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  1. bcs-math/check_dataset.py +241 -0
  2. bcs-math/data.json +1046 -0
  3. bcs-math/images/atw-bcs-math-1.png +3 -0
  4. bcs-math/images/atw-bcs-math-10.png +3 -0
  5. bcs-math/images/atw-bcs-math-11.png +3 -0
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  10. bcs-math/images/atw-bcs-math-16.png +3 -0
  11. bcs-math/images/atw-bcs-math-17.png +3 -0
  12. bcs-math/images/atw-bcs-math-18.png +3 -0
  13. bcs-math/images/atw-bcs-math-19.png +3 -0
  14. bcs-math/images/atw-bcs-math-2.png +3 -0
  15. bcs-math/images/atw-bcs-math-20.png +3 -0
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bcs-math/check_dataset.py ADDED
@@ -0,0 +1,241 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ # Cohere For AI Community, Danylo Boiko, 2024
2
+
3
+ import os
4
+ import json
5
+ import argparse
6
+
7
+ from typing import Union, Literal, Optional
8
+
9
+ from pydantic import BaseModel, ValidationError, field_validator, model_validator
10
+ from pydantic_core.core_schema import ValidationInfo
11
+ from rich.console import Console
12
+ from rich.panel import Panel
13
+ from rich.syntax import Syntax
14
+ from rich.text import Text
15
+ from rich.tree import Tree
16
+
17
+
18
+ MIN_OPTIONS_COUNT = 4
19
+
20
+
21
+ class EntrySchema(BaseModel):
22
+ language: str
23
+ country: str
24
+ file_name: str
25
+ source: str
26
+ license: str
27
+ level: str
28
+ category_en: str
29
+ category_original_lang: str
30
+ original_question_num: Union[int, str]
31
+ question: str
32
+ options: list[str]
33
+ answer: int
34
+ image_png: Optional[str]
35
+ image_information: Optional[Literal["useful", "essential"]]
36
+ image_type: Optional[Literal["graph", "table", "diagram", "scientific formula", "text", "figure", "map", "photo"]]
37
+ parallel_question_id: Optional[tuple[str, int]]
38
+
39
+ @staticmethod
40
+ def _validate_string(value: str) -> str:
41
+ if not value.strip():
42
+ raise ValueError("Value cannot be empty or whitespace")
43
+
44
+ if value.startswith(" ") or value.endswith(" "):
45
+ raise ValueError("Value cannot have leading or trailing spaces")
46
+
47
+ return value
48
+
49
+ @staticmethod
50
+ def _validate_image(image_name: str, config: ValidationInfo) -> None:
51
+ images_path = config.context.get("images_path")
52
+
53
+ if os.path.basename(image_name) != image_name:
54
+ raise ValueError(f"The image name '{image_name}' must not include directories")
55
+
56
+ if not os.path.isfile(os.path.join(images_path, image_name)):
57
+ raise ValueError(f"The specified image '{image_name}' does not exist in {images_path}")
58
+
59
+ @field_validator("language")
60
+ def validate_language(cls, language: str, config: ValidationInfo) -> str:
61
+ dataset_language = config.context.get("dataset_language")
62
+
63
+ if language != dataset_language:
64
+ raise ValueError(f"Expected '{dataset_language}', but got '{language}'")
65
+
66
+ return cls._validate_string(language)
67
+
68
+ @field_validator("options")
69
+ def validate_options(cls, options: list[str], config: ValidationInfo) -> list[str]:
70
+ for option in options:
71
+ cls._validate_string(option)
72
+
73
+ if option.lower().endswith(".png"):
74
+ cls._validate_image(option, config)
75
+
76
+ if len(options) < MIN_OPTIONS_COUNT:
77
+ raise ValueError(f"Expected at least {MIN_OPTIONS_COUNT} options, but got {len(options)}")
78
+
79
+ if len(set(options)) != len(options):
80
+ raise ValueError("All values must be unique")
81
+
82
+ return options
83
+
84
+ @field_validator("answer")
85
+ def validate_answer(cls, answer: int, config: ValidationInfo) -> int:
86
+ options_count = len(config.data.get("options", []))
87
+
88
+ if options_count > 0 and not (0 <= answer < options_count):
89
+ raise ValueError(f"Expected value from 0 to {options_count - 1}, but got {answer}")
90
+
91
+ return answer
92
+
93
+ @field_validator("image_png")
94
+ def validate_image_png(cls, image_png: Optional[str], config: ValidationInfo) -> Optional[str]:
95
+ if isinstance(image_png, str):
96
+ cls._validate_string(image_png)
97
+
98
+ if not image_png.lower().endswith(".png"):
99
+ raise ValueError(f"The file '{image_png}' is not a PNG image")
100
+
101
+ cls._validate_image(image_png, config)
102
+
103
+ return image_png
104
+
105
+ @field_validator("parallel_question_id")
106
+ def validate_parallel_question_id(cls, parallel_question_id: Optional[tuple[str, int]]) -> Optional[tuple[str, int]]:
107
+ if isinstance(parallel_question_id, tuple) and isinstance(parallel_question_id[0], str):
108
+ cls._validate_string(parallel_question_id[0])
109
+
110
+ return parallel_question_id
111
+
112
+ @field_validator(
113
+ "country", "file_name", "source", "license", "level", "category_en",
114
+ "category_original_lang", "original_question_num", "question"
115
+ )
116
+ def validate_string_fields(cls, value: Optional[str]) -> Optional[str]:
117
+ return cls._validate_string(value) if isinstance(value, str) else value
118
+
119
+ @model_validator(mode="after")
120
+ def validate_image_data(cls, model: "EntrySchema") -> "EntrySchema":
121
+ image_data = [model.image_png, model.image_information, model.image_type]
122
+
123
+ if any(image_data) and not all(image_data):
124
+ raise ValueError(
125
+ "All fields related to image data (prefixed with 'image_') must be specified if any one of them is specified"
126
+ )
127
+
128
+ return model
129
+
130
+ class Config:
131
+ extra = "forbid"
132
+
133
+
134
+ class EntryError:
135
+ def __init__(self, index: int, message: str, location: Optional[tuple] = None) -> None:
136
+ self.index = index
137
+ self.message = message
138
+ self.location = location
139
+
140
+ def __str__(self) -> str:
141
+ message = self.message.removeprefix("Value error, ")
142
+
143
+ if self.location:
144
+ location = str(self.location).strip(",()")
145
+ return f"Location: {location}, error: {message.lower()}"
146
+
147
+ return message
148
+
149
+
150
+ class DatasetValidator:
151
+ def __init__(self, json_file: str, language_code: str) -> None:
152
+ self.json_file: str = json_file
153
+ self.json_entries: list[dict] = []
154
+ self.language_code: str = language_code.lower()
155
+ self.images_path: str = os.path.join(os.path.dirname(json_file), "images")
156
+ self.console: Console = Console()
157
+ self.errors: list[EntryError] = []
158
+
159
+ def validate(self) -> None:
160
+ self.console.print("Starting validation...", style="green")
161
+ self.console.print(f"JSON file: {self.json_file}", style="cyan")
162
+ self.console.print(f"Images path: {self.images_path}", style="cyan")
163
+ self.console.print(f"Language code: {self.language_code}", style="cyan")
164
+
165
+ if not self._load_json():
166
+ return
167
+
168
+ self._validate_entries()
169
+ self._print_validation_report()
170
+
171
+ def _load_json(self) -> bool:
172
+ try:
173
+ with open(self.json_file, "r", encoding="utf-8") as file:
174
+ entries = json.load(file)
175
+
176
+ if not isinstance(entries, list):
177
+ raise ValueError("The file must contain a JSON array (list of entries)")
178
+
179
+ self.json_entries = entries
180
+ return True
181
+ except Exception as e:
182
+ self.console.print(f"Error loading file {self.json_file}: {e}", style="red")
183
+ return False
184
+
185
+ def _validate_entries(self) -> None:
186
+ seen_entries = {}
187
+
188
+ for index, entry in enumerate(self.json_entries):
189
+ try:
190
+ entry_model = EntrySchema.model_validate(entry, context={
191
+ "dataset_language": self.language_code,
192
+ "images_path": self.images_path,
193
+ })
194
+
195
+ entry_hash = (entry_model.question, tuple(option for option in entry_model.options))
196
+
197
+ if entry_hash not in seen_entries:
198
+ seen_entries[entry_hash] = index
199
+ else:
200
+ self.errors.append(EntryError(index, f"Duplicate of entry with index {seen_entries[entry_hash]}"))
201
+ except ValidationError as e:
202
+ self.errors.extend([
203
+ EntryError(index, error.get("msg"), error.get("loc", None)) for error in e.errors()
204
+ ])
205
+
206
+ def _print_validation_report(self) -> None:
207
+ if len(self.errors) == 0:
208
+ return self.console.print("Congratulations, the JSON file is valid!", style="green")
209
+
210
+ self.console.print("The following errors were found, fix them and try again:", style="red")
211
+
212
+ for error in self.errors:
213
+ self.console.print(Panel(self._create_error_tree(error), expand=False, border_style="red"))
214
+
215
+ def _create_error_tree(self, error: EntryError) -> Tree:
216
+ entry = self.json_entries[error.index]
217
+
218
+ tree = Tree(f"Error in entry with index {error.index}", style="red")
219
+ tree.add(Text(str(error), style="yellow"))
220
+
221
+ question_node = tree.add("Question")
222
+ question_node.add(Syntax(entry.get("question", "N/A"), "text", word_wrap=True))
223
+
224
+ options_node = tree.add("Options")
225
+ for option_num, option_value in enumerate(entry.get("options", []), 1):
226
+ options_node.add(f"{option_num}. {option_value}")
227
+
228
+ answer_node = tree.add("Answer")
229
+ answer_node.add(str(entry.get("answer", "N/A")))
230
+
231
+ return tree
232
+
233
+
234
+ if __name__ == '__main__':
235
+ parser = argparse.ArgumentParser()
236
+ parser.add_argument("--json_file", type=str, required=True, help="Path to the JSON file to be validated")
237
+ parser.add_argument("--language_code", type=str, required=True, help="The language code for the dataset")
238
+ args = parser.parse_args()
239
+
240
+ validator = DatasetValidator(args.json_file, args.language_code)
241
+ validator.validate()
bcs-math/data.json ADDED
@@ -0,0 +1,1046 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ [
2
+ {
3
+ "language": "bn",
4
+ "country": "Bangladesh",
5
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
6
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
7
+ "license": "Unknown",
8
+ "level": "Professional",
9
+ "category_en": "Math",
10
+ "category_original_lang": "গণিত",
11
+ "original_question_num": 7,
12
+ "question": "চিত্র অনুসারে O কেন্দ্র বিশিষ্ট বৃত্তে ABC ত্রিভুজে অন্তলিখিত। Angle y 112 হলে, Angle x কত?",
13
+ "options": ["68","34","45","39"],
14
+ "answer": 1,
15
+ "image_png": "atw-bcs-math-1.png" ,
16
+ "image_information" : "essential",
17
+ "image_type": "graph",
18
+ "parallel_question_id": null
19
+ },
20
+ {
21
+ "language": "bn",
22
+ "country": "Bangladesh",
23
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
24
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
25
+ "license": "Unknown",
26
+ "level": "Professional",
27
+ "category_en": "Math",
28
+ "category_original_lang": "গণিত",
29
+ "original_question_num": 1,
30
+ "question": "Solve the following equations:",
31
+ "options": ["(7,4)","(9,6)","(10,7)","(11,8)"],
32
+ "answer": 0,
33
+ "image_png": "atw-bcs-math-2.png" ,
34
+ "image_information" : "essential",
35
+ "image_type": "scientific formula",
36
+ "parallel_question_id": null
37
+ },
38
+ {
39
+ "language": "bn",
40
+ "country": "Bangladesh",
41
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
42
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
43
+ "license": "Unknown",
44
+ "level": "Professional",
45
+ "category_en": "Math",
46
+ "category_original_lang": "Math",
47
+ "original_question_num": 3,
48
+ "question": "Solve the following equation:",
49
+ "options": ["0","1","-1","4"],
50
+ "answer": 3,
51
+ "image_png": "atw-bcs-math-3.png" ,
52
+ "image_information" : "essential",
53
+ "image_type": "scientific formula",
54
+ "parallel_question_id": null
55
+ },
56
+ {
57
+ "language": "bn",
58
+ "country": "Bangladesh",
59
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
60
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
61
+ "license": "Unknown",
62
+ "level": "Professional",
63
+ "category_en": "Math",
64
+ "category_original_lang": "গণিত",
65
+ "original_question_num": 4,
66
+ "question": "∆ABC কি ধরণের ত্রিভুজ?",
67
+ "options": ["সমকোণী","স্থূলকোণী","সমদ্বিবাহু","সমবাহু"],
68
+ "answer": 2,
69
+ "image_png": "atw-bcs-math-4.png" ,
70
+ "image_information" : "essential",
71
+ "image_type": "scientific formula",
72
+ "parallel_question_id": null
73
+ },
74
+ {
75
+ "language": "bn",
76
+ "country": "Bangladesh",
77
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
78
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
79
+ "license": "Unknown",
80
+ "level": "Professional",
81
+ "category_en": "Math",
82
+ "category_original_lang": "গণিত",
83
+ "original_question_num": 9,
84
+ "question": "চিত্র অনুসারে O কেন্দ্র বিশিষ্ট বৃত্তে ∆ABC আলিখিত কোণ y=112° হল <x=?",
85
+ "options": ["৬৮ ডিগ্রি", "৩৪ ডিগ্রি", "৪৫ ডিগ্রি", "৩৯ ডিগ্রি"],
86
+ "answer": 1,
87
+ "image_png": "atw-bcs-math-5.png" ,
88
+ "image_information" : "essential",
89
+ "image_type": "graph",
90
+ "parallel_question_id": null
91
+ },
92
+ {
93
+ "language": "bn",
94
+ "country": "Bangladesh",
95
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
96
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
97
+ "license": "Unknown",
98
+ "level": "Professional",
99
+ "category_en": "Math",
100
+ "category_original_lang": "Math",
101
+ "original_question_num": 14,
102
+ "question": "Solve the following equations:",
103
+ "options": ["1", "2", "3", "4"],
104
+ "answer": 3,
105
+ "image_png": "atw-bcs-math-6.png" ,
106
+ "image_information" : "essential",
107
+ "image_type": "scientific formula",
108
+ "parallel_question_id": null
109
+ },
110
+ {
111
+ "language": "bn",
112
+ "country": "Bangladesh",
113
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
114
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
115
+ "license": "Unknown",
116
+ "level": "Professional",
117
+ "category_en": "Math",
118
+ "category_original_lang": "Math",
119
+ "original_question_num": 20,
120
+ "question": "Solve these equations:",
121
+ "options": ["1", "2", "3", "4"],
122
+ "answer": 2,
123
+ "image_png": "atw-bcs-math-7.png" ,
124
+ "image_information" : "essential",
125
+ "image_type": "scientific formula",
126
+ "parallel_question_id": null
127
+ },
128
+ {
129
+ "language": "bn",
130
+ "country": "Bangladesh",
131
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
132
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
133
+ "license": "Unknown",
134
+ "level": "Professional",
135
+ "category_en": "Math",
136
+ "category_original_lang": "Math",
137
+ "original_question_num": 23,
138
+ "question": "Solve the following question:",
139
+ "options": ["1", "2", "4", "5"],
140
+ "answer": 2,
141
+ "image_png": "atw-bcs-math-8.png" ,
142
+ "image_information" : "essential",
143
+ "image_type": "scientific formula",
144
+ "parallel_question_id": null
145
+ },
146
+ {
147
+ "language": "bn",
148
+ "country": "Bangladesh",
149
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
150
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
151
+ "license": "Unknown",
152
+ "level": "Professional",
153
+ "category_en": "Math",
154
+ "category_original_lang": "Math",
155
+ "original_question_num": 24,
156
+ "question": "Solve the following question:",
157
+ "options": ["2", "-2", "3", "-3"],
158
+ "answer": 1,
159
+ "image_png": "atw-bcs-math-9.png" ,
160
+ "image_information" : "essential",
161
+ "image_type": "scientific formula",
162
+ "parallel_question_id": null
163
+ },
164
+ {
165
+ "language": "bn",
166
+ "country": "Bangladesh",
167
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
168
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
169
+ "license": "Unknown",
170
+ "level": "Professional",
171
+ "category_en": "Math",
172
+ "category_original_lang": "Math",
173
+ "original_question_num": 5,
174
+ "question": "Find the value of x:",
175
+ "options": ["(1,2)","(0,2)","(1,3)","(0,1)"],
176
+ "answer": 3,
177
+ "image_png": "atw-bcs-math-10.png" ,
178
+ "image_information" : "essential",
179
+ "image_type": "scientific formula",
180
+ "parallel_question_id": null
181
+ },
182
+ {
183
+ "language": "bn",
184
+ "country": "Bangladesh",
185
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
186
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
187
+ "license": "Unknown",
188
+ "level": "Professional",
189
+ "category_en": "Math",
190
+ "category_original_lang": "গণিত",
191
+ "original_question_num": 6,
192
+ "question": "A union B union C=?",
193
+ "options": ["{1, 2, 3, 4}","{2, 3, 4}","{2, 3, 4, 5}","Ø"],
194
+ "answer": 3,
195
+ "image_png": "atw-bcs-math-11.png" ,
196
+ "image_information" : "essential",
197
+ "image_type": "scientific formula",
198
+ "parallel_question_id": null
199
+ },
200
+ {
201
+ "language": "bn",
202
+ "country": "Bangladesh",
203
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
204
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
205
+ "license": "Unknown",
206
+ "level": "Professional",
207
+ "category_en": "Math",
208
+ "category_original_lang": "গণিত",
209
+ "original_question_num": 8,
210
+ "question": "What is the value of x?",
211
+ "options": ["2<x<3","-3<x<-2","x<2","x<3"],
212
+ "answer": 0,
213
+ "image_png": "atw-bcs-math-12.png" ,
214
+ "image_information" : "essential",
215
+ "image_type": "scientific formula",
216
+ "parallel_question_id": null
217
+ },
218
+ {
219
+ "language": "bn",
220
+ "country": "Bangladesh",
221
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
222
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
223
+ "license": "Unknown",
224
+ "level": "Professional",
225
+ "category_en": "Math",
226
+ "category_original_lang": "গণিত",
227
+ "original_question_num": 9,
228
+ "question": "P(A) এর উপাদান কয়টি?",
229
+ "options": ["168","32","256","64"],
230
+ "answer": 1,
231
+ "image_png": "atw-bcs-math-13.png" ,
232
+ "image_information" : "essential",
233
+ "image_type": "scientific formula",
234
+ "parallel_question_id": null
235
+ },
236
+ {
237
+ "language": "bn",
238
+ "country": "Bangladesh",
239
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
240
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
241
+ "license": "Unknown",
242
+ "level": "Professional",
243
+ "category_en": "Math",
244
+ "category_original_lang": "গণিত",
245
+ "original_question_num": 13,
246
+ "question": "Given the equation, x ^ 3 + 1 / (x ^ 3) এর মান কত?",
247
+ "options": ["3√(2)","18√(2)","12√(3)","8"],
248
+ "answer": 1,
249
+ "image_png": "atw-bcs-math-14.png" ,
250
+ "image_information" : "essential",
251
+ "image_type": "scientific formula",
252
+ "parallel_question_id": null
253
+ },
254
+ {
255
+ "language": "bn",
256
+ "country": "Bangladesh",
257
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
258
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
259
+ "license": "Unknown",
260
+ "level": "Professional",
261
+ "category_en": "Math",
262
+ "category_original_lang": "গণিত",
263
+ "original_question_num": 18,
264
+ "question": "Given the equation, (x² - 1 / (x²)) এর মান-",
265
+ "options": ["5√(3)","3√(5)","4√(5)","6√(5)"],
266
+ "answer": 1,
267
+ "image_png": "atw-bcs-math-15.png" ,
268
+ "image_information" : "essential",
269
+ "image_type": "scientific formula",
270
+ "parallel_question_id": null
271
+ },
272
+ {
273
+ "language": "bn",
274
+ "country": "Bangladesh",
275
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
276
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
277
+ "license": "Unknown",
278
+ "level": "Professional",
279
+ "category_en": "Math",
280
+ "category_original_lang": "গণিত",
281
+ "original_question_num": 20,
282
+ "question": "x এর মান -",
283
+ "options": ["4/9","9/4","√(3/2)","√(2/3)"],
284
+ "answer": 0,
285
+ "image_png": "atw-bcs-math-16.png" ,
286
+ "image_information" : "essential",
287
+ "image_type": "scientific formula",
288
+ "parallel_question_id": null
289
+ },
290
+ {
291
+ "language": "bn",
292
+ "country": "Bangladesh",
293
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
294
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
295
+ "license": "Unknown",
296
+ "level": "Professional",
297
+ "category_en": "Math",
298
+ "category_original_lang": "গণিত",
299
+ "original_question_num": 26,
300
+ "question": "x = কত?",
301
+ "options": ["2","√2","2√2","4"],
302
+ "answer": 2,
303
+ "image_png": "atw-bcs-math-17.png" ,
304
+ "image_information" : "essential",
305
+ "image_type": "scientific formula",
306
+ "parallel_question_id": null
307
+ },
308
+ {
309
+ "language": "bn",
310
+ "country": "Bangladesh",
311
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
312
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
313
+ "license": "Unknown",
314
+ "level": "Professional",
315
+ "category_en": "Math",
316
+ "category_original_lang": "গণিত",
317
+ "original_question_num": 3,
318
+ "question": "x এর মান কত?",
319
+ "options": ["3/2","4/6","9/4","2/3"],
320
+ "answer": 2,
321
+ "image_png": "atw-bcs-math-18.png" ,
322
+ "image_information" : "essential",
323
+ "image_type": "scientific formula",
324
+ "parallel_question_id": null
325
+ },
326
+ {
327
+ "language": "bn",
328
+ "country": "Bangladesh",
329
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
330
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
331
+ "license": "Unknown",
332
+ "level": "Professional",
333
+ "category_en": "Math",
334
+ "category_original_lang": "গণিত",
335
+ "original_question_num": 4,
336
+ "question": "n এর মান কত?",
337
+ "options": ["18","14","16","12"],
338
+ "answer": 0,
339
+ "image_png": "atw-bcs-math-19.png" ,
340
+ "image_information" : "essential",
341
+ "image_type": "scientific formula",
342
+ "parallel_question_id": null
343
+ },
344
+ {
345
+ "language": "bn",
346
+ "country": "Bangladesh",
347
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
348
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
349
+ "license": "Unknown",
350
+ "level": "Professional",
351
+ "category_en": "Math",
352
+ "category_original_lang": "গণিত",
353
+ "original_question_num": 8,
354
+ "question": "Solve the problem:",
355
+ "options": ["3","2","1","0"],
356
+ "answer": 3,
357
+ "image_png": "atw-bcs-math-20.png" ,
358
+ "image_information" : "essential",
359
+ "image_type": "scientific formula",
360
+ "parallel_question_id": null
361
+ },
362
+ {
363
+ "language": "bn",
364
+ "country": "Bangladesh",
365
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
366
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
367
+ "license": "Unknown",
368
+ "level": "Professional",
369
+ "category_en": "Math",
370
+ "category_original_lang": "গণিত",
371
+ "original_question_num": 11,
372
+ "question": "অনুক্রমটির চতুর্থ পদ কোনটি?",
373
+ "options": ["-1","1","1/2","0"],
374
+ "answer": 1,
375
+ "image_png": "atw-bcs-math-21.png" ,
376
+ "image_information" : "essential",
377
+ "image_type": "scientific formula",
378
+ "parallel_question_id": null
379
+ },
380
+ {
381
+ "language": "bn",
382
+ "country": "Bangladesh",
383
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
384
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
385
+ "license": "Unknown",
386
+ "level": "Professional",
387
+ "category_en": "Math",
388
+ "category_original_lang": "গণিত",
389
+ "original_question_num": 15,
390
+ "question": "এর সমাধান সেট কোনটি?",
391
+ "options": ["atw-bcs-math-22A.png","atw-bcs-math-22B.png","atw-bcs-math-22C.png","atw-bcs-math-22D.png"],
392
+ "answer": 1,
393
+ "image_png": "atw-bcs-math-22.png" ,
394
+ "image_information" : "essential",
395
+ "image_type": "scientific formula",
396
+ "parallel_question_id": null
397
+ },
398
+ {
399
+ "language": "bn",
400
+ "country": "Bangladesh",
401
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
402
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
403
+ "license": "Unknown",
404
+ "level": "Professional",
405
+ "category_en": "Math",
406
+ "category_original_lang": "গণিত",
407
+ "original_question_num": 18,
408
+ "question": "x এর মান কত?",
409
+ "options": ["9","-3","7","3"],
410
+ "answer": 1,
411
+ "image_png": "atw-bcs-math-23.png" ,
412
+ "image_information" : "essential",
413
+ "image_type": "scientific formula",
414
+ "parallel_question_id": null
415
+ },
416
+ {
417
+ "language": "bn",
418
+ "country": "Bangladesh",
419
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
420
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
421
+ "license": "Unknown",
422
+ "level": "Professional",
423
+ "category_en": "Math",
424
+ "category_original_lang": "গণিত",
425
+ "original_question_num": 20,
426
+ "question": "এর মান কত?",
427
+ "options": ["০.৬১","০.৫১","০.৮১","০.৩৬"],
428
+ "answer": 1,
429
+ "image_png": "atw-bcs-math-24.png" ,
430
+ "image_information" : "essential",
431
+ "image_type": "scientific formula",
432
+ "parallel_question_id": null
433
+ },
434
+ {
435
+ "language": "bn",
436
+ "country": "Bangladesh",
437
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
438
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
439
+ "license": "Unknown",
440
+ "level": "Professional",
441
+ "category_en": "Math",
442
+ "category_original_lang": "গণিত",
443
+ "original_question_num": 24,
444
+ "question": "এর সমাধান কোনটি?",
445
+ "options": ["atw-bcs-math-25A.png","atw-bcs-math-25B.png","atw-bcs-math-25C.png","atw-bcs-math-25D.png"],
446
+ "answer": 0,
447
+ "image_png": "atw-bcs-math-25.png" ,
448
+ "image_information" : "essential",
449
+ "image_type": "scientific formula",
450
+ "parallel_question_id": null
451
+ },
452
+ {
453
+ "language": "bn",
454
+ "country": "Bangladesh",
455
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
456
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
457
+ "license": "Unknown",
458
+ "level": "Professional",
459
+ "category_en": "Math",
460
+ "category_original_lang": "গণিত",
461
+ "original_question_num": 25,
462
+ "question": "(P-Q) কত?",
463
+ "options": ["{1,2,4}","{1,3,6}","{1,3,4}","{1, 2, 6}"],
464
+ "answer": 0,
465
+ "image_png": "atw-bcs-math-26.png" ,
466
+ "image_information" : "essential",
467
+ "image_type": "scientific formula",
468
+ "parallel_question_id": null
469
+ },
470
+ {
471
+ "language": "bn",
472
+ "country": "Bangladesh",
473
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
474
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
475
+ "license": "Unknown",
476
+ "level": "Professional",
477
+ "category_en": "Math",
478
+ "category_original_lang": "গণিত",
479
+ "original_question_num": 26,
480
+ "question": "সমীকরণে মূলঙ্কয়ের প্রকৃতি কোনটি?",
481
+ "options": ["বাস্তব ও সমান","বাস্তব ও অসমান","অবাস্তব","পূর্ণবর্গ সংখ্যা"],
482
+ "answer": 1,
483
+ "image_png": "atw-bcs-math-27.png" ,
484
+ "image_information" : "essential",
485
+ "image_type": "scientific formula",
486
+ "parallel_question_id": null
487
+ },
488
+ {
489
+ "language": "bn",
490
+ "country": "Bangladesh",
491
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
492
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
493
+ "license": "Unknown",
494
+ "level": "Professional",
495
+ "category_en": "Math",
496
+ "category_original_lang": "গণিত",
497
+ "original_question_num": 28,
498
+ "question": "কোন শর্তে চিত্রের সমীকরণটি সঠিক?",
499
+ "options": ["atw-bcs-math-28A.png","atw-bcs-math-28B.png","atw-bcs-math-28C.png","atw-bcs-math-28D.png"],
500
+ "answer": 0,
501
+ "image_png": "atw-bcs-math-28.png" ,
502
+ "image_information" : "essential",
503
+ "image_type": "scientific formula",
504
+ "parallel_question_id": null
505
+ },
506
+ {
507
+ "language": "bn",
508
+ "country": "Bangladesh",
509
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
510
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
511
+ "license": "Unknown",
512
+ "level": "Professional",
513
+ "category_en": "Math",
514
+ "category_original_lang": "গণিত",
515
+ "original_question_num": 29,
516
+ "question": "চিত্রে angle PQR = 55 deg angle LRN = 90 deg এবং PQ||MR, PQ = PR হলে, angle NRP এর মান নিচের কোনটি?",
517
+ "options": ["-90°","55°","45°","35°"],
518
+ "answer": 3,
519
+ "image_png": "atw-bcs-math-29.png" ,
520
+ "image_information" : "essential",
521
+ "image_type": "scientific formula",
522
+ "parallel_question_id": null
523
+ },
524
+ {
525
+ "language": "bn",
526
+ "country": "Bangladesh",
527
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
528
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
529
+ "license": "Unknown",
530
+ "level": "Professional",
531
+ "category_en": "Math",
532
+ "category_original_lang": "গণিত",
533
+ "original_question_num": 3,
534
+ "question": "x এর মান কোনটি?",
535
+ "options": ["3","13","-13","2"],
536
+ "answer": 0,
537
+ "image_png": "atw-bcs-math-30.png" ,
538
+ "image_information" : "essential",
539
+ "image_type": "scientific formula",
540
+ "parallel_question_id": null
541
+ },
542
+ {
543
+ "language": "bn",
544
+ "country": "Bangladesh",
545
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
546
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
547
+ "license": "Unknown",
548
+ "level": "Professional",
549
+ "category_en": "Math",
550
+ "category_original_lang": "গণিত",
551
+ "original_question_num": 5,
552
+ "question": "চিত্রের সমীকরণটির মান কত?",
553
+ "options": ["4","-4i","-4","4i"],
554
+ "answer": 2,
555
+ "image_png": "atw-bcs-math-31.png" ,
556
+ "image_information" : "essential",
557
+ "image_type": "scientific formula",
558
+ "parallel_question_id": null
559
+ },
560
+ {
561
+ "language": "bn",
562
+ "country": "Bangladesh",
563
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
564
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
565
+ "license": "Unknown",
566
+ "level": "Professional",
567
+ "category_en": "Math",
568
+ "category_original_lang": "গণিত",
569
+ "original_question_num": 11,
570
+ "question": "∠C এর সমদ্বিখণ্ডক AB বাহুকে D বিন্দুতে ছেদ করলো ∠CDA=?",
571
+ "options": ["১১০°","৮০°","৯০°","১০০°"],
572
+ "answer": 0,
573
+ "image_png": "atw-bcs-math-32.png" ,
574
+ "image_information" : "essential",
575
+ "image_type": "scientific formula",
576
+ "parallel_question_id": null
577
+ },
578
+ {
579
+ "language": "bn",
580
+ "country": "Bangladesh",
581
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
582
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
583
+ "license": "Unknown",
584
+ "level": "Professional",
585
+ "category_en": "Math",
586
+ "category_original_lang": "গণিত",
587
+ "original_question_num": 23,
588
+ "question": "অসমতাটির সমাধান কোনটি?",
589
+ "options": ["atw-bcs-math-33A.png","atw-bcs-math-33B.png","atw-bcs-math-33C.png","atw-bcs-math-33D.png"],
590
+ "answer": 1,
591
+ "image_png": "atw-bcs-math-33.png" ,
592
+ "image_information" : "essential",
593
+ "image_type": "scientific formula",
594
+ "parallel_question_id": null
595
+ },
596
+ {
597
+ "language": "bn",
598
+ "country": "Bangladesh",
599
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
600
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
601
+ "license": "Unknown",
602
+ "level": "Professional",
603
+ "category_en": "Math",
604
+ "category_original_lang": "গণিত",
605
+ "original_question_num": 25,
606
+ "question": "1/a²+1/b² এর মান কত?",
607
+ "options": ["11/49","25/144","3/25","31/144"],
608
+ "answer": 1,
609
+ "image_png": "atw-bcs-math-34.png" ,
610
+ "image_information" : "essential",
611
+ "image_type": "scientific formula",
612
+ "parallel_question_id": null
613
+ },
614
+ {
615
+ "language": "bn",
616
+ "country": "Bangladesh",
617
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
618
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
619
+ "license": "Unknown",
620
+ "level": "Professional",
621
+ "category_en": "Math",
622
+ "category_original_lang": "গণিত",
623
+ "original_question_num": 27,
624
+ "question": "x এর মান কত?",
625
+ "options": ["-1","-2","-3","-12"],
626
+ "answer": 1,
627
+ "image_png": "atw-bcs-math-35.png" ,
628
+ "image_information" : "essential",
629
+ "image_type": "scientific formula",
630
+ "parallel_question_id": null
631
+ },
632
+ {
633
+ "language": "bn",
634
+ "country": "Bangladesh",
635
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
636
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
637
+ "license": "Unknown",
638
+ "level": "Professional",
639
+ "category_en": "Math",
640
+ "category_original_lang": "গণিত",
641
+ "original_question_num": 1,
642
+ "question": "এর মান কত?",
643
+ "options": ["2","10","15","8"],
644
+ "answer": 2,
645
+ "image_png": "atw-bcs-math-36.png" ,
646
+ "image_information" : "essential",
647
+ "image_type": "scientific formula",
648
+ "parallel_question_id": null
649
+ },
650
+ {
651
+ "language": "bn",
652
+ "country": "Bangladesh",
653
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
654
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
655
+ "license": "Unknown",
656
+ "level": "Professional",
657
+ "category_en": "Math",
658
+ "category_original_lang": "গণিত",
659
+ "original_question_num": 3,
660
+ "question": "নিচের কোনটি সঠিক?",
661
+ "options": ["x<2","x>3, x<2","2>x>3","2<x<3"],
662
+ "answer": 3,
663
+ "image_png": "atw-bcs-math-37.png" ,
664
+ "image_information" : "essential",
665
+ "image_type": "scientific formula",
666
+ "parallel_question_id": null
667
+ },
668
+ {
669
+ "language": "bn",
670
+ "country": "Bangladesh",
671
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
672
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
673
+ "license": "Unknown",
674
+ "level": "Professional",
675
+ "category_en": "Math",
676
+ "category_original_lang": "গণিত",
677
+ "original_question_num": 4,
678
+ "question": "-এর সংখ্যা সহগের গ.সা.গু. নিচের কোনটি?",
679
+ "options": ["atw-bcs-math-38A.png","atw-bcs-math-38B.png","atw-bcs-math-38C.png","কোনটিই নয়"],
680
+ "answer": 3,
681
+ "image_png": "atw-bcs-math-38.png" ,
682
+ "image_information" : "essential",
683
+ "image_type": "scientific formula",
684
+ "parallel_question_id": null
685
+ },
686
+ {
687
+ "language": "bn",
688
+ "country": "Bangladesh",
689
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
690
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
691
+ "license": "Unknown",
692
+ "level": "Professional",
693
+ "category_en": "Math",
694
+ "category_original_lang": "গণিত",
695
+ "original_question_num": 5,
696
+ "question": "এর মান কত?",
697
+ "options": ["-1","i","1","-i"],
698
+ "answer": 3,
699
+ "image_png": "atw-bcs-math-39.png" ,
700
+ "image_information" : "essential",
701
+ "image_type": "scientific formula",
702
+ "parallel_question_id": null
703
+ },
704
+ {
705
+ "language": "bn",
706
+ "country": "Bangladesh",
707
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
708
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
709
+ "license": "Unknown",
710
+ "level": "Professional",
711
+ "category_en": "Math",
712
+ "category_original_lang": "গণিত",
713
+ "original_question_num": 7,
714
+ "question": "চিত্রের মান অনুযায়ী, তাহলে নিচের কোনটি x এর মান?",
715
+ "options": ["0.1","1/10000","0.01","0.001"],
716
+ "answer": 0,
717
+ "image_png": "atw-bcs-math-40.png" ,
718
+ "image_information" : "essential",
719
+ "image_type": "scientific formula",
720
+ "parallel_question_id": null
721
+ },
722
+ {
723
+ "language": "bn",
724
+ "country": "Bangladesh",
725
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
726
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
727
+ "license": "Unknown",
728
+ "level": "Professional",
729
+ "category_en": "Math",
730
+ "category_original_lang": "গণিত",
731
+ "original_question_num": 11,
732
+ "question": "বাস্তব সংখ্যায় অসমতাটির সমাধান:",
733
+ "options": ["atw-bcs-math-41A.png","atw-bcs-math-41B.png","atw-bcs-math-41C.png","atw-bcs-math-41D.png"],
734
+ "answer": 2,
735
+ "image_png": "atw-bcs-math-41.png" ,
736
+ "image_information" : "essential",
737
+ "image_type": "scientific formula",
738
+ "parallel_question_id": null
739
+ },
740
+ {
741
+ "language": "bn",
742
+ "country": "Bangladesh",
743
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
744
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
745
+ "license": "Unknown",
746
+ "level": "Professional",
747
+ "category_en": "Math",
748
+ "category_original_lang": "গণিত",
749
+ "original_question_num": 12,
750
+ "question": "সংখ্যক পদের যোগফল হবে-",
751
+ "options": ["atw-bcs-math-42A.png","0","1","atw-bcs-math-42D.png"],
752
+ "answer": 3,
753
+ "image_png": "atw-bcs-math-42.png" ,
754
+ "image_information" : "essential",
755
+ "image_type": "scientific formula",
756
+ "parallel_question_id": null
757
+ },
758
+ {
759
+ "language": "bn",
760
+ "country": "Bangladesh",
761
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
762
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
763
+ "license": "Unknown",
764
+ "level": "Professional",
765
+ "category_en": "Math",
766
+ "category_original_lang": "গণিত",
767
+ "original_question_num": 16,
768
+ "question": "যদি E এবং F AB এবং AC-কে এমনভাবে ছেদ করে যেন EF || BC হয়, তাহলে",
769
+ "options": ["১৩২°","১৬০°","১৮০°","১০৮°"],
770
+ "answer": 0,
771
+ "image_png": "atw-bcs-math-43.png" ,
772
+ "image_information" : "essential",
773
+ "image_type": "text",
774
+ "parallel_question_id": null
775
+ },
776
+ {
777
+ "language": "bn",
778
+ "country": "Bangladesh",
779
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
780
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
781
+ "license": "Unknown",
782
+ "level": "Professional",
783
+ "category_en": "Math",
784
+ "category_original_lang": "গণিত",
785
+ "original_question_num": 17,
786
+ "question": "x = কত?",
787
+ "options": ["1","1/4","1/2","1/3"],
788
+ "answer": 2,
789
+ "image_png": "atw-bcs-math-44.png" ,
790
+ "image_information" : "essential",
791
+ "image_type": "scientific formula",
792
+ "parallel_question_id": null
793
+ },
794
+ {
795
+ "language": "bn",
796
+ "country": "Bangladesh",
797
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
798
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
799
+ "license": "Unknown",
800
+ "level": "Professional",
801
+ "category_en": "Math",
802
+ "category_original_lang": "গণিত",
803
+ "original_question_num": 18,
804
+ "question": "x^(3/2) = ?",
805
+ "options": ["64","16","4","8"],
806
+ "answer": 2,
807
+ "image_png": "atw-bcs-math-45.png" ,
808
+ "image_information" : "essential",
809
+ "image_type": "scientific formula",
810
+ "parallel_question_id": null
811
+ },
812
+ {
813
+ "language": "bn",
814
+ "country": "Bangladesh",
815
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
816
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
817
+ "license": "Unknown",
818
+ "level": "Professional",
819
+ "category_en": "Math",
820
+ "category_original_lang": "গণিত",
821
+ "original_question_num": 19,
822
+ "question": "বাস্তব সংখ্যায় অসমতাটির সমাধান-",
823
+ "options": ["atw-bcs-math-46A.png","atw-bcs-math-46B.png","atw-bcs-math-46C.png","atw-bcs-math-46D.png"],
824
+ "answer": 1,
825
+ "image_png": "atw-bcs-math-46.png" ,
826
+ "image_information" : "essential",
827
+ "image_type": "scientific formula",
828
+ "parallel_question_id": null
829
+ },
830
+ {
831
+ "language": "bn",
832
+ "country": "Bangladesh",
833
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
834
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
835
+ "license": "Unknown",
836
+ "level": "Professional",
837
+ "category_en": "Math",
838
+ "category_original_lang": "গণিত",
839
+ "original_question_num": 20,
840
+ "question": "P(A^C intersection B^C) = কত?",
841
+ "options": ["12","18","14","16"],
842
+ "answer": 2,
843
+ "image_png": "atw-bcs-math-47.png" ,
844
+ "image_information" : "essential",
845
+ "image_type": "scientific formula",
846
+ "parallel_question_id": null
847
+ },
848
+ {
849
+ "language": "bn",
850
+ "country": "Bangladesh",
851
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
852
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
853
+ "license": "Unknown",
854
+ "level": "Professional",
855
+ "category_en": "Math",
856
+ "category_original_lang": "গণিত",
857
+ "original_question_num": 27,
858
+ "question": "f^-1(2) এর মান কত?",
859
+ "options": ["1","1/2","5","0"],
860
+ "answer": 1,
861
+ "image_png": "atw-bcs-math-48.png" ,
862
+ "image_information" : "essential",
863
+ "image_type": "scientific formula",
864
+ "parallel_question_id": null
865
+ },
866
+ {
867
+ "language": "bn",
868
+ "country": "Bangladesh",
869
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
870
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
871
+ "license": "Unknown",
872
+ "level": "Professional",
873
+ "category_en": "Math",
874
+ "category_original_lang": "গণিত",
875
+ "original_question_num": 29,
876
+ "question": "এর সমাধান সেট কোনটি?",
877
+ "options": ["{φ}","{-1}","{1}","{2}"],
878
+ "answer": 0,
879
+ "image_png": "atw-bcs-math-49.png" ,
880
+ "image_information" : "essential",
881
+ "image_type": "scientific formula",
882
+ "parallel_question_id": null
883
+ },
884
+ {
885
+ "language": "bn",
886
+ "country": "Bangladesh",
887
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
888
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
889
+ "license": "Unknown",
890
+ "level": "Professional",
891
+ "category_en": "Math",
892
+ "category_original_lang": "গণিত",
893
+ "original_question_num": 32,
894
+ "question": "চিত্রের সমীকরণের মান কত?",
895
+ "options": ["2","100","37","4.6"],
896
+ "answer": 0,
897
+ "image_png": "atw-bcs-math-50.png" ,
898
+ "image_information" : "essential",
899
+ "image_type": "scientific formula",
900
+ "parallel_question_id": null
901
+ },
902
+ {
903
+ "language": "bn",
904
+ "country": "Bangladesh",
905
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
906
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
907
+ "license": "Unknown",
908
+ "level": "Professional",
909
+ "category_en": "Math",
910
+ "category_original_lang": "গণিত",
911
+ "original_question_num": 1,
912
+ "question": "নিচের কোনটি সঠিক?",
913
+ "options": ["a + b = 1","a - b = 1","a = b","a^2 - b^2 = 1"],
914
+ "answer": 0,
915
+ "image_png": "atw-bcs-math-51.png" ,
916
+ "image_information" : "essential",
917
+ "image_type": "scientific formula",
918
+ "parallel_question_id": null
919
+ },
920
+ {
921
+ "language": "bn",
922
+ "country": "Bangladesh",
923
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
924
+ "source": "https://blog.hellobcs.com/wp-content/uploads/2023/12/35th-45th-BCS-Math-Question-Solution.pdf",
925
+ "license": "Unknown",
926
+ "level": "Professional",
927
+ "category_en": "Math",
928
+ "category_original_lang": "গণিত",
929
+ "original_question_num": 3,
930
+ "question": "চিত্রের রাশিঙ্কয়ের ল.সা.গু এবং গ.সা.গু এর গুণফল কত?",
931
+ "options": ["atw-bcs-math-52A.png","atw-bcs-math-52B.png","atw-bcs-math-52C.png","atw-bcs-math-52D.png"],
932
+ "answer": 2,
933
+ "image_png": "atw-bcs-math-52.png" ,
934
+ "image_information" : "essential",
935
+ "image_type": "scientific formula",
936
+ "parallel_question_id": null
937
+ },
938
+ {
939
+ "language": "bn",
940
+ "country": "Bangladesh",
941
+ "file_name": "35th-45th-BCS-Math-Question-Solution.pdf",
942
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