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An Arab millionaire wants to cross Sahara desert. He has a few gold coins with him. He wants to distribute the coins in 6 villages such that the village people will allow him to cross the village boundary without any harm. He also wants to keep some coins with him for food and water. He keeps one coin with him (for food and water) and gives 1/5th of the remaining coins to the first village people, again keeps 1 coin with him (for food and water) and distributes 1/5th of the remaining coins to the second village people and he does the same in the third village. He distributes the remaining coins in the next three villages in ratio 23 : 46 : 55 (without keeping any coins for him in these villages). What is the minimum number of coins the Arab should have to cross the Sahara desert?
Note - It is given that the Arab will keep the gold coins with him that he separated out for food and water and these coins are not counted in any of the further distributions.
    Correct answer is '246'. Can you explain this answer?
    Verified Answer
    An Arab millionaire wants to cross Sahara desert. He has a few gold co...
    He distributes the coins in the last three villages in ratio 23 : 46 : 55. 
    The last three villages get 23x, 46x, 55x.
    The least value that x can take is 1 .... [ GCD (23, 46, 55) = 1]
    The minimum number of coins that can be distributed in the last three villages = 23 + 46 + 55 = 124.
    Just before he distributes the coin to the last three villages he has given 1/5th of the remaining coins to the third village.
    He had (5/4) x 124 = 155 coins and he had kept 1 coin with him.
    Number of coins with him after he gives coins to the second village is 156.
    Just before he distributes the coin to the second village, he had (5/4 x 156) = 195 coins and he had kept 1 coin with him.
    Number of coins with him after he gives coins to the first village is 196. 
    Similarly, number of coins with the Arab initially is (5/ 4 x 196) + 1 = 246
     
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    An Arab millionaire wants to cross Sahara desert. He has a few gold co...
    Understanding the Problem:
    In this problem, an Arab millionaire wants to cross the Sahara desert by distributing gold coins among 6 villages in such a way that the village people will allow him to pass through without any harm. He also needs to keep some coins with him for food and water.

    Solving the Problem:
    - The Arab starts with x gold coins.
    - After keeping 1 coin for himself, he distributes 1/5th of the remaining coins in the first village.
    - After keeping 1 coin for himself again, he distributes 1/5th of the remaining coins in the second village.
    - He repeats this process in the third village.
    - Now, he has (3/5) * (4/5) * (4/5) * x coins left.
    - The remaining coins are distributed in the next three villages in the ratio 23:46:55.
    - Let the number of coins distributed in the three villages be 23k, 46k, and 55k respectively. So, the total coins left with the Arab after the third village = (3/5)*(4/5)*(4/5)*x - 23k - 46k - 55k.
    - The Arab should have at least 1 coin with him after distributing the coins in the last village.
    - Therefore, the minimum number of coins required by the Arab to cross the Sahara desert = 1 + 23k + 46k + 55k.

    Calculating the Minimum Number of Coins:
    - We know that (3/5)*(4/5)*(4/5)*x = 246k (as per the ratio given).
    - Solving this equation, we get x = 246.
    - Therefore, the minimum number of coins the Arab should have to cross the Sahara desert is 246.
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    An Arab millionaire wants to cross Sahara desert. He has a few gold coins with him. He wants to distribute the coins in 6 villages such that the village people will allow him to cross the village boundary without any harm. He also wants to keep some coins with him for food and water. He keeps one coin with him (for food and water) and gives 1/5th of the remaining coins to the first village people, again keeps 1 coin with him (for food and water) and distributes 1/5th of the remaining coins to the second village people and he does the same in the third village. He distributes the remaining coins in the next three villages in ratio 23 : 46 : 55 (without keeping any coins for him in these villages). What is the minimum number of coins the Arab should have to cross the Sahara desert?Note - It is given that the Arab will keep the gold coins with him that he separated out for food and water and these coins are not counted in any of the further distributions.Correct answer is '246'. Can you explain this answer?
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    An Arab millionaire wants to cross Sahara desert. He has a few gold coins with him. He wants to distribute the coins in 6 villages such that the village people will allow him to cross the village boundary without any harm. He also wants to keep some coins with him for food and water. He keeps one coin with him (for food and water) and gives 1/5th of the remaining coins to the first village people, again keeps 1 coin with him (for food and water) and distributes 1/5th of the remaining coins to the second village people and he does the same in the third village. He distributes the remaining coins in the next three villages in ratio 23 : 46 : 55 (without keeping any coins for him in these villages). What is the minimum number of coins the Arab should have to cross the Sahara desert?Note - It is given that the Arab will keep the gold coins with him that he separated out for food and water and these coins are not counted in any of the further distributions.Correct answer is '246'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about An Arab millionaire wants to cross Sahara desert. He has a few gold coins with him. He wants to distribute the coins in 6 villages such that the village people will allow him to cross the village boundary without any harm. He also wants to keep some coins with him for food and water. He keeps one coin with him (for food and water) and gives 1/5th of the remaining coins to the first village people, again keeps 1 coin with him (for food and water) and distributes 1/5th of the remaining coins to the second village people and he does the same in the third village. He distributes the remaining coins in the next three villages in ratio 23 : 46 : 55 (without keeping any coins for him in these villages). What is the minimum number of coins the Arab should have to cross the Sahara desert?Note - It is given that the Arab will keep the gold coins with him that he separated out for food and water and these coins are not counted in any of the further distributions.Correct answer is '246'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An Arab millionaire wants to cross Sahara desert. He has a few gold coins with him. He wants to distribute the coins in 6 villages such that the village people will allow him to cross the village boundary without any harm. He also wants to keep some coins with him for food and water. He keeps one coin with him (for food and water) and gives 1/5th of the remaining coins to the first village people, again keeps 1 coin with him (for food and water) and distributes 1/5th of the remaining coins to the second village people and he does the same in the third village. He distributes the remaining coins in the next three villages in ratio 23 : 46 : 55 (without keeping any coins for him in these villages). What is the minimum number of coins the Arab should have to cross the Sahara desert?Note - It is given that the Arab will keep the gold coins with him that he separated out for food and water and these coins are not counted in any of the further distributions.Correct answer is '246'. Can you explain this answer?.
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What is the minimum number of coins the Arab should have to cross the Sahara desert?Note - It is given that the Arab will keep the gold coins with him that he separated out for food and water and these coins are not counted in any of the further distributions.Correct answer is '246'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of An Arab millionaire wants to cross Sahara desert. He has a few gold coins with him. He wants to distribute the coins in 6 villages such that the village people will allow him to cross the village boundary without any harm. He also wants to keep some coins with him for food and water. He keeps one coin with him (for food and water) and gives 1/5th of the remaining coins to the first village people, again keeps 1 coin with him (for food and water) and distributes 1/5th of the remaining coins to the second village people and he does the same in the third village. He distributes the remaining coins in the next three villages in ratio 23 : 46 : 55 (without keeping any coins for him in these villages). What is the minimum number of coins the Arab should have to cross the Sahara desert?Note - It is given that the Arab will keep the gold coins with him that he separated out for food and water and these coins are not counted in any of the further distributions.Correct answer is '246'. Can you explain this answer?, a detailed solution for An Arab millionaire wants to cross Sahara desert. He has a few gold coins with him. He wants to distribute the coins in 6 villages such that the village people will allow him to cross the village boundary without any harm. He also wants to keep some coins with him for food and water. He keeps one coin with him (for food and water) and gives 1/5th of the remaining coins to the first village people, again keeps 1 coin with him (for food and water) and distributes 1/5th of the remaining coins to the second village people and he does the same in the third village. He distributes the remaining coins in the next three villages in ratio 23 : 46 : 55 (without keeping any coins for him in these villages). What is the minimum number of coins the Arab should have to cross the Sahara desert?Note - It is given that the Arab will keep the gold coins with him that he separated out for food and water and these coins are not counted in any of the further distributions.Correct answer is '246'. Can you explain this answer? has been provided alongside types of An Arab millionaire wants to cross Sahara desert. He has a few gold coins with him. He wants to distribute the coins in 6 villages such that the village people will allow him to cross the village boundary without any harm. He also wants to keep some coins with him for food and water. He keeps one coin with him (for food and water) and gives 1/5th of the remaining coins to the first village people, again keeps 1 coin with him (for food and water) and distributes 1/5th of the remaining coins to the second village people and he does the same in the third village. He distributes the remaining coins in the next three villages in ratio 23 : 46 : 55 (without keeping any coins for him in these villages). What is the minimum number of coins the Arab should have to cross the Sahara desert?Note - It is given that the Arab will keep the gold coins with him that he separated out for food and water and these coins are not counted in any of the further distributions.Correct answer is '246'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice An Arab millionaire wants to cross Sahara desert. He has a few gold coins with him. He wants to distribute the coins in 6 villages such that the village people will allow him to cross the village boundary without any harm. He also wants to keep some coins with him for food and water. He keeps one coin with him (for food and water) and gives 1/5th of the remaining coins to the first village people, again keeps 1 coin with him (for food and water) and distributes 1/5th of the remaining coins to the second village people and he does the same in the third village. He distributes the remaining coins in the next three villages in ratio 23 : 46 : 55 (without keeping any coins for him in these villages). What is the minimum number of coins the Arab should have to cross the Sahara desert?Note - It is given that the Arab will keep the gold coins with him that he separated out for food and water and these coins are not counted in any of the further distributions.Correct answer is '246'. Can you explain this answer? tests, examples and also practice CAT tests.
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