Latest DSSSB PGT Mathematics Exam Question (Objective Questions), MCQ in English
Subjects : English Language & Comprehension, General Awareness, Hindi Language & Comprehension, General Intelligence & Reasoning, Arithmetic & Numerical Ability, Mathematics
Question Bank DSSSB PGT Mathematics Exam - English
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
The online shopping site lowered the prices.
A
Lowering of the prices was done by the online shopping site
B
The prices were lowered by the online shopping site
C
The prices had been lowered by the online shopping site
D
The prices have been lowered by the online shopping site
Question 7Single Answer
Who taught you to drive a truck ?
A
To drive a truck by whom were you taught?
B
Driving a truck by who were you taught?
C
Driving a truck by who were you being taught?
D
By whom were you taught to drive a truck?
Question 8Single Answer
We shall invite Suresh.
A
Suresh would be invited by us
B
Suresh would have been invited by us
C
Suresh will be invited by us
D
Suresh will have been invited by us
Question 9Single Answer
Dark clouds have overcast the evening sky.
A
By the dark clouds the evening sky was overcast.
B
The evening sky has been overcast by the dark clouds.
C
Dark clouds overcastted the evening sky.
D
The sky of the evening was overcasted by dark clouds.
Question 10Single Answer
The partners will celebrate their triumph tomorrow.
A
The triumph would be celebrated by the partners a day before
B
The triumph would be celebrated by the partners a day after
C
The triumph would have been celebrated by the partners a day after
D
The triumph will have been celebrated by the partners tomorrow
Question 11Single Answer
Why did break the vase?
A
why is the vase broken by him
B
why was the vase broken by him
C
why had been the vase broken by him
D
why has been the vase broken by him
Question 12Single Answer
Mariam was writing a note to her boss.
A
A note was written to her boss by Mariam
B
A note was wrote by Mariam to her boss
C
A note was being written by Mariam to her boss
D
A note was written by Mariam to her boss
Question 13Single Answer
The baby really enjoys that music.
A
That music was really enjoyed by the baby.
B
That music was really being enjoyed by the baby.
C
That music is really enjoyed by the baby.
D
This music was really enjoyed by the baby.
Question 14Single Answer
The weather disrupted the final match.
A
The final match has been disrupted by the weather.
B
The final match had been disrupted by the weather.
C
The final match was disrupted by the weather.
D
The final match was being disrupted by the weather.
Question 15Single Answer
The management committee is required to publish a report every year.
A
report would be published by the management committee every year.
B
A report would have been published by the management committee every year.
C
A report requires to be published by the management committee every year.
D
Every year the report would be published by the management committee.
Question 16Single Answer
Preeti ran the race in record time.
A
In record time Preeti ran the race.
B
The race was run by Preeti in record time
C
The race was being run by Preeti in record time
D
The race had been run by Preeti in record time
Question 17Single Answer
I shall have written the full thesis by December
A
By December I shall have wrote the full thesis.
B
The full thesis will have been written by me by December.
C
The full Thesis will be wrote by me by December
D
By December the full thesis must have been wrote by me.
Question 18Single Answer
One must keep one’s promises.
A
One’s promises must be kept by one.
B
One’s promises had to be kept.
C
Promises must be kept.
D
Promises have to be kept by one.
Question 19Single Answer
I read the story in one night.
A
The story had been read by me in one night.
B
The story has been read by me in one night
C
n one night the story has been read by me.
D
the story was read by me in one night
Question 20Single Answer
We must take care of the old.
A
Those who are old need to be taken care of by us.
B
The old must be taken care of by us.
C
Those who are old need care by us
D
The old should be taken care of by us.
General Awareness
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
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 26Single 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 27Single 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 28Single Answer
Which Delhi Sultan captured Qutub Minar while it was under construction?
A
Iltutmish
B
Alauddin Khalji
C
Qutub-ud-din Aibak
D
Muhammad Tughlaq
Question 29Single Answer
Where did the First Battle of Panipat take place?
A
Panipat
B
Delhi
C
Kurukshetra
D
Agra
Question 30Single Answer
Who built the Jama Masjid of Delhi?
A
Shah Jahan
B
Jahangir
C
Akbar
D
Aurangzeb
Question 31Single Answer
The iconic Humayun's Tomb was built by:
A
Babur
B
Humayun
C
Hamida Banu Begum
D
Akbar
Question 32Single Answer
The Iron Pillar near Qutub Minar was originally from:
A
Kanauj
B
Mathura
C
Ujjain
D
Pataliputra
Question 33Single Answer
"Who said, 'India was a parrot unto itself'?
A
Malik Muhammad Joyce
B
Raskhan
C
Rich Khusrow
D
Rich Hasan
Question 34Single Answer
Which is the national game of Bhutan ?
A
badminton
B
basketball
C
football
D
archery
Question 35Single Answer
When was the Constituent Assembly of India formed?
A
1946
B
1947
C
1948
D
1950
Question 36Single Answer
Which state is hosting the National SARAS Mela 2025?
A
Karnataka
B
Maharashtra
C
Kerala
D
Gujarat
Question 37Single Answer
Which ministry released the ‘UDISE Plus’ Report in 2025?
A
Ministry of Finance
B
Ministry of Education
C
Ministry of Culture
D
Ministry of Urban Development
Question 38Single Answer
Which city reported a surge in Guillain-Barré Syndrome (GBS) cases in August 2025?
A
Jerusalem
B
Gaza
C
Tehran
D
Damascus
Question 39Single Answer
Where was the maiden Exercise Aarogya Setu organized by the Indian Army?
A
Sikkim
B
Assam
C
Tripura
D
Odisha
Question 40Single Answer
Which ministry launched the Udyam Sakhi Portal?
A
Ministry of Science and Technology
B
Ministry of Finance
C
Ministry of Micro, Small and Medium Enterprises
D
Ministry of Commerce
Hindi Language & Comprehension
Question 41Single 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 42Single Answer
निम्न में कौनसा नासिक्य व्यंजन है -
A
त्
B
न्
C
द्
D
भ्
Question 43Single Answer
निम्न में से उत्क्षिप्त व्यंजन है -
A
ल
B
ष
C
ड़
D
न
Question 44Single Answer
निम्न में से अल्प प्राण नहीं है -
A
ख
B
ग
C
च
D
द
Question 45Single 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 46Single Answer
'अ' स्वर का उच्चारण स्थान क्या है -
A
मूर्धा
B
कण्ठ
C
तालु
D
ओष्ठ
Question 47Single Answer
निम्लखित मे कंट- तालव्य स्वर कौनसे है ?
A
ए - ऐ
B
ए - ओ
C
ए - ऊ
D
त - द
Question 48Single Answer
जो धातु या शब्द के अंत में जोड़ा जाता है उसे कहते है ?
A
समास
B
अव्यय
C
उपसर्ग
D
प्रत्यय
Question 49Single Answer
प्रख्यात में प्रयुक्त उपसर्ग है -
A
प्र
B
त
C
प्रख
D
आत
Question 50Single Answer
'साखी' शब्द का तत्सम रूप है -
A
सखी
B
शाखा
C
राखी
D
साक्षी
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Hindi Language & Comprehension
Question 51Single Answer
किस क्रम में वृत्तमुखी स्वर नहीं है -
A
आ
B
ऊँ
C
ओ
D
औ
Question 52Single Answer
उपसर्ग का प्रयोग होता है -
A
शब्द के आदि में
B
शब्द के मध्य में
C
शब्द के अंत में
D
इनमे से कोई नहीं
Question 53Single Answer
'पंडित दूध पीता है' इस वाक्य में कारक है -
A
कर्म, करण
B
सम्प्रदान, सम्बन्ध
C
कर्ता, कर्म
D
इनमें से कोई नहीं
Question 54Single Answer
'ने' किस कारक का चिह्न है -
A
कर्ता
B
करण
C
सम्प्रदान
D
कर्म
Question 55Single Answer
'वह जहाँ चाहे, जाये; मुझे क्या लेना-देना।' यह कैसा वाक्य है -
A
संयुक्त वाक्य
B
सरल वाक्य
C
मिश्रित वाक्य
D
संयुक्त-मिश्रित वाक्य
Question 56Single Answer
व्याकरण के नियमानुसार किस वाक्य में पदक्रम सही है -
A
रावण को राम ने मारा।
B
राम ने रावण को मारा।
C
मारा राम ने रावण को।
D
संयुक्त-मिश्रित वाक्य।
Question 57Single Answer
'अधिकरण' कारक का चिह्न है -
A
अरे
B
में
C
से
D
को
Question 58Single Answer
स्वर होते हैं -
A
घोष
B
अघोष
C
अल्पप्राण
D
महाप्राण
Question 59Single Answer
निम्नलिखित में से वर्त्स्य है -
A
ल्
B
ड
C
ढ़
D
स्
Question 60Single Answer
'दित्व' का प्रयोग किस शब्द में नहीं हुआ है ?
A
सच्चा
B
कुत्ता
C
बल्गा
D
बग्गा
General Intelligence & Reasoning
Question 61Single 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 62Single 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 63Single 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 64Single 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 65Single 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 66Single 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 67Single Answer
If it is possible to make only one meaningful word with the first, the second, the seventh and the eighth letters of the word TEMPORAL, which of the following will be the first letter of that word? If more than one such word can be made, give ‘Y’ as the answer and if no such word can be made, give ‘X’ as the answer.
A
T
B
L
C
E
D
Y
E
X
Question 68Single Answer
If the letters of the word HANDOVER are arranged alphabetically from left to right how many letters will remain at the same position?
A
None
B
One
C
Two
D
Three
E
More than three
Question 69Single Answer
How many such pairs of letters are there in the word EXCURSION, each of which has as many letters between them in the word as they have in the English alphabet?
A
None
B
One
C
Two
D
Three
E
More than three
Question 70Single Answer
If it is possible to make only one meaningful word with the first, the second, the third, the sixth and the eighth letters of the word DEVIATION first letter of that word is your answer? If more than one such word can be made formed your answer is ‘A’ and if no such word can be formed your answer is ‘B’.
A
V
B
T
C
E
D
A
E
B
Question 71Single Answer
If each alternate letter beginning with the first in the word WORKING is replaced by the next letter in the English alphabet and each of the remaining letters is replaced by the previous letter in the English alphabet, which of the following will be the fourth from the right and after the replacement ?
A
N
B
Q
C
J
D
M
E
None of these
Question 72Single Answer
How many pairs of letters are there in the word ‘SHIFTED’ each of which has as many letters between its two letters as there are between in the English alphabet?
A
None
B
One
C
Two
D
Three
E
None of these
Question 73Single Answer
Statement: Is common currency a necessary ingredient for Europe’s growth ?
Arguments :
I. Yes, A common currency will enable entire Europe to market itself as one .
II. No, Similar experiments by Latin America countries have not affected their economies .
A
The only argument I is strong
B
Only argument II is strong
C
Either I or II is strong
D
Neither I nor II is strong
Question 74Single Answer
If it is possible to make only one meaningful word with the first, the fifth, the sixth, the tenth and the eleventh letters of the word EXCEPTIONAL using each letter only once, first letter of that word is your answer. If no such word can be made formed your answer is ‘X’ and if more than one such word can be formed your answer is ‘Y’.
A
P
B
L
C
T
D
X
E
Y
Question 75Single Answer
How many meaningful English words can be formed with the letters RAE using each letter only once in each word?
A
None
B
One
C
Two
D
Three
E
More than three
Question 76Single Answer
How many such pairs of letters are there in the word WONDERS, each of which has as many letters between its two letters as there are between them in the English alphabet?
A
One
B
Two
C
Three
D
Four
E
More than four
Question 77Single Answer
If it is possible to make only one meaningful English word from the second, the fifth, the seventh and the eighth letters of the word PHYSICAL, using each letter only once, second letter of that word is your answer. If more than one such word can be formed your answer is M. if no such word can be formed your answer is N.
A
I
B
A
C
L
D
M
E
N
Question 78Single Answer
How many such pairs of letters are there in the word JUSTIFY, each of which have as many letters between them in the word as they have between them in the English alphabet?
A
None
B
One
C
Two
D
Three
E
More than three
Question 79Single Answer
If the alphabets are assigned values as A=3, D=6, G=8, I=2, L=4 and T=5 then what is the sum of values of all the alphabets in the word DIGITAL?
A
26
B
28
C
30
D
32
E
None of these
Question 80Single Answer
How many such pairs of letters are there in the word EDUCATION, each of which has as many letters between them in the word as they have in the English alphabet?
A
None
B
One
C
Two
D
Three
E
More than three
Arithmetic & Numerical Ability
Question 81Single 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 82Single Answer
Which of the following numbers is irrational ?
A
√49
B
0.125
C
√2
D
22/7
Question 83Single Answer
356 x 936 – 356 x 836 = ?
A
35600
B
34500
C
9630
D
93600
Question 84Single 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 85Single Answer
What is (3^{4} times 9^{2}) ?
A
36
B
38
C
310
D
96
Question 86Single Answer
If 34X-2 = 729, then find the value of X.
A
4
B
3
C
2
D
5
Question 87Single Answer
Convert 0.6 into fraction ?
A
3/5
B
2/3
C
4/5
Question 88Single 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 89Single 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 90Single Answer
If x*y = x2 + y2 – xy, then value of 9*11 is
A
93
B
103
C
60.5
D
121
Question 91Single Answer
Which is greater ?
A
15/16
B
17/18
C
Equal
D
Cannot compare
Question 92Single Answer
If sum of two numbers is 42 and their product is 437, then find their difference.
A
3
B
4
C
5
D
7
Question 93Single Answer
Write the 44000 in Roman numerals
A
XLI
B
XLVI
C
XLIV
D
XLVIC
Question 94Single Answer
Convert 0.0909… into fraction ?
A
1/11
B
9/11
C
1/9
D
9/10
Question 95Single Answer
What is (98 times 102) ?
A
9996
B
10000
C
10096
D
10196
Question 96Single Answer
Which is smaller ?
A
9/11
B
7/9
C
Equal
D
Cannot compare
Question 97Single Answer
Convert 0.5777… into fraction ?
A
26/45
B
52/90
C
13/22
D
5/9
Question 98Single Answer
Convert 0.81 into fraction ?
A
81/100
B
9/10
C
8/9
D
9/11
Question 99Single Answer
(63)2 – (12)2 =?
A
3528
B
3852
C
3582
D
3825
Question 100Single Answer
Which is greater ?
A
13/17
B
11/14
C
Equal
D
Cannot compare
Mathematics
Question 101Single 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 102Single Answer
A
B
C
D
None of these
Question 103Single 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 104Single 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 105Single 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 106Single Answer
The number of non-empty subsets of the set{1, 2, 3, 4} is
A
15
B
14
C
16
D
17
Question 107Single 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 108Single 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 109Single 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 110Single 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 111Single 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 112Single 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 113Single 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 114Single 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 115Single Answer
If A = (–3, 5) and B = [–7, 9], then
A
A = B
B
A B
C
B A
D
None of these
Question 116Single 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 117Single Answer
Combine terms: 12a + 26b - 4b – 16a .
A
4a + 22b
B
-28a + 30b
C
-4a + 22b
D
28a + 30b
Question 118Single Answer
The average of first 50 natural numbers is ………… .
A
25.30
B
25.5
C
25.00
D
12.25
Question 119Single Answer
60 Times of 8 Equals to
A
480
B
300
C
250
D
400
Question 120Single 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 121Single 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 122Single 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 123Single Answer
A
B
C
D
Question 124Single 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 125Single Answer
What is the Next Prime Number after 7 ?
A
13
B
12
C
14
D
11
Question 126Single Answer
If A and B are two given sets, then A (A B)C is equal to
A
A
B
B
C
D
Question 127Single Answer
121 Divided by 11 is
A
11
B
10
C
19
D
18
Question 128Single 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 129Single Answer
A
{3, 4, 10}
B
{2, 8, 10}
C
{4, 5, 6}
D
{3, 5, 14}
Question 130Single 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 131Single 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 132Single Answer
A
A = B
B
B = C
C
A = C
D
None of these
Question 133Single Answer
A
equal
B
disjoint
C
either equal or disjoint
D
none of the above
Question 134Single Answer
A
{–i, i}
B
{–1, 1}
C
{–1, 1, i, –i}
D
None of these
Question 135Single 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 136Single 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 137Single 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 138Single 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 139Single 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 140Single 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 141Single 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 142Single 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 143Single 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 144Single 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 145Single 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 146Single Answer
A
B
C
D
Question 147Single 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 148Single 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 149Single 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 150Single 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 151Single 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 152Single 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 153Single 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 154Single 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 155Single 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
Which of the following functions is inverse of itself?
A
B
C
D
None of the above
Question 169Single Answer
If f(x) = ex 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 170Single 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 171Single 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 172Single 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 173Single Answer
The number of all one-one functions from set
A = {1, 2, 3} to itself is
A
2
B
6
C
3
D
1
Question 174Single Answer
A
B
C
D
Question 175Single Answer
A
B
C
D
Question 176Single Answer
The number of 3-digit numbers divisible by 6, is ………….. .
A
149
B
166
C
50
D
151
Question 177Single Answer
A
-1
B
-2
C
D
None of these
Question 178Single Answer
Let N be the set of natural numbers and the relation R be defined such that R = {(x, y): y = 2x, x,
y 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 179Single 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 180Single 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 181Single 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 182Single 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 183Single Answer
A
B
C
[ 0 , 1 ]
D
None of the above
Question 184Single 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 185Single 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 186Single 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 187Single Answer
A
B
C
D
Question 188Single 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 189Single Answer
A
B
C
D
None of these
Question 190Single 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 191Single 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 192Single 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 193Single Answer
A
3
B
1
C
D
None of these
Question 194Single Answer
A
B
C
D
Question 195Single Answer
A
B
C
D
Question 196Single Answer
A
Zero
B
1
C
-1
D
Question 197Single 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 198Single 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 199Single Answer
A
B
C
D
Question 200Single Answer
A
B
C
D
Question 201Single Answer
A
B
C
D
Question 202Single Answer
If square root of –7 + 24i is x + iy, then x is equal to
A
±1
B
±2
C
±3
D
±4
Question 203Single Answer
A
B
C
D
Question 204Single Answer
A
B
C
D
Question 205Single Answer
A
B
C
D
Question 206Single Answer
A
B
C
D
Question 207Single Answer
A
i
B
C
1
D
Zero
Question 208Single Answer
A
B
1/2
C
n
D
Zero
Question 209Single Answer
A
B
C
-12 - 9i
D
-12 + 9i
Question 210Single 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 211Single Answer
A
x = 1
B
x = –1
C
x = ±1
D
No real roots
Question 212Single 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 213Single 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 214Single 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 215Single Answer
A
B
C
D
Question 216Single Answer
A
1
B
–1
C
2
D
–2
Question 217Single Answer
What is the conjugate of
A
B
C
D
Question 218Single Answer
If be the conjugate of the complex number z,then which of the following relations is false?
A
B
C
D
Question 219Single 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 220Single Answer
A
B
C
D
Question 221Single Answer
A
Zero
B
C
D
Question 222Single Answer
A
B
C
D
Question 223Single Answer
A
B
C
D
Question 224Single Answer
Re(z2) = 1 is represented by
A
the circle x2 + y2 = 1
B
the hyperbola x2 – y2 = 1
C
parabola or a circle
D
all of the above
Question 225Single Answer
If the complex numbers iz, z and z + iz represent the three vertices of a triangle, then the area of the triangle is
A
B
C
D
Question 226Single Answer
If Z1, Z2, Z3 and z4 are the affixes of four points in the argand plane and z is the affix of a point, such that |z – z1| = |z – z2| = |z – z3| = |z – z4|, then z1, z2, z3 and z4 are
A
concyclic
B
vertices of parallelogram
C
vertices of a rhombus
D
in a straight line
Question 227Single Answer
Let z1 and z2 be the non-real roots of the equation + 3z2 + b = 0. If the origin together with the points represented by z1 and z2 form an equilateral triangle, then the value of b is
A
1
B
2
C
3
D
None of these
Question 228Single Answer
If the sum of a certain n number of terms of the AP, 25, 22, 19,....... is 116, then the last term is
A
4
B
3
C
2
D
–4
Question 229Single Answer
If a, 4, b are in Arithmetic Progression; a, 2, b are in Geometric Progression; then a, 1, b are in
A
A.P
B
G.P
C
H.P
D
None of these
Question 230Single Answer
What is the value of n sot that geometric mean between a and b ? where
A
B
C
n = 2
D
–2
Question 231Single Answer
If logax, logbx, logex be in HP, then a, b, c are in
A
AP
B
HP
C
GP
D
None of these
Question 232Single Answer
If A is the arithmetic mean and G1, G2 be two geometric means between any two numbers, then is equal to
A
2A
B
A
C
3A
D
None of these
Question 233Single Answer
A
B
C
D
Question 234Single Answer
A
B
C
D
Question 235Single Answer
A
B
loge2
C
D
loge2 + 1
Question 236Single Answer
A
B
C
D
Question 237Single Answer
The domain of a sequence can be subset of natural numbers of the type
A
{3, 4, 5,.....k}
B
{1, 2, 3, 4, 5,......k}
C
{0, 1, 2, 3, 4.,....k}
D
None of the above
Question 238Single Answer
A
4
B
6
C
8
D
10
Question 239Single Answer
The number which should be added to the numbers 2, 14, 62, so that the resulting numbers may be in GP, is
A
1
B
2
C
3
D
4
Question 240Single Answer
The sum of the geometric progression 0.15, 0.015, 0.0015, ..... 20 terms is
A
B
C
D
None of these
Question 241Single Answer
The value of 0.234 is
A
B
C
D
Question 242Single Answer
If log 2, log (2n – 1) and log (2n + 3) are in AP, then n is is equal to
A
B
log25
C
log35
D
Question 243Single Answer
In a cricket tournament 16 school terms participated. A sum of Rs,8000 is to be awarded among themselves as prize money. If the last placed team is awarded `Rs 275 in prize money and the award increases by the same amount for successive finishing places, amount will be first place team received is
A
Rs 720
B
Rs 725
C
Rs 735
D
Rs 780
Question 244Single Answer
A
909
B
75
C
750
D
900
Question 245Single Answer
The sum of integers from 1 to 100 that are divisible by 2 or 5 is
A
3000
B
3050
C
4050
D
None of these
Question 246Single Answer
If a2, b2, c2 are in AP, then which of the following is also in AP?
A
sinA, sinB, sinC
B
tanA, tanB, tanC
C
cotA, cotB, cotC
D
None of the above
Question 247Single Answer
A
20
B
30
C
40
D
None of the above
Question 248Single Answer
If a, b, c are in GP and loga – log 2b, log 2b – log 3c and log 3c – log a are in AP, then a, b, c are the length of the sides of a triangle which is
A
acute angled
B
obtuse angled
C
right angled
D
equilateral
Question 249Single Answer
A
AP
B
HP
C
GP
D
None of these
Question 250Single Answer
If x, 1, z are in AP and x, 2, z are in GP, then x, 4, z will be in
A
AP
B
GP
C
HP
D
None of these
Question 251Single Answer
A
AP
B
GP
C
HP
D
None of these
Question 252Single Answer
A
B
C
D
Question 253Single Answer
Let n > 1 be a positive integer, then the largest integer m such that (nm + 1) divides (1 + n + n2 + ..... n127), is
A
32
B
63
C
64
D
127
Question 254Single Answer
If b2, a2, c2 are in AP, then a + b, b + c, c + a, will be in
A
AP
B
GP
C
HP
D
None of these
Question 255Single Answer
A
(n – 1)(a1 – an)
B
na1an
C
(n – 1)a1an
D
n(a1 – an)
Question 256Single Answer
in
A
AP
B
GP
C
HP
D
None of these
Question 257Single Answer
A
B
C
D
Question 258Single Answer
Sum of n terms of the following series 13 + 33 + 53 + 73 + ..... is
A
n2(2n2 – 1)
B
n3(n – 1)
C
n3 + 8n + 3
D
2n4 + 3n2
Question 259Single Answer
A
e + 1
B
C
e – 1
D
None of these
Question 260Single Answer
A
2loge2 – 2
B
2 – loge2
C
2loge4
D
loge4
Question 261Single Answer
In how many ways can the number 7056 be resolved into two factors ?
A
20
B
21
C
23
D
22
Question 262Single Answer
The sum of the cubes of three consecutive intergers is divisible by
A
36
B
18
C
12
D
9
Question 263Single Answer
The number of integers less than 720 and prime to it
A
144
B
192
C
216
D
36
Question 264Single Answer
The number of ways in which N = 2,778,300 can be resolved into the two factors prime to each other
A
10
B
9
C
8
D
7
Question 265Single Answer
The sum of the divisors of 630 is
A
809
B
1439
C
1872
D
1579
Question 266Single Answer
The number of zeroes at the end, if 100! is fully expanded and written out is
A
23
B
26
C
25
D
24
Question 267Single Answer
What is the highest power of 3 contained in 100!?
A
49
B
48
C
47
D
46
Question 268Single Answer
The least positive integer having remainders 2, 3, 2 when divided by 3, 5, 7 respectively
is
A
27
B
25
C
24
D
23
Question 269Single Answer
If n is positive odd integer, then n3 – n is divisible by
A
32
B
24
C
18
D
15
Question 270Single Answer
n7 – n is divisible by
A
50
B
45
C
40
D
42
E
42
Question 271Single Answer
32n – 8n – 1 is divisible by
A
65
B
67
C
71
D
64
Question 272Single Answer
If n > 2, then n5 – 5n3 + 4n is divisible by
A
120
B
110
C
100
D
90
Question 273Single Answer
n(n + 1)(n + 5) is a multiple of
A
5
B
6
C
7
D
None of these
Question 274Single Answer
A
B
C
D
Question 275Single Answer
What is the largest number that divides 245 and 1029, leaving remainder 5 in each case?
A
15
B
16
C
9
D
5
Question 276Single Answer
Which of the following is a key component of effective teaching?
A
Memorization
B
Active Learning
C
Passive Learning
D
Focus on Test Scores
Question 277Single Answer
Which teaching method emphasizes student collaboration and problem-solving?
A
Lecture Method
B
Inquiry-Based Learning
C
Lecture and Note-taking
D
Drill and Practice
Question 278Single Answer
What does the Constructivist theory of learning emphasize?
A
Passive absorption of information
B
Learners constructing their own knowledge
C
Memorizing facts and figures
D
Teacher-centered instruction
Question 279Single Answer
Which of the following is not an effective classroom management strategy?
A
Clear communication of expectations
B
Positive reinforcement
C
Ignoring disruptive behavior
D
Consistent routines
Question 280Single Answer
Which of the following teaching strategies promotes higher-order thinking?
A
Recall-based questions
B
Lecture-based instruction
C
Problem-solving and critical thinking tasks
D
Multiple-choice questions
Question 281Single Answer
According to Vygotsky, the 'Zone of Proximal Development' refers to:
A
The range of tasks a student can perform alone
B
The range of tasks a student cannot perform, even with assistance
C
The tasks a student can perform with minimal support
D
The range of tasks a student can perform with the help of a more knowledgeable other
Question 282Single Answer
In Bloom's Taxonomy, which of the following is the highest level of cognitive skills?
A
Knowledge
B
Comprehension
C
Synthesis
D
Evaluation
Question 283Single Answer
Which of the following best describes the purpose of differentiated instruction?
A
To maintain uniformity in teaching
B
To meet the varied learning needs of students
C
To make learning more challenging for all students
D
To reduce the workload for the teacher
Question 284Single Answer
The flipped classroom model primarily focuses on:
A
Teacher-centered direct instruction
B
Students learning at home through online resources
C
Learning through textbooks alone
D
Peer-teaching and collaboration
Question 285Single Answer
Which of the following is an example of an active learning strategy?
A
Reading a textbook chapter
B
Listening to a lecture
C
Group discussion and debates
D
Memorizing facts
Question 286Single Answer
What is the main focus of learner-centered teaching?
A
Teachers controlling the pace of the lesson
B
Encouraging students to take responsibility for their own learning
C
Focusing solely on lectures
D
Providing a rigid structure for the lesson
Question 287Single Answer
What type of teaching strategy is best for developing critical thinking skills?
A
Rote memorization
B
Lecture-based learning
C
Socratic questioning
D
Listening and note-taking
Question 288Single Answer
In what way does collaborative learning benefit students?
A
It encourages individual work
B
It allows students to learn only from the teacher
C
It helps students develop communication and teamwork skills
D
It focuses on rote memorization
Question 289Single Answer
Which of the following best describes 'scaffolding' in the context of teaching?
A
Giving all students the same level of support
B
Providing initial support that is gradually removed as students gain independence
C
Teaching without any prior assessment
D
Reducing the difficulty of tasks for students
Question 290Single Answer
The concept of 'multiple intelligences' was proposed by:
A
Jean Piaget
B
Howard Gardner
C
Lev Vygotsky
D
Benjamin Bloom
Question 291Single Answer
Which of the following is a key feature of inquiry-based learning?
A
Direct transmission of facts
B
Emphasis on rote memorization
C
Encouraging curiosity and self-directed investigation
D
Strictly following a teacher's script
Question 292Single Answer
Which is an example of summative assessment?
A
Formative quizzes
B
Student discussions
C
End-of-term exams
D
Peer feedback
Question 293Single Answer
Which of the following is an example of a 'constructivist' teaching strategy?
A
Lecture-based instruction
B
Problem-solving tasks
C
Memorization drills
D
Teacher-dominated discussions
Question 294Single Answer
What does the term 'active learning' refer to?
A
Students are passively listening to the teacher
B
Students are actively engaged in learning through participation
C
Students only study at home
D
Teachers provide answers for students
Question 295Single Answer
Integrating language across the curriculum helps students to:
A
Focus on one subject at a time
B
Develop language skills only in language classes
C
Use language skills in multiple subject areas
D
Avoid learning languages
Question 296Single Answer
In the context of teaching language across the curriculum, which strategy is most effective for supporting students' language development?
A
Focusing solely on language arts classes
B
Encouraging reading and writing in all subjects
C
Avoiding the use of specialized vocabulary
D
Using only oral communication in all lessons
Question 297Single Answer
Which of the following is a key feature of 'language awareness' in teaching?
A
Teaching grammar in isolation
B
Encouraging students to understand how language works in different subjects
C
Focusing only on speaking and listening skills
D
Relying on textbooks for all language learning
Question 298Single Answer
The integration of language skills in the science curriculum might involve:
A
Only reading scientific texts
B
Focusing solely on mathematical language
C
Using both writing and speaking skills to explain scientific concepts
D
Teaching science without any reference to language skills
Question 299Single Answer
Which of the following is an example of a language-rich classroom environment?
A
A classroom with few student interactions
B
A classroom where students primarily read textbooks
C
A classroom where students engage in discussions, writing tasks, and presentations
D
A classroom where only the teacher speaks
Question 300Single Answer
The process of 'academic language' development in students refers to:
A
Informal language used in daily conversation
B
The specialized language used in academic disciplines