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Based on the given statements, select the most appropriate option to solve the given question. If two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building?
Statements:
I. Each step is 3/4 foot high
II. Each step is 1 foot wide.
- a)Statement I alone is sufficient, but stat ement II alone is not sufficient
- b)Statement II alone is sufficient, butstatement I alone is not sufficient
- c)Both statements together are sufficient,but neither statement alone is sufficient
- d)Statement I and II together are not sufficient
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Based on the given statements, select the most appropriate option to s...
When we climb from one floor to other, it is the height that matters and not the width of the staircase.Therefore, From statement 1 only, we can figure out that 9 / (3/4) or 12 steps are required.
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Based on the given statements, select the most appropriate option to s...
Problem Analysis:
We are given that two floors in a building are 9 feet apart, and we need to determine the number of steps in a set of stairs from the first floor to the second floor. We are provided with two statements, and we need to determine whether either statement alone is sufficient to solve the problem or if both statements together are required.
Statement Analysis:
I. Each step is 3/4 foot high.
II. Each step is 1 foot wide.
Analysis of Statement I:
If each step is 3/4 foot high, we can determine the number of steps by dividing the total height of 9 feet by the height of each step. This can be represented by the equation:
Number of steps = Total height / Height of each step
Since the height of each step is given as 3/4 foot, the equation can be rewritten as:
Number of steps = 9 feet / (3/4 feet)
Simplifying this equation, we can multiply the numerator and denominator by 4/3 to get:
Number of steps = (9 feet * 4/3) / 1 feet
Number of steps = 36/3
Number of steps = 12
Analysis of Statement II:
If each step is 1 foot wide, this statement does not provide any information about the height of each step. Therefore, we cannot determine the number of steps based on this statement alone.
Conclusion:
Based on the analysis of the statements, we can conclude that Statement I alone is sufficient to solve the problem, but Statement II alone is not sufficient. Therefore, the correct answer is option A: Statement I alone is sufficient, but statement II alone is not sufficient.
We are given that two floors in a building are 9 feet apart, and we need to determine the number of steps in a set of stairs from the first floor to the second floor. We are provided with two statements, and we need to determine whether either statement alone is sufficient to solve the problem or if both statements together are required.
Statement Analysis:
I. Each step is 3/4 foot high.
II. Each step is 1 foot wide.
Analysis of Statement I:
If each step is 3/4 foot high, we can determine the number of steps by dividing the total height of 9 feet by the height of each step. This can be represented by the equation:
Number of steps = Total height / Height of each step
Since the height of each step is given as 3/4 foot, the equation can be rewritten as:
Number of steps = 9 feet / (3/4 feet)
Simplifying this equation, we can multiply the numerator and denominator by 4/3 to get:
Number of steps = (9 feet * 4/3) / 1 feet
Number of steps = 36/3
Number of steps = 12
Analysis of Statement II:
If each step is 1 foot wide, this statement does not provide any information about the height of each step. Therefore, we cannot determine the number of steps based on this statement alone.
Conclusion:
Based on the analysis of the statements, we can conclude that Statement I alone is sufficient to solve the problem, but Statement II alone is not sufficient. Therefore, the correct answer is option A: Statement I alone is sufficient, but statement II alone is not sufficient.
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Based on the given statements, select the most appropriate option to solve the given question. If two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building?Statements:I. Each step is 3/4 foot highII. Each step is 1 foot wide.a)Statement I alone is sufficient, but stat ement II alone is not sufficientb)Statement II alone is sufficient, butstatement I alone is not sufficientc)Both statements together are sufficient,but neither statement alone is sufficientd)Statement I and II together are not sufficientCorrect answer is option 'A'. Can you explain this answer?
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Based on the given statements, select the most appropriate option to solve the given question. If two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building?Statements:I. Each step is 3/4 foot highII. Each step is 1 foot wide.a)Statement I alone is sufficient, but stat ement II alone is not sufficientb)Statement II alone is sufficient, butstatement I alone is not sufficientc)Both statements together are sufficient,but neither statement alone is sufficientd)Statement I and II together are not sufficientCorrect answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Based on the given statements, select the most appropriate option to solve the given question. If two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building?Statements:I. Each step is 3/4 foot highII. Each step is 1 foot wide.a)Statement I alone is sufficient, but stat ement II alone is not sufficientb)Statement II alone is sufficient, butstatement I alone is not sufficientc)Both statements together are sufficient,but neither statement alone is sufficientd)Statement I and II together are not sufficientCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Based on the given statements, select the most appropriate option to solve the given question. If two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building?Statements:I. Each step is 3/4 foot highII. Each step is 1 foot wide.a)Statement I alone is sufficient, but stat ement II alone is not sufficientb)Statement II alone is sufficient, butstatement I alone is not sufficientc)Both statements together are sufficient,but neither statement alone is sufficientd)Statement I and II together are not sufficientCorrect answer is option 'A'. Can you explain this answer?.
Based on the given statements, select the most appropriate option to solve the given question. If two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building?Statements:I. Each step is 3/4 foot highII. Each step is 1 foot wide.a)Statement I alone is sufficient, but stat ement II alone is not sufficientb)Statement II alone is sufficient, butstatement I alone is not sufficientc)Both statements together are sufficient,but neither statement alone is sufficientd)Statement I and II together are not sufficientCorrect answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Based on the given statements, select the most appropriate option to solve the given question. If two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building?Statements:I. Each step is 3/4 foot highII. Each step is 1 foot wide.a)Statement I alone is sufficient, but stat ement II alone is not sufficientb)Statement II alone is sufficient, butstatement I alone is not sufficientc)Both statements together are sufficient,but neither statement alone is sufficientd)Statement I and II together are not sufficientCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Based on the given statements, select the most appropriate option to solve the given question. If two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building?Statements:I. Each step is 3/4 foot highII. Each step is 1 foot wide.a)Statement I alone is sufficient, but stat ement II alone is not sufficientb)Statement II alone is sufficient, butstatement I alone is not sufficientc)Both statements together are sufficient,but neither statement alone is sufficientd)Statement I and II together are not sufficientCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Based on the given statements, select the most appropriate option to solve the given question. If two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building?Statements:I. Each step is 3/4 foot highII. Each step is 1 foot wide.a)Statement I alone is sufficient, but stat ement II alone is not sufficientb)Statement II alone is sufficient, butstatement I alone is not sufficientc)Both statements together are sufficient,but neither statement alone is sufficientd)Statement I and II together are not sufficientCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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