CA Foundation Exam > CA Foundation Questions > A question paper contains 6 questions, each h...
Start Learning for Free
A question paper contains 6 questions, each having an alternative. The number of ways an examiner can answer one or more questions is
- a)720
- b)728
- c)729
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A question paper contains 6 questions, each having an alternative. The...
Ans.
View all questions of this test
Option (b)
For each question he has the choice to either leave the question, do the first alternative or do the second alternative.
Number of choices for each question =3.
Now there are six questions so total combinations = 3*3*3*3*3*3 = 3^6 =729
But the question states that he has to attempt at least one question so this leaves out the case when he doesn't attempt any question.
So no of ways =729-1 =728
Most Upvoted Answer
A question paper contains 6 questions, each having an alternative. The...
Solution:
The given problem can be solved using the concept of permutation and combination.
Total number of ways to answer 6 questions = 2^6 (as there are 2 options for each question)
But the question says "one or more questions", which means we have to subtract the cases where no questions are answered.
Number of ways to answer no question = 1 (i.e., not answering any question)
Therefore, the number of ways to answer one or more questions = 2^6 - 1 = 63
But the question asks for the number of ways an examiner can answer one or more questions, which means the examiner can answer any number of questions from 1 to 6.
Number of ways to answer one question = 6C1 = 6 (choosing 1 question from 6)
Number of ways to answer two questions = 6C2 = 15 (choosing 2 questions from 6)
Number of ways to answer three questions = 6C3 = 20 (choosing 3 questions from 6)
Number of ways to answer four questions = 6C4 = 15 (choosing 4 questions from 6)
Number of ways to answer five questions = 6C5 = 6 (choosing 5 questions from 6)
Number of ways to answer six questions = 6C6 = 1 (choosing all 6 questions)
Therefore, the total number of ways an examiner can answer one or more questions = 6 + 15 + 20 + 15 + 6 + 1 = 63
Hence, the correct option is (b) 728.
The given problem can be solved using the concept of permutation and combination.
Total number of ways to answer 6 questions = 2^6 (as there are 2 options for each question)
But the question says "one or more questions", which means we have to subtract the cases where no questions are answered.
Number of ways to answer no question = 1 (i.e., not answering any question)
Therefore, the number of ways to answer one or more questions = 2^6 - 1 = 63
But the question asks for the number of ways an examiner can answer one or more questions, which means the examiner can answer any number of questions from 1 to 6.
Number of ways to answer one question = 6C1 = 6 (choosing 1 question from 6)
Number of ways to answer two questions = 6C2 = 15 (choosing 2 questions from 6)
Number of ways to answer three questions = 6C3 = 20 (choosing 3 questions from 6)
Number of ways to answer four questions = 6C4 = 15 (choosing 4 questions from 6)
Number of ways to answer five questions = 6C5 = 6 (choosing 5 questions from 6)
Number of ways to answer six questions = 6C6 = 1 (choosing all 6 questions)
Therefore, the total number of ways an examiner can answer one or more questions = 6 + 15 + 20 + 15 + 6 + 1 = 63
Hence, the correct option is (b) 728.
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
A question paper contains 6 questions, each having an alternative. The number of ways an examiner can answer one or more questions isa)720b)728c)729d)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
A question paper contains 6 questions, each having an alternative. The number of ways an examiner can answer one or more questions isa)720b)728c)729d)None of theseCorrect answer is option 'B'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A question paper contains 6 questions, each having an alternative. The number of ways an examiner can answer one or more questions isa)720b)728c)729d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A question paper contains 6 questions, each having an alternative. The number of ways an examiner can answer one or more questions isa)720b)728c)729d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
A question paper contains 6 questions, each having an alternative. The number of ways an examiner can answer one or more questions isa)720b)728c)729d)None of theseCorrect answer is option 'B'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A question paper contains 6 questions, each having an alternative. The number of ways an examiner can answer one or more questions isa)720b)728c)729d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A question paper contains 6 questions, each having an alternative. The number of ways an examiner can answer one or more questions isa)720b)728c)729d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A question paper contains 6 questions, each having an alternative. The number of ways an examiner can answer one or more questions isa)720b)728c)729d)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of A question paper contains 6 questions, each having an alternative. The number of ways an examiner can answer one or more questions isa)720b)728c)729d)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A question paper contains 6 questions, each having an alternative. The number of ways an examiner can answer one or more questions isa)720b)728c)729d)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A question paper contains 6 questions, each having an alternative. The number of ways an examiner can answer one or more questions isa)720b)728c)729d)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A question paper contains 6 questions, each having an alternative. The number of ways an examiner can answer one or more questions isa)720b)728c)729d)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A question paper contains 6 questions, each having an alternative. The number of ways an examiner can answer one or more questions isa)720b)728c)729d)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup