MCQ Bank

Subjects
All Subjects 56097 ACC311
Fundamentals of Auditing
F:210
210 ACC31Q
F:97
97 ACC501
Business Finance
F:248
248 ACC707
F:33
33 BIF101
Introduction to Bioinformatics
F:37
37 BIF401
Bioinformatics I
F:27
27 BIF401P
Bioinformatics I (Practical)
F:53
53 BIF501
Bioinformatics II
F:63
63 BIF501P
Bioinformatics II (Practical)
F:49
49 BIF601
Bioinformatics Computing I
F:25
25 BIF601P
Bioinformatics Computing I (Practical)
F:35
35 BIF602
Bioinformatics Computing II
F:3
3 BIF604
Special Topics in Bioinformatics
F:67
67 BIO101
Basic I-Biology
F:17
17 BIO102
Basic II-Chemistry
F:38
38 BIO201
M:30
30 BIO203
M:42
42 BIO303
M:29
29 BIO401
Biostatistics
F:24
24 BIO502
Genomics
F:20
20 BIO503
Biological Physics
M:30 F:48
78 BIO504P
Biochemistry I (Practical)
F:23
23 BIO504T
Biochemistry I (Theory)
F:12
12 BIO505P
Essentials of Genetics (Practical)
F:71
71 BIO505T
Essentials of Genetics (Theory)
F:11
11 BIO506P
Biochemistry II (Practical)
F:35
35 BIO506T
Biochemistry II (Theory)
F:16
16 BIO5101
Introduction to Biotechnology
F:25
25 BIO5105
Cell Biology
F:18
18 BIO601
Proteomics
F:20
20 BIO732
Gene Manipulation and Genetic Engineering
F:49
49 BNK601
Banking Laws & Practices
F:129
129 BNK603
Consumer Banking
F:115
115 BNK610
Islamic Banking Practices
F:69
69 BNK611
Economic Ideology in Islam
F:102
102 BNK612
Financial Jurisprudence in Islam
F:29
29 BNK613
Islamic Ethics in Business
F:23
23 BT101
Ecology, Biodiversity & Evolution-I
F:80
80 BT102
M:31 F:53
84 BT201
F:246
246 BT301
F:30
30 BT302
Immunology
M:55 F:35
90 BT401
Genetic Resources & Conservation
F:163
163 BT402
F:37
37 BT403
F:43
43 BT404
M:9
9 BT405
Nano Biotechnology
F:41
41 BT406
Research Methodology & Skill Enhancement
F:106
106 BT501
Health Biotechnology
F:141
141 BT503
Environment Biotechnology
F:74
74 BT504
Genomics and Proteomics
F:67
67 BT505
Biosensors
F:68
68 BT511P
Introduction to Biotechnology (Practical)
F:25
25 BT511T
F:27
27 BT512P
Microbial Biotechnology (Practical)
F:74
74 BT512T
Microbial Biotechnology (Theory)
F:170
170 BT513P
Principles of Biochemical Engineering (Practical)
F:71
71 BT513T
Principles of Biochemical Engineering (Theory)
F:37
37 BT601
Virology
F:69
69 BT603
F:21
21 BT604
F:19
19 BT605
Biosafety & Bioethics
F:58
58 BT611P
Food Biotechnology (Practical)
F:52
52 BT611T
Food Biotechnology (Theory)
F:55
55 BT612P
Fermentation Technology (Practical)
F:31
31 BT612T
Fermentation Technology (Theory)
F:12
12 BT613T
Agriculture Biotechnology (Theory)
F:28
28 BT614P
Industrial Biotechnology (Practical)
F:28
28 BT614T
Industrial Biotechnology (Theory)
F:37
37 CHE201
Physical Chemistry
F:77
77 CHE301
M:28
28 CS001
F:58
58 CS101
Introduction to Computing
F:751
751 CS201
Introduction to Programming
M:97 F:247
344 CS201P
Introduction to Programming (Practical)
F:200
200 CS202
F:192
192 CS204
F:77
77 CS205
Information Security
F:87
87 CS206
F:57
57 CS301
Data Structures
F:141
141 CS301P
Data Structures (Practical)
F:63
63 CS302
Digital Logic Design
F:192
192 CS302P
F:64
64 CS304
Object Oriented Programming
F:89
89 CS304P
Object Oriented Programming (Practical)
F:147
147 CS306
Introduction to Python
F:75
75 CS306P
Introduction to Python (Practical)
F:88
88 CS311
Introduction to Web Services Development
F:132
132 CS312
F:47
47 CS314
Introduction to Cellular Networks
F:84
84 CS315
F:57
57 CS401
F:117
117 CS401P
F:94
94 CS402
M:67 F:140
207 CS403
Database Management Systems
F:162
162 CS403P
Database Management Systems (Practical)
F:120
120 CS405
Database Programming using Oracle 11g
F:70
70 CS406
F:28
28 CS407
Routing and Switching
F:70
70 CS408
Human Computer Interaction
M:94 F:76
170 CS409
Introduction to Database Administration
F:43
43 CS409P
F:59
59 CS411
Visual Programming
F:100
100 CS420
Web Development for Portable Devices
F:106
106 CS431
Wireless Communication
F:43
43 CS432
F:80
80 CS435
Cloud Computing
F:46
46 CS441
F:73
73 CS442
Introduction to Data Science
F:29
29 CS501
F:120
120 CS502
Fundamentals of Algorithms
F:156
156 CS504
Software Engineering - I
F:179
179 CS505
F:49
49 CS505P
F:96
96 CS506
Web Design and Development
F:196
196 CS507
Information Systems
M:87 F:165
252 CS508
F:227
227 CS510
F:63
63 CS513
Advanced Data Analytics and Business Intelligence
F:128
128 CS514
F:23
23 CS521
F:26
26 CS525
F:25
25 CS601
Data Communication
F:137
137 CS602
Computer Graphics
F:105
105 CS603
F:62
62 CS603P
F:54
54 CS604
F:177
177 CS604P
F:86
86 CS605
F:82
82 CS606
F:194
194 CS607
Artificial Intelligence
F:134
134 CS607P
Artificial Intelligence (Practical)
F:108
108 CS608
F:75
75 CS609
F:89
89 CS610
Computer Networks
F:126
126 CS610P
F:100
100 CS611
F:78
78 CS614
Data Warehousing
F:126
126 CS615
F:121
121 CS620
Modelling and Simulation
F:62
62 CS621
F:38
38 CS625
Professional Practices
M:30 F:27
57 CS626
F:30
30 CS627
F:39
39 CS628
F:30
30 CS636
F:40
40 ECE101
Introduction to Early Childhood Education
F:69
69 ECE201
Language Development of the Child
F:47
47 ECE202
Physical Development of the Child
F:29
29 ECE203
Children Literature and Educational Games
F:56
56 ECE204
Independence, Self-Management and Ethics in Early Years
F:24
24 ECE301
Psycho Social Development of the Child
F:19
19 ECE302
Education for Sustainable Development in Early Childhood Education
F:21
21 ECE402
Trends and Issues in Early Childhood Education
F:48
48 ECO302
Principles of Microeconomics
F:36
36 ECO303
Principles of Macroeconomics
F:20
20 ECO401
Economics
F:383
383 ECO402
Microeconomics
F:99
99 ECO403
Macroeconomics
F:137
137 ECO404
Managerial Economics
F:129
129 ECO501
Development Economics
F:32
32 ECO601
Business Econometrics
F:40
40 ECO603
International Economics
F:53
53 ECO604
F:64
64 ECO605
F:30
30 ECO606
Mathematical Economics I
F:108
108 ECO607
F:182
182 ECO608
F:57
57 ECO609
F:48
48 ECO610
F:74
74 ECO612
F:21
21 ECO613
F:50
50 ECO614
F:47
47 ECO615
F:55
55 ECO616
F:68
68 ECO622
F:29
29 EDU101
Foundations of Education
M:155 F:72
227 EDU201
Learning Theories
F:95
95 EDU301
General Methods of Teaching
F:20
20 EDU302
Human Development and Learning
F:57
57 EDU303
Child Development
F:113
113 EDU304
Introduction to Guidance and Counseling
F:33
33 EDU305
Classroom Management
M:120 F:88
208 EDU306
Teaching of Social Studies and Islamiat in Early Years of Education
F:48
48 EDU401
Contemporary Issues and Trends in Education
M:122 F:117
239 EDU402
Curriculum Development
F:46
46 EDU403
Art, Crafts and Calligraphy
F:37
37 EDU405
Classroom Assessment
F:87
87 EDU406
Critical Thinking and reflective Practice
M:45 F:75
120 EDU407
Research Methods in Education
F:24
24 EDU410
Teaching of Literacy Skills
M:37 F:65
102 EDU411
Teaching of Urdu
F:312
312 EDU430
ICT in Education
M:276 F:147
423 EDU431
Test Development & Evaluation
M:33 F:62
95 EDU433
Professionalism in Teaching
M:84 F:66
150 EDU501
School, Community and Teacher
M:135 F:42
177 EDU505
M:29 F:41
70 EDU510
Teaching of Mathematics
F:15
15 EDU512
Teaching of Islamic Studies
F:86
86 EDU515
Teaching of Geography
F:12
12 EDU516
Teaching of English
M:31 F:54
85 EDU601
Philosophy of Education
F:129
129 EDU602
Educational Leadership and Management
F:52
52 EDU604
Comparative Education
F:103
103 EDU654
Addressing problems of learning through technology and pedagogy
M:98 F:25
123 EDU705
F:26
26 EDUA305
Classroom Management for Young Learners
F:52
52 EDUA402
Curriculum Development for Early Childhood Education
F:10
10 EDUA403
Teaching of Arts, Crafts & Calligraphy
F:49
49 EDUA405
Assessment and Evaluation in Early Years of Education
F:16
16 EDUA406
Reflective Practices and Critical Thinking in Early Years
F:47
47 EDUA411
Teaching of Urdu in Early Childhood
F:55
55 EDUA430
Use of Information and Communication Technology for Early Childhood Education
F:77
77 EDUA501
Role of School, Community & Teacher in Early Years of Education
F:32
32 EDUA510
Teaching of Mathematics in Early Childhood
F:11
11 EDUA516
Teaching of English in Early Childhood
F:51
51 EDUA601
Philosophical Foundations of Early Childhood Education
F:20
20 EDUA602
Leadership and Management of Early Childhood Education Programs
F:22
22 ENG001
F:417
417 ENG101
English Comprehension
F:344
344 ENG201
Business and Technical English Writing
M:47 F:289
336 ENG301
Business Communication
M:53 F:340
393 ENG401
F:63
63 ENG501
History of English Language
M:53 F:73
126 ENG502
Introduction to Linguistics
M:61 F:55
116 ENG503
Introduction to English Language Teaching
M:396 F:31
427 ENG504
Second Language Acquisition
F:44
44 ENG505
F:68
68 ENG506
World Englishes
F:60
60 ENG507
Phonetics and Phonology
F:64
64 ENG508
Semantics and Pragmatics
F:61
61 ENG509
Morphology and Syntax
M:17 F:50
67 ENG510
Sociolinguistics
F:41
41 ENG511
F:102
102 ENG512
F:44
44 ENG513
F:35
35 ENG514
F:57
57 ENG515
F:37
37 ENG516
F:50
50 ENG517
M:141 F:38
179 ENG518
M:17 F:65
82 ENG519
M:247 F:64
311 ENG520
M:116 F:112
228 ENG522
Applied Linguistics
M:38 F:92
130 ENG523
M:44 F:76
120 ENG524
M:20 F:48
68 ENG527
F:78
78 ENG529
M:15 F:34
49 ETH100
Effective Citizenship
F:145
145 ETH201
F:20
20 ETH202
Ethics (for Non-Muslims)
F:54
54 FIN611
Advanced Financial Accounting
F:113
113 FIN621
Financial Statement Analysis
F:168
168 FIN622
Corporate Finance
F:162
162 FIN623
Taxation Management
F:203
203 FIN624
Islamic Modes of Finance
F:99
99 FIN625
Credit & Risk Management
F:96
96 FIN630
F:217
217 FIN702
F:56
56 FIN703
F:104
104 FIN711
F:73
73 GSC101
General Science
F:423
423 GSC201
Teaching of General Science
F:47
47 GSCA201
Teaching of General Science in Early Years of Education
F:28
28 HRM613
Performance Management
F:59
59 HRM617
Training and Development
F:70
70 HRM624
Conflict Management
F:220
220 HRM626
Recruitment and selection
F:56
56 HRM627
Human Resource Development
F:300
300 HRM733
F:19
19 HRM737
F:20
20 ISL1151
F:126
126 ISL1252
F:87
87 ISL1253
F:73
73 ISL201
F:39
39 ISL202
Islamic Studies
F:903
903 ISL2351
F:24
24 ISL2352
F:84
84 ISL2453
F:26
26 ISL2454
F:52
52 IT430
E-Commerce
F:280
280 IT601
F:31
31 IT602
F:33
33 MB501P
Cell Biology (Practical)
F:48
48 MB502P
Molecular Biology (Practical)
F:111
111 MB502T
Molecular Biology (Theory)
M:119 F:67
186 MB503T
F:35
35 MB504P
Methods in Molecular Biology (Practical)
F:46
46 MB504T
Methods in Molecular Biology (Theory)
F:53
53 MCD401
F:10
10 MCD403
F:20
20 MCD504
Acting and Performance
F:80
80 MCM101
Introduction to Mass Communication
F:98
98 MCM301
Communication skills
F:66
66 MCM304
Mass Media in Pakistan
F:52
52 MCM310
Journalistic Writing
F:114
114 MCM311
Reporting and Sub-Editing
F:96
96 MCM401
Fundamentals of Public Relations
F:108
108 MCM411
Introduction to Broadcasting
F:76
76 MCM431
F:118
118 MCM501
Advertising for Print and Electronic Media
F:105
105 MCM511
Theories of Communication
F:44
44 MCM514
F:21
21 MCM515
F:21
21 MCM516
F:55
55 MCM517
F:68
68 MCM520
F:67
67 MCM532
F:42
42 MCM601
Media Management
F:99
99 MCM604
F:115
115 MCM610
Mass Communication Law & Ethics
F:85
85 MGMT611
Human Relations (alt. code=HRM611)
F:205
205 MGMT614
Supply Chain Management
F:43
43 MGMT615
Transportation & Logistics Management
F:42
42 MGMT617
Production Planning and Inventory Control
F:44
44 MGMT622
Management Skills
F:149
149 MGMT623
Leadership & Team Management - MGMT623 (alt. code=HRM623)
M:87 F:160
247 MGMT625
F:126
126 MGMT627
Project Management
F:130
130 MGMT628
F:234
234 MGMT629
F:99
99 MGMT630
F:112
112 MGMT631
Enterprise Resource Planning
F:43
43 MGT101
Financial Accounting
F:330
330 MGT111
Introduction to Public Administration
F:197
197 MGT201
Financial Management
F:110
110 MGT211
Introduction To Business
F:175
175 MGT301
Principles of Marketing
F:215
215 MGT302
Digital Marketing
F:39
39 MGT401
Financial Accounting II
F:30
30 MGT402
Cost & Management Accounting
F:107
107 MGT404
F:135
135 MGT411
Money & Banking
F:194
194 MGT415
Introduction to Business Analytics
F:86
86 MGT501
Human Resource Management
F:396
396 MGT502
Organizational Behaviour
M:167 F:555
722 MGT503
Principles of Management
F:325
325 MGT504
F:214
214 MGT510
Total Quality Management (alt. code=MGMT510)
M:100 F:561
661 MGT513
Public Administration in Pakistan
F:80
80 MGT520
International Business
F:231
231 MGT522
Introduction to Public Policy
F:116
116 MGT601
F:121
121 MGT602
Entrepreneurship
F:270
270 MGT603
Strategic Management
F:330
330 MGT604
Management of Financial Institutions (alt. code=BNK604)
F:123
123 MGT605
F:66
66 MGT610
M:20 F:231
251 MGT611
Business & Labor Law
F:122
122 MGT612
F:77
77 MGT613
Production / Operations Management
F:220
220 MGT621
F:114
114 MGT701
F:52
52 MGT703
F:46
46 MGT713
F:44
44 MGT714
F:71
71 MGT717
F:42
42 MGT723
F:20
20 MGT725
F:67
67 MGTE630
Knowledge Management
M:34 F:19
53 MIC501P
Microbiology (Practical)
F:71
71 MIC501T
Microbiology (Theory)
F:40
40 MKT501
Marketing Management
F:250
250 MKT529
Export Marketing
F:53
53 MKT530
Consumer Behaviour
F:71
71 MKT610
Customer Relationship Management
F:83
83 MKT621
Advertising & Promotion
F:94
94 MKT624
Brand Management
F:114
114 MKT627
Sales Management
F:61
61 MKT630
International Marketing
F:127
127 MKT703
F:37
37 MKT726
F:20
20 MTH001
F:276
276 MTH100
General Mathematics
F:216
216 MTH101
Calculus And Analytical Geometry
F:1292
1292 MTH102
F:32
32 MTH104
Sets and Logic
F:64
64 MTH201
F:68
68 MTH202
Discrete Mathematics
F:238
238 MTH301
F:406
406 MTH302
Business Mathematics & Statistics
F:778
778 MTH303
Mathematical Methods
F:160
160 MTH304
F:35
35 MTH401
F:226
226 MTH403
F:147
147 MTH404
F:41
41 MTH405
F:132
132 MTH501
Linear Algebra
F:366
366 MTH5101
Calculus I
F:27
27 MTH5102
Calculus II
F:12
12 MTH601
F:266
266 MTH603
F:160
160 MTH621
F:105
105 MTH622
F:62
62 MTH631
F:167
167 MTH632
F:97
97 MTH633
F:54
54 MTH634
F:67
67 MTH641
F:179
179 MTH642
F:76
76 MTH643
F:22
22 MTH644
F:101
101 MTH645
F:63
63 MTH646
F:91
91 MTH647
F:53
53 PAD603
F:60
60 PAK301
Pakistan Studies
M:10 F:155
165 PAK302
Pakistan Studies
F:131
131 PAK522
Ideology and Constitution of Pakistan
F:51
51 PHY101
Physics
F:626
626 PHY301
F:95
95 PSC201
International Relations
F:85
85 PSC401
F:48
48 PSY101
Introduction to Psychology
F:409
409 PSY401
F:166
166 PSY402
F:43
43 PSY403
Social Psychology
F:262
262 PSY404
Abnormal Psychology
F:137
137 PSY405
Personality Psychology
F:174
174 PSY406
Educational Psychology
M:182 F:244
426 PSY407
F:175
175 PSY408
F:207
207 PSY409
F:143
143 PSY502
History & Systems of Psychology
F:264
264 PSY504
Cognitive Psychology
F:126
126 PSY505
Developmental Psychology
F:108
108 PSY510
F:179
179 PSY511
Environmental Psychology
F:69
69 PSY512
Gender Issues in Psychology
F:192
192 PSY513
F:175
175 PSY514
F:104
104 PSY515
Cross Cultural Psychology
F:140
140 PSY516
F:88
88 PSY610
F:81
81 PSY611
Ethical Issues in Psychology
F:132
132 PSY631
F:116
116 PSY632
F:180
180 PSYP402
F:90
90 PSYP610
F:171
171 PSYP631
F:185
185 SE601
F:21
21 SE601P
F:61
61 SE602
F:36
36 SOC101
Introduction to Sociology
M:121 F:1279
1400 SOC201
Social Statistics
F:191
191 SOC301
Introduction to Social Work
F:63
63 SOC302
Sociological Theories
F:94
94 SOC401
Cultural Anthropology
M:137 F:143
280 SOC402
F:59
59 SOC403
Gender Studies
F:80
80 SOC404
Pakistani Society and Culture
F:109
109 SOC509
F:89
89 SOC601
F:45
45 SOC602
Sociology of Education
F:50
50 SOC603
Sociology of Development
F:50
50 SOC604
Community Development
F:61
61 SOC605
Population Dynamics
F:51
51 SOC606
F:45
45 SOC607
F:90
90 SOC608
F:57
57 SOC609
F:82
82 SOC610
Electronic Media & Virtual Community
F:86
86 SOC611
F:58
58 SOC612
F:60
60 SOC613
F:70
70 SOC614
F:46
46 SOC615
F:65
65 SOC616
F:40
40 SOC617
F:59
59 STA301
Statistics and Probability
F:402
402 STA302
Data Analytics and Business Intelligence
F:34
34 STA621
F:64
64 STA630
Research Methods
M:76 F:298
374 STA631
Inferential Statistics
F:29
29 STA641
Statistical Packages and its Applications
F:87
87 STA642
Probability Distributions
F:59
59 STAT404
F:29
29 URD100
Urdu Language
F:42
42 URD101
Urdu
F:158
158 ZOO102
F:9
9 ZOO103
F:10
10 ZOO403
F:50
50 ZOO501
F:23
23 ZOO501P
F:44
44 ZOO501T
Developmental Biology (Theory)
F:115
115 ZOO502
F:9
9 ZOO503
F:153
153 ZOO504
F:139
139 ZOO505
F:27
27 ZOO507
F:21
21 ZOO510
Economic Zoology
F:136
136 ZOO511P
F:56
56 ZOO511T
F:27
27 ZOO512P
Animal Diversity: Invertebrates
F:25
25 ZOO512T
Animal Diversity: Invertebrates (Theory)
F:248
248 ZOO513P
Animal Diversity: Chordates (Practical)
F:34
34 ZOO513T
Animal Diversity: Chordates (Theory)
F:10
10 ZOO516P
F:36
36 ZOO516T
Animal Form & Function-I (Theory)
F:42
42 ZOO517P
F:29
29 ZOO517T
F:74
74 ZOO518P
F:71
71 ZOO518T
F:20
20 ZOO519P
F:55
55 ZOO519T
Physiology (Theory)
F:17
17 ZOO603T
Fish Biology (Theory)
F:13
13
Koi subject nahi mila
Clear
56097 result(s)
MTH101 Final Term Unsolved
Q367

$${\text{Which of the following is true for the definite integral }}\int_a^b {f(x)} dx =$$

  • A) $$\int_a^a {f(x)} dx$$
  • B) $$- \int_b^a {f(x)} dx$$
  • C) $$\int_b^a {f(x)} dx$$
  • D) $$- \int_a^b {f(x)} dx$$
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q368

Which transformation can be applied to shift the graph above the x-axis?

  • A) Reflecting in the y-axis.
  • B) Scaling in the x-direction.
  • C) Translating horizontal.
  • D) Translating vertically.
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q369

The volume of solid obtained when the region under the curve $y = {x^3}$ over the interval [1,3] is revolved about the x-axis is

  • A) $V = \int\limits_1^3 {\pi {x^3}dy}$
  • B) $V = \int\limits_1^3 {{x^6}dx}$
  • C) $V = \int\limits_1^3 {\pi {x^6}dx}$
  • D) $V = \int\limits_1^3 {\pi {x^3}dx}$
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q370

The value of the $\int\limits_0^1 {{t^3}dt = \_\_\_\_\_\_\_.}$

  • A) 1/3
  • B) 4/3
  • C) 1/4
  • D) 2/3
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q371

The value of the definite integral of a function f(x)= x2 taken from [-7, 7] is 0.

  • A) False
  • B) True
  • C)
  • D)
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q372

Definite integral gives the area under the curve.

  • A) True
  • B) False
  • C)
  • D)
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q373

$$Find\,\,the\,\,area\,\,between\,\,y = x\,\,and\,\,y = \,\, - x(x - 4)$$

  • A) $$0$$
  • B) $$None\,\,of\,\,these$$
  • C) $$\frac{9} {2}\,$$
  • D) $$\frac{7} {2}\,$$
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q374

What is the primary difference between a 1d object and a 2d object?

  • A) A 1d object has length, while a 2d object has area.
  • B) A 1d object has width, while a 2d object has height.
  • C) A 1d object is flat, while a 2d object is three-dimensional
  • D) A 1d object can curve, while a 2d object is always straight.
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q375

If the value of definite integral of a function
f(x) taken from 1 to 3 is 9 then its value taken from 3 to 1 is

  • A) None of these
  • B) 9
  • C) 0
  • D) -9
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q376

The value of $\int\limits_1^x {{y^2}dy = \_\_\_\_\_.}$

  • A) $\frac{{{y^3}}}{3} - \frac{1}{3}$
  • B) $\frac{{{x^3}}}{3} - \frac{1}{3}$
  • C)
  • D)
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q377

If the integrand is continuous, then the derivative of a definite integral w.r.t its upper limit is equal to the integrand evaluated at the ………

  • A) upper limit
  • B) middle limit
  • C) None of these
  • D) lower limit
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q378

$$Find\,\,the\,\,area\,\,of\,\,the\,\,region\,\,between\,\,the\,\,x - axis\,,\,\,the\,\,f(x) = \,x^3 - x^2 - 2x;\,\,\, - 1 \leqslant x \leqslant 2$$

  • A) $$\frac{{37}} {{12}}$$
  • B) $$None\,\,of\,\,these$$
  • C) $$\frac{{45}} {4}\,$$
  • D) $$\,\frac{3} {2}$$
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q379

$$Evaluate\;\frac{d} {{dx}}\int_1^x {t^2 } dt =$$

  • A) $$3x^2$$
  • B) $$- x^2$$
  • C) $$x^2$$
  • D) none of these
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q380

$\int\limits_a^b {f(x)dx} \, = \,\_\_\_\_\_\_\_\_.$

  • A) $\int\limits_a^b {f(z)dz}$
  • B) $\int\limits_b^a {f(x)dx}$
  • C)
  • D)
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q381

If the definite integral of f(x)=3 over [1,x] is greater than ‘12’ then -----

  • A) x>5
  • B) x>1
  • C) x>3
  • D) x>12
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q382

The volume of cylindrical shell for R = 2, r = 1 and h = 2 is -----------

  • A) 5*pi
  • B) 6*pi
  • C) 3*pi
  • D) 4*pi
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q383

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  • A) data:image/png;base64,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.
  • B) data:image/png;base64,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.
  • C) data:image/png;base64,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.
  • D) data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKQAAAAZCAYAAAC/4YXqAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAQxSURBVHhe7dcNTSVLEAVgLKABC3hAAhqwgAMc4AAFKMAABnCAh3n5svckld7u+bksl+FlTjLZS3d1/Zw61TN7NR04sCMcgjywKxyCPLArHII8sCv8U0G+vb1N9/f30/v7+2llHk9PT9PDw8P08fFxWjnwE9hT3zYJUiLX19fT1dXV9Pj4eFr9g5eXl+n29nb6/Pw8rawDMm5ubhbJeH5+Xk3YXqFW3O0J3923rVjNDjFKQOJ+ewLJEerWooIUNzpvEvknyt+MJUEacgK5FL67b+dglSAFlPiIrLu7uy+LxZRWkf8fsSRIPF6Sgz32bZUgJY3I3jeDtdHeFohh2kYQQ0MDt0k+H5x7fX097fwNA+Ubia2n/V6y75so+3wjWcOCnlisVZv4qXnVIZ4TZGLnqbH8Hvk8F5fq21YsChLhlSjEVCDHeg+aLllnUrhm94hIs0bXv70IUszqMzmMyDXFhMJ3RFNJzN/820cy/1sFyY9Yo7zmBAm9GPhKbmDw5DY3gID7DKHz/NZc5/oWftUCOHG2chYs9W0rFgUJiFZcD22hFciUaAjhR7E9pLAQ36LuZSqrAPnvCTJ+W1R/frd5ybXW1ROLtWqj3tZPjTPKJejFIIzWpzgRSw94cE4N+PeI61ww6htbdnw4Q/jsRv95SU2p8atYJcgIqodRYRUK5GMkRlgqrO4hTUxrGhMCe8jnRu/hbxS3rcvvlgNrbe1qzFlP9Z1YI7QxiKCXmxhzflwebV7s6626pm+49YzECCP+zsWiIDMpo4AKm5tWQMQcgbBUWG8PUQQnvhuhJ8oIcoRR09uGtWIBa9UmDSQY/nIzxbd/53JpY4xyW+LTXh3++JFPsKZvBr3W10NqanM8F4uCXGro0rQiId8yayatklZRi0ZUJRxGt3ia0YoV0cnHfutv6yu7J56vChK2vrITo+bBb2u/1Df1OCP+HBJv1LetWBRk7/qvyA3au50k6WyKQ6QCWoJBI4hqhEpy+w3Jf69xgdie2IvFPiQSH3/8WMt+rTs2cvCopdpEfHIDscSsefvX3+L0IIYztbniJC64HcWtr9+K9EMe/Divh3xXxC6cVMhPXbERCyc927Zv7Of0soRFQSpe0DlIoLWpTYbctC0xgUbMxXE2TYEIwro4c2c1Rly2HrGqKOznFueTb/4qsWz8HRv7rY2BSE7WxfC7zdtaL1/2amn3/a61jgYvSIzkMDpjv82DrfUMRXiZG/bqI3HPxawgQ2htXg8IR1iK2AoTiIhzz38HkPwVYn8CeCTGCkLSwx63e+zbrCBNhwlYA4W3r5s1yAQvif7S+I2ClK+eBRFcK9KKvfVtKMh65a8FAhCy9ozXuFdp79vkp/EbBYl34tI7D8G0r+Qe9tS3xW/IAwcuiUOQB3aFQ5AHdoVDkAd2hUOQB3aFQ5AHdoRp+g+lPoEXFe2UxAAAAABJRU5ErkJggg==.
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q384

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  • A) data:image/png;base64,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.
  • B) data:image/png;base64,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.
  • C) data:image/png;base64,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.
  • D) data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWwAAAAcCAYAAABFyoXMAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAfxSURBVHhe7ZjrjRNLEEY3BWIgBXIgBGIgBTLgJxI/yIAIiIAESIAMyMH3HrTn6rul7p5Zr212TB2p5elXvbq6xvbDqWmapjkEXbCbpmkOQhfspmmag9AFu2ma5iBcrWB///799O7du9OPHz8eR9Z8/Pjx9P79+9PPnz8fR+6HjkXTvAy4iw8PD/81+tfk7du3/9P3XK5SsL9+/Xp68+bN6devX48j+yB4r1+/3l3YrkEe6CUK5i1iQYFnbTOHF+AtYsR5Xyp3zgG95i/t2qgPv+VWsT4H7/e1CvWsfnBHL3EeFz9RDH716tWTC5RYqM7dfwkuVQBvEQsT4aVekOa2ZKHgmfy4FvlysGBTrK+Vj9wDZH/79u1x5OlYUPm8FqP68WILNj8Bvnz58tg7D76RXjPRtkA3ifdcbhWLUYI023A+9wRF89Z5cMtv2Bbb5/wCv1XBrvWDsRdXsD28/ClwDhS5P1mA+L/5uYX2lrHogv10uFD3VrD/RB7csmBfglsU7FH9uHrBVsGHDx8eR06/f4qkUv9QZy1waDOjkFPljXSAQV39FcAcicFfDsrAHvekPsa0dXRJTXTmTbbVWzxlA2vZgy0W6FksRmuBtbTq855YaL+Xh5ZveGXYjIHxp7EfUoZJPVo3Q7+rDHAudeR5bM3DSn61HbsFOcriM2UgE6rsFcTBvRlrY5Uwn3JtoE5wPH1e+ZRoz0hGzuU4MJfnm/EUxpyvMrTPGIJ3aAZryX9+PYo6cizxzLxzeaepS94r+rMYgXpGfvrliHla+rQCfe6b1Y9RXpzDUgLBy8Mx8YSg0efQAKNqQgABxfmR0fRr8FZBFWyjqRu9Hja61Mc4drOuvnCABCB51GV/hsmhXOBzbyy0BR2skdn6PbEwrl4SfE8/GVfXSF7aDTnHvrQTG0d2Anq1AbQLedpEc422sG5rHlbyAbv0I31mnHVpN+eQfWR7nsBz6kq0F1KO9tDEMWGtctNn1+jzlk8jmKs209dWQLb2Mpe6Z6Teah+20U8dq9hxT5ivcgC7Vv6xnvsH3NO8h/SRzaf+jRjphVoHkKGuFXWf/UrNg3NZSshkJBgesMbhEAYKRq2C5eG6n/5oPfOjoApvQoKCTcLPkLQFTBzXkVSZSBx41YMPyNqCl0MmFzrSl61YZGzBJK5sxQLQlX65x4suWSBSHrrzwuWzZ17bCNbmXsBH/VR/4hnB1vyW/Hyu1Lkaf57TP1uNIRBv5kbUuaqn+lj79Y5Uu1fUPEB29qHmE/Ps24O25n7tzXPJM1tRdXOn8k4n6qnzyMj7im7ajOo/1Jjv5Sn1o+bFuSwloMRvrQRBpRhI4DAsA5jrZ1Bo/X8HmaMLMQpqQgLXQ0FufSPWhKiHyVxNLHzKPTOqfbws6sGtYuFLB4hB9Ue2YgHVD/cYWy+a8a7yeHY/83n5Us4WrM29gE5la0eStm/Nb8nXb1vaXQsf+7KPjFWMK6knbcJexqSeRdVbfa7ns/KpUvOg9kH52sw861Zo4yh/qjzIM1nBXbO4sT9lVJir96naAuhdyTGeuWcUpz2M9s3qB2PofS5LCTiucwaLT8Y5lHQaXL8ChyhuvJ1miWJQZ29b5nIvxa/q9TDRIwQ3i3q9xKM35gjXoQPwu/qyFQtl4COxnPm6FQtAdyaOe7CvJvUoycFEr344vgfk4ktC3xiPYvKU+S35oo8pizW5ru7jeZaPK4gPeownMkY+aE+dqz7PzmfkU6XmgbawV6p81q/8rutn/cwR/E07ZnBvqSfegRXM11/Q6My/H7RldVewO+2Hmht7qftW9WOUF+ewlKBzBNXCh4H0a/DAgPE5A8PZ75t1RE28CnPu59Bdz0FpVz3MDCZrTBL3MW7hx37XjDAuzKN7lGx7YsE8fqz+K9uKBdQ12odu7fBCWSBYkyCDs62+MF79mF0u1+blTV3qdl7b9s5vycd+7XSv1MuFD/aRq+6MC+Ppt7heiH21UVjH2Az1SvV55VMFPTVXWJ9jrMk4MLeyT536W+NU58F7tQUy2Mt6fZyhnejxvrAv64j3N+tARZ3aD6xFPvtoyEl/0Muein6yB3mr+lFl2E879jA//X8ZHQaGUHBnkAyrBMBACqkvgBHIX8nAHmQQLA4PO+mj2yDVw2Sc9azzwLHBMfWhm7GVfcaFtatiuxUL5rFzxVYs2I8tNmKTfeKda/I5z1WfRgk00jEDW3NtytO2mQ1b87CSzxxnV+eIs2M8g7poUmXP4s542ui6un80ZmN/nUub7LNm5FMl19C0CXJc/yHHsWdG+prPnz59+u+Zhr05j01buG8L7jJr0y/kUySF2HCXuTOz+8sa5GQcqQ3mCDJTB9BHbuUp9YN55Iv92XnOWBbsczBo+XZJONDVAVEAcXi2/0isYsGBkiQrP+8pFmBBmrE1f0TwiZdhpRaFvxFis3pRXINRwd6CL6mzb+x7qQX7XK5yOzgI3jRZaHjeKta+sWZvxyMyigXJslWs7zUWf1PB9ldLLdj0b12oXhp8M/4TMXhqwb7UWb3ogg0EhJ8xFBx/Jqz+PvAAR99Gjo6x+Pz58+9Dw89Vsb7HWJiwturb1vxR8SWUjbvwt8I31fwL4dZYsG17C/e5+FeL7bncz9eZpmmaO6cLdtM0zUHogt00TXMQumA3TdMchC7YTdM0B6ELdtM0zUHogt00TXMQumA3TdMchC7YTdM0h+B0+gddfy867C6mawAAAABJRU5ErkJggg==.
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q385

If the solid is revolved around the y-axis and generates a solid with a circular cross section of radius g(y) at y. Then the area of this cross section is

  • A) $\pi \left[ {g(y)} \right]$
  • B) $\pi {\left[ {g(y)} \right]^2}$
  • C) $\pi r{\left[ {g(y)} \right]^3}$
  • D) ${\left[ {g(y)} \right]^2}$
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q386

If f(x)= x and g(x)=x-1are integrable functions over the interval [a, b] for all xϵ[a, b], then which of the following expressions is true for f and g?

  • A) $$\int\limits_a^b {f(x)dx} \leqslant \int\limits_a^b {g(x)dx}$$
  • B) $$\int\limits_a^b {f(x)dx} \geqslant \int\limits_a^b {g(x)dx}$$
  • C) $$\int\limits_a^b {f(x)dx} > \int\limits_a^b {g(x)dx}$$
  • D) $$\int\limits_a^b {f(x)dx} < \int\limits_a^b {g(x)dx}$$
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
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