ୍ୟାରେ ଗଲାପ କରୁଛି । ତାପସ୍ୟୟାରେ ଯଦି କିଛି ଭୁଲ ଅଛି, ସେ କେମିତି ସୁଧାରିବା ?
  1. A. ତାପସ୍ୟୟାରେ
  2. B. ଗଲାପ
  3. C. ସୁଧାରିବା
  4. D. କେମିତି
17
ମୁଁ ପ୍ରଥମ ବିଦ୍ୟାଲୟରୁ ଦାଣ୍ଡ ପାଇଁ । ଦାଣ୍ଡଟିକୁ ସୁଧାରିବା ପାଇଁ, କେମିତି ପାଇଁ ?
  1. A. ପ୍ରଥମ
  2. B. ବିଦ୍ୟାଲୟ
  3. C. ଦାଣ୍ଡ
  4. D. ପାଇଁ
18
ମୁଁ ସିନେମା ଦେଖୁଛି । ଯଦି ଆପଣ ସିନେମା ଦେଖୁଛନ୍ତି, ତେଣେ ଦୟାକରି କେବଳ ମୋ ପ୍ରଥମ ଭୁଲଟୁ ସଜା କରନ୍ତୁ।
ଭୁଲଟିକୁ ସୁଧାରିବା ପାଇଁ, କେମିତି ଦେଖନ୍ତୁ ?
  1. A. ସିନେମା
  2. B. ଦେଖୁଛି
  3. C. ପ୍ରଥମ
  4. D. ସଜା
19
ମୁଁ ପୁସ୍ତକ ପଢୁଛି । ପୁସ୍ତକଟିକୁ ସୁଧାରିବା ପାଇଁ, କେମିତି ଲେଖନ୍ତୁ ?
  1. A. ପୁସ୍ତକ
  2. B. ପଢୁଛି
  3. C. ସୁଧାରିବା
  4. D. ଲେଖନ୍ତୁ
20
ମୁଁ ନାଟ୍ୟ ଦେଖୁଛି । ନାଟ୍ୟଟିକୁ ସୁଧାରିବା ପାଇଁ, କେମିତି ପରିପ୍ରେକ୍ଷ୍ୟ କରିବା ?
  1. A. ନାଟ୍ୟ
  2. B. ଦେଖୁଛି
  3. C. ସୁଧାରିବା
  4. D. ପରିପ୍ରେକ୍ଷ୍ୟ

Reasoning

1
How many such pairs of letters are there in the word ‘CLEANLINESS’ each of the which has as many letters between them in the word as they have in the English alphabet, in the same sequence?
  1. A.Two
  2. B.Three
  3. C.Five
  4. D.Four
  5. E.None of these
2
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
  1. A.True
  2. B.False
  3. C.Uncertain
  4. D.None
3
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 ‘X’ as the answer and if more than one such word can be formed, give ‘Y’ as the answer.
  1. A.A
  2. B.E
  3. C.T
  4. D.X
  5. E.Y
4
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?
  1. A.None            
  2. B.One         
  3. C.Two       
  4. D.Three        
  5. E.More than three
5
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?
  1. A.None
  2. B.One
  3. C.Two
  4. D.Three
  5. E.More than three
6
How many meaningful words can be made from the letters ‘LMEA’ using each letter only once in each word?
  1. A.None
  2. B.One
  3. C.Two
  4. D.Three
  5. E.More than three
7
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 ‘Y’ as the answer and if no such word can be made, give ‘X’ as the answer.
  1. A.T
  2. B.L
  3. C.E
  4. D.Y
  5. E.X
8
If the letters of the word HANDOVER are arranged alphabetically from left to right how many letters will remain at the same position?
  1. A.None
  2. B.One
  3. C.Two
  4. D.Three
  5. E.More than three
9
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?
  1. A.None
  2. B.One
  3. C.Two
  4. D.Three
  5. E.More than three
10
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 ‘A’  and if no such word can be formed your answer is ‘B’.
  1. A.V
  2. B.T
  3. C.E
  4. D.A
  5. E.B
11
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 ?
  1. A.N
  2. B.Q
  3. C.J
  4. D.M
  5. E.None of these
12
How many pairs of letters are there in the word ‘SHIFTED’ each of which has as many letters between its two letters as there are between in the English alphabet?
  1. A.None
  2. B.One
  3. C.Two
  4. D.Three
  5. E.None of these
13
Statement: Is common currency a necessary ingredient for Europe’s 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 .
  1. A.The only argument I is strong
  2. B.Only argument II is strong
  3. C.Either I or II is strong
  4. D.Neither I nor II is strong
14
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 ‘X’  and if more than one such word can be formed your answer is ‘Y’.
  1. A.P
  2. B.L
  3. C.T
  4. D.X
  5. E.Y
15
How many meaningful English words can be formed with the letters RAE using each letter only once in each word?
  1. A.None
  2. B.One
  3. C.Two
  4. D.Three
  5. E.More than three
16
Which letter in this alphabet is the eighth letter to the right of the letter and which is tenth letter to the left of the last but one letter of the alphabet ?
  1. A.X
  2. B.W
  3. C.I
  4. D.H
17
If the third alphabet of each of the words is changed to the next alphabet in the English alphabetical series, which of the following will form a meaningful English word?
  1. A.SUM
  2. B.BIG
  3. C.Both BIG and THE
  4. D.FOR
  5. E.Both FOR and BIG
18
If the given words are arranged in the order as they would appear in a dictionary from left to right, which of the following will be second from the right ?
  1. A.AND
  2. B.FOR
  3. C.THE
  4. D.BIG
  5. E.SUM
19
If second alphabet in each of the words is changed to next alphabet in the English alphabetical order, how many words having two vowels (same or different vowels) will be formed ?
  1. A.None
  2. B.One
  3. C.Two
  4. D.Three
  5. E.Four
20
How many letters are there in the English alphabetical series between the second letter of the word which is second from the right and the second letter of the word which is second from the left of the given words?
  1. A.Two
  2. B.Five
  3. C.Six
  4. D.Nine
  5. E.Three
21
If in each of the given words, each of the consonant is changed to previous letter and each vowel is changed to next letter in the English alphabetical series, in how many words thus formed will no vowels appear?
  1. A.None
  2. B.One
  3. C.Two
  4. D.Three
  5. E.More than three
22
If the third alphabet in each of the words is changed to the next alphabet in the English alphabetical order, how many words having two vowels (same or different vowels) will be formed?
  1. A.None
  2. B.One
  3. C.Two
  4. D.Three
  5. E.Four
23
If the position of the first and the second alphabets of each of the words are interchanged, which of the following will form a meaningful English word?
  1. A.Both CAT and OWN
  2. B.Both BRU and INK
  3. C.Only CAT
  4. D.Only INK
  5. E.Only LEG
24
If the given words are arranged in the order as they would appear in a dictionary from left to right, which of the following will be exactly in the middle of the five words?
  1. A.OWN
  2. B.LEG
  3. C.BRU
  4. D.CAT
  5. E.INK
25
If in each of the given words, each of the consonants is changed to previous letter and each vowel is changed to next letter in the English alphabetical series, in how many words thus formed will the same alphabet appear twice?
  1. A.None
  2. B.One
  3. C.Two
  4. D.Three
  5. E.More than three
26
3, 5, 5, 19, 7, 41, 9, ?
  1. A.71
  2. B.61
  3. C.79
  4. D.69
27
If the positions of the first and the third alphabets of each of the words are interchanged, which of the following would form meaningful words with the new arrangement?
  1. A.HID
  2. B.SON
  3. C.Both LAP and BUT
  4. D.CAR
  5. E.Both CAR and LAP
28
If the given words are arranged in the order as they would appear in a dictionary from left to right, which of the following will be fourth from the left?
  1. A.LAP
  2. B.BUT
  3. C.CAR
  4. D.SON
  5. E.HID
29
If in each of given words, each of the consonants is changed to previous letter and each vowel is changed to next letter in the English alphabetical series, in how many words thus formed will at least one vowel appear?
  1. A.None
  2. B.One
  3. C.Two
  4. D.Three
  5. E.More than three
30
How many letters are there in the English alphabetical series between the third letter of the word which is third from the right and the first letter of the word which is first from the left of the given word?
  1. A.Two
  2. B.Five
  3. C.Six
  4. D.Nine
  5. E.Three

Concerned Subject (Mathematics) & Methodology

1
Which of the following is a natural number?
  1. A.7
  2. B.0.5
  3. C.-3
  4. D.√2
2
Which of the following is an integer but not a natural number?
  1. A.5
  2. B.3/4
  3. C.-4
  4. D.√5
3
Every natural number is necessarily?
  1. A.An integer
  2. B.Irrational
  3. C.A fraction less than 1
  4. D.A non-real number
4
Which number is rational?
  1. A.√2
  2. B.7/9
  3. C.π
  4. D.√7
5
A rational number can always be expressed in the form?
  1. A.p/q, where q = 0
  2. B.p/q, where p and q are integers and q ≠ 0
  3. C.√p only
  4. D.pπ
6
Which decimal represents a rational number?
  1. A.0.123456789101112...
  2. B.0.1010010001...
  3. C.π
  4. D.0.121212...
7
A terminating decimal is always?
  1. A.Irrational
  2. B.Transcendental
  3. C.Imaginary
  4. D.Rational
8
A non-terminating recurring decimal represents?
  1. A.An irrational number
  2. B.A complex non-real number
  3. C.A rational number
  4. D.No real number
9
Which is an irrational number?
  1. A.0.25
  2. B.2/7
  3. C.0.333...
  4. D.√3
10
Which decimal expansion is irrational?
  1. A.0.125
  2. B.0.777...
  3. C.1.252525...
  4. D.0.101001000100001...
11
The decimal expansion of 1/8 is?
  1. A.0.333...
  2. B.0.125
  3. C.0.142857...
  4. D.0.875
12
The decimal expansion of 1/3 is?
  1. A.Terminating
  2. B.Irrational
  3. C.Non-terminating non-recurring
  4. D.Non-terminating recurring
13
Which fraction has a terminating decimal expansion?
  1. A.3/8
  2. B.7/15
  3. C.2/3
  4. D.5/11
14
In lowest terms, a rational number p/q has a terminating decimal expansion when the prime factors of q are only?
  1. A.2 and 5
  2. B.3 and 5
  3. C.2 and 3
  4. D.5 and 7
15
Which fraction has a non-terminating recurring decimal expansion?
  1. A.7/20
  2. B.9/25
  3. C.11/40
  4. D.5/6
16
The number √5 belongs to?
  1. A.Natural numbers only
  2. B.Integers
  3. C.Rational numbers
  4. D.Irrational numbers
17
Which statement about the real number line is correct?
  1. A.Only rational numbers can be represented
  2. B.Only irrational numbers can be represented
  3. C.Some integers cannot be represented
  4. D.Every real number corresponds to a unique point
18
Every point on the real number line represents?
  1. A.A unique real number
  2. B.Two real numbers
  3. C.Only a rational number
  4. D.Only an integer
19
Between any two distinct rational numbers, there are?
  1. A.No rational numbers
  2. B.Exactly two rational numbers
  3. C.Infinitely many rational numbers
  4. D.Finitely many rational numbers
20
Between two distinct real numbers, there are?
  1. A.Only integers
  2. B.No irrational numbers
  3. C.Infinitely many rational numbers
  4. D.Exactly one rational number
21
Which of the following lies between 1 and 2?
  1. A.√10
  2. B.√5
  3. C.√8
  4. D.√2
22
The square of an irrational number?
  1. A.Is always irrational
  2. B.May be rational or irrational
  3. C.Is always rational
  4. D.Is never real
23
The sum of a rational number and an irrational number is?
  1. A.Always rational
  2. B.Always irrational
  3. C.Always an integer
  4. D.Always natural
24
The product of a non-zero rational number and an irrational number is?
  1. A.Rational
  2. B.Integer
  3. C.Irrational
  4. D.Natural
25
The sum of two irrational numbers?
  1. A.Must be irrational
  2. B.Must be rational
  3. C.Cannot be real
  4. D.May be rational or irrational
26
Which expression is rational?
  1. A.√2 + √3
  2. B.√5 × √5
  3. C.√7
  4. D.π + 1
27
Which of the following equals question 0.999...?
  1. A.0.9
  2. B.1
  3. C.0.99
  4. D.10/9
28
The recurring decimal question 0.333... is equal to?
  1. A.1/2
  2. B.1/3
  3. C.2/3
  4. D.3/10
29
The recurring decimal 0.666... equals?
  1. A.2/3
  2. B.1/6
  3. C.3/5
  4. D.6/11
30
The decimal 0.272727... represents?
  1. A.27/100
  2. B.3/11
  3. C.27/90
  4. D.2/7
31
If x = 0.777..., then 10x - x equals?
  1. A.6
  2. B.9
  3. C.8
  4. D.7
32
The rational number corresponding to 0.777... is?
  1. A.7/10
  2. B.77/90
  3. C.9/7
  4. D.7/9
33
Which number has a non-terminating recurring decimal expansion?
  1. A.13/125
  2. B.7/12
  3. C.11/16
  4. D.9/40
34
Which denominator guarantees a terminating decimal when the fraction is in lowest terms?
  1. A.24
  2. B.125
  3. C.30
  4. D.21
35
The decimal expansion of 13/40 terminates after?
  1. A.One decimal place
  2. B.Three decimal places
  3. C.Two decimal places
  4. D.Four decimal places
36
Which of the following is equal to 13/40?
  1. A.0.325
  2. B.0.0325
  3. C.0.35
  4. D.0.425
37
If a rational number in lowest terms has denominator 2³ × 5², its decimal expansion is?
  1. A.Non-terminating recurring
  2. B.Irrational
  3. C.Terminating
  4. D.Non-real
38
Which number cannot be expressed as p/q for integers p and q with q ≠ 0?
  1. A.0.4
  2. B.-7
  3. C.2.75
  4. D.√11
39
The number π is?
  1. A.Rational
  2. B.Integer
  3. C.Irrational
  4. D.Natural
40
√49 is?
  1. A.Irrational
  2. B.Rational
  3. C.Non-real
  4. D.Transcendental
41
√50 can be simplified as?
  1. A.25√2
  2. B.10√5
  3. C.5√2
  4. D.2√5
42
Which is irrational?
  1. A.√81
  2. B.√100
  3. C.√121
  4. D.√18
43
The rationalizing factor of √7 is?
  1. A.√7
  2. B.7
  3. C.1/7
  4. D.2√7
44
The rationalizing factor of 2 + √3 is?
  1. A.2 + √3
  2. B.√3 - 1
  3. C.2 - √3
  4. D.3 - √2
45
The product (2 + √3)(2 - √3) equals?
  1. A.4
  2. B.2
  3. C.3
  4. D.1
46
The rationalized form of 1/√5 is?
  1. A.√5
  2. B.5/√5
  3. C.√5/5
  4. D.1/5
47
The rationalized form of 3/√3 is?
  1. A.3√3
  2. B.√3
  3. C.1/√3
  4. D.3
48
The conjugate of 5 + √2 is?
  1. A.√5 - 2
  2. B.-5 + √2
  3. C.5 - √2
  4. D.2 - √5
49
(√5 + √2)(√5 - √2) equals?
  1. A.7
  2. B.5
  3. C.3
  4. D.√10
50
Which law states a^m × a^n = a^(m+n)?
  1. A.Product law of exponents
  2. B.Quotient law
  3. C.Zero exponent law
  4. D.Negative exponent law
51
For non-zero a, a⁰ equals?
  1. A.0
  2. B.a
  3. C.1
  4. D.-1
52
For non-zero a, a^(-n) equals?
  1. A.-a^n
  2. B.a/n
  3. C.1/a^n
  4. D.n/a
53
(a^m)^n equals?
  1. A.a^(mn)
  2. B.a^(m+n)
  3. C.a^(m-n)
  4. D.a^(m/n)
54
a^m/a^n, for a ≠ 0, equals?
  1. A.a^(m-n)
  2. B.a^(mn)
  3. C.a^(m+n)
  4. D.a^(n-m) always
55
2³ × 2⁴ equals?
  1. A.4¹²
  2. B.4⁷
  3. C.2¹²
  4. D.2⁷
56
5⁶/5² equals?
  1. A.5³
  2. B.5¹²
  3. C.5⁸
  4. D.5⁴
57
(3²)³ equals?
  1. A.3⁶
  2. B.3⁵
  3. C.6³
  4. D.9³⁰
58
4^(1/2) equals?
  1. A.1
  2. B.8
  3. C.4
  4. D.2
59
27^(1/3) equals?
  1. A.6
  2. B.3
  3. C.9
  4. D.27
60
16^(3/4) equals?
  1. A.4
  2. B.6
  3. C.8
  4. D.12
61
For positive a, a^(1/n) represents?
  1. A.a/n
  2. B.a^n
  3. C.n/a
  4. D.The nth root of a
62
For positive a, a^(m/n) equals?
  1. A.n√(a^m)
  2. B.m√(a^n)
  3. C.a^(m-n)
  4. D.a^(mn)
63
8^(2/3) equals?
  1. A.2
  2. B.6
  3. C.4
  4. D.8
64
32^(2/5) equals?
  1. A.2
  2. B.8
  3. C.4
  4. D.16
65
81^(1/4) equals?
  1. A.2
  2. B.3
  3. C.4
  4. D.9
66
Euclid's division lemma states that for positive integers a and b, there exist unique integers q and r such that?
  1. A.a = b + q + r
  2. B.a = br + q, q < r
  3. C.a = bq + r, 0 ≤ r < b
  4. D.a = bqr
67
In Euclid's division lemma, r represents?
  1. A.Remainder
  2. B.Quotient
  3. C.Divisor
  4. D.Dividend
68
If 29 is divided by 5, the quotient and remainder are?
  1. A.5 and 5
  2. B.4 and 5
  3. C.6 and -1
  4. D.5 and 4
69
Euclid's algorithm is primarily used to find?
  1. A.LCM only
  2. B.Square root
  3. C.HCF
  4. D.Cube root
70
The HCF of 24 and 36 is?
  1. A.6
  2. B.8
  3. C.12
  4. D.18
71
Learning by discovery in mathematics primarily encourages learners to?
  1. A.Discover mathematical relationships through exploration
  2. B.Memorize mathematical rules without application
  3. C.Copy solutions from the textbook
  4. D.Depend completely on teacher explanations
72
The central purpose of discovery learning is to develop?
  1. A.Passive listening habits
  2. B.Mechanical calculation only
  3. C.Independent thinking and conceptual understanding
  4. D.Speed in copying notes
73
In guided discovery, the teacher mainly acts as a?
  1. A.Dictator of information
  2. B.Facilitator who provides suitable clues
  3. C.Silent observer in every situation
  4. D.Examiner only
74
Which activity best represents guided discovery in mathematics?
  1. A.Giving students the formula for area directly
  2. B.Asking students to memorize multiplication tables
  3. C.Asking students to measure rectangles and identify the area relationship
  4. D.Dictating definitions from a textbook
75
Discovery learning is particularly useful for developing?
  1. A.Note-taking ability
  2. B.Handwriting speed
  3. C.Mathematical reasoning
  4. D.Repetition habits
76
During guided discovery, mathematical concepts should generally be introduced through?
  1. A.Examination followed by punishment
  2. B.Memorization followed by dictation
  3. C.Exploration followed by generalization
  4. D.Homework followed by copying
77
A teacher gives several examples of triangles and asks students to identify common properties. This illustrates?
  1. A.Drill method
  2. B.Rote learning
  3. C.Lecture method
  4. D.Guided discovery
78
Which classroom environment is most suitable for discovery learning?
  1. A.One where questioning is discouraged
  2. B.One based entirely on memorization
  3. C.One where students freely explore ideas
  4. D.One where only the teacher solves problems
79
A major advantage of discovery learning is that knowledge acquired by learners tends to be?
  1. A.Based only on memorization
  2. B.Completely unrelated to concepts
  3. C.Meaningful and better retained
  4. D.Useful only in examinations
80
Guided discovery differs from pure discovery because guided discovery involves?
  1. A.Complete memorization
  2. B.No student participation
  3. C.Only textbook exercises
  4. D.Structured support from the teacher
81
In discovery learning, errors made by students should generally be viewed as?
  1. A.Grounds for punishment
  2. B.Reasons for stopping exploration
  3. C.Evidence that mathematics cannot be learned
  4. D.Opportunities for further learning
82
Which question best supports mathematical discovery?
  1. A.“Copy this formula five times.”
  2. B.“Write exactly what is on the board.”
  3. C.“Why have you not memorized this?”
  4. D.“What pattern do you notice in these results?”
83
Discovery learning places greater emphasis on?
  1. A.Teacher's speaking time
  2. B.Process of arriving at knowledge
  3. C.Reproduction of textbook sentences
  4. D.Memorizing answers
84
The teacher can initiate guided discovery most effectively by presenting?
  1. A.A meaningful mathematical situation
  2. B.Only the final answer
  3. C.A long list of definitions
  4. D.Unrelated homework
85
Which ability is strongly promoted by discovery-oriented mathematics teaching?
  1. A.Mechanical repetition
  2. B.Copying
  3. C.Dictation
  4. D.Conjecturing
86
Mathematical proof is mainly used to?
  1. A.Increase the length of an answer
  2. B.Establish the validity of a mathematical statement
  3. C.Avoid mathematical reasoning
  4. D.Replace definitions
87
Deductive proof proceeds primarily from?
  1. A.Accepted facts to logically derived conclusions
  2. B.Specific examples to an uncertain guess only
  3. C.Diagrams to memorized definitions
  4. D.Calculations to unrelated observations
88
Mathematical induction is commonly used to prove statements concerning?
  1. A.Positive integers
  2. B.Only geometric figures
  3. C.Random experimental events
  4. D.Classroom behaviour
89
The first major step in proof by mathematical induction is to?
  1. A.Find the arithmetic mean
  2. B.Assume the statement is false for every value
  3. C.Draw a graph
  4. D.Verify the statement for the initial value
90
In the inductive step, after assuming a proposition true for n = k, we attempt to prove it for?
  1. A.n = k/2
  2. B.n = k − 2
  3. C.n = 0 only
  4. D.n = k + 1
91
The assumption that a statement is true for n = k is called the?
  1. A.Experimental result
  2. B.Final theorem
  3. C.Contradiction principle
  4. D.Induction hypothesis
92
Proof by analysis begins by?
  1. A.Collecting unrelated examples
  2. B.Memorizing the final result
  3. C.Rejecting the conclusion
  4. D.Assuming what is required and examining necessary conditions
93
Proof by synthesis generally proceeds?
  1. A.Without logical connections
  2. B.From conclusion toward unrelated statements
  3. C.From known facts toward the desired conclusion
  4. D.Through guessing only
94
Teaching proof effectively should help learners understand?
  1. A.How to memorize symbols
  2. B.Only how long a proof should be
  3. C.Why a mathematical statement is true
  4. D.How to avoid reasoning
95
A proof based solely on checking a few examples is generally?
  1. A.Insufficient for establishing a universal statement
  2. B.Always a deductive proof
  3. C.Equivalent to a formal proof
  4. D.More rigorous than deduction
96
Problem solving occupies an important place in mathematics because it develops?
  1. A.Reasoning and application abilities
  2. B.Only handwriting skills
  3. C.Memorization without understanding
  4. D.Passive learning
97
The first step in solving a mathematical problem is usually to?
  1. A.Write the final answer
  2. B.Understand the problem
  3. C.Apply a random formula
  4. D.Check the solution
98
After understanding a problem, a learner should generally?
  1. A.Immediately copy an answer
  2. B.Devise a suitable plan
  3. C.Ignore the given information
  4. D.Change the question
99
After devising a plan, the next major problem-solving step is to?
  1. A.Carry out the plan
  2. B.Forget the objective
  3. C.Create an unrelated problem
  4. D.Memorize the question
100
The “looking back” stage of problem solving involves?
  1. A.Selecting random operations
  2. B.Reading only the first sentence
  3. C.Checking and reflecting on the solution
  4. D.Avoiding verification