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 There are 2500 students who appeared for an examination. Out of these, 35% students failed in 1 subject and 42% in other subject and 15% of students failed in both the subjects. How many of the students passed in either of the 2 subjects but not in both?
  • a)
    1925
  • b)
    1175
  • c)
    1275
  • d)
    1100
  • e)
    1800
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
There are 2500 students who appeared for an examination. Out of these,...
B) 1175
Explanation: Failed in 1st subject = (35/100) * 2500 = 875 Failed in 1st subject = (42/100) * 2500 = 1050 Failed in both = (15/100) * 2500 = 375 So failed in 1st subject only = 875 – 375 = 500 failed in 2nd subject only = 1050 – 375 = 675 passed in 1st only + passed In 2nd only = 675+500
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There are 2500 students who appeared for an examination. Out of these,...
B) 1175
Explanation: Failed in 1st subject = (35/100) * 2500 = 875 Failed in 1st subject = (42/100) * 2500 = 1050 Failed in both = (15/100) * 2500 = 375 So failed in 1st subject only = 875 – 375 = 500 failed in 2nd subject only = 1050 – 375 = 675 passed in 1st only + passed In 2nd only = 675+500
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There are 2500 students who appeared for an examination. Out of these,...
Solution:

Given,
Total number of students appeared for an examination = 2500

Let A be the event of failing in subject A and B be the event of failing in subject B.

Therefore,
Number of students failed in subject A = 35% of 2500 = (35/100) x 2500 = 875
Number of students failed in subject B = 42% of 2500 = (42/100) x 2500 = 1050
Number of students failed in both the subjects = 15% of 2500 = (15/100) x 2500 = 375

Now,
Number of students passed in either of the 2 subjects but not in both = (Total number of students) - (Number of students failed in subject A) - (Number of students failed in subject B) + (Number of students failed in both the subjects)

= 2500 - 875 - 1050 + 375
= 1175

Hence, the correct answer is option B, i.e., 1175.
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There are 2500 students who appeared for an examination. Out of these, 35% students failed in 1 subject and 42% in other subject and 15% of students failed in both the subjects. How many of the students passed in either of the 2 subjects but not in both?a)1925b)1175c)1275d)1100e)1800Correct answer is option 'B'. Can you explain this answer?
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