Electronics and Communication Engineering (ECE) Exam  >  Electronics and Communication Engineering (ECE) Questions  >   From a group of 61 students, each student ap... Start Learning for Free
From a group of 61 students, each student appears for at least one of the 3 papers i.e.
GATE, ESE or SSC. Out of the students appearing for SSC, the number of students appearing for ONLY SSC is equal to the number of students who also appear for GATE.
The number of students who appear for only GATE is 3 more than the number of students who appear for all 3; number of students appear for ESE alone is higher than the previous number by 5.
If 32 students appear for ESE and 36 students appear for exactly ONE exam, then the number of students appearing for all 3 exams are _____.
  • a)
    4
  • b)
    2
  • c)
    6
  • d)
    8
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
From a group of 61 students, each student appears for at least one of...
Base on the diagram and information available,
c = f + g …(i)
a + b +c = 36
⇒ d + e + f + g = 61-36 = 25 …(ii)
a + b + c = 36
⇒ g + 3 + g + 8 + c = 36
⇒ 2g + c = 25 = 3g + f …(iii)
∵ b + d + e + g = 32
⇒ g + 8 + d + e + g = 32
⇒ d + e + g + g = 24
⇒ d + e + f + g + g = 24 + f = 25+g
⇒ f = g +1
∵ 3g + f = 25
⇒ 4g = 24
∴ g = 6
Free Test
Community Answer
From a group of 61 students, each student appears for at least one of...
Given information:
- Total number of students = 61
- Each student appears for at least one of the 3 papers (GATE, ESE, SSC)
- Number of students appearing for SSC = Number of students appearing for ONLY SSC
- Number of students appearing for ONLY SSC = Number of students appearing for GATE
- Number of students appearing for ONLY GATE = Number of students appearing for all 3 papers + 3
- Number of students appearing for ONLY ESE = Number of students appearing for all 3 papers + 5
- Number of students appearing for ESE = 32
- Number of students appearing for exactly ONE exam = 36

Let's solve the problem step by step:

Step 1:
Let's assume the number of students appearing for all 3 exams is 'x'.

Step 2:
Number of students appearing for ONLY SSC = Number of students appearing for SSC = x (Given)
Number of students appearing for ONLY GATE = Number of students appearing for GATE = x (Given)
Number of students appearing for ONLY ESE = Number of students appearing for ESE - Number of students appearing for all 3 papers = 32 - x (Given)

Step 3:
Number of students appearing for exactly ONE paper = Number of students appearing for ONLY SSC + Number of students appearing for ONLY GATE + Number of students appearing for ONLY ESE
36 = x + x + (32 - x)
36 = 2x + 32 - x
36 - 32 = x
4 = x

Therefore, the number of students appearing for all 3 exams is 4.

Hence, the correct answer is option 'C' (6).
Attention Electronics and Communication Engineering (ECE) Students!
To make sure you are not studying endlessly, EduRev has designed Electronics and Communication Engineering (ECE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electronics and Communication Engineering (ECE).
Explore Courses for Electronics and Communication Engineering (ECE) exam

Similar Electronics and Communication Engineering (ECE) Doubts

Top Courses for Electronics and Communication Engineering (ECE)

From a group of 61 students, each student appears for at least one of the 3 papers i.e.GATE, ESE or SSC. Out of the students appearing for SSC, the number of students appearing for ONLY SSC is equal to the number of students who also appear for GATE.The number of students who appear for only GATE is 3 more than the number of students who appear for all 3; number of students appear for ESE alone is higher than the previous number by 5.If 32 students appear for ESE and 36 students appear for exactly ONE exam, then the number of students appearing for all 3 exams are _____.a)4b)2c)6d)8Correct answer is option 'C'. Can you explain this answer?
Question Description
From a group of 61 students, each student appears for at least one of the 3 papers i.e.GATE, ESE or SSC. Out of the students appearing for SSC, the number of students appearing for ONLY SSC is equal to the number of students who also appear for GATE.The number of students who appear for only GATE is 3 more than the number of students who appear for all 3; number of students appear for ESE alone is higher than the previous number by 5.If 32 students appear for ESE and 36 students appear for exactly ONE exam, then the number of students appearing for all 3 exams are _____.a)4b)2c)6d)8Correct answer is option 'C'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about From a group of 61 students, each student appears for at least one of the 3 papers i.e.GATE, ESE or SSC. Out of the students appearing for SSC, the number of students appearing for ONLY SSC is equal to the number of students who also appear for GATE.The number of students who appear for only GATE is 3 more than the number of students who appear for all 3; number of students appear for ESE alone is higher than the previous number by 5.If 32 students appear for ESE and 36 students appear for exactly ONE exam, then the number of students appearing for all 3 exams are _____.a)4b)2c)6d)8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for From a group of 61 students, each student appears for at least one of the 3 papers i.e.GATE, ESE or SSC. Out of the students appearing for SSC, the number of students appearing for ONLY SSC is equal to the number of students who also appear for GATE.The number of students who appear for only GATE is 3 more than the number of students who appear for all 3; number of students appear for ESE alone is higher than the previous number by 5.If 32 students appear for ESE and 36 students appear for exactly ONE exam, then the number of students appearing for all 3 exams are _____.a)4b)2c)6d)8Correct answer is option 'C'. Can you explain this answer?.
Solutions for From a group of 61 students, each student appears for at least one of the 3 papers i.e.GATE, ESE or SSC. Out of the students appearing for SSC, the number of students appearing for ONLY SSC is equal to the number of students who also appear for GATE.The number of students who appear for only GATE is 3 more than the number of students who appear for all 3; number of students appear for ESE alone is higher than the previous number by 5.If 32 students appear for ESE and 36 students appear for exactly ONE exam, then the number of students appearing for all 3 exams are _____.a)4b)2c)6d)8Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electronics and Communication Engineering (ECE). Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free.
Here you can find the meaning of From a group of 61 students, each student appears for at least one of the 3 papers i.e.GATE, ESE or SSC. Out of the students appearing for SSC, the number of students appearing for ONLY SSC is equal to the number of students who also appear for GATE.The number of students who appear for only GATE is 3 more than the number of students who appear for all 3; number of students appear for ESE alone is higher than the previous number by 5.If 32 students appear for ESE and 36 students appear for exactly ONE exam, then the number of students appearing for all 3 exams are _____.a)4b)2c)6d)8Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of From a group of 61 students, each student appears for at least one of the 3 papers i.e.GATE, ESE or SSC. Out of the students appearing for SSC, the number of students appearing for ONLY SSC is equal to the number of students who also appear for GATE.The number of students who appear for only GATE is 3 more than the number of students who appear for all 3; number of students appear for ESE alone is higher than the previous number by 5.If 32 students appear for ESE and 36 students appear for exactly ONE exam, then the number of students appearing for all 3 exams are _____.a)4b)2c)6d)8Correct answer is option 'C'. Can you explain this answer?, a detailed solution for From a group of 61 students, each student appears for at least one of the 3 papers i.e.GATE, ESE or SSC. Out of the students appearing for SSC, the number of students appearing for ONLY SSC is equal to the number of students who also appear for GATE.The number of students who appear for only GATE is 3 more than the number of students who appear for all 3; number of students appear for ESE alone is higher than the previous number by 5.If 32 students appear for ESE and 36 students appear for exactly ONE exam, then the number of students appearing for all 3 exams are _____.a)4b)2c)6d)8Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of From a group of 61 students, each student appears for at least one of the 3 papers i.e.GATE, ESE or SSC. Out of the students appearing for SSC, the number of students appearing for ONLY SSC is equal to the number of students who also appear for GATE.The number of students who appear for only GATE is 3 more than the number of students who appear for all 3; number of students appear for ESE alone is higher than the previous number by 5.If 32 students appear for ESE and 36 students appear for exactly ONE exam, then the number of students appearing for all 3 exams are _____.a)4b)2c)6d)8Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice From a group of 61 students, each student appears for at least one of the 3 papers i.e.GATE, ESE or SSC. Out of the students appearing for SSC, the number of students appearing for ONLY SSC is equal to the number of students who also appear for GATE.The number of students who appear for only GATE is 3 more than the number of students who appear for all 3; number of students appear for ESE alone is higher than the previous number by 5.If 32 students appear for ESE and 36 students appear for exactly ONE exam, then the number of students appearing for all 3 exams are _____.a)4b)2c)6d)8Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Electronics and Communication Engineering (ECE) tests.
Explore Courses for Electronics and Communication Engineering (ECE) exam

Top Courses for Electronics and Communication Engineering (ECE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev