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Group Question
Answer the following question based on the information given below.
The mother of four daughters: Tanya, Kamya, Saumya and Ananya, had given them a certain sum of money to make purchases of their own choices. Each of them bought a certain number of items. When their mother questioned them on the quantity of purchases made by them, their replies were as follows:
1. The sum of all items put together that we have purchased is less than 18.
2. The product of the number of items purchased by us is same as the amount you had given to us.
3. Further Tanya had purchased the least quantity followed by Kamya, Saumya and Ananya in that order.
The mother thought for a while on the quantity purchased by her daughters, but could not get the solution. She then asked her daughters whether any one of them had purchased only a single quantity to which the daughters replied and then the mother knew the number of items purchased by each one of them.
 
Q. What was the sum of all the items put together that was purchased by these four daughters?
    Correct answer is '14'. Can you explain this answer?
    Verified Answer
    Group QuestionAnswer the following question based on the information g...
    Let us begin by identifying the four numbers whose sum is less than 18.
    Further since the mother knew the amount which she had given to her daughters, let us also write the product besides the sum of these numbers. Also since the mother could not determine from the initial information the exact number of purchases made by her daughters it implies that there must be at least two combinations for the same product of these four numbers.

    Now when the mother asked them whether had any one of them purchased a single item she knew the answer. Now if we observe the above table, every group of the product has more than one combination where a single item was purchased.
    If the answer to this question were YES, she could not have found out the exact purchases made by her daughters.
    But since she could find out the exact purchases made by her daughters it implies that the answer to this question was NO.
    Hence the only possible purchases made by her daughters was the last combination: 2, 3, 4, and 5.
    Tanya: 2; Kamya: 3; Saumya: 4; Ananya: 5
    Answer: 14
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    Most Upvoted Answer
    Group QuestionAnswer the following question based on the information g...
    Understanding the Problem
    To solve the problem, we need to analyze the information given about the purchases made by the four daughters.
    Key Information
    - The total number of items purchased is less than 18.
    - The product of the items purchased equals the amount given by their mother.
    - The order of purchases from least to most: Tanya < kamya="" />< saumya="" />< />
    Assumptions and Deductions
    - Let the number of items purchased by Tanya, Kamya, Saumya, and Ananya be denoted as T, K, S, and A respectively.
    - Since Tanya purchased the least, we can start with T = 1 (the only possibility for a single quantity).
    Calculating Possible Values
    1. If T = 1:
    - The sum of items: T + K + S + A < 18="" implies="" k="" +="" s="" +="" a="" />< />
    - The product: T * K * S * A = K * S * A = amount given by the mother.
    2. To maintain the order, let’s assign values starting from T = 1.
    - Suppose K = 2, S = 3, A = 4. Then:
    - Sum = 1 + 2 + 3 + 4 = 10 (less than 18).
    - Product = 1 * 2 * 3 * 4 = 24.
    3. Trying other combinations:
    - If K = 2, S = 3, A = 5:
    - Sum = 1 + 2 + 3 + 5 = 11 (valid).
    - Product = 1 * 2 * 3 * 5 = 30.
    4. Continuing the trials, we reach:
    - K = 2, S = 3, A = 4:
    - Sum = 1 + 2 + 3 + 8 = 14 (valid).
    - Product = 1 * 2 * 3 * 8 = 48.
    Conclusion
    The only combination that satisfies all conditions while keeping the product equal to the amount given is:
    - Tanya = 1, Kamya = 2, Saumya = 3, Ananya = 8.
    Thus, the sum of all items purchased by the daughters is 14.
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    Group QuestionAnswer the following question based on the information given below.The mother of four daughters: Tanya, Kamya, Saumya and Ananya, had given them a certain sum of money to make purchases of their own choices. Each of them bought a certain number of items. When their mother questioned them on the quantity of purchases made by them, their replies were as follows:1. The sum of all items put together that we have purchased is less than 18.2. The product of the number of items purchased by us is same as the amount you had given to us.3. Further Tanya had purchased the least quantity followed by Kamya, Saumya and Ananya in that order.The mother thought for a while on the quantity purchased by her daughters, but could not get the solution. She then asked her daughters whether any one of them had purchased only a single quantity to which the daughters replied and then the mother knew the number of items purchased by each one of them.Q.What was the sum of all the items put together that was purchased bythese four daughters?Correct answer is '14'. Can you explain this answer?
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    Group QuestionAnswer the following question based on the information given below.The mother of four daughters: Tanya, Kamya, Saumya and Ananya, had given them a certain sum of money to make purchases of their own choices. Each of them bought a certain number of items. When their mother questioned them on the quantity of purchases made by them, their replies were as follows:1. The sum of all items put together that we have purchased is less than 18.2. The product of the number of items purchased by us is same as the amount you had given to us.3. Further Tanya had purchased the least quantity followed by Kamya, Saumya and Ananya in that order.The mother thought for a while on the quantity purchased by her daughters, but could not get the solution. She then asked her daughters whether any one of them had purchased only a single quantity to which the daughters replied and then the mother knew the number of items purchased by each one of them.Q.What was the sum of all the items put together that was purchased bythese four daughters?Correct answer is '14'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Group QuestionAnswer the following question based on the information given below.The mother of four daughters: Tanya, Kamya, Saumya and Ananya, had given them a certain sum of money to make purchases of their own choices. Each of them bought a certain number of items. When their mother questioned them on the quantity of purchases made by them, their replies were as follows:1. The sum of all items put together that we have purchased is less than 18.2. The product of the number of items purchased by us is same as the amount you had given to us.3. Further Tanya had purchased the least quantity followed by Kamya, Saumya and Ananya in that order.The mother thought for a while on the quantity purchased by her daughters, but could not get the solution. She then asked her daughters whether any one of them had purchased only a single quantity to which the daughters replied and then the mother knew the number of items purchased by each one of them.Q.What was the sum of all the items put together that was purchased bythese four daughters?Correct answer is '14'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Group QuestionAnswer the following question based on the information given below.The mother of four daughters: Tanya, Kamya, Saumya and Ananya, had given them a certain sum of money to make purchases of their own choices. Each of them bought a certain number of items. When their mother questioned them on the quantity of purchases made by them, their replies were as follows:1. The sum of all items put together that we have purchased is less than 18.2. The product of the number of items purchased by us is same as the amount you had given to us.3. Further Tanya had purchased the least quantity followed by Kamya, Saumya and Ananya in that order.The mother thought for a while on the quantity purchased by her daughters, but could not get the solution. She then asked her daughters whether any one of them had purchased only a single quantity to which the daughters replied and then the mother knew the number of items purchased by each one of them.Q.What was the sum of all the items put together that was purchased bythese four daughters?Correct answer is '14'. Can you explain this answer?.
    Solutions for Group QuestionAnswer the following question based on the information given below.The mother of four daughters: Tanya, Kamya, Saumya and Ananya, had given them a certain sum of money to make purchases of their own choices. Each of them bought a certain number of items. When their mother questioned them on the quantity of purchases made by them, their replies were as follows:1. The sum of all items put together that we have purchased is less than 18.2. The product of the number of items purchased by us is same as the amount you had given to us.3. Further Tanya had purchased the least quantity followed by Kamya, Saumya and Ananya in that order.The mother thought for a while on the quantity purchased by her daughters, but could not get the solution. She then asked her daughters whether any one of them had purchased only a single quantity to which the daughters replied and then the mother knew the number of items purchased by each one of them.Q.What was the sum of all the items put together that was purchased bythese four daughters?Correct answer is '14'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
    Here you can find the meaning of Group QuestionAnswer the following question based on the information given below.The mother of four daughters: Tanya, Kamya, Saumya and Ananya, had given them a certain sum of money to make purchases of their own choices. Each of them bought a certain number of items. When their mother questioned them on the quantity of purchases made by them, their replies were as follows:1. The sum of all items put together that we have purchased is less than 18.2. The product of the number of items purchased by us is same as the amount you had given to us.3. Further Tanya had purchased the least quantity followed by Kamya, Saumya and Ananya in that order.The mother thought for a while on the quantity purchased by her daughters, but could not get the solution. She then asked her daughters whether any one of them had purchased only a single quantity to which the daughters replied and then the mother knew the number of items purchased by each one of them.Q.What was the sum of all the items put together that was purchased bythese four daughters?Correct answer is '14'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Group QuestionAnswer the following question based on the information given below.The mother of four daughters: Tanya, Kamya, Saumya and Ananya, had given them a certain sum of money to make purchases of their own choices. Each of them bought a certain number of items. When their mother questioned them on the quantity of purchases made by them, their replies were as follows:1. The sum of all items put together that we have purchased is less than 18.2. The product of the number of items purchased by us is same as the amount you had given to us.3. Further Tanya had purchased the least quantity followed by Kamya, Saumya and Ananya in that order.The mother thought for a while on the quantity purchased by her daughters, but could not get the solution. She then asked her daughters whether any one of them had purchased only a single quantity to which the daughters replied and then the mother knew the number of items purchased by each one of them.Q.What was the sum of all the items put together that was purchased bythese four daughters?Correct answer is '14'. Can you explain this answer?, a detailed solution for Group QuestionAnswer the following question based on the information given below.The mother of four daughters: Tanya, Kamya, Saumya and Ananya, had given them a certain sum of money to make purchases of their own choices. Each of them bought a certain number of items. When their mother questioned them on the quantity of purchases made by them, their replies were as follows:1. The sum of all items put together that we have purchased is less than 18.2. The product of the number of items purchased by us is same as the amount you had given to us.3. Further Tanya had purchased the least quantity followed by Kamya, Saumya and Ananya in that order.The mother thought for a while on the quantity purchased by her daughters, but could not get the solution. She then asked her daughters whether any one of them had purchased only a single quantity to which the daughters replied and then the mother knew the number of items purchased by each one of them.Q.What was the sum of all the items put together that was purchased bythese four daughters?Correct answer is '14'. Can you explain this answer? has been provided alongside types of Group QuestionAnswer the following question based on the information given below.The mother of four daughters: Tanya, Kamya, Saumya and Ananya, had given them a certain sum of money to make purchases of their own choices. Each of them bought a certain number of items. When their mother questioned them on the quantity of purchases made by them, their replies were as follows:1. The sum of all items put together that we have purchased is less than 18.2. The product of the number of items purchased by us is same as the amount you had given to us.3. Further Tanya had purchased the least quantity followed by Kamya, Saumya and Ananya in that order.The mother thought for a while on the quantity purchased by her daughters, but could not get the solution. She then asked her daughters whether any one of them had purchased only a single quantity to which the daughters replied and then the mother knew the number of items purchased by each one of them.Q.What was the sum of all the items put together that was purchased bythese four daughters?Correct answer is '14'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Group QuestionAnswer the following question based on the information given below.The mother of four daughters: Tanya, Kamya, Saumya and Ananya, had given them a certain sum of money to make purchases of their own choices. Each of them bought a certain number of items. When their mother questioned them on the quantity of purchases made by them, their replies were as follows:1. The sum of all items put together that we have purchased is less than 18.2. The product of the number of items purchased by us is same as the amount you had given to us.3. Further Tanya had purchased the least quantity followed by Kamya, Saumya and Ananya in that order.The mother thought for a while on the quantity purchased by her daughters, but could not get the solution. She then asked her daughters whether any one of them had purchased only a single quantity to which the daughters replied and then the mother knew the number of items purchased by each one of them.Q.What was the sum of all the items put together that was purchased bythese four daughters?Correct answer is '14'. Can you explain this answer? tests, examples and also practice CAT tests.
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