Question for UPPSC GDC Assistant Professor (Mathematics) 2026 - Quiz / Questions / MCQ

Objective Questions

Latest UPPSC GDC Assistant Professor Mathematics Exam Question (Objective Questions), MCQ in English

Subjects : General Studies, Concerned Subject (Mathematics)

Question Bank UPPSC GDC Assistant Professor (Mathematics) Prelims Exam - English

Back to Exam

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

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 6Single 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 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

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 10Single 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 11Single 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.

Question 12Single 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 13Single 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 14Single Answer

How many meaningful words can be made from the letters ‘LMEA’ using each letter only once in each word?

A
None
B
One
C
Two
D
Three
E
More than three

Question 15Single Answer

Consider the following with reference to the East India Association organised in London:
1. It was founded by Dadabhai Naoroji.
2. The organisation aimed to present correct information about India to the British public and voice Indian grievances.
3. The East India Association incorporated the National Indian Association before the Komagata Maru incident.
Select the correct answer using the codes below.

A
1 and 2 only
B
2 and 3 only
C
3 only
D
1 and 3 only

Question 16Single Answer

The Cripps mission was an attempt by the British government to

A
Extend communal representation in the Imperial legislature
B
Convince the Congress to join the Central legislature
C
Secure full Indian cooperation and support for their efforts in World War II
D
Conclude the Round Table Conferences Successfully

Question 17Single 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 18Single Answer

How many districts are there in Uttar Pradesh

A
60
B
57
C
75
D
87

Question 19Single Answer

What are the official languages of Uttar Pradesh ?

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

Question 20Single Answer

How many members of Lok Sabha from Uttar Pradesh ?

A
56
B
78
C
80
D
51

Question 21Single Answer

How many members of Rajya Sabha from Uttar Pradesh ?

A
45
B
51
C
31
D
77

Question 22Single Answer

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

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

Question 23Single Answer

Which is the national game of Bhutan ?

A
badminton
B
basketball
C
football
D
archery

Question 24Single Answer

When was the Constituent Assembly of India formed?

A
1946
B
1947
C
1948
D
1950

Question 25Single Answer

Who is known as the "Father of the Indian Renaissance" ?

A
Raja Ram Mohan Roy
B
Swami Vivekananda
C
Rabindranath Tagore
D
Mahatma Gandhi

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

Concerned Subject (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

Important Questions Package

UPPSC GDC Assistant Professor Mathematics Exam Online Question Bank Package

Buy UPPSC GDC Assistant Professor Mathematics Important Questions, MCQ, question answer in Hindi & English. It will help you to score high marks in UPPSC GDC Assistant Professor Mathematics question bank 2026 in Online, PDF & Print study material.

+ Free Monthly Current Affairs, GK & more PDF Download

Sr.	Package Name	Amount
1.	UPPSC GDC Assistant Professor (Mathematics) Prelims Exam - Hindi Description : 1000 Question with Answer	₹101 ~~[₹500]~~
2.	UPPSC GDC Assistant Professor (Mathematics) Prelims Exam - Hindi Description : 2000 Question with Answer	₹151 ~~[₹500]~~
3.	UPPSC GDC Assistant Professor (Mathematics) Prelims Exam - Hindi Description : 3000 Question with Answer	₹181 ~~[₹500]~~
4.	UPPSC GDC Assistant Professor (Mathematics) Prelims Exam - English Description : 1000 Question with Answer	₹101 ~~[₹500]~~
5.	UPPSC GDC Assistant Professor (Mathematics) Prelims Exam - English Description : 2000 Question with Answer	₹151 ~~[₹500]~~
6.	UPPSC GDC Assistant Professor (Mathematics) Prelims Exam - English Description : 3000 Question with Answer	₹181 ~~[₹500]~~
7.	UPPSC GDC Assistant Professor (Mathematics) Prelims Exam - Hindi Description : 1000 Question & Answer Download in PDF (Send by Email)	₹151 ~~[₹450]~~
8.	UPPSC GDC Assistant Professor (Mathematics) Prelims Exam - English Description : 1000 Question & Answer Download in PDF (Send by Email)	₹151 ~~[₹450]~~
9.	UPPSC GDC Assistant Professor (Mathematics) Prelims Exam Question Bank Book - Hindi Description : 1000 Question with Answer (Printed Material)	₹450 ~~[₹800]~~
10.	UPPSC GDC Assistant Professor (Mathematics) Prelims Exam Question Bank Book - English Description : 1000 Question with Answer (Printed Material)	₹390 ~~[₹600]~~
11.	UPPSC GDC Assistant Professor (Mathematics) Exam - English (Old) Description : 1000 Question with Answer	₹101 ~~[₹500]~~
12.	UPPSC GDC Assistant Professor (Mathematics) Exam Question Bank Book - English (Old) Description : 1000 Question with Answer (Printed Material)	₹390 ~~[₹600]~~

Concerned Subject (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

In a college

part girls and

part boys attended a social camp. How many parts in the collegs students attended the camp ?

A
B
C
D
E
None of the above

Question 82Single Answer

The sum of two number is 16 and their difference is 2. What is the product to both numbers ?

A
35
B
56
C
56
D
72

Question 83Single Answer

What are the positive factors of 160 .

A
6
B
8
C
5
D
12

Question 84Single Answer

What is the value of (51 + 52 + 53 ........100) ?

A
1325
B
5050
C
3775
D
3325

Question 85Single Answer

What is the sum of all natural numbers that come in the between 1 to 100, which a multiple of 7 ?

A
735
B
745
C
675
D
705

Question 86Single Answer

What is the unit digit of 279 + 167 × 342 ?

Question 87Single Answer

Which of the given values is completely divisible by 15 ?

A
2365
B
1375
C
4365
D
2275

Question 88Single Answer

For which value of M, the divisor 34M fully divisible by 12 ?

Question 89Single Answer

If 432p1 is completely divisiable 34M fully divisiable by 12 ?

Question 90Single Answer

Which is the smallest number to be added to 100, so that the resulting number is completely divisible by 6 ?

Question 91Single Answer

When a number is divided by 80, the remainded is 20. When the same number is divided by 16, what will be the remainder ?

Question 92Single Answer

Which of the fractions is the largest among

and

A
B
C
D
All are equal

Question 93Single Answer

What is the two digits largest prime number ?

A
91
B
93
C
97
D
99

Question 94Single Answer

What is the sum of first 15 odd natural numbers ?

A
255
B
225
C
235
D
215

Question 95Single Answer

What will be the sum of all natural numbers from 75 to 97 ?

A
1598
B
1978
C
1798
D
1958

Question 96Single Answer

If the quotient

of is positive, which of the following would be true ?

A
a > 0
B
b > 0
C
ab > 0
D
a + b > 0

Question 97Single Answer

If the last two digits of a three-digit number is multiple of 6, then the original integer will always be divisible by ?

A
6
B
3
C
2
D
12

Question 98Single Answer

Find three consecutive numbers, in which sum of the two times of the first, three of second and four time of the third number os 191 ?

A
19, 20, 21
B
21, 22, 23
C
20, 21, 22
D
22, 23, 24

Question 99Single Answer

An office has 108 table and 132 chairs. If

tables and

of the chairs are broken, then how many people can work in the office, if required 1 table and 1 chair ?

A
86
B
90
C
90
D
99

Question 100Single Answer

If the sum of two numbers is a and the product is b, then what will be the sum of their reciprocal ?

Question 101Single Answer

The sum of all prime numbers not greater than 17 is ?

A
59
B
58
C
41
D
42

Question 102Single Answer

What is the decimal fraction of 2.349 ?

Question 103Single Answer

Which of the following number is divisible by 9 ?

A
45699
B
12381
C
45696
D
12348

Question 104Single Answer

The largest 4 - digit number is X, which is divisible by 18, 15 and 12 . Then the value of X will be ?

A
9989
B
9980
C
9999
D
9900

Question 105Single Answer

The sum of two numbers is 20 and the product is 91 . What should be the sum of their reciprocal ?

Question 106Single Answer

Find the smallest 6 digit number which is multiple of 18 ?

A
100000
B
999900
C
100008
D
100006

Question 107Single Answer

The sum of a fraction and its reciprocal

is the fractions is ?

Question 108Single Answer

The sum of digits of a twodigit number is 9 . By subtracting 27 from number, the digits of the number are interchanged, so what is that number ?

A
72
B
63
C
45
D
None of these

Question 109Single Answer

The product of two positive numbers is 2500. If one of these numbers is four times more than the other, then what will be the sum of these two numbers ?

A
25
B
125
C
225
D
None of these

Question 110Single Answer

A studednt were asked to divide a number by 3, but instead of dividing it, multiplied that number by 3, so that he got 29.7 as the result, what would be the correct result ?

A
3.3
B
3.9
C
9.9
D
None of these

Question 111Single Answer

The sum of two times of a number and three times its reciprocal is

What is that number ?

Question 112Single Answer

A number is greater than three times of its reciprocal by

What is that number ?

A
10
B
11
C
9
D
8

Question 113Single Answer

Which of the following numbers is completely divisible by 99 ?

A
57717
B
57625
C
55162
D
56982

Question 114Single Answer

One dividing a number by 38, we get 90 as the quotient and 19 as the remainder . What is that number ?

A
3401
B
3382
C
3458
D
3439

Question 115Single Answer

If the number 583_437 is completely divisible by 9, what will be the minimum integer in the blank space ?

Question 116Single Answer

How many such numbers are there between 1 and 200, which are divisible by 3 but not by 7 ?

A
38
B
45
C
57
D
66

Question 117Single Answer

When 2143 is divided by 38, what will be the quotient value ?

A
56
B
55
C
57
D
54

Question 118Single Answer

What is the sum of all indivisible numbers between 58 and 68 ?

A
179
B
178
C
187
D
183

Question 119Single Answer

The sum of the bouble of a fraction and its reciprocal is

What is the fraction ?

Question 120Single Answer

What is the value of

Back to Exam

Latest UPPSC GDC Assistant Professor Mathematics Exam Question (Objective Questions), MCQ in English

General Studies

Concerned Subject (Mathematics)

UPPSC GDC Assistant Professor Mathematics Exam Online Question Bank Package

Concerned Subject (Mathematics)

Quick View