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Six identical cards are placed on a table. Each card has number 1 marked on one side and number 2marked on its other side. All the six cards are placed such that the number 1 is on the upper side. In one try, exactly four (neither more nor less) cards are turned upside down. In how many tries, can the cards be turned upside down such that all the six cards show number 2 on the upper side?
a. 3
b. 5
c. 7
d. This cannot be achieved?
Most Upvoted Answer
Six identical cards are placed on a table. Each card has number 1 mark...
Analysis:
To solve this problem, we need to consider the initial state of the cards and how we can manipulate them to achieve the desired outcome. Let's break down the process step by step.

Initial State:
- All six cards have number 1 facing up.

Turning Strategy:
- In one try, we can turn exactly four cards upside down.
- This means that in each try, two cards will remain in their initial state.

Turning Scenario:
- If we turn four cards upside down in the first try, we will have two cards showing number 2 facing up.
- In the second try, we can turn these two cards upside down along with two more cards from the initial four cards that were turned in the first try.
- This will result in all six cards showing number 2 facing up.

Conclusion:
- Therefore, we can achieve the desired outcome in 2 tries by following the turning strategy mentioned above.
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Six identical cards are placed on a table. Each card has number 1 marked on one side and number 2marked on its other side. All the six cards are placed such that the number 1 is on the upper side. In one try, exactly four (neither more nor less) cards are turned upside down. In how many tries, can the cards be turned upside down such that all the six cards show number 2 on the upper side?a. 3b. 5c. 7d. This cannot be achieved?
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Six identical cards are placed on a table. Each card has number 1 marked on one side and number 2marked on its other side. All the six cards are placed such that the number 1 is on the upper side. In one try, exactly four (neither more nor less) cards are turned upside down. In how many tries, can the cards be turned upside down such that all the six cards show number 2 on the upper side?a. 3b. 5c. 7d. This cannot be achieved? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Six identical cards are placed on a table. Each card has number 1 marked on one side and number 2marked on its other side. All the six cards are placed such that the number 1 is on the upper side. In one try, exactly four (neither more nor less) cards are turned upside down. In how many tries, can the cards be turned upside down such that all the six cards show number 2 on the upper side?a. 3b. 5c. 7d. This cannot be achieved? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Six identical cards are placed on a table. Each card has number 1 marked on one side and number 2marked on its other side. All the six cards are placed such that the number 1 is on the upper side. In one try, exactly four (neither more nor less) cards are turned upside down. In how many tries, can the cards be turned upside down such that all the six cards show number 2 on the upper side?a. 3b. 5c. 7d. This cannot be achieved?.
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