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The dataset generation failed
Error code:   DatasetGenerationError
Exception:    ArrowInvalid
Message:      JSON parse error: Invalid value. in row 0
Traceback:    Traceback (most recent call last):
                File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/packaged_modules/json/json.py", line 160, in _generate_tables
                  df = pandas_read_json(f)
                File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/packaged_modules/json/json.py", line 38, in pandas_read_json
                  return pd.read_json(path_or_buf, **kwargs)
                File "/src/services/worker/.venv/lib/python3.9/site-packages/pandas/io/json/_json.py", line 791, in read_json
                  json_reader = JsonReader(
                File "/src/services/worker/.venv/lib/python3.9/site-packages/pandas/io/json/_json.py", line 905, in __init__
                  self.data = self._preprocess_data(data)
                File "/src/services/worker/.venv/lib/python3.9/site-packages/pandas/io/json/_json.py", line 917, in _preprocess_data
                  data = data.read()
                File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/utils/file_utils.py", line 826, in read_with_retries
                  out = read(*args, **kwargs)
                File "/usr/local/lib/python3.9/codecs.py", line 322, in decode
                  (result, consumed) = self._buffer_decode(data, self.errors, final)
              UnicodeDecodeError: 'utf-8' codec can't decode byte 0x89 in position 0: invalid start byte
              
              During handling of the above exception, another exception occurred:
              
              Traceback (most recent call last):
                File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/builder.py", line 1854, in _prepare_split_single
                  for _, table in generator:
                File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/packaged_modules/json/json.py", line 163, in _generate_tables
                  raise e
                File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/packaged_modules/json/json.py", line 137, in _generate_tables
                  pa_table = paj.read_json(
                File "pyarrow/_json.pyx", line 308, in pyarrow._json.read_json
                File "pyarrow/error.pxi", line 154, in pyarrow.lib.pyarrow_internal_check_status
                File "pyarrow/error.pxi", line 91, in pyarrow.lib.check_status
              pyarrow.lib.ArrowInvalid: JSON parse error: Invalid value. in row 0
              
              The above exception was the direct cause of the following exception:
              
              Traceback (most recent call last):
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 1420, in compute_config_parquet_and_info_response
                  parquet_operations = convert_to_parquet(builder)
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 1052, in convert_to_parquet
                  builder.download_and_prepare(
                File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/builder.py", line 924, in download_and_prepare
                  self._download_and_prepare(
                File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/builder.py", line 1000, in _download_and_prepare
                  self._prepare_split(split_generator, **prepare_split_kwargs)
                File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/builder.py", line 1741, in _prepare_split
                  for job_id, done, content in self._prepare_split_single(
                File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/builder.py", line 1897, in _prepare_split_single
                  raise DatasetGenerationError("An error occurred while generating the dataset") from e
              datasets.exceptions.DatasetGenerationError: An error occurred while generating the dataset

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language
string
country
string
license
string
file_name
string
source
string
level
string
category_en
string
question
string
options
sequence
original_question_num
int64
category_original_lang
string
image_png
string
image_type
string
image_information
string
parallel_question_id
null
answer
int64
en
India
Education and Research
ae_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ae_2022.pdf
Post Graduate Entrance Exam (GATE)
Aerospace Engineering
Given below can be assembled to get the shape that is shown above using each piece only once without overlapping with each other? (rotation and translation operations may be used)
[ "ae_question_5_0.png", "ae_question_5_1.png", "ae_question_5_2.png", "ae_question_5_3.png" ]
5
एयरोस्पेस इंजीनियरिंग
ae_question_5.png
diagram
essential
null
1
en
India
Education and Research
ae_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ae_2022.pdf
Post Graduate Entrance Exam (GATE)
Aerospace Engineering
Four cities P, Q, R and S are connected through one-way routes as shown in the figure. The travel time between any two connected cities is one hour. The boxes beside each city name describe the starting time of first train of the day and their frequency of operation. For example, from city P, the first trains of the day start at 8 AM with a frequency of 90 minutes to each of R and S. A person does not spend additional time at any city other than the waiting time for the next connecting train. If the person starts from R at 7 AM and is required to visit S and return to R, what is the minimum time required?
[ "6 hours 30 minutes", "3 hours 45 minutes", "4 hours 30 minutes", "5 hours 15 minutes" ]
9
एयरोस्पेस इंजीनियरिंग
ae_question_9_0.png
diagram
essential
null
0
en
India
Education and Research
ae_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ae_2022.pdf
Post Graduate Entrance Exam (GATE)
Aerospace Engineering
A convergent nozzle fed from a constant pressure, constant temperature reservoir, is discharging air to atmosphere at 1 bar (absolute) with choked flow at the exit (marked as 𝑄). Flow through the nozzle can be assumed to be isentropic. If the exit area of the nozzle is increased while all the reservoir parameters and ambient conditions remain the same, then at steady state:
[ "the nozzle will remain choked", "the nozzle will be un-choked", "the Mach number at section P will increase", "the Mach number at section P will decrease" ]
44
एयरोस्पेस इंजीनियरिंग
ae_question_44_0.png
diagram
essential
null
0
en
India
Education and Research
ae_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ae_2022.pdf
Post Graduate Entrance Exam (GATE)
Aerospace Engineering
A horizontal load 𝐹 is applied at point R on a two-member truss, as shown in the figure. Both the members are prismatic with cross-sectional area, 𝐴o , and made of the same material with Young’s modulus 𝐸. The horizontal displacement of point R is:
[ "0", "F l / E Ao", "√2 F l / E Ao", "2 F l / E Ao" ]
41
एयरोस्पेस इंजीनियरिंग
ae_question_4_0.png
diagram
essential
null
2
en
India
Education and Research
ae_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ae_2022.pdf
Post Graduate Entrance Exam (GATE)
Aerospace Engineering
Equal sized circular regions are shaded in a square sheet of paper of 1 cm side length. Two cases, case M and case N, are considered as shown in the figures below. In the case M, four circles are shaded in the square sheet and in the case N, nine circles are shaded in the square sheet as shown. What is the ratio of the areas of unshaded regions of case M to that of case N?
[ "2:3", "1:1", "3:2", "2:1" ]
10
एयरोस्पेस इंजीनियरिंग
ae_question_10.png
diagram
essential
null
1
en
India
Education and Research
ae_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ae_2022.pdf
Post Graduate Entrance Exam (GATE)
Aerospace Engineering
Consider steady, two-dimensional, incompressible flow over a non-porous flat plate as shown in the figure. For the control volume PQRS, the speed, 𝑢∞ , at section PQ is uniform and the speed at section RS is given by 𝑢(𝑦)=𝐴o (y/h)^𝑛 , where 𝑛 is a positive integer. The value of 𝐴o for which the flow through section PS will vanish is:
[ "𝑢∞ / (𝑛+1)", "𝑢∞ (𝑛+1)", "𝑢∞ / (𝑛-1)", "𝑢∞ (𝑛-1)" ]
16
एयरोस्पेस इंजीनियरिंग
ae_question_16.png
diagram
essential
null
1
en
India
Education and Research
ae_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ae_2022.pdf
Post Graduate Entrance Exam (GATE)
Aerospace Engineering
Consider the velocity distribution, 𝑢(𝑦) shown in the figure. For two adjacent fluid layers L1 and L2, the viscous force exerted by L1 on L2 is
[ "to the right", "to the left", "vertically upwards", "vertically downwards" ]
17
एयरोस्पेस इंजीनियरिंग
ae_question_17.png
diagram
essential
null
1
en
India
Education and Research
ae_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ae_2022.pdf
Post Graduate Entrance Exam (GATE)
Aerospace Engineering
A beam with a symmetrical T-shaped cross-section, as shown in the figure, is subjected to pure bending. The maximum magnitude of the normal stress is realised:
[ "only at the top fibres of the cross-section", "only at the bottom fibres of the cross-section", "both at the top and bottom fibres of the cross-section", "only at the centroidal fibres of the cross-section" ]
20
एयरोस्पेस इंजीनियरिंग
ae_question_20.png
diagram
essential
null
1
en
India
Education and Research
ae_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ae_2022.pdf
Post Graduate Entrance Exam (GATE)
Aerospace Engineering
The closed thin-walled rectangular channel shown in figure (i) is opened by introducing a sharp cut at the center of the bottom edge, as shown in figure (ii). Which one of the following statements is correct?
[ "Centroids of (i) and (ii) coincide while shear centers do not", "Shear centers of (i) and (ii) coincide while centroids do not", "Both centroids and shear centers of (i) and (ii) coincide", "Neither centroids nor shear centers of (i) and (ii) coincide" ]
22
एयरोस्पेस इंजीनियरिंग
ae_question_22.png
diagram
essential
null
0
en
India
Education and Research
ae_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ae_2022.pdf
Post Graduate Entrance Exam (GATE)
Aerospace Engineering
A three-member truss is simply supported at Q and R, and loaded at P by a horizontal force 𝐹 as shown. The force in QR is
[ "0", "𝐹 (tensile)", "𝐹/√2 (compressive)", "√2 𝐹 (tensile)" ]
21
एयरोस्पेस इंजीनियरिंग
ae_question_21.png
diagram
essential
null
1
en
India
Education and Research
ag_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ag_2022.pdf
Post Graduate Entrance Exam (GATE)
Agricultural Engineering
What is the minimum number of doors that need to be opened in order to go from point P to point Q?
[ "4", "3", "2", "1" ]
5
कृषि अभियांत्रिकी
ag_question_5_0.png
diagram
essential
null
2
en
India
Education and Research
ag_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ag_2022.pdf
Post Graduate Entrance Exam (GATE)
Agricultural Engineering
A game consists of spinning an arrow around a stationary disk as shown below. When the arrow comes to rest, there are eight equally likely outcomes. It could come to rest in any one of the sectors numbered 1, 2, 3, 4, 5, 6, 7 or 8 as shown. Two such disks are used in a game where their arrows are independently spun. What is the probability that the sum of the numbers on the resulting sectors upon spinning the two disks is equal to 8 after the arrows come to rest?
[ "1/16", "5/64", "3/32", "7/64" ]
7
कृषि अभियांत्रिकी
ag_question_7.png
diagram
essential
null
3
en
India
Education and Research
ag_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ag_2022.pdf
Post Graduate Entrance Exam (GATE)
Agricultural Engineering
Match the following reactants in Column I with the most appropriate purpose used in processing as mentioned in Column II
[ "I-P, II-S, III-Q, IV-R", "I-R, II-Q, III-S, IV-P", "I-P, II-Q, III-S, IV-R", "I-R, II-S, III-Q, IV-P" ]
46
कृषि अभियांत्रिकी
ag_question_46.png
table
essential
null
3
en
India
Education and Research
ar_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ar_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Architecture and Planning
A block with a trapezoidal cross-section is placed over a block with rectangular cross section as shown above. Which one of the following is the correct drawing of the view of the 3D object as viewed in the direction indicated by an arrow in the above figure?
[ "A", "B", "C", "D" ]
5
वास्तुकला और योजना
ar_question_5.png
diagram
essential
null
0
en
India
Education and Research
ar_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ar_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Architecture and Planning
The following two-dimensional visual composition represents:
[ "Interlocking", "Intersecting", "Interlacing", "Interpenetrating" ]
16
वास्तुकला और योजना
ar_question_16.png
diagram
essential
null
2
en
India
Education and Research
ar_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ar_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Architecture and Planning
Match the aspects in Group I with the corresponding items in Group II.
[ "P-4, Q-5, R-2, S-3", "P-5, Q-1, R-4, S-2", "P-2, Q-4, R-5, S-1", "P-2, Q-5, R-4, S-3" ]
30
वास्तुकला और योजना
ar_question_30.png
diagram
essential
null
3
en
India
Education and Research
ar_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ar_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Architecture and Planning
Match the States in Group I with the corresponding Vernacular Building Typologies in Group II
[ "P-4, Q-5, R-3, S-2", "P-5, Q-1, R-2, S-4", "P-5, Q-3, R-1, S-4", "P-4, Q-3, R-1, S-2" ]
31
वास्तुकला और योजना
ar_question_31.png
diagram
essential
null
3
en
India
Education and Research
ar_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ar_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Architecture and Planning
Match the examples in Group I with their corresponding typologies in Group II.
[ "P-2, Q-1, R-4, S-5", "P-4, Q-2, R-5, S-3", "P-3, Q-1,R-2, 8-5", "P-3, Q-5, R-1, S-4" ]
32
वास्तुकला और योजना
ar_question_32.png
diagram
essential
null
2
en
India
Education and Research
ar_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ar_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Architecture and Planning
Match the Place(s)/Event(s) in Group I with the corresponding Heritage Significance/Characteristics in Group II.
[ "P-1, Q-4, R-3, S-2", "P-3, Q-4, R-5, S-1", "P-2, Q-3, R-4, S-1", "P-3, Q-2, R-5, S-4" ]
33
वास्तुकला और योजना
ar_question_33.png
diagram
essential
null
1
en
India
Education and Research
ar_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ar_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Architecture and Planning
Match the Urban Design Concepts in Group I with their corresponding Proponents in Group IT.
[ "P-1, Q-2, R-3, S-4", "P-4, Q-1, R-2, S-3", "P-4, Q-3, R-5, S-1", "P-5, Q-4, R-2, S-3" ]
34
वास्तुकला और योजना
ar_question_34.png
diagram
essential
null
1
en
India
Education and Research
ar_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ar_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Architecture and Planning
In the following sketch, P, Q, R, and S refer to elements of an urban space. Identify P, Q, R, S.
[ "P-Path, Q-Vista, R- Edge, S-Landmark", "P-Vista, Q-Edge, R- Landmark, S-Path", "P-Landmark, Q-Vista, R- Path, S-Edge", "P-Landmark, Q-Edge, R- Path, S-Vista" ]
35
वास्तुकला और योजना
ar_question_35.png
diagram
essential
null
3
en
India
Education and Research
ar_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ar_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Architecture and Planning
As per the URDPFI Guidelines 2015, match the type of Health Care Facilities in Group I to the corresponding population served per unit in Group II.
[ "P-1, Q-2, R-3, S-4", "P-3, Q-1, R-5, 8-4", "P-4, Q-3, R-5, S-2", "P-5, Q-1, R-2, 8-3" ]
36
वास्तुकला और योजना
ar_question_36.png
diagram
essential
null
1
en
India
Education and Research
ar_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ar_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Architecture and Planning
Match the plan forms in Group I with their corresponding project names in Group II.
[ "P-3, Q-5, R-4, S-2", "P-4, Q-2, R-1, S-5", "P-1, Q-2, R-3, S-4", "P-3, Q-5, R-1, S-2" ]
37
वास्तुकला और योजना
ar_question_37.png
diagram
essential
null
3
en
India
Education and Research
ar_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ar_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Architecture and Planning
Match the Biosphere reserves in India in Group I with their corresponding locations in Group II.
[ "P-2, Q-1, R-4, S-3", "P-2, Q-3, R-1, 8-5", "P-3, Q-1, R-4, 8-5", "P-4, Q-5, R-1, S-3" ]
38
वास्तुकला और योजना
ar_question_38.png
diagram
essential
null
1
en
India
Education and Research
ar_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ar_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Architecture and Planning
An Ultrasonic Pulse Velocity (UPV) test was done on a hardened concrete element using a direct transmission method as per IS 516 (Part 5/Section 1): 2018. The distance between the transducer and receiver was 600 mm. The time taken for the induced wave to travel this distance is measured as 0.18 milliseconds. Based on the following Table, the concrete quality grading is:
[ "Excellent", "Good", "Doubtful", "Poor" ]
52
वास्तुकला और योजना
ar_question_52.png
diagram
essential
null
2
en
India
Education and Research
ar_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ar_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Architecture and Planning
Match the illustrations of Arch Types in Group I with their corresponding names in Group II.
[ "P-2, Q-3, R-1, S-4", "P-3, Q-1, R-2, S-5", "P-3,Q-2, R-5,S-4", "P-5, Q-4, R-3, S-1" ]
57
वास्तुकला और योजना
ar_question_57.png
diagram
essential
null
1
en
India
Education and Research
ar_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ar_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Architecture and Planning
Match the architectural projects in Group I with their corresponding architects in Group II.
[ "P-4, Q-5, R-2, S-3", "P-4, Q-1, R-5, S-2", "P-2, Q-4, R-5, S-1", "P-3, Q-5, R-1, S-2" ]
58
वास्तुकला और योजना
ar_question_58.png
diagram
essential
null
0
en
India
Education and Research
ar_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ar_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Architecture and Planning
Match the structural joining systems in Group I with the corresponding materials for which they are commonly used in Group II.
[ "P-4, Q-1, R-2, S-5", "P-3, Q-5, R-1, S-2", "P-2, Q-3, R-5, S-1", "P-4, Q-1, R-5, 8-3" ]
59
वास्तुकला और योजना
ar_question_59.png
diagram
essential
null
3
en
India
Education and Research
ar_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ar_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Architecture and Planning
Match the Instruments in Group I with the corresponding climate parameters in Group II.
[ "P-3, Q-5, R-1, S-2", "P-3, Q-4, R-5, S-2", "P-5, Q-3, R-2, S-4", "P-1, Q-2, R-3, $-5" ]
60
वास्तुकला और योजना
ar_question_60.png
diagram
essential
null
0
en
India
Education and Research
ar_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ar_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Architecture and Planning
The shaded area in the following demand-supply graph is known as:
[ "Consumer Surplus", "Consumer Deficit", "Producer Surplus", "Producer Deficit" ]
67
वास्तुकला और योजना
ar_question_67.png
diagram
essential
null
0
en
India
Education and Research
ar_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ar_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Architecture and Planning
Identify the following traffic interchange.
[ "Directional", "Trumpet", "Clover-Leaf", "Diamond" ]
68
वास्तुकला और योजना
ar_question_68.png
diagram
essential
null
2
en
India
Education and Research
ar_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ar_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Architecture and Planning
Match the models in Group I with their corresponding applications in Group II.
[ "P-2, Q-1, R-5, S-4", "P-1, Q-5, R-2, S-3", "P-2, Q-3, R-5, S-4", "P-5, Q-3, R-4, S-2" ]
73
वास्तुकला और योजना
ar_question_73.png
diagram
essential
null
2
en
India
Education and Research
ar_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ar_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Architecture and Planning
Match the proponents in Group I with the corresponding theories in Group II.
[ "P-2, Q-4, R-3, S-5", "P-4, Q-2, R-5, S-1", "P-5, Q-4, R-2, S-1", "P-3, Q-5, R-2, S-4" ]
74
वास्तुकला और योजना
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Graduate Aptitude Test in Engineering (GATE)
Architecture and Planning
Match the Artists/Scientists in Group I with their corresponding contributions in Group II.
[ "P-4, Q-3, R-1, S-2", "P-4, Q-1, R-5, S-2", "P-5, Q-3, R-1, S-4", "P-4, Q-3, R-5, S-1" ]
75
वास्तुकला और योजना
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Graduate Aptitude Test in Engineering (GATE)
Architecture and Planning
In the conceptual diagram of the city given below, P, Q, R, and S refer to urban patterns. Among the choices given below, the correct association is:
[ "P-Satellite town, Q-Urban fringe, R-TOD, S-Central Business District", "P-Central Business District, Q-Satellite town, R-TOD, S-Urban fringe", "P-Urban fringe, Q-TOD, R-Satellite town, S-Central Business District", "P-Satellite town, Q-Central Business District, R-TOD, S-Urban fringe" ]
76
वास्तुकला और योजना
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Graduate Aptitude Test in Engineering (GATE)
Architecture and Planning
In the transportation network given below, P, Q, R, S, T, and U are the nodes and values mentioned on the links denote time in minutes. Which of the following options represent the minimum spanning tree?
[ "PQ, QR, QT, TS, SU", "PR, QR, RT, TU, SU", "PQ, QR, RT, TS, SU", "PQ, QR, RS, ST, TU" ]
78
वास्तुकला और योजना
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Graduate Aptitude Test in Engineering (GATE)
Biomedical Engineering
A function y(x) is defined in the interval [0, 1] on the x-axis as: Which one of the following is the area under the curve for the interval [0, 1] on the x-axis?
[ "5/6", "6/5", "13/6", "6/13" ]
2
जैव चिकित्सा इंजिनियरिंग
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Graduate Aptitude Test in Engineering (GATE)
Biomedical Engineering
A palindrome is a word that reads the same forwards and backwards. In a game of words, a player has the following two plates painted with letters. From the additional plates given in the options, which one of the combinations of additional plates would allow the player to construct a five-letter palindrome. The player should use all the five plates exactly once. The plates can be rotated in their plane.
[ "A", "B", "C", "D" ]
5
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Graduate Aptitude Test in Engineering (GATE)
Biomedical Engineering
A plot of land must be divided between four families. They want their individual plots to be similar in shape, not necessarily equal in area. The land has equally spaced poles, marked as dots in the below figure. Two ropes, R1 and R2, are already present and cannot be moved. What is the least number of additional straight ropes needed to create the desired plots? A single rope can pass through three poles that are aligned in a straight line.
[ "2", "4", "5", "3" ]
10
जैव चिकित्सा इंजिनियरिंग
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Graduate Aptitude Test in Engineering (GATE)
Biomedical Engineering
x(t) is a real continuous-time signal whose magnitude frequency response (|X (jω)|) is shown below. After sampling x(t) at 100 rad/s, the spectral point P is down-converted to ..... rad/s in the spectrum of the sampled signal.
[ "12.5", "25", "6.25", "37.5" ]
14
जैव चिकित्सा इंजिनियरिंग
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Graduate Aptitude Test in Engineering (GATE)
Biomedical Engineering
Discrete signals x[n] and y[n] are shown below. The cross-correlation rxy[0] is:
[ "2√2", "1/2√2", "1/2", "1/√2" ]
15
जैव चिकित्सा इंजिनियरिंग
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Graduate Aptitude Test in Engineering (GATE)
Biomedical Engineering
In the circuit diagram shown below, the logic gates operate with a supply voltage of 1 V. NAND and XNOR have 200 ps and 400 ps input-to-output delay, respectively. At time t = T, A(t) = 0, B(t) = 1 and Z(t) = 0. When the inputs are changed to A(t) = 1, B(t) = 0 at t = 2T, a 1 V pulse is observed at Z. The pulse width of the 1 V pulse is ..... ps.
[ "100", "200", "400", "600" ]
16
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Graduate Aptitude Test in Engineering (GATE)
Biomedical Engineering
Input bits X and Y are added by using the combinational logic as shown below. S represents the sum of the two bits. For a correct implementation of the sum, the signals D0, D1, D2, D3 are respectively:
[ "1, 0, 0, 1", "0, 1, 0, 1", "1, 0, 1, 1", "0, 1, 1, 0" ]
17
जैव चिकित्सा इंजिनियरिंग
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Biomedical Engineering
For the balanced Owen-bridge circuit shown in the figure, the values of Lₓ and Rₓ are:
[ "Lₓ=R₂R₃/C₃, Rₓ=R₂C₁/C₃", "Lₓ=R₂R₃C₁, Rₓ=R₂C₁/C₃", "Lₓ=R₂R₃C₁, Rₓ=R₂C₃/C₁", "Lₓ=R₂R₃C₃, Rₓ=R₂C₁C₃" ]
19
जैव चिकित्सा इंजिनियरिंग
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Biomedical Engineering
An input x(t) is applied to a system with a frequency transfer function given by H(jω) as shown below. The magnitude and phase response of the transfer function are shown below. If y(tₔ) = 0 for x(t) = u(t), the time tₔ (> 0) is .... μs.
[ "100 ln(2)", "10 ln(2)", "1000 ln(2)", "ln(2)" ]
38
जैव चिकित्सा इंजिनियरिंग
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Biomedical Engineering
The block diagram of a two-tap high-pass FIR filter is shown below. The filter transfer function is given by H(z) = Y(z)/X(z). If ratio of the maximum to minimum value of H(z) is 2 and |H(Z)|ₘₐₓ = 1, the coefficients β₀ and β₁ are respectively:
[ "0.75, —0.25", "0.67, 0.33", "0.60, —0.40", "—0.64, 0.36" ]
39
जैव चिकित्सा इंजिनियरिंग
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Graduate Aptitude Test in Engineering (GATE)
Biomedical Engineering
The block diagrams of an ideal system and a real system with their impulse responses are shown below. An auxiliary path is added to the delayed impulse response in the real system. For a unit impulse input (x(t) = δ(t)) to both systems, gain β is chosen such that y(4T) is same for both systems. The value of β is
[ "(e^(-3αT))*(1 - (e^(-2αT)))", "(-e^(-αT))*(1 - (e^(-3αT)))", "(-e^(-3αT))*(1 - (e^(-αT)))", "(e^(-2αT))*(1 - (e^(-2αT)))" ]
40
जैव चिकित्सा इंजिनियरिंग
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Graduate Aptitude Test in Engineering (GATE)
Biomedical Engineering
A filter is designed using opamps, resistors, and capacitors as shown below. Opamps are ideal with infinite gain and infinite bandwidth. If 𝑉ₒ(𝑠)/𝑉ᵢ(𝑠) is an all-pass transfer function, the value of resistor R2 is ______________ kΩ.
[ "1", "10", "5", "2" ]
41
जैव चिकित्सा इंजिनियरिंग
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bm_2022.pdf
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Graduate Aptitude Test in Engineering (GATE)
Biomedical Engineering
Consider the Einthoven’s triangle of frontal ECG for the 3 electrodes RA, LA and LL shown in the figure. The augmented lead vectors bisect the bipolar lead vectors. At the peak of R wave, the cardiac vector M points vertically downwards with |M| =5 mV. The voltages on leads I and II are ______________ mV and ______________ mV, respectively.
[ "0, 4.33", "2.17, 0", "0, 2.17", "4.33, 0" ]
43
जैव चिकित्सा इंजिनियरिंग
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Graduate Aptitude Test in Engineering (GATE)
Biomedical Engineering
The deltoid muscle connects the humerus to the shoulder blade and facilitates out stretching of the arm as shown in the figure. The humerus is connected to the shoulder blade with a ball and socket joint. Assume the equivalent weight (W) of the arm to be 30 N and acts vertically down at a horizontal distance of 30 cm. Assume that the deltoid muscle is connected to the humerus at a distance of 15 cm and makes an average angle of 20° with the horizontal. The magnitude of tension in the deltoid muscle is ______________ N.
[ "31.9", "63.8", "87.7", "175.4" ]
45
जैव चिकित्सा इंजिनियरिंग
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Graduate Aptitude Test in Engineering (GATE)
Biomedical Engineering
Based on the stress-strain curves of three different materials (X, Y, and Z) shown in the figure, which one of the following choices is CORRECT?
[ "X — Titanium, Y — Hydroxyapatite, Z — Polyethylene", "X — Hydroxyapatite, Y — Titanium, Z — Polyethylene", "X — Hydroxyapatite, Y — Polyethylene, Z — Titanium", "X— Polyethylene, Y — Titanium, Z — Hydroxyapatite" ]
48
जैव चिकित्सा इंजिनियरिंग
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Graduate Aptitude Test in Engineering (GATE)
Biotechnology
In the following diagram, the point R is the center of the circle. The lines PQ and ZV are tangential to the circle. The relation among the areas of the squares, PXWR, RUVZ and SPQT is
[ "Area of SPQT = Area of RUVZ = Area of PXWR", "Area of SPQT = Area of PX WR — Area of RUVZ", "Area of PXWR = Area of SPQT — Area of RUVZ", "Area of PXWR = Area of RUVZ — Area of SPQT" ]
5
जैव प्रौद्योगिकी
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Graduate Aptitude Test in Engineering (GATE)
Biotechnology
The above frequency chart shows the frequency distribution of marks obtained by a set of students in an exam. From the data presented above, which one of the following is CORRECT?
[ "mean > mode > median", "mode > median > mean", "mode > mean > median", "median > mode > mean" ]
8
जैव प्रौद्योगिकी
bt_question_8.png
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Biotechnology
In the square grid shown on the left, a person standing at P2 position is required to move to PS position. The only movement allowed for a step involves, “two moves along one direction followed by one move in a perpendicular direction”. The permissible directions for movement are shown as dotted arrows in the right. For example, a person at a given position Y can move only to the positions marked X on the right. Without occupying any of the shaded squares at the end of each step, the minimum number of steps required to go from P2 to P5 is:
[ "4", "5", "6", "7" ]
9
जैव प्रौद्योगिकी
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Graduate Aptitude Test in Engineering (GATE)
Biotechnology
The overall stoichiometry for an aerobic cell growth is given in the figure. What is the elemental composition formula of the biomass from the options?
[ "A", "B", "C", "D" ]
16
जैव प्रौद्योगिकी
bt_question_16.png
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bt_2022.pdf
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Graduate Aptitude Test in Engineering (GATE)
Biotechnology
Match the media component used in mammalian cell culture (Column I) with its respective role (Column II).
[ "P-3, Q-4, R-1, S-2", "P-3, Q-4, R-2, S-1", "P-4, Q-3, R-1, S-2", "P-4, Q-3, R-2, S-1" ]
37
जैव प्रौद्योगिकी
bt_question_37.png
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bt_2022.pdf
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Graduate Aptitude Test in Engineering (GATE)
Biotechnology
Match the cell type (Column I) with its function (Column II).
[ "P-1, Q-2, R-3, S-4", "P-1, Q-4, R-2, S-3", "P-4, Q-3, R-1, S-2", "P-4, Q-3, R-2, S-1" ]
38
जैव प्रौद्योगिकी
bt_question_38.png
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ce1_2022.pdf
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Graduate Aptitude Test in Engineering (GATE)
Civil Engineering
Consider the cross-section of a beam made up of thin uniform elements having thickness t (t << a) shown in the figure. The (x, y) coordinates of the points along the center-line of the cross-section are given in the figure. The coordinates of the shear center of this cross-section are:
[ "x=0, y=3a", "x=2a, y=2a", "x=-a, y=2a", "x=-2a, y=a" ]
16
सिविल इन्जिनियरिङ
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ce1_2022.pdf
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Graduate Aptitude Test in Engineering (GATE)
Civil Engineering
With respect to fluid flow, match the following in Column X with Column Y. Which one of the following combinations is correct?
[ "(P)— (II), (Q)- (IV), (R)- (I), (S)- (III)", "(P)— (III), (Q)— (IV), (R)-(I), (S)- (II)", "(P)— (IV), (Q)- (II), (R)- (I), (S)- (III)", "(P)— (II), (Q)— (IV), (R)- (III), (S)- (I)" ]
19
सिविल इन्जिनियरिङ
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Graduate Aptitude Test in Engineering (GATE)
Civil Engineering
A semi-circular bar of radius R m, in a vertical plane, is fixed at the end G, as shown in the figure. A horizontal load of magnitude P kN is applied at the end H. The magnitude of the axial force, shear force, and bending moment at point Q for Θ = 45°, respectively, are:
[ "P/√2 kN, P/√2 kN, and PR/√2 kNm", "P/√2 kN, P/√2 kN, and 0 kNm", "0 kN, P/√2 kN, and PR/√2 kNm", "P/√2 kN, 0 kN, and PR/√2 kNm" ]
37
सिविल इन्जिनियरिङ
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Graduate Aptitude Test in Engineering (GATE)
Civil Engineering
A weld is used for joining an angle section ISA 100 mm x 100 mm = 10 mm to a gusset plate of thickness 15 mm to transmit a tensile load. The permissible stress in the angle is 150 MPa and the permissible shear stress on the section through the throat of the fillet weld is 108 MPa. The location of the centroid of the angle is represented by Cᵧᵧ in the figure, where Cᵧᵧ = 28.4 mm. The area of cross-section of the angle is 1903 mm². Assuming the effective throat thickness of the weld to be 0.7 times the given weld size, the lengths L₁ and L₂ (rounded-off to the nearest integer) of the weld required to transmit a load equal to the full strength of the tension member are, respectively
[ "541 mm and 214 mm", "214 mm and 541 mm", "380 mm and 151 mm", "151 mm and 380 mm" ]
38
सिविल इन्जिनियरिङ
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ce1_2022.pdf
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Graduate Aptitude Test in Engineering (GATE)
Civil Engineering
The project activities are given in the following table along with the duration and dependency. Which one of the following combinations is correct?
[ "Total duration of the project = 22 days, Critical path is Q -> S", "Total duration of the project = 20 days, Critical path is Q -> T", "Total duration of the project = 22 days, Critical path is P -> T", "Total duration of the project = 20 days, Critical path is P -> R" ]
39
सिविल इन्जिनियरिङ
ce1_question_39.png
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ce1_2022.pdf
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Graduate Aptitude Test in Engineering (GATE)
Civil Engineering
The correct match between the physical states of the soils given in Group I and the governing conditions given in Group II is
[ "1-S, 2-P, 3-Q, 4-R", "1-Q, 2-S, 3-P, 4-R", "1-Q, 2-P, 3-R, 4-S", "1-S, 2-Q, 3-P, 4-R" ]
40
सिविल इन्जिनियरिङ
ce1_question_40.png
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ce1_2022.pdf
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Graduate Aptitude Test in Engineering (GATE)
Civil Engineering
Consider the four points P, Q, R, and S shown in the Greenshields fundamental speed-flow diagram. Denote their corresponding traffic densities by kP, kQ, kR, and kS, respectively. The correct order of these densities is:
[ "kP > kQ > kR > kS", "kS > kR > kQ > kP", "kQ > kR > kS > kP", "kQ > kR > kP > kS" ]
44
सिविल इन्जिनियरिङ
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ce2_2022.pdf
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Graduate Aptitude Test in Engineering (GATE)
Civil Engineering
For the picture shown above, which one of the following is the correct picture representing reflection with respect to the mirror shown as the dotted line?
[ "A", "B", "C", "D" ]
5
सिविल इन्जिनियरिङ
ce2_question_5.png
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Graduate Aptitude Test in Engineering (GATE)
Civil Engineering
An ant walks in a straight line on a plane leaving behind a trace of its movement. The initial position of the ant is at point P facing east. The ant first turns 72° anticlockwise at P, and then does the following two steps in sequence exactly FIVE times before halting. 1. moves forward for 10 cm. 2. turns 144° clockwise The pattern made by the trace left behind by the ant is:
[ "A", "B", "C", "D" ]
10
सिविल इन्जिनियरिङ
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Graduate Aptitude Test in Engineering (GATE)
Civil Engineering
Match all the possible combinations between Column X (Cement compounds) and Column Y (Cement properties). Which one of the following combinations is correct?
[ "i-P, ii-Q and T, iii-R and S", "i-Q and T, ii-P and S, iii-R", "i-P, ii-Q and R, iii-T", "i-T, ii-S, iii-P and Q" ]
15
सिविल इन्जिनियरिङ
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ce2_2022.pdf
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Graduate Aptitude Test in Engineering (GATE)
Civil Engineering
Consider a beam PQ fixed at P, hinged at Q, and subjected to a load F as shown in figure (not drawn to scale). The static and kinematic degrees of indeterminacy, respectively, are
[ "2 and 1", "2 and 0", "1 and 2", "2 and 2" ]
16
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Graduate Aptitude Test in Engineering (GATE)
Civil Engineering
Stresses acting on an infinitesimal soil element are shown in the figure (with σz > σₓ ). The major and minor principal stresses are σ₁ and σ₃, respectively. Considering the compressive stresses as positive, which one of the following expressions correctly represents the angle between the major principal stress plane and the horizontal plane?
[ "A", "B", "C", "D" ]
18
सिविल इन्जिनियरिङ
ce2_question_18.png
diagram
essential
null
0
en
India
Education and Research
ce2_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce2_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Civil Engineering
Match Column X with Column Y. Which one of the following combinations is correct?
[ "P-IV, Q-III, R-V, S-I, T-II", "P-III, Q-IV, R-V, S-I, T-II", "P-IV, Q-III, R-II, S-I, T-V", "P-III, Q-IV, R-I, S-V, T-II" ]
19
सिविल इन्जिनियरिङ
ce2_question_19.png
table
essential
null
0
en
India
Education and Research
ce2_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce2_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Civil Engineering
Match the following attributes of a city with the appropriate scale of measurements. Which one of the following combinations is correct?
[ "P-I, Q-III, R-IV, S-II", "P-II, Q-I, R-IV, S-III", "P-II, Q-III, R-IV, S-I", "P-I, Q-II, R-III, S-IV" ]
23
सिविल इन्जिनियरिङ
ce2_question_23.png
table
essential
null
0
en
India
Education and Research
ce2_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce2_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Civil Engineering
An undamped spring-mass system with mass m and spring stiffness k is shown in the figure. The natural frequency and natural period of this system are ω rad/s and T s, respectively. If the stiffness of the spring is doubled and the mass is halved, then the natural frequency and the natural period of the modified system, respectively, are
[ "2ω rad/s and T/2 s", "ω/2 rad/s and 2T s", "4ω rad/s and T/4 s", "ω rad/s and T s" ]
37
सिविल इन्जिनियरिङ
ce2_question_37.png
diagram
essential
null
0
en
India
Education and Research
ce2_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce2_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Civil Engineering
For the square steel beam cross-section shown in the figure, the shape factor about Z — Z axis is S and the plastic moment capacity is Mp. Consider yield stress fy = 250 MPa and a = 100 mm. The values of S and Mp (rounded-off to one decimal place) are
[ "S = 2.0, Mp = 58.9 kN-m", "S = 2.0, Mp = 100.2 kN-m", "S = 1.5, Mp = 58.9 kN-m", "S = 1.5, Mp = 100.2 KN-m" ]
38
सिविल इन्जिनियरिङ
ce2_question_38.png
diagram
essential
null
0
en
India
Education and Research
ce2_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce2_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Civil Engineering
A soil sample is underlying a water column of height h₁, as shown in the figure. The vertical effective stresses at points A, B, and C are σa', σb', and σc', respectively. Let γsat and γ' be the saturated and submerged unit weights of the soil sample, respectively, and γw be the unit weight of water. Which one of the following expressions correctly represents the sum (σa' + σb' + σc') ?
[ "(2h₂ + h₃)γ'", "(h₁ + h₂ +h₃)γ'", "(h₂ + h₃)(γsat - γw)", "(h₁ + h₂ + h₃)γsat" ]
41
सिविल इन्जिनियरिङ
ce2_question_41.png
diagram
essential
null
0
en
India
Education and Research
ch_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Chemical Engineering
The value of the real variable 𝑥≥0, which maximizes the function f(x) is
[ "e", "0", "1/e", "1" ]
14
रासायनिक अभियांत्रिकी
ch_question_14.png
diagram
essential
null
0
en
India
Education and Research
ch_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Chemical Engineering
A control system on the jacket side of a reactor is shown in the figure. Pressurized water flows through the jacket to cool the reactor. The heated water flashes in the boiler. The exothermic reaction heat thus generates steam. Fresh boiler feed water (BFW) is added to make-up for the loss of water as steam. Assume that all control valves are air-to-open. The controller action, ‘direct’ or ‘reverse’, is defined with respect to the controller. Select the option that correctly specifies the action of the controllers.
[ "PC: Reverse, LC: Direct, TC: Reverse", "PC: Direct, LC: Reverse, TC: Direct", "PC: Direct, LC: Reverse, TC: Reverse", "PC: Reverse, LC: Direct, TC: Direct" ]
21
रासायनिक अभियांत्रिकी
ch_question_21.png
diagram
essential
null
2
en
India
Education and Research
ch_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Chemical Engineering
Liquid flowing through a heat exchanger (HX) is heated. A bypass stream is provided to control the temperature of the heated exit stream. From the given plumbing options, the one that provides the most effective temperature control for large disturbances while avoiding vaporization in the heat exchanger is
[ "A", "B", "C", "D" ]
22
रासायनिक अभियांत्रिकी
ch_question_22.png
diagram
essential
null
2
en
India
Education and Research
ch_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Chemical Engineering
The appropriate feedforward compensator, 𝐺ff, in the shown block diagram is
[ "𝐺ff = (2/3) * (8s + 1)/(5s + 1)", "𝐺ff = (-2/3) * (8s + 1)/(5s + 1)", "𝐺ff = (3/2) * ((5s + 1)/(8s + 1)) * e⁻ˢ", "𝐺ff = (-3/2) * ((5s + 1)/(8s + 1)) * e⁻ˢ" ]
23
रासायनिक अभियांत्रिकी
ch_question_23.png
diagram
essential
null
0
en
India
Education and Research
ch_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Chemical Engineering
Choose the option that correctly pairs the given measurement devices with the quantities they measure.
[ "I-E II-C III-D IV-B V-A", "I-C II-D III-A IV-B V-C", "I-C II-D III-E IV-A V-D", "I-D II-C III-A IV-E V-C" ]
24
रासायनिक अभियांत्रिकी
ch_question_24.png
table
essential
null
1
en
India
Education and Research
ch_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Chemical Engineering
In an enzymatic reaction, an inhibitor (I) competes with the substrate (S) to bind with the enzyme (E), thereby reducing the rate of product (P) formation. The competitive inhibition follows the reaction mechanism shown below. Let [S] and [I] be the concentration of S and I, respectively, and 𝑟(cid:3046) be the rate of consumption of S. Assuming pseudo-steady state, the correct plot of 1/-rₛ vs 1/[s] is
[ "A", "B", "C", "D" ]
27
रासायनिक अभियांत्रिकी
ch_question_27.png
diagram
essential
null
0
en
India
Education and Research
ch_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Chemical Engineering
𝑁 moles of an ideal gas undergo a two-step process as shown in the figure. Let 𝑃, 𝑉 and 𝑇 denote the pressure, volume and temperature of the gas, respectively. The gas, initially at state-1 (𝑃₁, 𝑉₁, 𝑇₁), undergoes an isochoric (constant volume) process to reach state-A, and then undergoes an isobaric (constant pressure) expansion to reach state-2 (𝑃₂, 𝑉₂, 𝑇₂). For an ideal gas, 𝐶ₚ – 𝐶ᵥ = 𝑁𝑅, where 𝐶ₚ and 𝐶ᵥ are the heat capacities at constant pressure and constant volume, respectively, and assumed to be temperature independent. The heat gained by the gas in the two-step process is given by
[ "𝑃₂(𝑉₂ - 𝑉₁) + 𝐶ᵥ(𝑇₂ - 𝑇₁)", "𝑃₂(𝑉₂ - 𝑉₁) + 𝐶ₚ(𝑇₂ - 𝑇₁)", "𝐶ₚ(𝑇₂ - 𝑇₁) + 𝐶ᵥ(𝑇₂ - 𝑇₁)", "𝑃₂𝑉₂ - 𝑃₁𝑉₁" ]
37
रासायनिक अभियांत्रिकी
ch_question_37.png
diagram
essential
null
0
en
India
Education and Research
ch_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Chemical Engineering
A horizontal cylindrical water jet of diameter 𝐷₁ = 2 cm strikes a vertical solid plate with a hole of diameter 𝐷₂ = 1 cm, as shown in the figure. A part of the jet passes through the hole and the rest is deflected along the plate. The density of water is 1000 kg m-3. If the speed of the jet is 20 m s-1, the magnitude of the horizontal force, in N, required to hold the plate stationary is
[ "30ℼ", "10ℼ", "20ℼ", "5ℼ" ]
38
रासायनिक अभियांत्रिकी
ch_question_38.png
diagram
essential
null
0
en
India
Education and Research
ch_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Chemical Engineering
Consider a horizontal rod of radius 𝑎𝑅 (𝑎 < 1) in a stationary pipe of radius 𝑅. The rod is pulled coaxially at a constant velocity 𝑉 as shown in the figure. The annular region is filled with a Newtonian incompressible fluid of viscosity μ. The steady state fully developed axial velocity profile in the fluid is given by u(r) = V * (ln(r/R)/ln(𝑎)), where r is the radial coordinate. Ignoring end effects, the magnitude of the pulling force per unit rod length is
[ "ℼμV", "-2ℼμV/ln(𝑎)", "0", "-ℼμV/ln(𝑎)" ]
39
रासायनिक अभियांत्रिकी
ch_question_39.png
diagram
essential
null
1
en
India
Education and Research
ch_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Chemical Engineering
Match the product in Group-1 with the manufacturing process in Group-2. The correct combination is
[ "P-III, Q-I, R-IV, S-II", "P-IV, Q-I, R-II, S-III", "P-III, Q-IV, R-I, S-II", "P-I, Q-IV, R-II, S-III" ]
43
रासायनिक अभियांत्रिकी
ch_question_43.png
table
essential
null
2
en
India
Education and Research
cs_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/cs_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Computer Science and Information Technology
Which one of the following regular expressions correctly represents the language of the finite automaton given below?
[ "ab*bab* + ba*aba*", "(ab*b)*ab* + (ba*a)*ba*", "(ab*b + ba*a)*(a* + b*)", "(ba*a + ab*b)* (ab* + ba*)" ]
12
कंप्यूटर विज्ञान और सूचना प्रौद्योगिकी
cs_question_12.png
diagram
essential
null
3
en
India
Education and Research
cs_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/cs_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Computer Science and Information Technology
Consider the problem of reversing a singly linked list. To take an example, given the linked list below, the reversed linked list should look like in the figure. Which one of the following statements is TRUE about the time complexity of algorithms that solve the above problem in O(1) space?
[ "The best algorithm for the problem takes O(n) time in the worst case.", "The best algorithm for the problem takes O(n logn) time in the worst case.", "The best algorithm for the problem takes O(n²) time in the worst case.", "It is not possible to reverse a singly linked list in O(1) space." ]
15
कंप्यूटर विज्ञान और सूचना प्रौद्योगिकी
cs_question_15.png
diagram
essential
null
0
en
India
Education and Research
cs_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/cs_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Computer Science and Information Technology
Consider the following threads, T1, T2, and T3 executing on a single processor, synchronized using three binary semaphore variables, S1, S2, and S3, operated upon using standard wait() and signal(). The threads can be context switched in any order and at any time. Which initialization of the semaphores would print the sequence BCABCABCA….?
[ "S1 = 1; S2 = 1; S3 = 1", "S1 = 1; S2 = 1; S3 = 0", "S1 = 1; S2 = 0; S3 = 0", "S1 = 0; S2 = 1; S3 = 1" ]
19
कंप्यूटर विज्ञान और सूचना प्रौद्योगिकी
cs_question_19.png
table
essential
null
2
en
India
Education and Research
cs_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/cs_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Computer Science and Information Technology
What is printed by the following ANSI C program?
[ "1, 10, 11", "1, 10, 14", "10, 14, 11", "10, 10, 14" ]
21
कंप्यूटर विज्ञान और सूचना प्रौद्योगिकी
cs_question_21.png
diagram
essential
null
3
en
India
Education and Research
cs_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/cs_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Computer Science and Information Technology
Consider an enterprise network with two Ethernet segments, a web server and a firewall, connected via three routers as shown below. What is the number of subnets inside the enterprise network?
[ "3", "12", "6", "8" ]
22
कंप्यूटर विज्ञान और सूचना प्रौद्योगिकी
cs_question_22.png
diagram
essential
null
2
en
India
Education and Research
cs_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/cs_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Computer Science and Information Technology
Consider a digital display system (DDS) shown in the figure that displays the contents of register X. A 16-bit code word is used to load a word in X, either from S or from R. S is a 1024-word memory segment and R is a 32-word register file. Based on the value of mode bit M, T selects an input word to load in X. P and Q interface with the corresponding bits in the code word to choose the addressed word. Which one of the following represents the functionality of P, Q, and T?
[ "P is 10:1 multiplexer; Q is 5:1 multiplexer; T is 2:1 multiplexer", "P is 10:210 decoder; Q is 5:25 decoder; T is 2:1 encoder", "P is 10:210 decoder; Q is 5:25 decoder; T is 2:1 multiplexer", "P is 1:10 de-multiplexer; Q is 1:5 de-multiplexer; T is 2:1 multiplexer" ]
40
कंप्यूटर विज्ञान और सूचना प्रौद्योगिकी
cs_question_40.png
diagram
essential
null
2
en
India
Education and Research
cs_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/cs_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Computer Science and Information Technology
Consider three floating point numbers A , B and C stored in registers RA, RB and RC, respectively as per IEEE-754 single precision floating point format. The 32-bit content stored in these registers (in hexadecimal form) are as follows. Which one of the following is FALSE?
[ "A + C = 0", "C = A + B", "B = 3C", "(B-C) > 0" ]
41
कंप्यूटर विज्ञान और सूचना प्रौद्योगिकी
cs_question_41.png
diagram
essential
null
1
en
India
Education and Research
cs_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/cs_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Computer Science and Information Technology
What is printed by the following ANSI C program?
[ "1 2 3\n10 11 12\n19 20 21", "1 4 7\n10 13 16\n19 22 25", "1 2 3\n4 5 6\n7 8 9", "1 2 3\n13 14 15\n25 26 27" ]
43
कंप्यूटर विज्ञान और सूचना प्रौद्योगिकी
cs_question_43.png
diagram
essential
null
0
en
India
Education and Research
cs_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/cs_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Computer Science and Information Technology
What is printed by the following ANSI C program?
[ "z K s", "122 75 83", "* - +", "P x +" ]
44
कंप्यूटर विज्ञान और सूचना प्रौद्योगिकी
cs_question_44.png
diagram
essential
null
0
en
India
Education and Research
cy_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/cy_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Chemistry
The major product M formed in the following reaction is
[ "A", "B", "C", "D" ]
11
रसायन विज्ञान
cy_question_11.png
diagram
essential
null
1
en
India
Education and Research
cy_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/cy_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Chemistry
The starting material Y in the following reaction is
[ "A", "B", "C", "D" ]
12
रसायन विज्ञान
cy_question_12.png
diagram
essential
null
1
en
India
Education and Research
cy_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/cy_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Chemistry
The major product in the given reaction is Q. The mass spectrum of Q shows {[M] = molecular ion peak}
[ "[M], [M+2] and [M+4] with relative intensity of 1:2:1", "[M] and [M+2] with relative intensity of 1:1", "[M], [M+2] and [M+4] with relative intensity of 1:3:1", "[M] and [M+2] with relative intensity of 2:1" ]
13
रसायन विज्ञान
cy_question_13.png
diagram
essential
null
0
en
India
Education and Research
cy_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/cy_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Chemistry
A tripeptide on treatment with PhNCS (pH = 8.0) followed by heating with dilute HCl afforded a cyclic compound M and a dipeptide. The dipeptide on treatment with PhNCS (pH = 8.0) followed by heating with dilute HCl afforded a cyclic compound N and an acyclic compound O. The CORRECT sequence (from N- to C-terminus) of the tripeptide is
[ "glycine-phenylalanine-valine", "valine-phenylalanine-glycine", "glycine-tyrosine-valine", "glycine-phenylalanine-alanine" ]
14
रसायन विज्ञान
cy_question_14.png
diagram
essential
null
0
en
India
Education and Research
cy_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/cy_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Chemistry
The major product M in the following reaction is
[ "A", "B", "C", "D" ]
15
रसायन विज्ञान
cy_question_15.png
diagram
essential
null
0
en
India
Education and Research
cy_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/cy_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Chemistry
The major product T formed in the following reaction is
[ "A", "B", "C", "D" ]
16
रसायन विज्ञान
cy_question_16.png
diagram
essential
null
0
en
India
Education and Research
cy_2022.pdf
https://gate.iitkgp.ac.in/documents/gatepapers/2022/cy_2022.pdf
Graduate Aptitude Test in Engineering (GATE)
Chemistry
The pure vibrational spectrum of a hypothetical diatomic molecule shows three peaks with the following intensity at three different temperatures. The CORRECT statement is
[ "Peak I appears at the lowest energy", "Peak II appears at the lowest energy", "Peak III appears at the lowest energy", "Peak I appears at the highest energy" ]
21
रसायन विज्ञान
cy_question_21.png
table
essential
null
2
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