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400 students were admitted to the 2018-19 MBA batch. 200 of them did not choose “Business Statistics”. 100 of them did not choose “International Management’. There were 80 students who did not choose any of the two subjects. Find the number of students who chose both Business Statistics and International Management.
- a)220
- b)180
- c)280
- d)300
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
400 students were admitted to the 2018-19 MBA batch. 200 of them did n...
Number of students who chose Business statistics = 400 − 200 = 200
Number of students who chose International Management = 400 − 100 = 300
Number of students who chose at least one of the two subjects = 400 − 80 = 320
∴ Number of students who chose both the subjects = 200 + 300 − 320 = 500 − 320 = 180
Hence, option (b).
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400 students were admitted to the 2018-19 MBA batch. 200 of them did n...
Given Information:
- Total number of students admitted to the 2018-19 MBA batch = 400
- Number of students who did not choose "Business Statistics" = 200
- Number of students who did not choose "International Management" = 100
- Number of students who did not choose either subject = 80
Calculations:
Let's denote:
- Number of students who chose both "Business Statistics" and "International Management" as x
- Number of students who chose only "Business Statistics" as y
- Number of students who chose only "International Management" as z
From the given information, we can create the following equations:
x + y = 200 (Total number of students who chose "Business Statistics")
x + z = 100 (Total number of students who chose "International Management")
x + y + z + 80 = 400 (Total number of students admitted)
Now, we can solve these equations to find the values of x, y, and z.
From the first two equations:
y = 200 - x
z = 100 - x
Substitute these values in the third equation:
x + (200 - x) + (100 - x) + 80 = 400
300 - x + 80 = 400
380 - x = 400
-x = 20
x = 20
Therefore, the number of students who chose both "Business Statistics" and "International Management" is 20.
Therefore, the correct answer is option B) 180.
- Total number of students admitted to the 2018-19 MBA batch = 400
- Number of students who did not choose "Business Statistics" = 200
- Number of students who did not choose "International Management" = 100
- Number of students who did not choose either subject = 80
Calculations:
Let's denote:
- Number of students who chose both "Business Statistics" and "International Management" as x
- Number of students who chose only "Business Statistics" as y
- Number of students who chose only "International Management" as z
From the given information, we can create the following equations:
x + y = 200 (Total number of students who chose "Business Statistics")
x + z = 100 (Total number of students who chose "International Management")
x + y + z + 80 = 400 (Total number of students admitted)
Now, we can solve these equations to find the values of x, y, and z.
From the first two equations:
y = 200 - x
z = 100 - x
Substitute these values in the third equation:
x + (200 - x) + (100 - x) + 80 = 400
300 - x + 80 = 400
380 - x = 400
-x = 20
x = 20
Therefore, the number of students who chose both "Business Statistics" and "International Management" is 20.
Therefore, the correct answer is option B) 180.
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400 students were admitted to the 2018-19 MBA batch. 200 of them did not choose “Business Statistics”. 100 of them did not choose “International Management’. There were 80 students who did not choose any of the two subjects. Find the number of students who chose both Business Statistics and International Management.a)220b)180c)280d)300Correct answer is option 'B'. Can you explain this answer?
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