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Amit went to buy an article, whose maximum retail cost is Rs. 10000, but due to festival season the shopkeeper had offered various discounts, there was also an option for a buyer to pay the price by interest-free equal monthly installments (EMI), where the buyer can pay, down-payment of even Re.1. The person did not know anything about offers/price beforehand, so he took all his money distributed in ' n' bags, such that each bag has unique amount (partial withdrawal from any bag is not possible), but when he came to know about the EMI option, he preferred to opt for that option.
On the basis of this information, answer the questions below.
 
Q. Amit has taken N bags with him so that he can pay any amount up to Rs. 4500 as a down payment. (A bag has amount 2(N - 1); N   0, considering the fact that partial withdrawal from any bag is not possible). What is the highest amount he can pay as a down payment, by using same number of bags?
  • a)
    8171
  • b)
    8191
  • c)
    8161
  • d)
    8151
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Amit went to buy an article, whose maximum retail cost is Rs. 10000, b...
4500 213 = 8192
The number of bags required for a down payment of an amount less than or equal to Rs. 4500 is 13.
Using all these bags, the highest amount he can pay as a down payment is (213 - 1) = Rs. 8191. (Note: 20 + 21 + 22 + ... + 2n = 2(n + 1) - 1).
 Hence, option 2.
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Most Upvoted Answer
Amit went to buy an article, whose maximum retail cost is Rs. 10000, b...
It is said that the bags contain amount as 2^n-1 . 8191 =8192-1.8192 is 2 raised to the power of 13.
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Community Answer
Amit went to buy an article, whose maximum retail cost is Rs. 10000, b...
4500 213 = 8192
The number of bags required for a down payment of an amount less than or equal to Rs. 4500 is 13.
Using all these bags, the highest amount he can pay as a down payment is (213 - 1) = Rs. 8191. (Note: 20 + 21 + 22 + ... + 2n = 2(n + 1) - 1).
 Hence, option 2.
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Amit went to buy an article, whose maximum retail cost is Rs. 10000, but due to festival season the shopkeeper had offered various discounts, there was also an option for a buyer to pay the price by interest-free equal monthly installments (EMI), where the buyer can pay, down-payment of even Re.1. The person did not know anything about offers/price beforehand, so he took all hismoney distributed in nbags, such that each bag has unique amount (partial withdrawal from any bag is not possible), but when he came to know about the EMI option, he preferred to opt for that option.On the basis of this information, answer the questions below.Q. Amit has taken N bags with him so that he can pay any amount up to Rs. 4500 as a down payment. (A bag has amount 2(N - 1); N 0, considering the fact that partial withdrawal from any bag is not possible). What is the highest amount he can pay as a down payment, by using same number of bags?a)8171b)8191c)8161d)8151Correct answer is option 'B'. Can you explain this answer?
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Amit went to buy an article, whose maximum retail cost is Rs. 10000, but due to festival season the shopkeeper had offered various discounts, there was also an option for a buyer to pay the price by interest-free equal monthly installments (EMI), where the buyer can pay, down-payment of even Re.1. The person did not know anything about offers/price beforehand, so he took all hismoney distributed in nbags, such that each bag has unique amount (partial withdrawal from any bag is not possible), but when he came to know about the EMI option, he preferred to opt for that option.On the basis of this information, answer the questions below.Q. Amit has taken N bags with him so that he can pay any amount up to Rs. 4500 as a down payment. (A bag has amount 2(N - 1); N 0, considering the fact that partial withdrawal from any bag is not possible). What is the highest amount he can pay as a down payment, by using same number of bags?a)8171b)8191c)8161d)8151Correct answer is option 'B'. 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 Amit went to buy an article, whose maximum retail cost is Rs. 10000, but due to festival season the shopkeeper had offered various discounts, there was also an option for a buyer to pay the price by interest-free equal monthly installments (EMI), where the buyer can pay, down-payment of even Re.1. The person did not know anything about offers/price beforehand, so he took all hismoney distributed in nbags, such that each bag has unique amount (partial withdrawal from any bag is not possible), but when he came to know about the EMI option, he preferred to opt for that option.On the basis of this information, answer the questions below.Q. Amit has taken N bags with him so that he can pay any amount up to Rs. 4500 as a down payment. (A bag has amount 2(N - 1); N 0, considering the fact that partial withdrawal from any bag is not possible). What is the highest amount he can pay as a down payment, by using same number of bags?a)8171b)8191c)8161d)8151Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Amit went to buy an article, whose maximum retail cost is Rs. 10000, but due to festival season the shopkeeper had offered various discounts, there was also an option for a buyer to pay the price by interest-free equal monthly installments (EMI), where the buyer can pay, down-payment of even Re.1. The person did not know anything about offers/price beforehand, so he took all hismoney distributed in nbags, such that each bag has unique amount (partial withdrawal from any bag is not possible), but when he came to know about the EMI option, he preferred to opt for that option.On the basis of this information, answer the questions below.Q. Amit has taken N bags with him so that he can pay any amount up to Rs. 4500 as a down payment. (A bag has amount 2(N - 1); N 0, considering the fact that partial withdrawal from any bag is not possible). What is the highest amount he can pay as a down payment, by using same number of bags?a)8171b)8191c)8161d)8151Correct answer is option 'B'. Can you explain this answer?.
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