GATE DA 2024 Set 1 — Question 23
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+1 / -0.33MediumA* Admissibility & ConsistencyInformed SearchArtificial Intelligence
Artificial Intelligence → Informed Search → A* Admissibility & Consistency
Last updated
Question
Let and be two admissible heuristics used in search.Which ONE of the following expressions is always an admissible heuristic?
Correct answer
(D) h₁ - h₂
Solution
An admissible heuristic is one that never overestimates the cost to reach the goal, i.e., for all nodes , where is the true cost.Given and are admissible:
(A) : If and , then , which overestimates the cost. Not admissible.
(B) : If , the product can easily exceed . Not admissible.
(C) : If is very small (e.g., ), the ratio can be arbitrarily large. Not admissible.
(D) :
1.
2.
Let's evaluate the options:(A) : If and , then , which overestimates the cost. Not admissible.
(B) : If , the product can easily exceed . Not admissible.
(C) : If is very small (e.g., ), the ratio can be arbitrarily large. Not admissible.
(D) :
- If , then . Since , .
- If , then . Since , .
Continue 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 DA 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.
More questions on Informed Search
2026 Set 1 Q13Which of the following algorithms is NOT an example of uninformed search?2026 Set 1 Q14Which of the following statements is NOT true? (The names of the predicates are intuitive.)2026 Set 1 Q23In the following table, the
Task column lists a few tasks related to machine learning. The…2026 Set 1 Q24Sentence is said to entail Sentence if whenever is TRUE, also must hold TRUE. Which…2026 Set 1 Q30Consider the game tree for a two-player turn-taking minimax game as shown in the figure. The value…