CAT Exam  >  CAT Questions  >   DIRECTIONS for questions: Answer the questio... Start Learning for Free
DIRECTIONS for questions: Answer the questions on the basis of the information given below.
Rahul and Kiran were playing a game in which Rahul distributes ten cards, numbered 1 through 10, equally between Kiran and him. Rahul initially forms a stack with these ten cards, shuffles them forn times, each time taking four cards which are exactly in the middle of the stack and placing them on top of the stack in the same order. He then distributes the stack of ten cards such that he first gives Kiran the top most card and then takes the next for himself; he gives the next card to Kiran and takes one for himself and so on until all the cards are distributed. After distributing all the cards, the person who has the card numbered 7 is declared the winner.
When Rahul initially formed a stack, the cards were present in the stack in the ascending order of their numbers, with card numbered 1 at the top and card numbered 10 at the bottom.
Q. If the sum of the cards that Kiran has is the lowest possible, which of the following cards will Rahul have?
  • a)
    Card numbered 3
  • b)
    Card numbered 6
  • c)
    Card numbered 2
  • d)
    Card numbered 4
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
DIRECTIONS for questions: Answer the questions on the basis of the in...
The cards are numbered 1 to 10. Depending on how many times Rahul shuffles the stack, the order of the cards will change. The table below provides the arrangements of cards in the stack for different values of n. For each arrangement, the cells shaded in grey represent the cards with Kiran
We can see that n = 7 is the same as n = 0 and the cycle will repeat from n = 7 onwards.
The sum of the cards that Kiran has is the lowest possible for n = 5. Hence, Rahul will have cards numbered 3, 5, 7, 8, 10. From the given options, the answer is option A.
View all questions of this test
Most Upvoted Answer
DIRECTIONS for questions: Answer the questions on the basis of the in...
Analysis:
Rahul shuffles the cards in a specific manner and then distributes them between himself and Kiran. The person who ends up with card number 7 is declared the winner.

Lowest possible sum for Kiran:
- Kiran receives the first card and then every alternate card.
- Since the cards were initially in ascending order, Kiran will receive cards 1, 3, 5, 7, and 9.
- The sum of these cards will be 1 + 3 + 5 + 7 + 9 = 25.

Calculating Rahul's card:
- The sum of all cards from 1 to 10 is 55.
- Since Kiran has cards with a sum of 25, Rahul must have cards with a sum of 55 - 25 = 30.
- The cards Rahul has are 2, 4, 6, 8, and 10.
- The card numbered 3 is the only option from the given choices (2, 4, 6, 3, 10) that Rahul will have to make the sum 30.
Therefore, the correct answer is option A) Card numbered 3.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam

Similar CAT Doubts

Answer the questions based on the following information :Rahul is sales manager of XYZ Computers Ltd. and looks after Delhi market. The company sells laptops in India. He is currently trying to select a distributor for coming five years. The distributor ensures that the products are accessible to the customers in the market. Market share of a company depends on the coverage by the distributor. The total profit potential of the entire laptop market in Delhi is Rs. 5 crores in the current year and present value of next four years’ cumulative profit potential is Rs. 15 crores. The first choice for Rahul is to enter into long-term contract with a distributor M/s Jayshree with whom XYZ company has done business in the past, and whose distribution system reaches 55 percent of all potential customers. At the last moment, however, a colleague suggests Rahul to consider signing a oneyear contract with other distributors. Distributors M/s Bola and M/s James are willing to be partner with Dubin. Although a year ago M/s Bola’s and M/s James’s coverage reached only 40 and 25 percent of customers respectively, they claim to have invested heavily in distribution resources and now expect to be able to reach 60 percent and 75 percent of customers respectively. The probability of M/s Bola’s claim and M/s James’s claim to be true is 0.60 and 0.20 respectively. The knowledge about distributors’ coverage will evolve over time. The assumption is that the true level of coverage offered by the new distributors could be discovered, with certainty, through a one-year trail, and this trail will reveal exactly one of the two levels of coverage: for example in case of M/s Bola – 40 percent (as it was last year) or 60 percent (as claime d). In addition, it is also assumed that whatever the coverage is for both distributors, it will not change over time. Rahul narrows down on three choices, which are as follows:Choice 1. Give a five year contract to the familiar distributor M/s Jayshree.Choice 2. Give a one year contract to the new distributor M/s Bola, and base next year’s decision to renew contract with M/s Bola on observed coverage for next four years or enter into a four years contract with M/s Jayshree.Choice 3. Give a one-year contract to the new distributor M/s James, and base next year’s decision to renew contract with M/s James on observed coverage for next four years or enter into a four years contract with M/s Jayshree..Q.If the distributor M/s James claims a coverage of 55% instead of 75% and probability of this claim to be true is 0.70 instead of 0.20 then which of the following statement is true?

Answer the questions based on the following information :Rahul is sales manager of XYZ Computers Ltd. and looks after Delhi market. The company sells laptops in India. He is currently trying to select a distributor for coming five years. The distributor ensures that the products are accessible to the customers in the market. Market share of a company depends on the coverage by the distributor. The total profit potential of the entire laptop market in Delhi is Rs. 5 crores in the current year and present value of next four years’ cumulative profit potential is Rs. 15 crores. The first choice for Rahul is to enter into long-term contract with a distributor M/s Jayshree with whom XYZ company has done business in the past, and whose distribution system reaches 55 percent of all potential customers. At the last moment, however, a colleague suggests Rahul to consider signing a oneyear contract with other distributors. Distributors M/s Bola and M/s James are willing to be partner with Dubin. Although a year ago M/s Bola’s and M/s James’s coverage reached only 40 and 25 percent of customers respectively, they claim to have invested heavily in distribution resources and now expect to be able to reach 60 percent and 75 percent of customers respectively. The probability of M/s Bola’s claim and M/s James’s claim to be true is 0.60 and 0.20 respectively. The knowledge about distributors’ coverage will evolve over time. The assumption is that the true level of coverage offered by the new distributors could be discovered, with certainty, through a one-year trail, and this trail will reveal exactly one of the two levels of coverage: for example in case of M/s Bola – 40 percent (as it was last year) or 60 percent (as claime d). In addition, it is also assumed that whatever the coverage is for both distributors, it will not change over time. Rahul narrows down on three choices, which are as follows:Choice 1. Give a five year contract to the familiar distributor M/s Jayshree.Choice 2. Give a one year contract to the new distributor M/s Bola, and base next year’s decision to renew contract with M/s Bola on observed coverage for next four years or enter into a four years contract with M/s Jayshree.Choice 3. Give a one-year contract to the new distributor M/s James, and base next year’s decision to renew contract with M/s James on observed coverage for next four years or enter into a four years contract with M/s Jayshree..Q. The expected present value of the five years cumulative profit with choice 3 is

DIRECTIONS for questions: Answer the questions on the basis of the information given below. Rahul and Kiran were playing a game in which Rahul distributes ten cards, numbered 1 through 10, equally between Kiran and him. Rahul initially forms a stack with these ten cards, shuffles them forn times, each time taking four cards which are exactly in the middle of the stack and placing them on top of the stack in the same order. He then distributes the stack of ten cards such that he first gives Kiran the top most card and then takes the next for himself; he gives the next card to Kiran and takes one for himself and so on until all the cards are distributed. After distributing all the cards, the person who has the card numbered 7 is declared the winner.When Rahul initially formed a stack, the cards were present in the stack in the ascending order of their numbers, with card numbered 1 at the top and card numbered 10 at the bottom.Q. If the sum of the cards that Kiran has is the lowest possible, which of the following cards will Rahul have?a)Card numbered 3b)Card numbered 6c)Card numbered 2d)Card numbered 4Correct answer is option 'A'. Can you explain this answer?
Question Description
DIRECTIONS for questions: Answer the questions on the basis of the information given below. Rahul and Kiran were playing a game in which Rahul distributes ten cards, numbered 1 through 10, equally between Kiran and him. Rahul initially forms a stack with these ten cards, shuffles them forn times, each time taking four cards which are exactly in the middle of the stack and placing them on top of the stack in the same order. He then distributes the stack of ten cards such that he first gives Kiran the top most card and then takes the next for himself; he gives the next card to Kiran and takes one for himself and so on until all the cards are distributed. After distributing all the cards, the person who has the card numbered 7 is declared the winner.When Rahul initially formed a stack, the cards were present in the stack in the ascending order of their numbers, with card numbered 1 at the top and card numbered 10 at the bottom.Q. If the sum of the cards that Kiran has is the lowest possible, which of the following cards will Rahul have?a)Card numbered 3b)Card numbered 6c)Card numbered 2d)Card numbered 4Correct answer is option 'A'. 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 DIRECTIONS for questions: Answer the questions on the basis of the information given below. Rahul and Kiran were playing a game in which Rahul distributes ten cards, numbered 1 through 10, equally between Kiran and him. Rahul initially forms a stack with these ten cards, shuffles them forn times, each time taking four cards which are exactly in the middle of the stack and placing them on top of the stack in the same order. He then distributes the stack of ten cards such that he first gives Kiran the top most card and then takes the next for himself; he gives the next card to Kiran and takes one for himself and so on until all the cards are distributed. After distributing all the cards, the person who has the card numbered 7 is declared the winner.When Rahul initially formed a stack, the cards were present in the stack in the ascending order of their numbers, with card numbered 1 at the top and card numbered 10 at the bottom.Q. If the sum of the cards that Kiran has is the lowest possible, which of the following cards will Rahul have?a)Card numbered 3b)Card numbered 6c)Card numbered 2d)Card numbered 4Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONS for questions: Answer the questions on the basis of the information given below. Rahul and Kiran were playing a game in which Rahul distributes ten cards, numbered 1 through 10, equally between Kiran and him. Rahul initially forms a stack with these ten cards, shuffles them forn times, each time taking four cards which are exactly in the middle of the stack and placing them on top of the stack in the same order. He then distributes the stack of ten cards such that he first gives Kiran the top most card and then takes the next for himself; he gives the next card to Kiran and takes one for himself and so on until all the cards are distributed. After distributing all the cards, the person who has the card numbered 7 is declared the winner.When Rahul initially formed a stack, the cards were present in the stack in the ascending order of their numbers, with card numbered 1 at the top and card numbered 10 at the bottom.Q. If the sum of the cards that Kiran has is the lowest possible, which of the following cards will Rahul have?a)Card numbered 3b)Card numbered 6c)Card numbered 2d)Card numbered 4Correct answer is option 'A'. Can you explain this answer?.
Solutions for DIRECTIONS for questions: Answer the questions on the basis of the information given below. Rahul and Kiran were playing a game in which Rahul distributes ten cards, numbered 1 through 10, equally between Kiran and him. Rahul initially forms a stack with these ten cards, shuffles them forn times, each time taking four cards which are exactly in the middle of the stack and placing them on top of the stack in the same order. He then distributes the stack of ten cards such that he first gives Kiran the top most card and then takes the next for himself; he gives the next card to Kiran and takes one for himself and so on until all the cards are distributed. After distributing all the cards, the person who has the card numbered 7 is declared the winner.When Rahul initially formed a stack, the cards were present in the stack in the ascending order of their numbers, with card numbered 1 at the top and card numbered 10 at the bottom.Q. If the sum of the cards that Kiran has is the lowest possible, which of the following cards will Rahul have?a)Card numbered 3b)Card numbered 6c)Card numbered 2d)Card numbered 4Correct answer is option 'A'. 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 DIRECTIONS for questions: Answer the questions on the basis of the information given below. Rahul and Kiran were playing a game in which Rahul distributes ten cards, numbered 1 through 10, equally between Kiran and him. Rahul initially forms a stack with these ten cards, shuffles them forn times, each time taking four cards which are exactly in the middle of the stack and placing them on top of the stack in the same order. He then distributes the stack of ten cards such that he first gives Kiran the top most card and then takes the next for himself; he gives the next card to Kiran and takes one for himself and so on until all the cards are distributed. After distributing all the cards, the person who has the card numbered 7 is declared the winner.When Rahul initially formed a stack, the cards were present in the stack in the ascending order of their numbers, with card numbered 1 at the top and card numbered 10 at the bottom.Q. If the sum of the cards that Kiran has is the lowest possible, which of the following cards will Rahul have?a)Card numbered 3b)Card numbered 6c)Card numbered 2d)Card numbered 4Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of DIRECTIONS for questions: Answer the questions on the basis of the information given below. Rahul and Kiran were playing a game in which Rahul distributes ten cards, numbered 1 through 10, equally between Kiran and him. Rahul initially forms a stack with these ten cards, shuffles them forn times, each time taking four cards which are exactly in the middle of the stack and placing them on top of the stack in the same order. He then distributes the stack of ten cards such that he first gives Kiran the top most card and then takes the next for himself; he gives the next card to Kiran and takes one for himself and so on until all the cards are distributed. After distributing all the cards, the person who has the card numbered 7 is declared the winner.When Rahul initially formed a stack, the cards were present in the stack in the ascending order of their numbers, with card numbered 1 at the top and card numbered 10 at the bottom.Q. If the sum of the cards that Kiran has is the lowest possible, which of the following cards will Rahul have?a)Card numbered 3b)Card numbered 6c)Card numbered 2d)Card numbered 4Correct answer is option 'A'. Can you explain this answer?, a detailed solution for DIRECTIONS for questions: Answer the questions on the basis of the information given below. Rahul and Kiran were playing a game in which Rahul distributes ten cards, numbered 1 through 10, equally between Kiran and him. Rahul initially forms a stack with these ten cards, shuffles them forn times, each time taking four cards which are exactly in the middle of the stack and placing them on top of the stack in the same order. He then distributes the stack of ten cards such that he first gives Kiran the top most card and then takes the next for himself; he gives the next card to Kiran and takes one for himself and so on until all the cards are distributed. After distributing all the cards, the person who has the card numbered 7 is declared the winner.When Rahul initially formed a stack, the cards were present in the stack in the ascending order of their numbers, with card numbered 1 at the top and card numbered 10 at the bottom.Q. If the sum of the cards that Kiran has is the lowest possible, which of the following cards will Rahul have?a)Card numbered 3b)Card numbered 6c)Card numbered 2d)Card numbered 4Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of DIRECTIONS for questions: Answer the questions on the basis of the information given below. Rahul and Kiran were playing a game in which Rahul distributes ten cards, numbered 1 through 10, equally between Kiran and him. Rahul initially forms a stack with these ten cards, shuffles them forn times, each time taking four cards which are exactly in the middle of the stack and placing them on top of the stack in the same order. He then distributes the stack of ten cards such that he first gives Kiran the top most card and then takes the next for himself; he gives the next card to Kiran and takes one for himself and so on until all the cards are distributed. After distributing all the cards, the person who has the card numbered 7 is declared the winner.When Rahul initially formed a stack, the cards were present in the stack in the ascending order of their numbers, with card numbered 1 at the top and card numbered 10 at the bottom.Q. If the sum of the cards that Kiran has is the lowest possible, which of the following cards will Rahul have?a)Card numbered 3b)Card numbered 6c)Card numbered 2d)Card numbered 4Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice DIRECTIONS for questions: Answer the questions on the basis of the information given below. Rahul and Kiran were playing a game in which Rahul distributes ten cards, numbered 1 through 10, equally between Kiran and him. Rahul initially forms a stack with these ten cards, shuffles them forn times, each time taking four cards which are exactly in the middle of the stack and placing them on top of the stack in the same order. He then distributes the stack of ten cards such that he first gives Kiran the top most card and then takes the next for himself; he gives the next card to Kiran and takes one for himself and so on until all the cards are distributed. After distributing all the cards, the person who has the card numbered 7 is declared the winner.When Rahul initially formed a stack, the cards were present in the stack in the ascending order of their numbers, with card numbered 1 at the top and card numbered 10 at the bottom.Q. If the sum of the cards that Kiran has is the lowest possible, which of the following cards will Rahul have?a)Card numbered 3b)Card numbered 6c)Card numbered 2d)Card numbered 4Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev