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In a school, students were called for the Flag Hoisting ceremony on August 15. After the ceremony, small boxes of sweets were distributed among the students. In each class, the student with roll no. 1 got one box of sweets, student with roll number 2 got 2 boxes of sweets, student with roll no. 3 got 3 boxes of sweets and so on. In class III, a total of 1200 boxes of sweets were distributed. By mistake one of the students of class III got double the sweets he was entitled to get. Identify the roll number of the student who got twice as many boxes of sweets as compared to his entitlement.
- a)22
- b)24
- c)28
- d)30
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In a school, students were called for the Flag Hoisting ceremony on Au...
1 + 2 + 3 + 4 +..................+ n < 1200
and
We need to calculate value of n.
Using first and second inequality,
n(n + 1) / 2 < 1200
N = 48
Total number of boxes of sweets distributed is: 48*49/2 = 1176
So, roll no 24 got doubles number of boxes.
and
We need to calculate value of n.
Using first and second inequality,
n(n + 1) / 2 < 1200
N = 48
Total number of boxes of sweets distributed is: 48*49/2 = 1176
So, roll no 24 got doubles number of boxes.
Most Upvoted Answer
In a school, students were called for the Flag Hoisting ceremony on Au...
Given data:
- Total number of boxes of sweets distributed in class III = 1200
- Each student gets sweets according to their roll number (student with roll no. 1 gets 1 box, roll no. 2 gets 2 boxes, and so on)
- One student got twice the number of sweets he was entitled to get
To solve the problem, we need to find out the roll number of the student who got twice the number of sweets he was entitled to get.
Calculation:
- Let's assume that there are 'n' students in class III.
- The total number of sweets distributed can be calculated using the formula for triangular numbers: n(n+1)/2. We know that this is equal to 1200. Therefore, we can solve for 'n':
n(n+1)/2 = 1200
n^2 + n - 2400 = 0
(n-48)(n+49) = 0
n = 48 (since the number of students cannot be negative)
- Therefore, there are 48 students in class III.
- Now, we need to find the roll number of the student who got twice the number of sweets he was entitled to get. We can use the formula for the sum of arithmetic series to find the total number of sweets that should have been distributed to each student:
S = n(a1 + an)/2
where S = total number of sweets, n = number of students, a1 = number of sweets for the first student (i.e. roll no. 1), and an = number of sweets for the last student (i.e. roll no. 48).
- For class III, a1 = 1 and an = 48. Therefore:
S = 48(1 + 48)/2
S = 1176
- This means that 1176 boxes of sweets should have been distributed in total, but 1200 were actually distributed (due to the mistake).
- The difference between the two numbers is 24, which is the number of boxes of sweets that the student with the roll number we are looking for got.
- To find the roll number, we can use the formula for the nth term of an arithmetic series:
an = a1 + (n-1)d
where an = 2a(n-1) (since the student got twice the number of sweets he was entitled to), a1 = 1, and d = 1. Therefore:
2a(n-1) = 1 + (n-1)1
2a(n-1) = n
a(n-1) = n/2
a = n/2 + 1/2
- Since 'a' is an integer (the number of sweets must be a whole number), 'n' must be odd.
- Trying out odd values of 'n', we can see that n = 25 gives a whole number value for 'a':
a = 25/2 + 1/2 = 13
- Therefore, the student with roll number 24 got twice the number of sweets he was entitled to get (i.e. 24 boxes of sweets).
Answer: Option B (24)
- Total number of boxes of sweets distributed in class III = 1200
- Each student gets sweets according to their roll number (student with roll no. 1 gets 1 box, roll no. 2 gets 2 boxes, and so on)
- One student got twice the number of sweets he was entitled to get
To solve the problem, we need to find out the roll number of the student who got twice the number of sweets he was entitled to get.
Calculation:
- Let's assume that there are 'n' students in class III.
- The total number of sweets distributed can be calculated using the formula for triangular numbers: n(n+1)/2. We know that this is equal to 1200. Therefore, we can solve for 'n':
n(n+1)/2 = 1200
n^2 + n - 2400 = 0
(n-48)(n+49) = 0
n = 48 (since the number of students cannot be negative)
- Therefore, there are 48 students in class III.
- Now, we need to find the roll number of the student who got twice the number of sweets he was entitled to get. We can use the formula for the sum of arithmetic series to find the total number of sweets that should have been distributed to each student:
S = n(a1 + an)/2
where S = total number of sweets, n = number of students, a1 = number of sweets for the first student (i.e. roll no. 1), and an = number of sweets for the last student (i.e. roll no. 48).
- For class III, a1 = 1 and an = 48. Therefore:
S = 48(1 + 48)/2
S = 1176
- This means that 1176 boxes of sweets should have been distributed in total, but 1200 were actually distributed (due to the mistake).
- The difference between the two numbers is 24, which is the number of boxes of sweets that the student with the roll number we are looking for got.
- To find the roll number, we can use the formula for the nth term of an arithmetic series:
an = a1 + (n-1)d
where an = 2a(n-1) (since the student got twice the number of sweets he was entitled to), a1 = 1, and d = 1. Therefore:
2a(n-1) = 1 + (n-1)1
2a(n-1) = n
a(n-1) = n/2
a = n/2 + 1/2
- Since 'a' is an integer (the number of sweets must be a whole number), 'n' must be odd.
- Trying out odd values of 'n', we can see that n = 25 gives a whole number value for 'a':
a = 25/2 + 1/2 = 13
- Therefore, the student with roll number 24 got twice the number of sweets he was entitled to get (i.e. 24 boxes of sweets).
Answer: Option B (24)
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In a school, students were called for the Flag Hoisting ceremony on August 15. After the ceremony, small boxes of sweets were distributed among the students. In each class, the student with roll no. 1 got one box of sweets, student with roll number 2 got 2 boxes of sweets, student with roll no. 3 got 3 boxes of sweets and so on. In class III, a total of 1200 boxes of sweets were distributed. By mistake one of the students of class III got double the sweets he was entitled to get. Identify the roll number of the student who got twice as many boxes of sweets as compared to his entitlement.a)22b)24c)28d)30Correct answer is option 'B'. Can you explain this answer?
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In a school, students were called for the Flag Hoisting ceremony on August 15. After the ceremony, small boxes of sweets were distributed among the students. In each class, the student with roll no. 1 got one box of sweets, student with roll number 2 got 2 boxes of sweets, student with roll no. 3 got 3 boxes of sweets and so on. In class III, a total of 1200 boxes of sweets were distributed. By mistake one of the students of class III got double the sweets he was entitled to get. Identify the roll number of the student who got twice as many boxes of sweets as compared to his entitlement.a)22b)24c)28d)30Correct answer is option 'B'. 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 In a school, students were called for the Flag Hoisting ceremony on August 15. After the ceremony, small boxes of sweets were distributed among the students. In each class, the student with roll no. 1 got one box of sweets, student with roll number 2 got 2 boxes of sweets, student with roll no. 3 got 3 boxes of sweets and so on. In class III, a total of 1200 boxes of sweets were distributed. By mistake one of the students of class III got double the sweets he was entitled to get. Identify the roll number of the student who got twice as many boxes of sweets as compared to his entitlement.a)22b)24c)28d)30Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a school, students were called for the Flag Hoisting ceremony on August 15. After the ceremony, small boxes of sweets were distributed among the students. In each class, the student with roll no. 1 got one box of sweets, student with roll number 2 got 2 boxes of sweets, student with roll no. 3 got 3 boxes of sweets and so on. In class III, a total of 1200 boxes of sweets were distributed. By mistake one of the students of class III got double the sweets he was entitled to get. Identify the roll number of the student who got twice as many boxes of sweets as compared to his entitlement.a)22b)24c)28d)30Correct answer is option 'B'. Can you explain this answer?.
In a school, students were called for the Flag Hoisting ceremony on August 15. After the ceremony, small boxes of sweets were distributed among the students. In each class, the student with roll no. 1 got one box of sweets, student with roll number 2 got 2 boxes of sweets, student with roll no. 3 got 3 boxes of sweets and so on. In class III, a total of 1200 boxes of sweets were distributed. By mistake one of the students of class III got double the sweets he was entitled to get. Identify the roll number of the student who got twice as many boxes of sweets as compared to his entitlement.a)22b)24c)28d)30Correct answer is option 'B'. 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 In a school, students were called for the Flag Hoisting ceremony on August 15. After the ceremony, small boxes of sweets were distributed among the students. In each class, the student with roll no. 1 got one box of sweets, student with roll number 2 got 2 boxes of sweets, student with roll no. 3 got 3 boxes of sweets and so on. In class III, a total of 1200 boxes of sweets were distributed. By mistake one of the students of class III got double the sweets he was entitled to get. Identify the roll number of the student who got twice as many boxes of sweets as compared to his entitlement.a)22b)24c)28d)30Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a school, students were called for the Flag Hoisting ceremony on August 15. After the ceremony, small boxes of sweets were distributed among the students. In each class, the student with roll no. 1 got one box of sweets, student with roll number 2 got 2 boxes of sweets, student with roll no. 3 got 3 boxes of sweets and so on. In class III, a total of 1200 boxes of sweets were distributed. By mistake one of the students of class III got double the sweets he was entitled to get. Identify the roll number of the student who got twice as many boxes of sweets as compared to his entitlement.a)22b)24c)28d)30Correct answer is option 'B'. Can you explain this answer?.
Solutions for In a school, students were called for the Flag Hoisting ceremony on August 15. After the ceremony, small boxes of sweets were distributed among the students. In each class, the student with roll no. 1 got one box of sweets, student with roll number 2 got 2 boxes of sweets, student with roll no. 3 got 3 boxes of sweets and so on. In class III, a total of 1200 boxes of sweets were distributed. By mistake one of the students of class III got double the sweets he was entitled to get. Identify the roll number of the student who got twice as many boxes of sweets as compared to his entitlement.a)22b)24c)28d)30Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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In a school, students were called for the Flag Hoisting ceremony on August 15. After the ceremony, small boxes of sweets were distributed among the students. In each class, the student with roll no. 1 got one box of sweets, student with roll number 2 got 2 boxes of sweets, student with roll no. 3 got 3 boxes of sweets and so on. In class III, a total of 1200 boxes of sweets were distributed. By mistake one of the students of class III got double the sweets he was entitled to get. Identify the roll number of the student who got twice as many boxes of sweets as compared to his entitlement.a)22b)24c)28d)30Correct answer is option 'B'. Can you explain this answer?, a detailed solution for In a school, students were called for the Flag Hoisting ceremony on August 15. After the ceremony, small boxes of sweets were distributed among the students. In each class, the student with roll no. 1 got one box of sweets, student with roll number 2 got 2 boxes of sweets, student with roll no. 3 got 3 boxes of sweets and so on. In class III, a total of 1200 boxes of sweets were distributed. By mistake one of the students of class III got double the sweets he was entitled to get. Identify the roll number of the student who got twice as many boxes of sweets as compared to his entitlement.a)22b)24c)28d)30Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of In a school, students were called for the Flag Hoisting ceremony on August 15. After the ceremony, small boxes of sweets were distributed among the students. In each class, the student with roll no. 1 got one box of sweets, student with roll number 2 got 2 boxes of sweets, student with roll no. 3 got 3 boxes of sweets and so on. In class III, a total of 1200 boxes of sweets were distributed. By mistake one of the students of class III got double the sweets he was entitled to get. Identify the roll number of the student who got twice as many boxes of sweets as compared to his entitlement.a)22b)24c)28d)30Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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