Question for UPPSC LT Grade Assistant Teacher (Mathematics) 2026 - Quiz / Questions / MCQ

Objective Questions

Latest UPPSC LT Grade Assistant Teacher Mathematics Exam Question (Objective Questions), MCQ in English

Subjects : General Studies, Mathematics

Question Bank UPPSC LT Grade Assistant Teacher (Mathematics) Exam - English

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General Studies

Question 1Single Answer

Yojna a weekly journal

A
Ministry of Finance
B
Ministry of Information and Broadcastin
C
Ministry of Rural Development
D
Planning Commission

Question 2Single 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 3Single 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 4Single 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 5Single Answer

In ruby laser, the stimulated emission is due to transition from

A
metastable state to any lower state
B
any higher state of lower state
C
metastable state to ground state
D
any higher state to ground state

Question 6Single Answer

A direct current I flows along the length of an infinitely long straight thin walled pipe, then the magnetic field is

A
uniform throughout the pipe not zero
B
zero only along the axis of the pipe
C
zero at any point inside the pipe
D
maximum at the centre and minimum at the edge

Question 7Single Answer

10^-6 M NaOH is diluted 100 times. The pH of the diluted base is

A
between 7 and 8
B
between 5 and 6
C
between 6 and 7
D
between 10 and 11

Question 8Single Answer

The respiratory quotient during cellular respiration would depend on

A
the nature of enzymes involved
B
the nature of the substrate
C
the amount of carbon dioxide released
D
the amount of oxygen utilised

Question 9Single Answer

Which of the following is not a green - house gas ?

A
Water vapour
B
Carbon monoxide
C
Methane
D
Oxygen

Question 10Single 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 11Single Answer

Which of the following numbers is irrational ?

A
√49
B
0.125
C
√2
D
22/7

Question 12Single Answer

356 x 936 – 356 x 836 = ?

A
35600
B
34500
C
9630
D
93600

Question 13Single 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 14Single Answer

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

A
3⁶
B
3⁸
C
3¹⁰
D
9⁶

Question 15Single Answer

When Uttar Pradesh got it officially as statehood ?

A
24 January, 1950
B
26 January, 1952
C
1 January, 1956
D
18 February, 1957

Question 16Single Answer

How many districts are there in Uttar Pradesh

A
60
B
57
C
75
D
87

Question 17Single Answer

What are the official languages of Uttar Pradesh ?

A
Hindi & Urdu
B
Only Hindi
C
Only Urdu
D
Kumaoni

Question 18Single Answer

How many members of Lok Sabha from Uttar Pradesh ?

A
56
B
78
C
80
D
51

Question 19Single Answer

How many members of Rajya Sabha from Uttar Pradesh ?

A
45
B
51
C
31
D
77

Question 20Single Answer

What is the state flower of Uttar Pradesh ?

A
Lily
B
Rose
C
Palash
D
Sunflower

Question 21Single Answer

What is state sport of Uttar Pradesh ?

A
Field Hockey
B
Cricket
C
Football
D
Swimming

Question 22Single Answer

How many total cities / towns in Uttar Pradesh ?

A
567
B
450
C
689
D
510

Question 23Single Answer

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

A
Malik Muhammad Joyce
B
Raskhan
C
Rich Khusrow
D
Rich Hasan

Question 24Single Answer

When was the Constituent Assembly of India formed?

A
1946
B
1947
C
1948
D
1950

Question 25Single Answer

Which is the longest river in India?

A
Yamuna
B
Ganges
C
Brahmaputra
D
Godavari

Question 26Single 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 27Single Answer

On what date in March 2026 did Prime Minister Narendra Modi become India’s longest-serving head of government?

A
15 March
B
20 March
C
22 March
D
25 March

Question 28Single 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 29Single 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 30Single 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

Mathematics

Question 31Single 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 32Single Answer

A
B
C
D
None of these

Question 33Single 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 34Single 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 35Single 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 36Single Answer

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

A
15
B
14
C
16
D
17

Question 37Single 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 38Single 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 39Single 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 40Single 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 41Single 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 42Single 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 43Single 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 44Single 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 45Single Answer

If A = (–3, 5) and B = [–7, 9], then

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

Question 46Single 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 47Single Answer

Combine terms: 12a + 26b - 4b – 16a .

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

Question 48Single Answer

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

A
25.30
B
25.5
C
25.00
D
12.25

Question 49Single Answer

60 Times of 8 Equals to

A
480
B
300
C
250
D
400

Question 50Single 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

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Mathematics

Question 51Single 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 52Single 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 53Single Answer

Question 54Single 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 55Single Answer

What is the Next Prime Number after 7 ?

A
13
B
12
C
14
D
11

Question 56Single Answer

If A and B are two given sets, then A

B)^C is equal to

Question 57Single Answer

121 Divided by 11 is

A
11
B
10
C
19
D
18

Question 58Single 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 59Single Answer

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

Question 60Single 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 61Single 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 62Single Answer

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

Question 63Single Answer

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

Question 64Single Answer

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

Question 65Single 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 66Single 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 67Single 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 68Single 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 69Single 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 70Single 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 71Single 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 72Single 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 73Single 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 74Single 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 75Single 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 76Single Answer

Question 77Single 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 78Single 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 79Single 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 80Single 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 81Single 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 82Single 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 83Single 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 84Single 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 85Single 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 86Single 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 87Single 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 88Single 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 89Single 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 90Single 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

Question 91Single Answer

A
{ 0, 1, 2, }
B
{ 0, -1 , -2 }
C
{ -2 , -1 ,0 , 1 , 2 , }
D
None of the above

Question 92Single Answer

Let R = {(3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9),
(3, 12), (3, 6)} be a relation on the set A ={3, 6, 9, 12}
The relation is

A
an equivalence reation
B
reflexive symmetric
C
reflexive and trasitive
D
Only reflexive

Question 93Single Answer

A
reflexive and transitive
B
symmetric only
C
reflexive and symmetric
D
equivalence relation

Question 94Single Answer

A
reflexive and transitive
B
an equivalence relation
C
symmetric but neither reflexive nor transitive
D
neither reflexive nor symmetic but transitive

Question 95Single Answer

The relation ' has the same father as ' over the set of children is

A
Only reflexive
B
Only symmetric
C
Only transitive
D
an equivalence relation

Question 96Single Answer

If N be the set of natural numbers and define the relation R on N by R = {(1, 2)(2, 5), (3, 10)(4, 17)(5, 26)}. Then, the set builder form of R is

A
{(x, x²+ 1) | N and x < 6}
B
{(x, x² – 1) | N and x < 6}
C
{(x, 2x + 1) | N and x < 6}
D
None of the above

Question 97Single Answer

Let R be a relation in the set {1, 2, 3, 4} given by

R = {(1, 1), (1, 2), (2, 2), (4, 4), (1, 3), (3, 3), (3, 2)}.

Choose the correct option

A
R is reflexive
B
R is transitive
C
R is symmetric
D
R is reflexive and transitive but not symmetric

Question 98Single Answer

Which of the following functions is inverse of itself?

A
B
C
D
None of the above

Question 99Single Answer

If f(x) = e^x and g(x) = logex, then which of the following is true?

A
f{g(x)} g{f(x)}
B
f{g(x)} = g{f(x)}
C
f{g(x)} + g{f(x)} = 0
D
f{g(x)} – g{f(x)} = 1

Question 100Single Answer

The value of parameter a, for which the function f : R → R given by f(x) = 1 + ax, a

0 is the inverse of itself, is

A
–2
B
–1
C
1
D
2

Question 101Single Answer

Let f: (2, 3) → (0, 1) be defined by f(x) = x – [x]. Then, f–1(x) equals to

A
x – 2
B
x + 1
C
x – 1
D
x + 2

Question 102Single Answer

The greatest integer function f: R → R, given by f(x) = [x] is

A
one-one
B
onto
C
both one-one and onto
D
neither one-one nor onto

Question 103Single Answer

The number of all one-one functions from set

A = {1, 2, 3} to itself is

Question 104Single Answer

Question 105Single Answer

Question 106Single Answer

The number of 3-digit numbers divisible by 6, is ………….. .

A
149
B
166
C
50
D
151

Question 107Single Answer

A
-1
B
-2
C
D
None of these

Question 108Single Answer

Let N be the set of natural numbers and the relation R be defined such that R = {(x, y): y = 2x, x,

N}. Then,

A
R is a function
B
R is not a function
C
domain range and codomain is N
D
None of the above

Question 109Single Answer

If G represents the name of the function in below graph, then G is a/an

A
identity function
B
constant function
C
modulus function
D
None of the above

Question 110Single Answer

Let X = {–1, 0, 1}, Y = {0, 2} and a function f: X → Y defined by y = 2x4, is

A
one-one onto
B
one-one into
C
many-one onto
D
many-one into

Question 111Single Answer

Let f : R→ R be a function defined by

A
one-one onto
B
one-one but not onto
C
onto but not one-one
D
None of the above

Question 112Single Answer

The mapping f: N→ N given by f(n) = 1 n², n € N where, N is the set of natural numbers is

A
one-one and onto
B
onto but not one-one
C
one-one but not onto
D
neither one-one nor onto

Question 113Single Answer

A
B
C
[ 0 , 1 ]
D
None of the above

Question 114Single Answer

A relation R in a set A is called _______, if (a₁, a₂) ∈ R implies (a₂, a₁) ∈ R, for all a₁, a₂ ∈ A .

A
symmetric
B
transitive
C
equivalence
D
non-symmetric

Question 115Single Answer

A
f is one-one onto
B
f is one-one into
C
f is many-one onto
D
f is many-one into

Question 116Single Answer

Domain of f(x) = sin–1[2 – 4x2] ([.] denotes the greatest integer function) is

A
[–1, 1]
B
(–2, 2)
C
D
None of the above

Question 117Single Answer

Question 118Single Answer

If f(x) = [x²] – [x]², where [.] denotes the greatest integer function and x € [0, 2] then the set of values of f(x) is

A
{–1, 0}
B
{–1, 0, 1}
C
{0}
D
{0, 1, 2}

Question 119Single Answer

A
B
C
D
None of these

Question 120Single Answer

If f: A → B and g: B → C be two functions, then the composition of functions f and g is given by

A
gof(x) = g(f(x))
B
gof(x) = g(x)f(x)
C
fog(x) = g(f(x))
D
None of the above

Question 121Single Answer

If the function gof is defined an onto, then

A
neither f nor g is onto
B
f and g both are necessarily onto
C
f must be onto
D
None of the above

Question 122Single Answer

If f(x) = 2x + 7 and g (x) = x2 + 7, x

R, then which value of x will satisfy fog (x) = 25?

A
–1, 1
B
–2, 2
C
D
None of these

Question 123Single Answer

A
3
B
1
C
D
None of these

Question 124Single Answer

Question 125Single Answer

Question 126Single Answer

A
Zero
B
1
C
-1
D

Question 127Single Answer

a + ib > c + id can be explained only when

A
b = 0, c = 0
B
b = 0, d = 0
C
a = 0, c = 0
D
a = 0, d = 0

Question 128Single Answer

If 3x² + 4x + 2 = 0, then equation has

A
real roots
B
imaginary roots
C
one real and one imaginary root
D
distinct real roots

Question 129Single Answer

Question 130Single Answer

Question 131Single Answer

Question 132Single Answer

If square root of –7 + 24i is x + iy, then x is equal to

A
±1
B
±2
C
±3
D
±4

Question 133Single Answer

Question 134Single Answer

Question 135Single Answer

Question 136Single Answer

Question 137Single Answer

A
i
B
C
1
D
Zero

Question 138Single Answer

A
B
1/2
C
n
D
Zero

Question 139Single Answer

A
B
C
-12 - 9i
D
-12 + 9i

Question 140Single Answer

The locus of the poins z which satisfy the condition

A
a straight line
B
a circle
C
a parabola
D
none of these

Question 141Single Answer

A
x = 1
B
x = –1
C
x = ±1
D
No real roots

Question 142Single Answer

If z is a complex number such that Re(z) = Im(z), then

A
Re(z²) = 0
B
Im(z²) =0
C
Re(z²) = Im(z²)
D
Re(z²) = –Im(z²)

Question 143Single Answer

If 2a = –1 – i and 2b = –1 + i then
5a4 + 5b4 + 7a–1b–1 is equal to

A
–1
B
–2
C
Zero
D
2

Question 144Single Answer

The real value of a for which the expression

is purely real is, when n € N

A
B
C
D
None of these

Question 145Single Answer

Question 146Single Answer

A
1
B
–1
C
2
D
–2

Question 147Single Answer

What is the conjugate of

Question 148Single Answer

be the conjugate of the complex number z,then which of the following relations is false?

Question 149Single Answer

If z₁, z₂ and z₃ be the three complex numbers such that |z₁ + 1| < 1, |z₂ + 2| < 2 and |z₃ + 4| < 4, then the maximum value of |z₁| + |z₂| + |z₃| is

A
7
B
10
C
12
D
14

Question 150Single Answer

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