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Directions: The question below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.
Q. Kundu and Puttu can do a work in 12 days. In how many days will Puttu complete the work working alone?
(I) Kundu can complete the work in 36 days.
(II) Kundu is half as efficient as Puttu.
  • a)
    Statement (I) ALONE is sufficient, but statement (II) alone is not sufficient
  • b)
    Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient
  • c)
    BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient
  • d)
    EACH statement ALONE is sufficient
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Directions: The question below consists of a question and two stateme...
Statement (I): Kundu can complete the work in 36 days.
This statement provides information about Kundu's efficiency, but it doesn't give any direct information about Puttu's efficiency or the time taken by Puttu to complete the work. Therefore, this statement alone is not sufficient to answer the question.

Statement (II): Kundu is half as efficient as Puttu.
This statement provides information about the relative efficiencies of Kundu and Puttu. If Kundu is half as efficient as Puttu, it means that Puttu is twice as efficient as Kundu. However, this statement doesn't give any direct information about the time taken by Puttu to complete the work. Therefore, this statement alone is not sufficient to answer the question.

Statements (I) and (II) together:
Combining both statements, we know that Kundu can complete the work in 36 days and Kundu is half as efficient as Puttu. Using this information, we can find the efficiency ratio of Kundu and Puttu.

Let's assume the efficiency of Kundu is K units of work per day and the efficiency of Puttu is P units of work per day. Given that Kundu can complete the work in 12 days, we can write the equation:

12K + 12P = 1 (as the total work is completed in 12 days)

Since Kundu is half as efficient as Puttu, we can write:

K = (1/2)P

Now, substituting the value of K in the equation:

12(1/2)P + 12P = 1
6P + 12P = 1
18P = 1
P = 1/18

Therefore, Puttu can complete the work in 18 days when working alone.

Conclusion:
From the above calculation, we can see that both statements (I) and (II) together are sufficient to answer the question. Hence, the correct answer is option (c) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
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Community Answer
Directions: The question below consists of a question and two stateme...
(i) Puttu can do the job in 36 x 12 / 36-18 days
(ii) Ratio of efficiency for Kundu : Puttu = 1 : 2
∴ ratio of days for Kundu : Puttu = 2 : 1
∴ Puttu will do the job in 12 (2 + 1 / 2) days and Kundu will do it in 2 (2 + 1 / 2) days.
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Directions: The question below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. Kundu and Puttu can do a work in 12 days. In how many days will Puttu complete the work working alone?(I) Kundu can complete the work in 36 days.(II) Kundu is half as efficient as Puttu.a)Statement (I) ALONE is sufficient, but statement (II) alone is not sufficientb)Statement (II) ALONE is sufficient, but statement (I) alone is not sufficientc)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficientd)EACH statement ALONE is sufficientCorrect answer is option 'D'. Can you explain this answer?
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Directions: The question below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. Kundu and Puttu can do a work in 12 days. In how many days will Puttu complete the work working alone?(I) Kundu can complete the work in 36 days.(II) Kundu is half as efficient as Puttu.a)Statement (I) ALONE is sufficient, but statement (II) alone is not sufficientb)Statement (II) ALONE is sufficient, but statement (I) alone is not sufficientc)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficientd)EACH statement ALONE is sufficientCorrect 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 Directions: The question below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. Kundu and Puttu can do a work in 12 days. In how many days will Puttu complete the work working alone?(I) Kundu can complete the work in 36 days.(II) Kundu is half as efficient as Puttu.a)Statement (I) ALONE is sufficient, but statement (II) alone is not sufficientb)Statement (II) ALONE is sufficient, but statement (I) alone is not sufficientc)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficientd)EACH statement ALONE is sufficientCorrect 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 Directions: The question below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. Kundu and Puttu can do a work in 12 days. In how many days will Puttu complete the work working alone?(I) Kundu can complete the work in 36 days.(II) Kundu is half as efficient as Puttu.a)Statement (I) ALONE is sufficient, but statement (II) alone is not sufficientb)Statement (II) ALONE is sufficient, but statement (I) alone is not sufficientc)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficientd)EACH statement ALONE is sufficientCorrect answer is option 'D'. Can you explain this answer?.
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