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.
Question 6Single Answer
Passage :
Direction : Question below has two blanks, each blank indicting that some thing has been omitted. Choose the word for each blank which best fits the meaning of the sentence as a whole.
The Finance Department has ……………a centralized online databank system for all statutory government bodies to …………an eye on their assets and liabilities.
A
presented , stay
B
introduced , keep
C
announce , make
D
created , let
E
proclaimed , hold
Question 7Single Answer
Passage :
Direction : The five items in this section consists of a word or group of words followed by four words as (a), (b), (c) and (d). Select the word which is nearly opposite to the meaning of the original word or group of words and mark your response as (a), (b), (c) and (d), as the case may be, in your Answer Sheet.
Assets
A
liabilities
B
responsibilities
C
estates
D
profits
Question 8Single Answer
Passage :
Direction : In the question, out of the four alternatives, choose the word which is opposite in meaning to the given word and click the button corresponding to it
Affidavit
A
Affirmation
B
Slander
C
Oath
D
Testimony
Question 9Single Answer
Passage :
Direction: In the following question, out of the four alternatives, choose the word which is opposite in meaning to the given word and click the button corresponding to it
Hollow
A
Alveolate
B
Cleft
C
Cavernous
D
Solid
Question 10Single Answer
Passage :
Directions: In the following question, out of the four alternatives, choose the word which is opposite in meaning to the given word and click the button corresponding to it
Cosset
A
Ignoreb
B
Close
C
Caress
D
Fondle
Hindi
Question 11Single Answer
शुद्ध वर्तनी का चयन कीजिए
A
अधम्र
B
अध्रम
C
अधर्म
D
अध्रिम
Question 12Single Answer
शुद्ध वर्तनी का चयन कीजिए
A
स्थायि
B
स्थायी
C
स्थाई
D
स्थाइ
Question 13Single Answer
वर्तनी की दृष्टि से सही शब्द है?
A
महत्व
B
महतव
C
महत्तव
D
महतत्व
Question 14Single Answer
निम्नलिखित में से शुद्ध छांटिए?
A
आयुष्मान
B
आयुश्मान
C
आयुशमान
D
आयुश्यमान
Question 15Single Answer
शुद्ध शब्द नहीं हैं?
A
कवियत्री
B
कौसल्या
C
एश्वर्य
D
श्रृंगार
Question 16Single Answer
Passage :
प्रश्न में दी गई इटैलिक अशुद्ध वर्तनी का शुद्ध रूप चयन कीजिए।
तुम्हारा यह कथन मात्र अतिश्योक्ती है।
A
अंतोश्योक्ती
B
अतीश्योक्टि
C
अतिश्योक्ति
D
अतिशयोक्ति
Question 17Single Answer
Passage :
प्रश्न में एक शब्द दिया गया है जिसका सन्धि-विच्छेद चार प्रकार से किया गया है। इनमें सें केवल एक ही विकल्प सही है। सही सन्धि-विच्छेद का चयन कीजिए -
बहिष्कार
A
बहि: + कार
B
बहिष + कर
C
बहि + अकार
D
बहि़ + सकार
Question 18Single Answer
Passage :
प्रश्न में एक शब्द दिया गया है जिसका सन्धि-विच्छेद चार प्रकार से किया गया है। इनमें सें केवल एक ही विकल्प सही है । सही सन्धि-विच्छेद का चयन कीजिए -
नाविक
A
नौ + इक
B
ना + इक
C
नो + इक
D
ना + विक
Question 19Single Answer
Passage :
प्रश्न में एक शब्द दिया गया है जिसका सन्धि-विच्छेद चार प्रकार से किया गया है। इनमें सें केवल एक ही विकल्प सही है । सही सन्धि-विच्छेद का चयन कीजिए -
दिगम्बर
A
दि + गम्बर
B
दिगम् + बर
C
दिक् + अम्बर
D
दिग + अम्बर
Question 20Single Answer
Passage :
प्रश्न में एक शब्द दिया गया है जिसका सन्धि-विच्छेद चार प्रकार से किया गया है। इनमें सें केवल एक ही विकल्प सही है । सही सन्धि-विच्छेद का चयन कीजिए -
निराशा
A
निरा + आशा
B
निर् + आशा
C
निर: + आशा
D
निर + आशा
General knowledge & Current Affairs
Question 21Single Answer
Yojna a weekly journal
A
Ministry of Finance
B
Ministry of Information and Broadcastin
C
Ministry of Rural Development
D
Planning Commission
Question 22Single Answer
Kurukshetra a journal on rural development is published by
A
Ministry of Finance
B
Ministry of Information and Broadcastin
C
Ministry of Rural Development
D
Planning Commission
Question 23Single 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 24Single Answer
In India rural incomes are generally lower than the urban incomes, which of the following reasons account for this
1. a large number of farmers are illiterate and know little about scientific agriculture
2. prices of primary products are lower than those of manufactured products
3. Investments in agriculture has been low when compared to investment in industry
A
1 and 3
B
2 and 3
C
1 and 2
D
1,2 and 3
Question 25Single Answer
Which of the following programmes aims at the promotion of savings among rural women
A
Rashtriya Mahila Kosh
B
Indira Mahila Yojna
C
Jawahar Rozgar Yojna
D
Mahila Samridhi Yojna
Question 26Single Answer
Which country is the highest contributor of per capita greenhouse gas emissions ?
A
China
B
USA
C
Russia
D
India
Question 27Single Answer
Which institution released the ‘Commodity Markets Outlook report for October 2022’ ?
A
International Monetary Fund
B
World Bank
C
World Economic Forum
D
Reserve Bank of India
Question 28Single Answer
‘Garuda VII’ is a bilateral exercise conducted by the Air Force of India and which country ?
A
Sri Lanka
B
France
C
Japan
D
Australia
Question 29Single Answer
Which city is the host of the ‘India Space Congress, ISC 2022’ ?
A
Bengaluru
B
Mumbai
C
New Delhi
D
Hyderabad
Question 30Single Answer
Which country co-chaired the High-Level Dialogue on Migration and Mobility (HLDMM), with the European Union ?
A
India
B
Australia
C
France
D
China
Reasoning Ability
Question 31Single Answer
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?
A
Two
B
Three
C
Five
D
Four
E
None of these
Question 32Single 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 33Single 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 ‘X’ as the answer and if more than one such word can be formed, give ‘Y’ as the answer.
A
A
B
E
C
T
D
X
E
Y
Question 34Single 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
None
B
One
C
Two
D
Three
E
More than three
Question 35Single 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 36Single Answer
Passage :
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z .
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 ?
A
X
B
W
C
I
D
H
Question 37Single Answer
Passage :
Direction : The following question is based on the five words given below:
AND FOR THE BIG SUM (The new words formed after performing the mentioned operations may or may not necessarily the meaningful English words.)
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?
A
SUM
B
BIG
C
Both BIG and THE
D
FOR
E
Both FOR and BIG
Question 38Single Answer
Passage :
Direction : The following question is based on the five words given below:
AND FOR THE BIG SUM (The new words formed after performing the mentioned operations may or may not necessarily the meaningful English words.)
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 ?
A
AND
B
FOR
C
THE
D
BIG
E
SUM
Question 39Single Answer
Passage :
Direction: The following question is based on the five words given below:
AND FOR THE BIG SUM (The new words formed after performing the mentioned operations may or may not necessarily the meaningful English words.)
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 ?
A
None
B
One
C
Two
D
Three
E
Four
Question 40Single Answer
Passage :
Direction : The following question is based on the five words given below:
AND FOR THE BIG SUM (The new words formed after performing the mentioned operations may or may not necessarily the meaningful English words.)
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?
A
Two
B
Five
C
Six
D
Nine
E
Three
Computer Literacy
Question 41Single Answer
Which Windows interface element typically appears to display information, a warning, an error message, or a request for confirmation?
A
Window
B
Pop-up menu
C
Message box
D
Taskbar
Question 42Single Answer
What is active desktop ?
A
a term that is synonymous with viewing your desktop as web page
B
a feature to customize your desktop to display informating you can update from the internet
C
both a and b above mentioned
D
A software
E
None of these
Question 43Single Answer
What is meant by an active window?
A
A window that is minimized
B
The window currently receiving user input
C
Any window currently open
D
The window opened first
Question 44Single Answer
What was America Online (AOL) primarily known for during the early popularization of consumer Internet access?
A
An online service providing Internet access and proprietary online content
B
A computer operating system
C
A spreadsheet application
D
A database management system
Question 45Single Answer
An application is
A
word processing, accounting and engineering programs are example of application programs
B
computer program designed to enable users to perform specific job functions
C
Both a and b above mentioned
D
a document
E
None of these
Question 46Single Answer
Which of the following programs enables you to calculate numbers related to rows and columns?
A
Window program
B
Spreadsheet program
C
Graphics program
D
Word program
E
None of these
Question 47Single Answer
The term Briefcase is used for
A
a special folder on the windows desktop used to keep documents up to date when shared between computers
B
a window that us currently open
C
A folder which keeps deleted, files for a while and can be retrieved from it
D
All of the above
E
None of these
Question 48Single Answer
In a graphical user interface, what is a button primarily used for?
A
Executing a command or initiating an action
B
Permanently storing data
C
Displaying the computer's IP address
D
Formatting a disk automatically
Question 49Single Answer
A channel (in windows terminology) is
A
a widely used online service that offers access to the internet
B
a specialized web site designed to work with the windows 98 subscribing feature to automatically download information from the internet and store it on your computer for later viewing
C
an area on the computer memory where text or graphics can be temporarily stored
D
All of the above
E
None of these
Question 50Single Answer
What does a checked checkbox generally indicate in a graphical user interface?
A
The associated option is enabled or selected
B
The application has closed
C
The file has been deleted
D
The computer is offline
Important Questions Package
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Pedagogy
Question 51Single Answer
The idea that reacher should teach and even use only those words and sentences which can be empirically verified to be true or false is mooted by which of the following philosophy?
A
Logical analysis
B
Logical empiricism
C
Logical positivism
D
Positive relativism
Question 52Single Answer
Which one of the following thinkers is not related to the movement of logical analysis, logical positivism and logical empiricism ?
A
Henry Bergson
B
Bertrand Russel
C
A. J. Ayer
D
L. Wittgenstein
Question 53Single Answer
Monitorial system of class administration was practised by :
A
Buddhist Education
B
Vedantic Education
C
Islamic Education
D
Vedic Education
Question 54Single Answer
A teacher applies his/her understanding of philosophy to slove the problem of truancy among students. This may be called his/her :
A
Philosophy of Education
B
Philosophy in Education
C
Philosophy for Education
D
Philosophy and Education
Question 55Single Answer
Of Froebel's idealism it can be said that :
A
education is not a process of unflodment
B
learning unites knowledge, feelings and doing
C
education cannot be a process of self realination
D
the notion of self activity is limited to manual activity is limited to manual activity
Question 56Single Answer
Critically examine the following Assertion (A) and Reason (R) and give your answer from the codes given below : Assertion (A) : There is almost a consensus that drop out rate of the government primary schools is much higher in comparison to that of public schools. Reason (R) : It is so because the government primary schools do not offer enough cocurricular activities.
A
Codes :
Both (A) and (R) are true.
B
(A) is true but (R) is false.
C
(A) is false but (R) is true.
D
Both (A) and (R) are false.
Question 57Single Answer
Which of the following is not the purpose of educational philosophy ?
A
To professionalize the job of teaching
B
To increase the teachers love of and control over the students
C
To critically examine assumptions behind educational practice
D
To clarify values and aims in teaching.
Question 58Single Answer
The phrase "equal educational opportunities" in India means :
A
equal opportunities for all children to have access to higher education.
B
equalities of educational opportunities for each child.
C
equality of the type of education available for each child.
D
equal opportunities to have the type of education for which one is suited.
Question 59Single Answer
A common feature of Hinduism, Buddism and Jainism is belief about :
A
the unreality of the world
B
the existence of God
C
the soul
D
karma and rebirth
Question 60Single Answer
'Epistemology' means :
A
stem cell research
B
study of the nature of knowledge
C
study of the nature of values
D
study of the nature of the world
Question 61Single Answer
'Internal criticism' is a required step in :
A
Experimental Research
B
Historical Research
C
Descriptive Research
D
Philosophical Research
Question 62Single Answer
Which sampling technique will be most appropriate to draw a representative sample of heterogeneous population ?
A
Stratified Random
B
Quota
C
Purposive
D
Incidental
Question 63Single Answer
Epistemology is the branch of philosophy which deals with the theories of :
A
Realitty
B
Existence
C
Knowledge
D
Values
Question 64Single Answer
Given below are two statements, one labelled as Assertion (A) and the other labeled as Reason (R). Assertion (A) : Philosophy helps in determining aims of education Reason (R) : Education depends mostly on Philosophy.
In the context of the two statements, which one of the following is correct ?
A
Codes :
Both (A) and (R) are true.
B
Both (A) and (R) are false.
C
(A) is true but (R) is false.
D
(A) is false but (R) is true.
Question 65Single Answer
Match the following : List-I List-II (Characteristic) (Philosophy)
I. Learning by doing 1. Naturalism
II. Eduction through Environment 2. Idealism
III. Realizatiion of truth, beauty and 3. Pragmatism
goodness
IV. "World as it is here and now" 4. Realism
5. Existentialism
A
Code :
I II III IV
3 1 2 4
B
1 4 2 3
C
1 3 2 4
D
3 2 4 5
Question 66Single Answer
"No disinterested pursuit of knowledge and no intellectual education for its own sake" was the slogan of the
A
Realists
B
Idealists
C
Pragmatists
D
Naturalists
Question 67Single Answer
Which of the following schools of philosophy integrates students' capacities, interests, habits with social participation ?
A
Pragmatism
B
Realism
C
Naturalism
D
Idealism
Question 68Single Answer
Which of the following is the common belief held by Tagore, Gandhi and Aurobindo ?
A
Self-reliance
B
International harmony
C
Socialisation of children
D
National character
Question 69Single Answer
Fine arts and aesthetics are given top priority in the curriculum by :
A
Naturalism
B
Existentialism
C
Idealism
D
Pragmatism
Question 70Single Answer
Identify the functions of educational philosophy :
(i) To integrate divinity into education of man.
(ii) To provide theoretical bases for teacher's behaviour.
(iii) To generate the principles of curriculum framework.
(iv) To answer all ultimate 'why' questions regarding educational practices.
A
ii and iii
B
i and iv
C
i, ii, and iv
D
ii, iii and iv
Mathematics
Question 71Single Answer
The elements of the set {x : x is an integer, x2 : 4} can be represent as .....Z..... . Here, Z refers to
A
{–2, 2}
B
{–1, 0, 1}
C
{–2, –1, 0, 1, 2}
D
{0, 1, 2}
Question 72Single Answer
A
B
C
D
None of these
Question 73Single Answer
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
A
{2}
B
{1, 2}
C
{1, 2, 22, ....., 2p – 1}
D
{1, 2, 22, 23,.... 2p – 1, (2p – 1)}
Question 74Single Answer
The set {x : x is a positive integer less than 6 and 3x – 1 is an even number} in roster form is
A
{1, 2, 3, 4, 5}
B
{1, 2, 3, 4, 5, 6}
C
{2, 4, 6}
D
{1, 3, 5}
Question 75Single Answer
If A B and A B, then
A
A is called a proper subset of B
B
A is called a super set of B
C
A is not a subset of B
D
B is a subset of A
Question 76Single Answer
The number of non-empty subsets of the set{1, 2, 3, 4} is
A
15
B
14
C
16
D
17
Question 77Single Answer
The number of elements of the power set of a set containing m elements is
A
2m – 1
B
m
C
m2
D
2m
Question 78Single Answer
If A = {x : x = n2, n = 1, 2, 3}, then number of proper subsets is
A
3
B
8
C
7
D
None of these
Question 79Single Answer
If A = {x : x = 4n + 1, 2 £ n £ 5},then number of subsets of A is
A
16
B
15
C
4
D
None of these
Question 80Single Answer
Let A and B be two non-empty subsets of a set X such that A is not a subset of B, then
A
A is always a subset of the complement of B
B
B is always a subset of A
C
A and B are always disjoint
D
A and the complement of B are always non-disjoint
Question 81Single Answer
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}
A
A
B
B
C
Both A and B
D
None of the above
Question 82Single Answer
The set {x : x4 = 1 and x R} is .....X.... set. Here, X refers to
A
empty
B
finite
C
infinite
D
singleton
Question 83Single Answer
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
A
{1, 2}
B
{1, 3}
C
{1, 2, 3}
D
{0, 1, 2, 3}
Question 84Single Answer
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
A
A and B
B
A and C
C
A, B and C
D
A, C and D
Question 85Single Answer
If A = (–3, 5) and B = [–7, 9], then
A
A = B
B
A B
C
B A
D
None of these
Question 86Single Answer
Two finite sets have m and n elements, respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The value of m and n respectively are
A
7, 6
B
5, 1
C
6, 3
D
8, 7
Question 87Single Answer
Combine terms: 12a + 26b - 4b – 16a .
A
4a + 22b
B
-28a + 30b
C
-4a + 22b
D
28a + 30b
Question 88Single Answer
The average of first 50 natural numbers is ………… .
A
25.30
B
25.5
C
25.00
D
12.25
Question 89Single Answer
60 Times of 8 Equals to
A
480
B
300
C
250
D
400
Question 90Single Answer
Consider the sets
A = {x : x is a real number and x2 + 1 = 0}
B = {x : x is a real number and x2 – 16 = 0}
C = {x : x is a real number and x2 = x + 2}
Which of the following is are null set ?
A
A
B
A and B
C
A and C
D
A, B and C
Question 91Single Answer
If X = {4n – 3n – 1: n Î N} and Y = {9(n – 1): n Î N}; where N is the set of natural numbers, then X È Y is equal to
A
N
B
Y – X
C
X
D
Y
Question 92Single Answer
Which of the following is / are correct?
I. {2, 3, 4} {1, 2, 3, 4, 5}
II. {a, b, c} {b, c, d}
III. {x : x is an equilateral triangle in a plane} Ì {x : x is a triangle in the same plane}
IV. {x : x is an even natural number} {x : x is an integer}
A
I and III are correct
B
II and III are correct
C
Only IV is correct
D
All above are correct
Question 93Single Answer
A
B
C
D
Question 94Single Answer
Consider the following statements :
1. The set of all irrational numbers between √2 and √5 is an infinite set .
2. The set of all odd integers less than 100 is a finite set .
Which of the statements given above is/are correct ?
A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
Question 95Single Answer
What is the Next Prime Number after 7 ?
A
13
B
12
C
14
D
11
Question 96Single Answer
If A and B are two given sets, then A (A B)C is equal to
A
A
B
B
C
D
Question 97Single Answer
121 Divided by 11 is
A
11
B
10
C
19
D
18
Question 98Single Answer
Let X be the universal set for sets A and B, if n(A) = 200, n(B) = 300 and n = 100, then n is equal to 300 provided n(X) is equal to
A
600
B
700
C
800
D
900
Question 99Single Answer
A
{3, 4, 10}
B
{2, 8, 10}
C
{4, 5, 6}
D
{3, 5, 14}
Question 100Single Answer
Let A = {x : x is a prime factor of 240} B = {x : x is the sum of any two prime factors of 240}, then
A
B
C
D
Question 101Single Answer
If A = {x : x is a multiple of 4 and x N} and B = {x : x is a multiple of 6 and x N}, then A B consists of all multiples of
A
16
B
12
C
8
D
4
Question 102Single Answer
A
A = B
B
B = C
C
A = C
D
None of these
Question 103Single Answer
A
equal
B
disjoint
C
either equal or disjoint
D
none of the above
Question 104Single Answer
A
{–i, i}
B
{–1, 1}
C
{–1, 1, i, –i}
D
None of these
Question 105Single Answer
If A = {x : f(x)= 0} and
B = {x : g(x) = 0}, then A B will be
A
[f(x)]2 + [g(x)]2 = 0
B
C
D
None of the above
Question 106Single Answer
In a group of 400 people, 250 can speak Hindi and 200 can speak English. Then, people who can speak both Hindi and English are
A
60
B
80
C
50
D
45
Question 107Single Answer
20 teachers of a school either teach Mathematics or Physics. 12 of them teach Mathematics while 4 teach both the subjects. The number of teacher teaching Physics only, is
A
12
B
8
C
16
D
20
Question 108Single Answer
In a class of 100 students, 70 have taken Science, 60 have taken Mathematics, 40 have taken both Science and Mathematics. The number of students who have not taken Science or Mathematics or both Science and Mathematics, is equal to
A
90
B
10
C
30
D
20
Question 109Single Answer
A market research group conducted a survey of 1000 consumers and reported that 720 consumers like product A and 450 consumers like the product B, then least number that must have like both products, is
A
730
B
170
C
180
D
1270
Question 110Single Answer
If there are three athletic teams in a school, 21 are in the basketball team, 26 in hockey team and 29 in the football team. 14 play hockey and basketball, 15 play hockey and football, 12 play football and basketball and 8 play all the games. The total number of members is
A
42
B
43
C
45
D
None of these
Question 111Single Answer
A college awarded 38 medals in football, 15 in basketball and 20 in cricket. If these medals went to a total of 58 men and only three men got medals in all the three sports, then number of men who received meal in exactly two of the three sports is
A
18
B
15
C
9
D
24
Question 112Single Answer
In the class of 175 students, the following data shows the number of students opting one or more subjects. Mathematics 100; Physics 70; Chemistry 40; Mathematics and Physics 30; Mathematics and Chemistry 28; Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. Then, number of students opted Mathematics alone is
A
35
B
48
C
60
D
20
Question 113Single Answer
In a town of 10000 families it was found that 40% family buy newspaper A, 20% family buy newspaper B and 10% family buy newspaper C, 5% families buy and B, 3% families buy B and C and 4% families buy A and C. If 2% families buy all the three newspapers. Then, number of families which by A only is
A
3100
B
3300
C
2900
D
1400
Question 114Single Answer
In a city, 20% of the population travles by car, 50% travles by bus and 10% travles by both car and bus. Then, person travelling by car or bus, is
A
80%
B
40%
C
60%
D
70%
Question 115Single Answer
Universal set,
U = {x | x5 – 6x4 + 11x3 – 6 x 2 = 0}
A = {x | x2 – 5x + 6 = 0}
B = {x | x2 – 3x + 2 = 0}
What is the value of (A B)?
A
{1, 3}
B
{1, 2, 3}
C
{0, 1, 3}
D
{0, 1, 2, 3}
Question 116Single Answer
A
B
C
D
Question 117Single Answer
If P(A) denotes the power set of A and A is the void set, then what is the number of elements in P{P{P{P(A)}}}?
A
Zero
B
1
C
4
D
16
Question 118Single Answer
If A = {1, 2, 3, 4, 5}, b = {x : x2 – 5x + 6 = 0} and C = {x : x2 = 4 or x = 1}, then
A
B
C
Both (a) and (b)
D
None of the above
Question 119Single Answer
In a group of 50 people, 35 speak Hindi, 25 speak both English and Hindi and all the people speak atleast one of two languages. The number of people who speak 'English', 'English but not Hindi' are respectively
A
40, 15
B
15, 40
C
35, 15
D
25, 15
Question 120Single Answer
If P = {1, 2}, then P × P × P = {(1, 1, 1), (1, 1, 2), (1, 2, 1), (2, 1, 2), (2, 2, 1), (2, 2, 2)}. The ordered triplet missing in P × P × P are
A
(1, 2), (2, 1)
B
(1, 2, 1), (2, 1, 1)
C
(1, 2, 2), (2, 1, 2)
D
(1, 2, 2), (2, 1, 1)
Question 121Single Answer
If A = {1, 2, 3, 4} and B = {5, 7, 9} then
A
A × B = B × A
B
n(A × B) =n(B × A)
C
Both (a) and (b)
D
None of the above
Question 122Single Answer
Let A and B are two sets having 3 elements in common. If n(A) = 5 and n(B) = 4, then n[(A × B) (B × A)] is equal to
A
20
B
25
C
16
D
9
Question 123Single Answer
If n(A) = 3, n(B) = 4 then, n(A × A × B) is equal to
A
36
B
12
C
108
D
None of these
Question 124Single Answer
If A = {1, 2, 3}, B = {3, 8}, then (A B) × (A B) is equal to
A
{(8, 3), (8, 2), (8, 1), (8, 8)}
B
{(1, 2), (2, 2), (3, 3), (8, 8)}
C
{(3, 1), (3, 2), (3, 3), (3, 8)}
D
{(1, 3), (2, 3), (3, 3), (8, 3)}
Question 125Single Answer
The Cartesian product A × A has 9 elements among which are found (–1, 0) and (0, 1). Then, the remaining elements of A × A are