GATE CS 2015 Set 1 — Question 4
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+1 / -0.33EasyNumerical Relations & ReasoningAnalytical AptitudeGeneral Aptitude
General Aptitude → Analytical Aptitude → Numerical Relations & Reasoning
Last updated
Question
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.
(I) Each step is 3/4 foot high.
(II) Each step is 1 foot wide.
Correct answer
(A) Statement I alone is sufficient, but statement II alone is not sufficient.
Solution
To determine the number of steps in the stairs extending from the first floor to the second floor, we need to relate the total vertical height between the floors to the dimensions of the steps. We are given:
- The vertical distance (height) between the two floors is feet.
Analyzing Statement (I): "Each step is 3/4 foot high."
- This statement gives the height of each step: foot.
- Using the formula:
- Since we can uniquely determine the number of steps, Statement I alone is sufficient.
Analyzing Statement (II): "Each step is 1 foot wide."
- This statement gives the width (run) of each step.
- The width of a step does not affect the vertical height of the staircase. Without knowing the height of each step, we cannot determine the number of steps.
- Therefore, Statement II alone is not sufficient.
Conclusion
Statement I alone is sufficient to answer the question, but Statement II alone is not sufficient.Correct Option: AContinue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE CS question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
Also appeared in
More questions on Analytical Aptitude
2026 Set 1 Q1The antonym of the word protagonist is ________.2026 Set 2 Q1Expedite, Hasten, Hurry, __________ Fill the blank by choosing a word with a meaning similar to…2026 Set 2 Q2A black square PQRS has been cut into two parts. One part of it is shown in Panel I. Which one of…2026 Set 1 Q2The figure shows two 4-tile patterns. [figure] Either one or both of the patterns can be used any…2026 Set 1 Q3Consider a knock-out women’s badminton singles tournament where there are no ties. The loser in…