Question for MP High School Teacher (Mathematics) 2026 - Quiz / Questions / MCQ

Objective Questions

Latest MP High School Teacher Mathematics Exam Question (Objective Questions), MCQ in English

Subjects : General Hindi, General English, General Knowledge & Reasoning, Numerical Ability, Pedagogy, Mathematics

Question Bank MP High School Teacher Mathematics Exam - English

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General Hindi

Question 1Single Answer

'ऋ' अर् में बदलता है -

A
गुण संधि के अनुसार
B
यण संधि के अनुसार
C
वृद्धि संधि के अनुसार
D
अयादि संधि के अनुसार

Question 2Single Answer

निम्न में कौनसा नासिक्य व्यंजन है -

A
त्
B
न्
C
द्
D
भ्

Question 3Single Answer

निम्न में से उत्क्षिप्त व्यंजन है -

A
ल
B
ष
C
ड़
D
न

Question 4Single Answer

निम्न में से अल्प प्राण नहीं है -

A
ख
B
ग
C
च
D
द

Question 5Single Answer

तालव्य व्यंजन है-

A
ट ड द ढ
B
च छ ज झ
C
त थ द ध
D
प फ ब भ

Question 6Single Answer

'अ' स्वर का उच्चारण स्थान क्या है -

A
मूर्धा
B
कण्ठ
C
तालु
D
ओष्ठ

Question 7Single Answer

निम्लखित मे कंट- तालव्य स्वर कौनसे है ?

A
ए - ऐ
B
ए - ओ
C
ए - ऊ
D
त - द

Question 8Single Answer

जो धातु या शब्द के अंत में जोड़ा जाता है उसे कहते है ?

A
समास
B
अव्यय
C
उपसर्ग
D
प्रत्यय

General English

Question 9Single Answer

Read sentence to find out whether there is any grammatical error in it. The sentences are In three separate parts and each one is labelled (a), (b), (c) and (d). In that case, letter (d) will signify a ‘No error’ response.

A
He was in the temper
B
and refused
C
discuss the matter again
D
No error

Question 10Single Answer

A
A flower makes no garland
B
so we must do a thing together
C
in a unit for a good result
D
No error

Question 11Single Answer

A
My friend is a software engineer
B
and his wife is doctor
C
so they don’t have enough time for each other
D
No error

Question 12Single Answer

A
I don’t have much time that
B
I hear you in detail with verbosity
C
tell everything in nutshell
D
No error

Question 13Single Answer

A
The atmosphere is changing
B
so I have severe pain in my body
C
if you have any painkiller, please give it to me
D
No error

General Knowledge & Reasoning, Numerical Ability

Question 14Single Answer

Passage :

Direction: Study the given information carefully and answer the given question
P, Q, R, S, T, V, X and Y are seated in a straight line facing North. P sits fourth to the left of V. V sits either sixth from the left end of the line or fourth from the right end of the line. S sits second to the right of R. R is not an immediate neighbor of V. T and Q are immediate neighbours of each other but neither T not Q sits at extreme ends of the line. Only one person sits between T and X. X does not sit at the extreme end of the line

According to the passage, what is the main purpose of data protection laws ?

A
To ensure that foreign countries invest in research for drugs to treat diseases like TB
B
To attract Indian scientists back to the country
C
To prevent misuse of research to make profit by competing companies
D
To make clinical trials more acceptable to the public
E
None of these

Question 15Single Answer

‘Gram’ is relatd to ‘Mass’ in the same way as ‘Centimetre’ is related to

A
Area
B
Volume
C
Length
D
Sound
E
Energy

Question 16Single Answer

The height of 5 boys is recorded as 146 cms. 154 cms.164 cms.148 cms.And 158 cms. What is the average height of all these boys?

A
152 cms
B
158 cms
C
156 cms
D
154 cms
E
None of these

Question 17Single Answer

A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream .

A
2 hours
B
3 hours
C
4 hours
D
5 hours

Question 18Single Answer

Which of the following is an important Paleolithic site of Madhya Pradesh?

A
Narmada valley
B
Hathnora
C
Jogdaha
D
All of the above

Question 19Single Answer

Bhimbetka Rock shelters, a UNESCO world Heritage Site is located at which place?

A
Indore
B
Bhopal
C
Raisen
D
Mandla

Question 20Single Answer

Which country holds the BRICS Chairmanship in 2026?

A
Brazil
B
Russia
C
China
D
India

Pedagogy

Question 21Single Answer

Epistemology is the branch of philosophy which deals with the theories of :

A
Realitty
B
Existence
C
Knowledge
D
Values

Question 22Single 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 23Single Answer

"Things as they are and as they are likely to be encountered in life rather than words" was the slogan of the :

A
Pragmatists
B
Realists
C
Idealists
D
Existentialists

Question 24Single Answer

An existentialistic teacher should emphasize on :
I. Freedom
II. Responsibility
III. Subjective feelings
IV. Cooperative living
In the above which combination is correct ?

A
Codes ;
I & II are correct.
B
I & III are correct.
C
I, II & III are correct.
D
II, III & IV are correct.

Question 25Single Answer

Who advocated the creation of a classless society ?

A
Plato
B
Auguste Comte
C
M.K. Gandhi
D
Karl Marx

Question 26Single Answer

The Vedas teach us that :

A
Creation is without beginning
B
Creation is without an end.
C
Creation is without beginning and without an end.
D
Creation has a definite beginning and also an end.

Question 27Single Answer

According to Samkhya philosophy, the sequence of creation is as under :

A
Purusa, Prakrati, Ahankar, Mahat
B
Prakrati, Purusa, Ahankar, Mahat
C
Prakrati, Purusa, Mahat, Ahankar
D
Purusa, Prakrati, Mahat, Ahankar

Question 28Single Answer

Match the following :
List-I List-II
(Buddhist Concept) (Meaning/Example)
(a) Arya Satya 1.Namrupa
(b) Dwadash Nidan 2.Samadhi
(c) Ashtanga Marg 3.Samyaka Vyayam
(d) Niruana 4.Controlling of breath
5.Sorrow in life

A
Code :
(a) (b) (c) (d)
2 4 1 3
B
5 1 3 2
C
5 1 4 2
D
1 5 4 3

Question 29Single Answer

Critically judge the following :
Assertion (A) : All Muslim Women need to go to school.
Reason (R) : Muslim Philosophy lays emphasis on the equality of all-men or women.

A
Codes :
Both (A) and (R) are true.
B
Both (A) and (R) are false.
C
Statement (A) is true but (R) is false.
D
Statement (A) is false but (R) is true.

Question 30Single Answer

In Tagorian Education System the child learns better by :
I. Debates and Discussion
II. Reading, Writing and Speaking
III. Dance, Drama and Music
IV. Travelling and interacting with nature.
In the context of the above, which statements are true ?

A
All I, II, III and IV are true.
B
Statements I, III and IV are true.
C
Statements I, II and III are true.
D
Statements II, III and IV are true.

Mathematics

Question 31Single 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 32Single Answer

Which of the following numbers is irrational ?

A
√49
B
0.125
C
√2
D
22/7

Question 33Single Answer

356 x 936 – 356 x 836 = ?

A
35600
B
34500
C
9630
D
93600

Question 34Single 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 35Single Answer

What is (3^{^}{4} times 9^{^}{2}) ?

A
3⁶
B
3⁸
C
3¹⁰
D
9⁶

Question 36Single Answer

If 3⁴X^-2 = 729, then find the value of X.

Question 37Single Answer

Convert 0.6 into fraction ?

A
3/5
B
2/3
C
4/5

Question 38Single 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
169
B
36
C
196
D
Can not say

Question 39Single Answer

If a and b are positive integers, such that ab = 125, then (a-b)^a+b-4= ?

A
16
B
25
C
28
D
30

Question 40Single Answer

If x^*y = x² + y² – xy, then value of 9^*11 is

A
93
B
103
C
60.5
D
121

Question 41Single Answer

Which is greater ?

A
15/16
B
17/18
C
Equal
D
Cannot compare

Question 42Single Answer

If sum of two numbers is 42 and their product is 437, then find their difference.

Question 43Single Answer

Write the 44000 in Roman numerals

A
XLI
B
XLVI
C
XLIV
D
XLVIC

Question 44Single Answer

Convert 0.0909… into fraction ?

A
1/11
B
9/11
C
1/9
D
9/10

Question 45Single Answer

What is (98 times 102) ?

A
9996
B
10000
C
10096
D
10196

Question 46Single Answer

Which is smaller ?

A
9/11
B
7/9
C
Equal
D
Cannot compare

Question 47Single Answer

Convert 0.5777… into fraction ?

A
26/45
B
52/90
C
13/22
D
5/9

Question 48Single Answer

Convert 0.81 into fraction ?

A
81/100
B
9/10
C
8/9
D
9/11

Question 49Single Answer

(63)² – (12)² =?

A
3528
B
3852
C
3582
D
3825

Question 50Single Answer

Which is greater ?

A
13/17
B
11/14
C
Equal
D
Cannot compare

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Mathematics

Question 51Single Answer

16.928 + 24.7582

5.015 =?

A
20
B
24
C
22
D
26

Question 52Single Answer

Convert 0.75 into fraction ?

A
3/4
B
2/3
C
4/5
D
5/8

Question 53Single Answer

Which is greater ?

A
11/13
B
12/15
C
Equal
D
Cannot compare

Question 54Single Answer

Two numbers are co-prime if their HCF is ?

A
0
B
1
C
Same
D
Prime

Question 55Single Answer

Product of all factors of 10 is ?

A
10
B
100
C
1000
D
10000

Question 56Single Answer

How many real numbers exist between 2 and 3 ?

A
1
B
10
C
Infinite
D
None

Question 57Single Answer

Which number is divisible by 11 ?

A
12345
B
1331
C
1234
D
1213

Question 58Single Answer

What is the unit digit of (7^{245}) ?

Question 59Single Answer

What is (64^{^}{2/3}) ?

A
4
B
8
C
16
D
32

Question 60Single Answer

What is (125^{^}{1/3}) ?

Question 61Single Answer

Which of the following is composite ?

A
17
B
19
C
21
D
23

Question 62Single Answer

What is √0.0009 ?

A
0.003
B
0.03
C
0.3
D
0.09

Question 63Single Answer

What is √1156 ?

A
32
B
34
C
36
D
38

Question 64Single Answer

What is √2025 ?

A
35
B
40
C
45
D
50

Question 65Single Answer

What is (51^{^}2) ?

A
2601
B
2501
C
2551
D
2651

Question 66Single Answer

7 8 18 57 ?

A
244
B
174
C
186
D
none of these

Question 67Single Answer

Last year my age was a perfect square number. Next year it will be a cubic number. What is my Present age ?

A
25 years
B
27 years
C
26 years
D
24 years

Question 68Single Answer

If a + b = 5, a²+ b² = 13, the value of a – b (where a > b) is

A
2
B
-1
C
1
D
-2

Question 69Single Answer

How many factors does 100 have ?

Question 70Single Answer

If x = a – b, y = b – c, z = c – a, then the numerical value of the algebraic expression x³ + y³ + z³ – 3xyz will be

A
a + b + c
B
Zero
C
4 (a + b + c)
D
3 abc

Question 71Single Answer

Which number is divisible by 13 ?

A
819
B
845
C
871
D
899

Question 72Single Answer

A number leaves remainder 3 when divided by 5. What remainder when divided by 10 ?

A
3 or 8
B
3
C
8
D
Cannot determine

Question 73Single Answer

What is the unit digit of (9^{^}{101}) ?

Question 74Single Answer

How many prime numbers are between 10 and 20 ?

Question 75Single Answer

Which of the following pair is co-prime ?

A
8 and 12
B
9 and 15
C
14 and 25
D
21 and 35

Question 76Single Answer

(43)²+ 841 = (?)²+ 1465

A
41
B
35
C
38
D
33

Question 77Single Answer

269 – 122 – 33 = X * 2

A
51
B
41
C
21
D
49

Question 78Single Answer

What is the remainder when 2¹⁰⁰ is divided by 3 ?

Question 79Single Answer

Which of the following is composite ?

A
17
B
19
C
21
D
23

Question 80Single Answer

Product of all factors of 10 is ?

A
10
B
100
C
1000
D
10000

Question 81Single Answer

Sum of factors of 12 is ?

A
16
B
24
C
28
D
32

Question 82Single Answer

Convert 0.81 into fraction ?

A
81/100
B
9/10
C
8/9
D
9/11

Question 83Single Answer

Which of the following numbers is irrational ?

A
√49
B
0.125
C
√2
D
22/7

Question 84Single Answer

The last three-digits of the multiplication 12345 x 54321will be

A
865
B
745
C
845
D
945

Question 85Single Answer

What is the remainder when 17³ is divided by 5 ?

Question 86Single Answer

If a number is divisible by both 8 and 9, then it must be divisible by ?

A
17
B
72
C
81
D
18

Question 87Single Answer

What is the area of a triangle with base 5 meters and height 10 meters ?

A
20 square meters
B
35 square meters
C
25 square meters
D
40 square meters

Question 88Single Answer

How many factors does 36 have ?

Question 89Single Answer

Convert 0.04 into fraction ?

A
1/20
B
1/25
C
1/40
D
1/50

Question 90Single 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 91Single Answer

A
B
C
D
None of these

Question 92Single 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 93Single 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 94Single 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 95Single Answer

The number of non-empty subsets of the set{1, 2, 3, 4} is

A
15
B
14
C
16
D
17

Question 96Single Answer

The number of elements of the power set of a set containing m elements is

A
2^m – 1
B
m
C
m²
D
2^m

Question 97Single 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 98Single 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 99Single 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 100Single 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 101Single 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 102Single 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 103Single 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 104Single Answer

If A = (–3, 5) and B = [–7, 9], then

A
A = B
B
A B
C
B A
D
None of these

Question 105Single 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 106Single Answer

Combine terms: 12a + 26b - 4b – 16a .

A
4a + 22b
B
-28a + 30b
C
-4a + 22b
D
28a + 30b

Question 107Single Answer

The average of first 50 natural numbers is ………… .

A
25.30
B
25.5
C
25.00
D
12.25

Question 108Single Answer

60 Times of 8 Equals to

A
480
B
300
C
250
D
400

Question 109Single 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 110Single 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 111Single 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 112Single Answer

Question 113Single 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 114Single Answer

What is the Next Prime Number after 7 ?

A
13
B
12
C
14
D
11

Question 115Single Answer

If A and B are two given sets, then A

B)^C is equal to

Question 116Single Answer

121 Divided by 11 is

A
11
B
10
C
19
D
18

Question 117Single 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 118Single Answer

A
{3, 4, 10}
B
{2, 8, 10}
C
{4, 5, 6}
D
{3, 5, 14}

Question 119Single 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

Question 120Single 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 121Single Answer

A
A = B
B
B = C
C
A = C
D
None of these

Question 122Single Answer

A
equal
B
disjoint
C
either equal or disjoint
D
none of the above

Question 123Single Answer

A
{–i, i}
B
{–1, 1}
C
{–1, 1, i, –i}
D
None of these

Question 124Single 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 125Single 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 126Single 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 127Single 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 128Single 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 129Single 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 130Single 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 131Single 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 132Single 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 133Single 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 134Single 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 135Single Answer

Question 136Single 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 137Single 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 138Single 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 139Single 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 140Single 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 141Single 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 142Single 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 143Single 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 144Single 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

A
(0, 0), (0, 1), (0, –1), (–1, 1), (–1, 0), (1, 0), (1, –1)
B
(–1, 1), (–1, 0), (0, 0), (0, –1), (0, 1), (1, 0), (1, –1)
C
(0, –1), (1, 0), (1, –1)
D
None of the above

Question 145Single Answer

Let A = {1, 2, 3}. The total number of distinct relations that can be defined over A, is

A
2⁹
B
6
C
8
D
None of these

Question 146Single Answer

Let A = {x, y, z} and B = {1, 2}. Then, the number of relations from A to B is

A
32
B
64
C
128
D
8

Question 147Single Answer

Let A = {x, y, z} and B = {a, b, c, d}. Then, which one of the following is not a relation from A to B?

A
{(x, a), (x, c)}
B
{(y, c), (y, b)}
C
{(z, a), (z, d)}
D
{(z, b), (y, b), (a, d)}

Question 148Single Answer

The relation R defined on the set of natural numbers as {(a, b): a differs from b by 3} is given by

A
{(4, 1), (5, 2), (6, 3),....}
B
{(1, 3), (2, 6), (3, 9),....}
C
{(1, 4), (2, 5), (3, 6),....}
D
None of the above

Question 149Single Answer

If R is a relation on a finite set A having (n – 1) elements, then the number of relations on A is

A
2^n-1
B
C
(n-1)²
D
(n-1)^n-1

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