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The student fest in an Ganguram Engineering College is to be held in one month's time and no sponsorship has yet been arranged by the students. Finally the General Secretary  of the student body took the initiative and decided to go alone for sponsorship collection. In fact, he is the only student doing t he fund raising job on the first day. However, seeing his enthusiasm, other students also joined him as follows: on the second day, 2 more students join him: on the third day. 3 more students join the group of the previous day, and so on. In this manner, the sponsorship collection is completed in exactly 20 days. If an MBA student is twice as efficient as an Engineering student, the number of days which ll MBA students would take to do the some activity, is:
  • a)
    70        
  • b)
    80        
  • c)
    90        
  • d)
    100
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The student fest in an Ganguram Engineering College is to be held in o...
no. of days No. of student
Here, 1st day raising fund= 1
2nd day raising fund by = 1 + 2
3rd day raising fund by = 1 + 2 + 3
4th day raising fund by = 1 + 2 + 3 + 4
5th day raising fund by = 1 + 2 + 3 + 4 + 5
.
.
.
20th day raising fund is completed
= 1 + 2 + 3 + 4 + 5 + ......... + 20
So, sequence is
= 1 + (1 + 2) + (1 + 2 + 3) + (1 + 2 + 3 + 4 + 5) +… … … (1 + 2 + 3 + 4 + 5 + … 20)
So, sequence is
= 1 + (1 + 2) + (1 + 2 + 3) + (1 + 2 + 3 + 4 + 5) +… … … (1 + 2 + 3 + 4 + 5 + … 20)
This can be written as 

We know that sum of square of natural number

Here n = 20

= So, total no of students = 1540
Now, Efficiency of MBA student is double as compared to B.Tech student.
no. of total days = 1540/2 x 11 = 70 days.
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Most Upvoted Answer
The student fest in an Ganguram Engineering College is to be held in o...
To solve this problem, let's break it down step by step:

Step 1: Understanding the given information
- The General Secretary of the student body started the sponsorship collection alone on the first day.
- On the second day, 2 more students joined him.
- On the third day, 3 more students joined the group of the previous day.
- This pattern continues until the sponsorship collection is completed in exactly 20 days.

Step 2: Finding the total number of students on the 20th day
- On the first day, there is 1 student.
- On the second day, there are 1 + 2 = 3 students.
- On the third day, there are 3 + 3 = 6 students.
- Continuing this pattern, on the 20th day, there will be 1 + 2 + 3 + ... + 19 + 20 students.
- The sum of the first n natural numbers is given by the formula: n(n+1)/2.
- So, on the 20th day, there will be 20(20+1)/2 = 210 students.

Step 3: Determining the efficiency of an MBA student compared to an Engineering student
- The problem states that an MBA student is twice as efficient as an Engineering student.
- This means that an MBA student can collect twice as much sponsorship as an Engineering student in the same amount of time.

Step 4: Calculating the number of days required for all MBA students to collect the same amount of sponsorship
- Since an MBA student is twice as efficient as an Engineering student, it would take half the time for an MBA student to collect the same amount of sponsorship.
- Therefore, the number of days required for all MBA students to collect the same amount of sponsorship would be 20/2 = 10 days.

Therefore, the correct answer is option A) 70, as an MBA student would take 10 days to complete the same activity.
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The student fest in an Ganguram Engineering College is to be held in one months time and no sponsorship has yet been arranged by the students. Finally the General Secretary of the student body took the initiative and decided to go alone for sponsorship collection. In fact, he is the only student doing t he fund raising job on the first day. However, seeing his enthusiasm, other students also joined him as follows: on the second day, 2 more students join him: on the third day. 3 more students join the group of the previous day, and so on. In this manner, the sponsorship collection is completed in exactly 20 days. If an MBA student is twice as efficient as an Engineering student, the number of days which ll MBA students would take to do the some activity, is:a)70 b)80 c)90 d)100Correct answer is option 'A'. Can you explain this answer?
Question Description
The student fest in an Ganguram Engineering College is to be held in one months time and no sponsorship has yet been arranged by the students. Finally the General Secretary of the student body took the initiative and decided to go alone for sponsorship collection. In fact, he is the only student doing t he fund raising job on the first day. However, seeing his enthusiasm, other students also joined him as follows: on the second day, 2 more students join him: on the third day. 3 more students join the group of the previous day, and so on. In this manner, the sponsorship collection is completed in exactly 20 days. If an MBA student is twice as efficient as an Engineering student, the number of days which ll MBA students would take to do the some activity, is:a)70 b)80 c)90 d)100Correct answer is option 'A'. 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 student fest in an Ganguram Engineering College is to be held in one months time and no sponsorship has yet been arranged by the students. Finally the General Secretary of the student body took the initiative and decided to go alone for sponsorship collection. In fact, he is the only student doing t he fund raising job on the first day. However, seeing his enthusiasm, other students also joined him as follows: on the second day, 2 more students join him: on the third day. 3 more students join the group of the previous day, and so on. In this manner, the sponsorship collection is completed in exactly 20 days. If an MBA student is twice as efficient as an Engineering student, the number of days which ll MBA students would take to do the some activity, is:a)70 b)80 c)90 d)100Correct answer is option 'A'. 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 student fest in an Ganguram Engineering College is to be held in one months time and no sponsorship has yet been arranged by the students. Finally the General Secretary of the student body took the initiative and decided to go alone for sponsorship collection. In fact, he is the only student doing t he fund raising job on the first day. However, seeing his enthusiasm, other students also joined him as follows: on the second day, 2 more students join him: on the third day. 3 more students join the group of the previous day, and so on. In this manner, the sponsorship collection is completed in exactly 20 days. If an MBA student is twice as efficient as an Engineering student, the number of days which ll MBA students would take to do the some activity, is:a)70 b)80 c)90 d)100Correct answer is option 'A'. Can you explain this answer?.
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