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Sunita cuts a sheet of paper into three pieces. Length of first piece is equal to the average of the three single digit odd prime numbers. Length of the second piece is equal to that of the first plus one-third the length of the third. The third piece is as long as the other two pieces together. The length of the original sheet of paper is
a)13 units
b)15 units
c)16 units
d)30 units
Correct answer is option 'd'. Can you explain this answer?
Verified Answer
Sunita cuts a sheet of paper into three pieces. Length of first piece ...
The only three single digit odd prime numbers are 3, 5 and 7. So the length of the first piece = (3+ 5 + 7)/3 = 5. Now let the length of the second piece = X units.
Then by the condition given in question we have – Length of the third piece = X + 5. Length of the second piece = X = 5 + (X + 5)/3.
Solve this to get X = 10. So, length of the first piece = 5, second piece = 10 and third piece = 15. So length of the original sheet = 5 + 10 + 15 = 30 units.
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Sunita cuts a sheet of paper into three pieces. Length of first piece ...
Given Information:

- Sunita cuts a sheet of paper into three pieces.
- Length of first piece is equal to the average of the three single digit odd prime numbers.
- Length of the second piece is equal to that of the first plus one-third the length of the third.
- The third piece is as long as the other two pieces together.

To Find: The length of the original sheet of paper

Solution:

Let's assume the length of the original sheet of paper to be 'x' units.

1. Length of the First Piece:

- The three single digit odd prime numbers are 3, 5, and 7.
- The average of these three numbers is (3+5+7)/3 = 5.
- Therefore, the length of the first piece is 5 units.

2. Length of the Third Piece:

- Let the length of the third piece be 'y' units.
- According to the given information, the third piece is as long as the other two pieces together.
- Therefore, y = 5 + y/3
- Solving the above equation, we get y = 7.5 units.

3. Length of the Second Piece:

- Let the length of the second piece be 'z' units.
- According to the given information, z = 5 + (1/3)*7.5
- Solving the above equation, we get z = 7.5 units.

4. Total Length of the Sheet:

- As per the question, the original sheet of paper is cut into three pieces.
- Therefore, the total length of the sheet should be equal to the sum of the lengths of the three pieces.
- x = 5 + 7.5 + 7.5 = 20 units.

Therefore, the length of the original sheet of paper is 20 units.

Answer: The correct option is 'd' - 30 units.
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Sunita cuts a sheet of paper into three pieces. Length of first piece ...
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Sunita cuts a sheet of paper into three pieces. Length of first piece is equal to the average of the three single digit odd prime numbers. Length of the second piece is equal to that of the first plus one-third the length of the third. The third piece is as long as the other two pieces together. The length of the original sheet of paper isa)13 unitsb)15 unitsc)16 unitsd)30 unitsCorrect answer is option 'd'. Can you explain this answer?
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Sunita cuts a sheet of paper into three pieces. Length of first piece is equal to the average of the three single digit odd prime numbers. Length of the second piece is equal to that of the first plus one-third the length of the third. The third piece is as long as the other two pieces together. The length of the original sheet of paper isa)13 unitsb)15 unitsc)16 unitsd)30 unitsCorrect answer is option 'd'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Sunita cuts a sheet of paper into three pieces. Length of first piece is equal to the average of the three single digit odd prime numbers. Length of the second piece is equal to that of the first plus one-third the length of the third. The third piece is as long as the other two pieces together. The length of the original sheet of paper isa)13 unitsb)15 unitsc)16 unitsd)30 unitsCorrect answer is option 'd'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sunita cuts a sheet of paper into three pieces. Length of first piece is equal to the average of the three single digit odd prime numbers. Length of the second piece is equal to that of the first plus one-third the length of the third. The third piece is as long as the other two pieces together. The length of the original sheet of paper isa)13 unitsb)15 unitsc)16 unitsd)30 unitsCorrect answer is option 'd'. Can you explain this answer?.
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