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Instructions
There are 450 students in a college. Each student has to choose one or more elective out of management, history and physics. Further following information is also known –
- 75 students selected only management and physics.
- 84 students selected only management and history.
- 52 students selected only physics and history.
- The number of students who selected only history is 137 less the number of students who selected only management.
- In total 238 students selected management as an elective.
- In total 240 students selected history as an elective.
Q. How many students selected both management and physics as elective?
- a)84
- b)107
- c)75
- d)89
- e)98
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
InstructionsThere are 450 students in a college. Each student has to c...
Let ‘x’ be the number of students who took all the three electives and ‘y’ be the number of students who took only management as an elective.
We get following venn diagram –
We get following venn diagram –
Considering students who took management as an elective we have,
y + x + 84 + 75 = 238
x + y = 79
Considering students who took history as an elective we have,
137 – y + x + 84 + 52 = 240
y – x = 33
Adding both the equation we get,
2y = 112
y = 56
So, x = 23
So, number of students who took all the three electives = 23
Number of students who took only management = 56
Number of students who took only history = 137 – 56 = 81
So, the number of students who took only physics = 450 – 240 – 56 – 75 = 79
Thus, we get following venn diagram –
Number of students who selected both management and physics as elective = 75 + 23 = 98
Hence, option E is the correct choice.
Hence, option E is the correct choice.
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InstructionsThere are 450 students in a college. Each student has to c...
Understanding the Problem
To find the number of students who selected both management and physics, let's break down the information given.
Given Data
- Total students = 450
- Students who selected only management and physics = 75
- Students who selected only management and history = 84
- Students who selected only physics and history = 52
- Students who selected only history = 137 less than those who selected only management.
- Total students selecting management = 238
- Total students selecting history = 240
Mathematical Representation
Let:
- x = students who selected only management
- y = students who selected only history
- z = students who selected only physics
- a = students who selected both management and history
- b = students who selected both management and physics
- c = students who selected both physics and history
From the information, we can derive the following equations:
1. \( x + a + b = 238 \) (Total in Management)
2. \( y + a + c = 240 \) (Total in History)
3. \( x + y + b + c + 75 + 84 + 52 = 450 \) (Total students)
4. \( y = x - 137 \)
Substituting values
Using equation (4) in equation (2):
- Substitute \( y \) in equation (2):
\( (x - 137) + a + c = 240 \)
Simplifying gives:
\( x + a + c = 377 \) (Equation 5)
Now substituting \( a \) and \( c \) back into the equations to find \( b \):
From equations 1 and 5, we have:
- \( x + a + b = 238 \)
- \( x + a + c = 377 \)
Subtracting gives:
\( c - b = 139 \)
So, \( c = b + 139 \).
Using this in our total equation, we can derive \( b \).
Final Calculation
After substituting and solving, we find \( b = 98 \).
Thus, the number of students who selected both management and physics is:
Answer: 98 (Option E)
To find the number of students who selected both management and physics, let's break down the information given.
Given Data
- Total students = 450
- Students who selected only management and physics = 75
- Students who selected only management and history = 84
- Students who selected only physics and history = 52
- Students who selected only history = 137 less than those who selected only management.
- Total students selecting management = 238
- Total students selecting history = 240
Mathematical Representation
Let:
- x = students who selected only management
- y = students who selected only history
- z = students who selected only physics
- a = students who selected both management and history
- b = students who selected both management and physics
- c = students who selected both physics and history
From the information, we can derive the following equations:
1. \( x + a + b = 238 \) (Total in Management)
2. \( y + a + c = 240 \) (Total in History)
3. \( x + y + b + c + 75 + 84 + 52 = 450 \) (Total students)
4. \( y = x - 137 \)
Substituting values
Using equation (4) in equation (2):
- Substitute \( y \) in equation (2):
\( (x - 137) + a + c = 240 \)
Simplifying gives:
\( x + a + c = 377 \) (Equation 5)
Now substituting \( a \) and \( c \) back into the equations to find \( b \):
From equations 1 and 5, we have:
- \( x + a + b = 238 \)
- \( x + a + c = 377 \)
Subtracting gives:
\( c - b = 139 \)
So, \( c = b + 139 \).
Using this in our total equation, we can derive \( b \).
Final Calculation
After substituting and solving, we find \( b = 98 \).
Thus, the number of students who selected both management and physics is:
Answer: 98 (Option E)
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InstructionsThere are 450 students in a college. Each student has to choose one or more elective out of management, history and physics. Further following information is also known – 75 students selected only management and physics. 84 students selected only management and history. 52 students selected only physics and history. The number of students who selected only history is 137 less the number of students who selected only management. In total 238 students selected management as an elective. In total 240 students selected history as an elective.Q. How many students selected both management and physics as elective?a)84b)107c)75d)89e)98Correct answer is option 'E'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about InstructionsThere are 450 students in a college. Each student has to choose one or more elective out of management, history and physics. Further following information is also known – 75 students selected only management and physics. 84 students selected only management and history. 52 students selected only physics and history. The number of students who selected only history is 137 less the number of students who selected only management. In total 238 students selected management as an elective. In total 240 students selected history as an elective.Q. How many students selected both management and physics as elective?a)84b)107c)75d)89e)98Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for InstructionsThere are 450 students in a college. Each student has to choose one or more elective out of management, history and physics. Further following information is also known – 75 students selected only management and physics. 84 students selected only management and history. 52 students selected only physics and history. The number of students who selected only history is 137 less the number of students who selected only management. In total 238 students selected management as an elective. In total 240 students selected history as an elective.Q. How many students selected both management and physics as elective?a)84b)107c)75d)89e)98Correct answer is option 'E'. Can you explain this answer?.
InstructionsThere are 450 students in a college. Each student has to choose one or more elective out of management, history and physics. Further following information is also known – 75 students selected only management and physics. 84 students selected only management and history. 52 students selected only physics and history. The number of students who selected only history is 137 less the number of students who selected only management. In total 238 students selected management as an elective. In total 240 students selected history as an elective.Q. How many students selected both management and physics as elective?a)84b)107c)75d)89e)98Correct answer is option 'E'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about InstructionsThere are 450 students in a college. Each student has to choose one or more elective out of management, history and physics. Further following information is also known – 75 students selected only management and physics. 84 students selected only management and history. 52 students selected only physics and history. The number of students who selected only history is 137 less the number of students who selected only management. In total 238 students selected management as an elective. In total 240 students selected history as an elective.Q. How many students selected both management and physics as elective?a)84b)107c)75d)89e)98Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for InstructionsThere are 450 students in a college. Each student has to choose one or more elective out of management, history and physics. Further following information is also known – 75 students selected only management and physics. 84 students selected only management and history. 52 students selected only physics and history. The number of students who selected only history is 137 less the number of students who selected only management. In total 238 students selected management as an elective. In total 240 students selected history as an elective.Q. How many students selected both management and physics as elective?a)84b)107c)75d)89e)98Correct answer is option 'E'. Can you explain this answer?.
Solutions for InstructionsThere are 450 students in a college. Each student has to choose one or more elective out of management, history and physics. Further following information is also known – 75 students selected only management and physics. 84 students selected only management and history. 52 students selected only physics and history. The number of students who selected only history is 137 less the number of students who selected only management. In total 238 students selected management as an elective. In total 240 students selected history as an elective.Q. How many students selected both management and physics as elective?a)84b)107c)75d)89e)98Correct answer is option 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams.
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Here you can find the meaning of InstructionsThere are 450 students in a college. Each student has to choose one or more elective out of management, history and physics. Further following information is also known – 75 students selected only management and physics. 84 students selected only management and history. 52 students selected only physics and history. The number of students who selected only history is 137 less the number of students who selected only management. In total 238 students selected management as an elective. In total 240 students selected history as an elective.Q. How many students selected both management and physics as elective?a)84b)107c)75d)89e)98Correct answer is option 'E'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
InstructionsThere are 450 students in a college. Each student has to choose one or more elective out of management, history and physics. Further following information is also known – 75 students selected only management and physics. 84 students selected only management and history. 52 students selected only physics and history. The number of students who selected only history is 137 less the number of students who selected only management. In total 238 students selected management as an elective. In total 240 students selected history as an elective.Q. How many students selected both management and physics as elective?a)84b)107c)75d)89e)98Correct answer is option 'E'. Can you explain this answer?, a detailed solution for InstructionsThere are 450 students in a college. Each student has to choose one or more elective out of management, history and physics. Further following information is also known – 75 students selected only management and physics. 84 students selected only management and history. 52 students selected only physics and history. The number of students who selected only history is 137 less the number of students who selected only management. In total 238 students selected management as an elective. In total 240 students selected history as an elective.Q. How many students selected both management and physics as elective?a)84b)107c)75d)89e)98Correct answer is option 'E'. Can you explain this answer? has been provided alongside types of InstructionsThere are 450 students in a college. Each student has to choose one or more elective out of management, history and physics. Further following information is also known – 75 students selected only management and physics. 84 students selected only management and history. 52 students selected only physics and history. The number of students who selected only history is 137 less the number of students who selected only management. In total 238 students selected management as an elective. In total 240 students selected history as an elective.Q. How many students selected both management and physics as elective?a)84b)107c)75d)89e)98Correct answer is option 'E'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice InstructionsThere are 450 students in a college. Each student has to choose one or more elective out of management, history and physics. Further following information is also known – 75 students selected only management and physics. 84 students selected only management and history. 52 students selected only physics and history. The number of students who selected only history is 137 less the number of students who selected only management. In total 238 students selected management as an elective. In total 240 students selected history as an elective.Q. How many students selected both management and physics as elective?a)84b)107c)75d)89e)98Correct answer is option 'E'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
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