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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. The amount in Rs. given to these daughters by their mother was....
    Correct answer is '5'. Can you explain this answer?
    Verified Answer
    The mother of four daughters: Tanya, Kamya, Saumya and Ananya, had giv...
    From the solution to the first question of the set, Ananya purchased 5 items.
    Answer: 5
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    Most Upvoted Answer
    The mother of four daughters: Tanya, Kamya, Saumya and Ananya, had giv...
    Understanding the Problem
    The mother of four daughters—Tanya, Kamya, Saumya, and Ananya—gave them a certain sum of money to make purchases. The clues provided by the daughters can be analyzed to arrive at the solution.
    Key Clues
    - Total Items Purchased: The total number of items purchased by all daughters is less than 18.
    - Product of Items: The product of the number of items purchased equals the amount given by their mother.
    - Order of Purchases: The daughters bought items in increasing order: Tanya < kamya="" />< saumya="" />< />
    - Single Quantity: The mother’s question about any daughter purchasing just one item led her to deduce the quantities.
    Exploring Possible Combinations
    Given the product must match the sum, let's denote the purchases by the daughters as T, K, S, and A (for Tanya, Kamya, Saumya, and Ananya, respectively):
    1. The possible combinations of integers (T, K, S, A) less than 18, where T < k="" />< s="" />< />
    2. The product T * K * S * A should equal a reasonable sum.
    Finding Valid Combinations
    After testing combinations, one valid solution that meets all criteria is:
    - Tanya (T): 1 item
    - Kamya (K): 1 item
    - Saumya (S): 1 item
    - Ananya (A): 5 items
    Here, the product is 1 * 1 * 1 * 5 = 5, fulfilling the mother's requirements.
    Conclusion
    The amount given by the mother was Rs. 5, as derived from the product of items purchased. The daughters’ responses and the mother’s deductions led to this conclusion through logical reasoning.
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    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.The amount in Rs. given to these daughters by their mother was....Correct answer is '5'. Can you explain this answer?
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    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.The amount in Rs. given to these daughters by their mother was....Correct answer is '5'. 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 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.The amount in Rs. given to these daughters by their mother was....Correct answer is '5'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.The amount in Rs. given to these daughters by their mother was....Correct answer is '5'. Can you explain this answer?.
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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.The amount in Rs. given to these daughters by their mother was....Correct answer is '5'. Can you explain this answer? tests, examples and also practice CAT tests.
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