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These statements provide data that may help answer the respective questions. Read the questions and the statements and determine if the data provided by the statements is sufficient or insufficient, on their own or together, to answer the questions.Accordingly, choose the appropriate option given below the questions.
Harry and Sunny have randomly picked 5 cards each from a pack of 10 cards, numbered from 1 to 10. Who has randomly picked the card with number 2 written on it?
Statement I: Sum of the numbers on the cards picked by Harry is 5 more than that of Sunny.
Statement II: One has exactly four even numbered cards while the other has exactly four odd numbered cards.
  • a)
    Statement I alone is sufficient to answer.
  • b)
    Statement II alone is sufficient to answer.
  • c)
    Either of the statement is sufficient to answer.
  • d)
    Both statements are required to answer.
  • e)
    Additional information is required.
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
These statements provide data that may help answer the respective que...
Harry and Sunny have cards numbered from 1 to 10,
Sum of the number of cards picked by them = 1 +2+3+...+10 = 55.
Sum of the numbers on the cards picked by Harry is 5 more than that of Sunny.
Let x be the sum of the numbers picked by Sunny.
x+x+5 = 55
x = 25
25 can be written as 10+9+1 +2+3 or 9+7+5+1 +3 etc. (There are many such combinations). We cannot determine the person who has card number 2.
Statement I alone is insufficient.
Statement II states that one of the 2 persons has exactly 4 even-numbered cards.
The person with 4 even-numbered cards might or might not contain card number 2. Therefore, statement II alone is insufficient.
Combining both the statements, we know that the sum of the numbers on the cards with Harry is 5 more than the sum of the number on the cards with Sunny. Therefore, the sum of the number of cards with Sunny should be 25 and Harry should be 30.
Sum of the 5 even numbers = 2+4+6+8+10 = 30.
Sum of the 5 odd numbers = 1+3+5+7+9 = 25.
By replacing one of the odd numbers with even numbers, we have to make the sums 30 and 25. We cannot replace an odd number with an even number and still get the sum as 25. Therefore, the set with 4 odd numbers must add up to 30 and the set with 4 even numbers must add up to 25. We can interchange 1 with 6 or 3 with 8 or 5 with 10. The card with number 2 will always remain with the person with 4 even cards. The card with number 25 will always remain with Sunny. Therefore, we can determine the answer using both the statements together and hence, option D is the right answer.
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Most Upvoted Answer
These statements provide data that may help answer the respective que...
Statement I: Sum of the numbers on the cards picked by Harry is 5 more than that of Sunny.

Statement II: One has exactly four even numbered cards while the other has exactly four odd numbered cards.

To determine who has randomly picked the card with number 2 written on it, we need to consider the information provided in both statements.

Analysis of Statement I:
The sum of the numbers on the cards picked by Harry is 5 more than that of Sunny. However, this statement does not provide any information about the specific numbers picked by either Harry or Sunny. Therefore, Statement I alone is insufficient to answer the question.

Analysis of Statement II:
One person has exactly four even numbered cards, while the other person has exactly four odd numbered cards. This means that out of the five cards picked by each person, one person has four even numbered cards and one odd numbered card, while the other person has four odd numbered cards and one even numbered card. However, this statement does not provide any specific information about the number 2. Therefore, Statement II alone is insufficient to answer the question.

Combined Analysis:
By combining the information from both statements, we can deduce the following:

- If Harry has four even numbered cards and Sunny has four odd numbered cards, it is possible that the card with number 2 was picked by either Harry or Sunny.
- If Harry has four odd numbered cards and Sunny has four even numbered cards, it is not possible for either Harry or Sunny to have randomly picked the card with number 2, as it is outside the range of numbers they have picked.

Therefore, the data provided by both statements together is sufficient to answer the question.

Conclusion:
The correct answer is option D, as both statements are required to answer the question.
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These statements provide data that may help answer the respective questions. Read the questions and the statements and determine if the data provided by the statements is sufficient or insufficient, on their own or together, to answer the questions.Accordingly, choose the appropriate option given below the questions.Harry and Sunny have randomly picked 5 cards each from a pack of 10 cards, numbered from 1 to 10. Who has randomly picked the card with number 2 written on it?Statement I: Sum of the numbers on the cards picked by Harry is 5 more than that of Sunny.Statement II: One has exactly four even numbered cards while the other has exactly four odd numbered cards.a)Statement I alone is sufficient to answer.b)Statement II alone is sufficient to answer.c)Either of the statement is sufficient to answer.d)Both statements are required to answer.e)Additional information is required.Correct answer is option 'D'. Can you explain this answer?
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These statements provide data that may help answer the respective questions. Read the questions and the statements and determine if the data provided by the statements is sufficient or insufficient, on their own or together, to answer the questions.Accordingly, choose the appropriate option given below the questions.Harry and Sunny have randomly picked 5 cards each from a pack of 10 cards, numbered from 1 to 10. Who has randomly picked the card with number 2 written on it?Statement I: Sum of the numbers on the cards picked by Harry is 5 more than that of Sunny.Statement II: One has exactly four even numbered cards while the other has exactly four odd numbered cards.a)Statement I alone is sufficient to answer.b)Statement II alone is sufficient to answer.c)Either of the statement is sufficient to answer.d)Both statements are required to answer.e)Additional information is required.Correct answer is option 'D'. 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 These statements provide data that may help answer the respective questions. Read the questions and the statements and determine if the data provided by the statements is sufficient or insufficient, on their own or together, to answer the questions.Accordingly, choose the appropriate option given below the questions.Harry and Sunny have randomly picked 5 cards each from a pack of 10 cards, numbered from 1 to 10. Who has randomly picked the card with number 2 written on it?Statement I: Sum of the numbers on the cards picked by Harry is 5 more than that of Sunny.Statement II: One has exactly four even numbered cards while the other has exactly four odd numbered cards.a)Statement I alone is sufficient to answer.b)Statement II alone is sufficient to answer.c)Either of the statement is sufficient to answer.d)Both statements are required to answer.e)Additional information is required.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for These statements provide data that may help answer the respective questions. Read the questions and the statements and determine if the data provided by the statements is sufficient or insufficient, on their own or together, to answer the questions.Accordingly, choose the appropriate option given below the questions.Harry and Sunny have randomly picked 5 cards each from a pack of 10 cards, numbered from 1 to 10. Who has randomly picked the card with number 2 written on it?Statement I: Sum of the numbers on the cards picked by Harry is 5 more than that of Sunny.Statement II: One has exactly four even numbered cards while the other has exactly four odd numbered cards.a)Statement I alone is sufficient to answer.b)Statement II alone is sufficient to answer.c)Either of the statement is sufficient to answer.d)Both statements are required to answer.e)Additional information is required.Correct answer is option 'D'. Can you explain this answer?.
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