Latest DSSSB TGT 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 TGT 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
Which of the following programmes aims at the promotion of savings among rural women
A
Rashtriya Mahila Kosh
B
Indira Mahila Yojna
C
Jawahar Rozgar Yojna
D
Mahila Samridhi Yojna
Question 26Single Answer
What is Net National Product
A
the money value of final goods and services produced annually in the economy
B
the money value of annual service generation in the economy
C
the money value of tangible goods produced annually in the economy
D
The money value of tangible goods available in the economy
Question 27Single 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 28Single Answer
Where did the First Battle of Panipat take place?
A
Panipat
B
Delhi
C
Kurukshetra
D
Agra
Question 29Single Answer
Who built the Jama Masjid of Delhi?
A
Shah Jahan
B
Jahangir
C
Akbar
D
Aurangzeb
Question 30Single Answer
The iconic Humayun's Tomb was built by:
A
Babur
B
Humayun
C
Hamida Banu Begum
D
Akbar
Question 31Single Answer
The Iron Pillar near Qutub Minar was originally from:
A
Kanauj
B
Mathura
C
Ujjain
D
Pataliputra
Question 32Single Answer
"Who said, 'India was a parrot unto itself'?
A
Malik Muhammad Joyce
B
Raskhan
C
Rich Khusrow
D
Rich Hasan
Question 33Single Answer
Which is the national game of Bhutan ?
A
badminton
B
basketball
C
football
D
archery
Question 34Single Answer
When was the Constituent Assembly of India formed?
A
1946
B
1947
C
1948
D
1950
Question 35Single Answer
Who is known as the "Missile Man of India"?
A
Dr. Homi J. Bhabha
B
Dr. Vikram Sarabhai
C
Dr. APJ Abdul Kalam
D
Dr. Satish Dhawan
Question 36Single Answer
Which day is observed on 1 October every year as declared by the United Nations?
A
World Teachers’ Day
B
International Day of Non-Violence
C
World Food Day
D
International Day of Older Persons
Question 37Single Answer
The Union Public Service Commission (UPSC) completed 100 years of its establishment on which date in 2026?
A
26 January 2026
B
1 October 2026
C
15 August 2026
D
26 November 2026
Question 38Single Answer
The Union Cabinet raised the Minimum Support Price (MSP) of wheat for the 2027-28 Rabi season by how much?
A
₹25 per quintal
B
₹15 per quintal
C
₹50 per quintal
D
₹75 per quintal
Question 39Single Answer
The Cabinet approved an Intelligent Traffic Management System (ITMS) for Delhi at an approximate cost of:
A
₹790 crore
B
₹2,790 crore
C
₹1,790 crore
D
₹3,790 crore
Question 40Single Answer
Which initiative was launched under Swachh Bharat Mission–Urban 2.0 to develop 50 model cities?
A
PRAGATI-50
B
Smart City Mission
C
AMRUT 2.0
D
Clean India Mission
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
B and A
B, then
R} is .....X.... set. Here, X refers to
B 
A
(A 
= 100, then n
is equal to 300 provided n(X) is equal to
N} and B = {x : x is a multiple of 6 and x 
N}, then A 
B consists of all multiples of
B will be
B)?
(B × A)] is equal to
B) × (A 
B) is equal to
N and x < 6} 
N and x < 6} 
N and x < 6} 
g{f(x)}
0 is the inverse of itself, is
N}. Then,
R, then which value of x will satisfy fog (x) = 25?
