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The problem consists of a question followed by 2 statements. Check whether the statements are sufficient to answer the question. Choose the option accordingly.
There are 3 Subjects: English, History and Geography and there are a total of 100 students in the class. The number of students who passed only in English is 15 and 40 students passed in all the three subjects. How many students passed in English?
I. There are 65 students who passed in at least 2 subjects. 10 students failed in all subjects and the number of students who passed only in History is equal to the number of students who passed only in Geography
II. 50 students passed in both English and History and 50 students passed in both History and Geography. Number of students who passed in English and Geography but not history is equal to the number of students who passed only in history.
  • a)
    Statement I alone is sufficient, but Statement II alone is not sufficient to answer the question.
  • b)
    Statement II alone is sufficient, but Statement I alone is not sufficient to answer the question.
  • c)
    Both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
  • d)
    Either statement alone is sufficient
  • e)
    Both statements together are not sufficient to answer the question.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The problem consists of a question followed by 2 statements. Check wh...
We mark the various regions be a, b, c, .. and f.
Given, c + d + e + 40 = 65
=> d + e + c = 25
f = 10 and a = b
We know, a + b + c + d + e + f + 15 + 40 = 100
=> 2a + 25 + 10 + 15 + 40 = 100
=> a = 5
But the values of c and d cannot be found out.
From Statement II:
d + 40 = 50
=> d = 10
e + 40 = 50
=> e = 10
c = a
But the value of c cannot be found out.
Using both statements together:
a = 5
c = a = 5
d = 10
Number of students who passed in English = 15 + c + d + 40 = 15+5+10+40
= 70
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Most Upvoted Answer
The problem consists of a question followed by 2 statements. Check wh...
We mark the various regions be a, b, c, .. and f.
Given, c + d + e + 40 = 65
=> d + e + c = 25
f = 10 and a = b
We know, a + b + c + d + e + f + 15 + 40 = 100
=> 2a + 25 + 10 + 15 + 40 = 100
=> a = 5
But the values of c and d cannot be found out.
From Statement II:
d + 40 = 50
=> d = 10
e + 40 = 50
=> e = 10
c = a
But the value of c cannot be found out.
Using both statements together:
a = 5
c = a = 5
d = 10
Number of students who passed in English = 15 + c + d + 40 = 15+5+10+40
= 70
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Community Answer
The problem consists of a question followed by 2 statements. Check wh...
We mark the various regions be a, b, c, .. and f.
Given, c + d + e + 40 = 65
=> d + e + c = 25
f = 10 and a = b
We know, a + b + c + d + e + f + 15 + 40 = 100
=> 2a + 25 + 10 + 15 + 40 = 100
=> a = 5
But the values of c and d cannot be found out.
From Statement II:
d + 40 = 50
=> d = 10
e + 40 = 50
=> e = 10
c = a
But the value of c cannot be found out.
Using both statements together:
a = 5
c = a = 5
d = 10
Number of students who passed in English = 15 + c + d + 40 = 15+5+10+40
= 70
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The problem consists of a question followed by 2 statements. Check whether the statements are sufficient to answer the question. Choose the option accordingly.There are 3 Subjects: English, History and Geography and there are a total of 100 students in the class. The number of students who passed only in English is 15 and 40 students passed in all the three subjects. How many students passed in English?I. There are 65 students who passed in at least 2 subjects. 10 students failed in all subjects and the number of students who passed only in History is equal to the number of students who passed only in GeographyII. 50 students passed in both English and History and 50 students passed in both History and Geography. Number of students who passed in English and Geography but not history is equal to the number of students who passed only in history.a)Statement I alone is sufficient, but Statement II alone is not sufficient to answer the question.b)Statement II alone is sufficient, but Statement I alone is not sufficient to answer the question.c)Both statements taken together are sufficient to answer the question, but neither statement alone is sufficientd)Either statement alone is sufficiente)Both statements together are not sufficient to answer the question.Correct answer is option 'C'. Can you explain this answer?
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The problem consists of a question followed by 2 statements. Check whether the statements are sufficient to answer the question. Choose the option accordingly.There are 3 Subjects: English, History and Geography and there are a total of 100 students in the class. The number of students who passed only in English is 15 and 40 students passed in all the three subjects. How many students passed in English?I. There are 65 students who passed in at least 2 subjects. 10 students failed in all subjects and the number of students who passed only in History is equal to the number of students who passed only in GeographyII. 50 students passed in both English and History and 50 students passed in both History and Geography. Number of students who passed in English and Geography but not history is equal to the number of students who passed only in history.a)Statement I alone is sufficient, but Statement II alone is not sufficient to answer the question.b)Statement II alone is sufficient, but Statement I alone is not sufficient to answer the question.c)Both statements taken together are sufficient to answer the question, but neither statement alone is sufficientd)Either statement alone is sufficiente)Both statements together are not sufficient to answer the question.Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The problem consists of a question followed by 2 statements. Check whether the statements are sufficient to answer the question. Choose the option accordingly.There are 3 Subjects: English, History and Geography and there are a total of 100 students in the class. The number of students who passed only in English is 15 and 40 students passed in all the three subjects. How many students passed in English?I. There are 65 students who passed in at least 2 subjects. 10 students failed in all subjects and the number of students who passed only in History is equal to the number of students who passed only in GeographyII. 50 students passed in both English and History and 50 students passed in both History and Geography. Number of students who passed in English and Geography but not history is equal to the number of students who passed only in history.a)Statement I alone is sufficient, but Statement II alone is not sufficient to answer the question.b)Statement II alone is sufficient, but Statement I alone is not sufficient to answer the question.c)Both statements taken together are sufficient to answer the question, but neither statement alone is sufficientd)Either statement alone is sufficiente)Both statements together are not sufficient to answer the question.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The problem consists of a question followed by 2 statements. Check whether the statements are sufficient to answer the question. Choose the option accordingly.There are 3 Subjects: English, History and Geography and there are a total of 100 students in the class. The number of students who passed only in English is 15 and 40 students passed in all the three subjects. How many students passed in English?I. There are 65 students who passed in at least 2 subjects. 10 students failed in all subjects and the number of students who passed only in History is equal to the number of students who passed only in GeographyII. 50 students passed in both English and History and 50 students passed in both History and Geography. Number of students who passed in English and Geography but not history is equal to the number of students who passed only in history.a)Statement I alone is sufficient, but Statement II alone is not sufficient to answer the question.b)Statement II alone is sufficient, but Statement I alone is not sufficient to answer the question.c)Both statements taken together are sufficient to answer the question, but neither statement alone is sufficientd)Either statement alone is sufficiente)Both statements together are not sufficient to answer the question.Correct answer is option 'C'. Can you explain this answer?.
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Number of students who passed in English and Geography but not history is equal to the number of students who passed only in history.a)Statement I alone is sufficient, but Statement II alone is not sufficient to answer the question.b)Statement II alone is sufficient, but Statement I alone is not sufficient to answer the question.c)Both statements taken together are sufficient to answer the question, but neither statement alone is sufficientd)Either statement alone is sufficiente)Both statements together are not sufficient to answer the question.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The problem consists of a question followed by 2 statements. Check whether the statements are sufficient to answer the question. Choose the option accordingly.There are 3 Subjects: English, History and Geography and there are a total of 100 students in the class. 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Number of students who passed in English and Geography but not history is equal to the number of students who passed only in history.a)Statement I alone is sufficient, but Statement II alone is not sufficient to answer the question.b)Statement II alone is sufficient, but Statement I alone is not sufficient to answer the question.c)Both statements taken together are sufficient to answer the question, but neither statement alone is sufficientd)Either statement alone is sufficiente)Both statements together are not sufficient to answer the question.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The problem consists of a question followed by 2 statements. Check whether the statements are sufficient to answer the question. Choose the option accordingly.There are 3 Subjects: English, History and Geography and there are a total of 100 students in the class. 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Number of students who passed in English and Geography but not history is equal to the number of students who passed only in history.a)Statement I alone is sufficient, but Statement II alone is not sufficient to answer the question.b)Statement II alone is sufficient, but Statement I alone is not sufficient to answer the question.c)Both statements taken together are sufficient to answer the question, but neither statement alone is sufficientd)Either statement alone is sufficiente)Both statements together are not sufficient to answer the question.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The problem consists of a question followed by 2 statements. Check whether the statements are sufficient to answer the question. Choose the option accordingly.There are 3 Subjects: English, History and Geography and there are a total of 100 students in the class. 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Number of students who passed in English and Geography but not history is equal to the number of students who passed only in history.a)Statement I alone is sufficient, but Statement II alone is not sufficient to answer the question.b)Statement II alone is sufficient, but Statement I alone is not sufficient to answer the question.c)Both statements taken together are sufficient to answer the question, but neither statement alone is sufficientd)Either statement alone is sufficiente)Both statements together are not sufficient to answer the question.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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