GATE Exam > GATE Questions > Given (9 inches)1/2= (0.25 yards)1/2, which o...
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Given (9 inches)1/2 = (0.25 yards) 1/2, which one of the following statements is TRUE?
- a)3 inches = 0.5 yards
- b)9 inches = 1.5 yards
- c)9 inches = 0.25 yards
- d)81 inches = 0.0625 yards
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Given (9 inches)1/2= (0.25 yards)1/2, which one of the following state...
Take square on both side, we get
9 inches = 0.25 yards
Why not option (A) ?
Let me give you an example
(3m)2=9m2
It means that if number gets squared then the units also get squared. Above is an example of a square having side 3m, the area of this square would be 9m2.
Similarly,
(9 m)½ = 3 m½
Hence, if I have
(9 inches)½ = (0.25 yards)½
If I take the square root, then we get
3 inches½ = 0.5 yards½
and not 3 inches = 0.5 yards
So option (A) is wrong
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Community Answer
Given (9 inches)1/2= (0.25 yards)1/2, which one of the following state...
Understanding the Given Equation
The equation (9 inches)^(1/2) = (0.25 yards)^(1/2) indicates that the square roots of both sides are equivalent. To analyze this, we can simplify both sides.
Evaluating Each Side
- The square root of 9 inches is 3 inches.
- The square root of 0.25 yards is 0.5 yards (since 0.25 is the same as 1/4).
So, we have:
- 3 inches = 0.5 yards
Verifying the Options
Now, let’s assess each option:
- a) 3 inches = 0.5 yards
This statement is true, as derived from the equation.
- b) 9 inches = 1.5 yards
To check this, convert 9 inches to yards:
9 inches ÷ 36 = 0.25 yards.
This is false.
- c) 9 inches = 0.25 yards
As calculated above, this is true.
- d) 81 inches = 0.0625 yards
Converting 81 inches to yards:
81 inches ÷ 36 = 2.25 yards.
This is false.
Conclusion
The correct statement, based on the calculations and conversions, confirms that option 'C' is indeed true:
9 inches = 0.25 yards
The equation (9 inches)^(1/2) = (0.25 yards)^(1/2) indicates that the square roots of both sides are equivalent. To analyze this, we can simplify both sides.
Evaluating Each Side
- The square root of 9 inches is 3 inches.
- The square root of 0.25 yards is 0.5 yards (since 0.25 is the same as 1/4).
So, we have:
- 3 inches = 0.5 yards
Verifying the Options
Now, let’s assess each option:
- a) 3 inches = 0.5 yards
This statement is true, as derived from the equation.
- b) 9 inches = 1.5 yards
To check this, convert 9 inches to yards:
9 inches ÷ 36 = 0.25 yards.
This is false.
- c) 9 inches = 0.25 yards
As calculated above, this is true.
- d) 81 inches = 0.0625 yards
Converting 81 inches to yards:
81 inches ÷ 36 = 2.25 yards.
This is false.
Conclusion
The correct statement, based on the calculations and conversions, confirms that option 'C' is indeed true:
9 inches = 0.25 yards
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Given (9 inches)1/2= (0.25 yards)1/2, which one of the following statements is TRUE?a)3 inches = 0.5 yardsb)9 inches = 1.5 yardsc)9 inches = 0.25 yardsd)81 inches = 0.0625 yardsCorrect answer is option 'C'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Given (9 inches)1/2= (0.25 yards)1/2, which one of the following statements is TRUE?a)3 inches = 0.5 yardsb)9 inches = 1.5 yardsc)9 inches = 0.25 yardsd)81 inches = 0.0625 yardsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given (9 inches)1/2= (0.25 yards)1/2, which one of the following statements is TRUE?a)3 inches = 0.5 yardsb)9 inches = 1.5 yardsc)9 inches = 0.25 yardsd)81 inches = 0.0625 yardsCorrect answer is option 'C'. Can you explain this answer?.
Given (9 inches)1/2= (0.25 yards)1/2, which one of the following statements is TRUE?a)3 inches = 0.5 yardsb)9 inches = 1.5 yardsc)9 inches = 0.25 yardsd)81 inches = 0.0625 yardsCorrect answer is option 'C'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Given (9 inches)1/2= (0.25 yards)1/2, which one of the following statements is TRUE?a)3 inches = 0.5 yardsb)9 inches = 1.5 yardsc)9 inches = 0.25 yardsd)81 inches = 0.0625 yardsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given (9 inches)1/2= (0.25 yards)1/2, which one of the following statements is TRUE?a)3 inches = 0.5 yardsb)9 inches = 1.5 yardsc)9 inches = 0.25 yardsd)81 inches = 0.0625 yardsCorrect answer is option 'C'. Can you explain this answer?.
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