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To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test?
- a)30,000
- b)2,70,000
- c)3,90,000
- d)4,20,000
Correct answer is option 'D'. Can you explain this answer?
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d)4,20,000
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Given Information:
- Total number of candidates: 6,30,000
- Question A correctly answered by: 3,30,000 candidates
- Question B correctly answered by: 2,50,000 candidates
- Question C correctly answered by: 2,60,000 candidates
- Both questions A and B correctly answered by: 1,00,000 candidates
- Both questions B and C correctly answered by: 90,000 candidates
- Both questions A and C correctly answered by: 80,000 candidates
- Number of candidates answering all questions correctly is the same as the number answering none.
Approach:
To find the number of candidates who failed to clear the test, we need to determine the number of candidates who answered fewer than 2 questions correctly. We can find this by subtracting the number of candidates who answered 2 or 3 questions correctly from the total number of candidates.
Solution:
- Total number of candidates = 6,30,000
- Number of candidates who answered both questions A and B correctly = 1,00,000
- Number of candidates who answered both questions B and C correctly = 90,000
- Number of candidates who answered both questions A and C correctly = 80,000
Number of candidates who answered at least 2 questions correctly:
To find this, we need to add the candidates who answered both questions A and B, both questions B and C, both questions A and C, and the candidates who answered all three questions correctly.
- Number of candidates who answered all three questions correctly = x (let's assume)
- Number of candidates who answered at least 2 questions correctly = (1,00,000 + 90,000 + 80,000 + x) = (2,70,000 + x)
Number of candidates who answered only one question correctly:
To find this, we need to subtract the candidates who answered at least 2 questions correctly from the total number of candidates who answered each individual question correctly.
- Number of candidates who answered only question A correctly = (3,30,000 - 1,00,000 - 80,000) = 1,50,000
- Number of candidates who answered only question B correctly = (2,50,000 - 1,00,000 - 90,000) = 60,000
- Number of candidates who answered only question C correctly = (2,60,000 - 80,000 - 90,000) = 90,000
Number of candidates who failed to clear the test:
To find this, we need to subtract the number of candidates who answered at least 2 questions correctly from the total number of candidates.
- Number of candidates who failed to clear the test = (6,30,000 - (2,70,000 + x))
Given that the number of students answering all questions correctly is the same as the number answering none, we can write:
- x = Number of candidates who failed to clear the test
Hence, the correct answer is option 'D' (4,20,000).
- Total number of candidates: 6,30,000
- Question A correctly answered by: 3,30,000 candidates
- Question B correctly answered by: 2,50,000 candidates
- Question C correctly answered by: 2,60,000 candidates
- Both questions A and B correctly answered by: 1,00,000 candidates
- Both questions B and C correctly answered by: 90,000 candidates
- Both questions A and C correctly answered by: 80,000 candidates
- Number of candidates answering all questions correctly is the same as the number answering none.
Approach:
To find the number of candidates who failed to clear the test, we need to determine the number of candidates who answered fewer than 2 questions correctly. We can find this by subtracting the number of candidates who answered 2 or 3 questions correctly from the total number of candidates.
Solution:
- Total number of candidates = 6,30,000
- Number of candidates who answered both questions A and B correctly = 1,00,000
- Number of candidates who answered both questions B and C correctly = 90,000
- Number of candidates who answered both questions A and C correctly = 80,000
Number of candidates who answered at least 2 questions correctly:
To find this, we need to add the candidates who answered both questions A and B, both questions B and C, both questions A and C, and the candidates who answered all three questions correctly.
- Number of candidates who answered all three questions correctly = x (let's assume)
- Number of candidates who answered at least 2 questions correctly = (1,00,000 + 90,000 + 80,000 + x) = (2,70,000 + x)
Number of candidates who answered only one question correctly:
To find this, we need to subtract the candidates who answered at least 2 questions correctly from the total number of candidates who answered each individual question correctly.
- Number of candidates who answered only question A correctly = (3,30,000 - 1,00,000 - 80,000) = 1,50,000
- Number of candidates who answered only question B correctly = (2,50,000 - 1,00,000 - 90,000) = 60,000
- Number of candidates who answered only question C correctly = (2,60,000 - 80,000 - 90,000) = 90,000
Number of candidates who failed to clear the test:
To find this, we need to subtract the number of candidates who answered at least 2 questions correctly from the total number of candidates.
- Number of candidates who failed to clear the test = (6,30,000 - (2,70,000 + x))
Given that the number of students answering all questions correctly is the same as the number answering none, we can write:
- x = Number of candidates who failed to clear the test
Hence, the correct answer is option 'D' (4,20,000).
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To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test?a)30,000b)2,70,000c)3,90,000d)4,20,000Correct answer is option 'D'. Can you explain this answer?
Question Description
To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test?a)30,000b)2,70,000c)3,90,000d)4,20,000Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test?a)30,000b)2,70,000c)3,90,000d)4,20,000Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test?a)30,000b)2,70,000c)3,90,000d)4,20,000Correct answer is option 'D'. Can you explain this answer?.
To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test?a)30,000b)2,70,000c)3,90,000d)4,20,000Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test?a)30,000b)2,70,000c)3,90,000d)4,20,000Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test?a)30,000b)2,70,000c)3,90,000d)4,20,000Correct answer is option 'D'. Can you explain this answer?.
Solutions for To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test?a)30,000b)2,70,000c)3,90,000d)4,20,000Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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