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A 10-foot plank of wood is cut to give three equal lengths with a shorter length left over.
Column A, the length of one of the equal pieces.
Column B, three feet. Options :
A, the quantity on the left is greater.
Option B, the quantity on the right is greater.
C, both are equal.
D, the relationship cannot be determined without further information?
Most Upvoted Answer
A 10-foot plank of wood is cut to give three equal lengths with a shor...
Understanding the Problem
To solve the problem, we start with a 10-foot plank of wood that is cut into three equal lengths, with some leftover wood.
Calculating Equal Lengths
- The total length of the plank is 10 feet.
- If we denote the length of each equal piece as x, the equation we can use is:
3x + leftover = 10 feet
- Since we need to find equal pieces and there is a leftover, the value of x must be less than 10/3 (since three equal pieces cannot exceed the total length).
Finding the Maximum Length
- The maximum length for three equal pieces can be calculated as follows:
10 feet / 3 = 3.33 feet (approximately)
- Since there is a leftover, we need to round down x to the nearest feasible length. Therefore, x can only realistically be 3 feet or less.
Comparing Column A and Column B
- Column A: Length of one of the equal pieces (x < 3.33="" />
- Column B: 3 feet
Conclusion
- Since x must be less than or equal to 3 feet (due to the leftover), we can conclude:
- The length of one of the equal pieces is less than 3 feet.
Thus, we can determine that:
Final Answer: Option B, the quantity on the right is greater.
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A 10-foot plank of wood is cut to give three equal lengths with a shorter length left over. Column A, the length of one of the equal pieces.Column B, three feet. Options : A, the quantity on the left is greater. Option B, the quantity on the right is greater. C, both are equal. D, the relationship cannot be determined without further information?
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A 10-foot plank of wood is cut to give three equal lengths with a shorter length left over. Column A, the length of one of the equal pieces.Column B, three feet. Options : A, the quantity on the left is greater. Option B, the quantity on the right is greater. C, both are equal. D, the relationship cannot be determined without further information? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A 10-foot plank of wood is cut to give three equal lengths with a shorter length left over. Column A, the length of one of the equal pieces.Column B, three feet. Options : A, the quantity on the left is greater. Option B, the quantity on the right is greater. C, both are equal. D, the relationship cannot be determined without further information? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 10-foot plank of wood is cut to give three equal lengths with a shorter length left over. Column A, the length of one of the equal pieces.Column B, three feet. Options : A, the quantity on the left is greater. Option B, the quantity on the right is greater. C, both are equal. D, the relationship cannot be determined without further information?.
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