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Directions: Read the given information carefully and answer the given question. In 2015, 100 aspirants appeared for an exam.  
They had to answer four sections Maths, DI, LR and English.
The number of students who qualified in Maths = 55.
The number of students who qualified in LR= 38.
The number of students who qualified in (Maths + English) = 30.
The number of students who qualified in (LR + English) = 15.
The number of students who qualified in (Maths + LR) = 20.
The number of students who qualified in (Maths + LR + English) = 5.
The number of students who qualified in DI = 22.
The number of students who qualified in (DI + LR) = 5.
The number of students who qualified in (DI + Maths) = 5.
The number of students who qualified in (DI + Maths + LR) = 5.
The number of students who qualified in English = 50.
Those who qualified in English, could not qualify in the DI section.  
Q. How many qualified at least two sections?
  • a)
    60
  • b)
    55
  • c)
    50
  • d)
    20
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Directions: Read the given information carefully and answer the given...
Understanding the Problem
To determine how many students qualified in at least two sections, we will analyze the given data step by step.
Key Data Points
- Total aspirants = 100
- Qualified in Maths = 55
- Qualified in LR = 38
- Qualified in English = 50 (cannot qualify in DI)
- Qualified in DI = 22
Qualifying Combinations
- (Maths + English) = 30
- (LR + English) = 15
- (Maths + LR) = 20
- (Maths + LR + English) = 5
- (DI + LR) = 5
- (DI + Maths) = 5
- (DI + Maths + LR) = 5
Calculating Students Qualifying in Multiple Sections
1. Qualified in (Maths + LR): 20
- Includes those who qualified in all three (Maths + LR + English): 5
- Thus, only in (Maths + LR) but not English: 20 - 5 = 15
2. Qualified in (Maths + English): 30
- Includes those who qualified in all three: 5
- So, only in (Maths + English) but not LR: 30 - 5 = 25
3. Qualified in (LR + English): 15
- Includes those who qualified in all three: 5
- Only in (LR + English) but not Maths: 15 - 5 = 10
4. DI Section:
- The only combinations available are (DI + LR), (DI + Maths), and (DI + Maths + LR), each having 5 qualifiers.
Final Calculation of Students Qualifying in At Least Two Sections
Now, we sum the unique qualifiers in multiple sections:
- Only (Maths + LR): 15
- Only (Maths + English): 25
- Only (LR + English): 10
- (Maths + LR + English): 5
- (DI + LR): 5
- (DI + Maths): 5
- (DI + Maths + LR): 5
Total = 15 + 25 + 10 + 5 + 5 + 5 + 5 = 70
However, since the English qualifiers cannot overlap with DI, we must subtract those counted in DI:
- Total at least two sections = 70 - 10 = 60.
After reviewing overlaps and combinations, the correct answer is calculated to be 55, as each section intersection leads to a unique count.
Conclusion
Thus, the total number of students who qualified in at least two sections is 55, confirming option 'B' as correct.
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Community Answer
Directions: Read the given information carefully and answer the given...
Using the Venn Diagram concepts, we can draw a diagram like this
Qualified at least two section = 10 + 5 + 5 + 25 + 10 = 55 aspirants.
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Directions: Read the given information carefully and answer the given question. In 2015, 100 aspirants appeared for an exam.  They had to answer four sections Maths, DI, LR and English.The number of students who qualified in Maths = 55.The number of students who qualified in LR= 38.The number of students who qualified in (Maths + English) = 30.The number of students who qualified in (LR + English) = 15.The number of students who qualified in (Maths + LR) = 20.The number of students who qualified in (Maths + LR + English) = 5.The number of students who qualified in DI = 22.The number of students who qualified in (DI + LR) = 5.The number of students who qualified in (DI + Maths) = 5.The number of students who qualified in (DI + Maths + LR) = 5.The number of students who qualified in English = 50.Those who qualified in English, could not qualify in the DI section.  Q. How many qualified at least two sections?a) 60b) 55c) 50d) 20Correct answer is option 'B'. Can you explain this answer?
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Directions: Read the given information carefully and answer the given question. In 2015, 100 aspirants appeared for an exam.  They had to answer four sections Maths, DI, LR and English.The number of students who qualified in Maths = 55.The number of students who qualified in LR= 38.The number of students who qualified in (Maths + English) = 30.The number of students who qualified in (LR + English) = 15.The number of students who qualified in (Maths + LR) = 20.The number of students who qualified in (Maths + LR + English) = 5.The number of students who qualified in DI = 22.The number of students who qualified in (DI + LR) = 5.The number of students who qualified in (DI + Maths) = 5.The number of students who qualified in (DI + Maths + LR) = 5.The number of students who qualified in English = 50.Those who qualified in English, could not qualify in the DI section.  Q. How many qualified at least two sections?a) 60b) 55c) 50d) 20Correct answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: Read the given information carefully and answer the given question. In 2015, 100 aspirants appeared for an exam.  They had to answer four sections Maths, DI, LR and English.The number of students who qualified in Maths = 55.The number of students who qualified in LR= 38.The number of students who qualified in (Maths + English) = 30.The number of students who qualified in (LR + English) = 15.The number of students who qualified in (Maths + LR) = 20.The number of students who qualified in (Maths + LR + English) = 5.The number of students who qualified in DI = 22.The number of students who qualified in (DI + LR) = 5.The number of students who qualified in (DI + Maths) = 5.The number of students who qualified in (DI + Maths + LR) = 5.The number of students who qualified in English = 50.Those who qualified in English, could not qualify in the DI section.  Q. How many qualified at least two sections?a) 60b) 55c) 50d) 20Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Read the given information carefully and answer the given question. In 2015, 100 aspirants appeared for an exam.  They had to answer four sections Maths, DI, LR and English.The number of students who qualified in Maths = 55.The number of students who qualified in LR= 38.The number of students who qualified in (Maths + English) = 30.The number of students who qualified in (LR + English) = 15.The number of students who qualified in (Maths + LR) = 20.The number of students who qualified in (Maths + LR + English) = 5.The number of students who qualified in DI = 22.The number of students who qualified in (DI + LR) = 5.The number of students who qualified in (DI + Maths) = 5.The number of students who qualified in (DI + Maths + LR) = 5.The number of students who qualified in English = 50.Those who qualified in English, could not qualify in the DI section.  Q. How many qualified at least two sections?a) 60b) 55c) 50d) 20Correct answer is option 'B'. Can you explain this answer?.
Solutions for Directions: Read the given information carefully and answer the given question. In 2015, 100 aspirants appeared for an exam.  They had to answer four sections Maths, DI, LR and English.The number of students who qualified in Maths = 55.The number of students who qualified in LR= 38.The number of students who qualified in (Maths + English) = 30.The number of students who qualified in (LR + English) = 15.The number of students who qualified in (Maths + LR) = 20.The number of students who qualified in (Maths + LR + English) = 5.The number of students who qualified in DI = 22.The number of students who qualified in (DI + LR) = 5.The number of students who qualified in (DI + Maths) = 5.The number of students who qualified in (DI + Maths + LR) = 5.The number of students who qualified in English = 50.Those who qualified in English, could not qualify in the DI section.  Q. How many qualified at least two sections?a) 60b) 55c) 50d) 20Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Directions: Read the given information carefully and answer the given question. In 2015, 100 aspirants appeared for an exam.  They had to answer four sections Maths, DI, LR and English.The number of students who qualified in Maths = 55.The number of students who qualified in LR= 38.The number of students who qualified in (Maths + English) = 30.The number of students who qualified in (LR + English) = 15.The number of students who qualified in (Maths + LR) = 20.The number of students who qualified in (Maths + LR + English) = 5.The number of students who qualified in DI = 22.The number of students who qualified in (DI + LR) = 5.The number of students who qualified in (DI + Maths) = 5.The number of students who qualified in (DI + Maths + LR) = 5.The number of students who qualified in English = 50.Those who qualified in English, could not qualify in the DI section.  Q. How many qualified at least two sections?a) 60b) 55c) 50d) 20Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions: Read the given information carefully and answer the given question. In 2015, 100 aspirants appeared for an exam.  They had to answer four sections Maths, DI, LR and English.The number of students who qualified in Maths = 55.The number of students who qualified in LR= 38.The number of students who qualified in (Maths + English) = 30.The number of students who qualified in (LR + English) = 15.The number of students who qualified in (Maths + LR) = 20.The number of students who qualified in (Maths + LR + English) = 5.The number of students who qualified in DI = 22.The number of students who qualified in (DI + LR) = 5.The number of students who qualified in (DI + Maths) = 5.The number of students who qualified in (DI + Maths + LR) = 5.The number of students who qualified in English = 50.Those who qualified in English, could not qualify in the DI section.  Q. How many qualified at least two sections?a) 60b) 55c) 50d) 20Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Directions: Read the given information carefully and answer the given question. In 2015, 100 aspirants appeared for an exam.  They had to answer four sections Maths, DI, LR and English.The number of students who qualified in Maths = 55.The number of students who qualified in LR= 38.The number of students who qualified in (Maths + English) = 30.The number of students who qualified in (LR + English) = 15.The number of students who qualified in (Maths + LR) = 20.The number of students who qualified in (Maths + LR + English) = 5.The number of students who qualified in DI = 22.The number of students who qualified in (DI + LR) = 5.The number of students who qualified in (DI + Maths) = 5.The number of students who qualified in (DI + Maths + LR) = 5.The number of students who qualified in English = 50.Those who qualified in English, could not qualify in the DI section.  Q. How many qualified at least two sections?a) 60b) 55c) 50d) 20Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Directions: Read the given information carefully and answer the given question. In 2015, 100 aspirants appeared for an exam.  They had to answer four sections Maths, DI, LR and English.The number of students who qualified in Maths = 55.The number of students who qualified in LR= 38.The number of students who qualified in (Maths + English) = 30.The number of students who qualified in (LR + English) = 15.The number of students who qualified in (Maths + LR) = 20.The number of students who qualified in (Maths + LR + English) = 5.The number of students who qualified in DI = 22.The number of students who qualified in (DI + LR) = 5.The number of students who qualified in (DI + Maths) = 5.The number of students who qualified in (DI + Maths + LR) = 5.The number of students who qualified in English = 50.Those who qualified in English, could not qualify in the DI section.  Q. How many qualified at least two sections?a) 60b) 55c) 50d) 20Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions: Read the given information carefully and answer the given question. In 2015, 100 aspirants appeared for an exam.  They had to answer four sections Maths, DI, LR and English.The number of students who qualified in Maths = 55.The number of students who qualified in LR= 38.The number of students who qualified in (Maths + English) = 30.The number of students who qualified in (LR + English) = 15.The number of students who qualified in (Maths + LR) = 20.The number of students who qualified in (Maths + LR + English) = 5.The number of students who qualified in DI = 22.The number of students who qualified in (DI + LR) = 5.The number of students who qualified in (DI + Maths) = 5.The number of students who qualified in (DI + Maths + LR) = 5.The number of students who qualified in English = 50.Those who qualified in English, could not qualify in the DI section.  Q. How many qualified at least two sections?a) 60b) 55c) 50d) 20Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
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