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The hold of a fishing boat contains only cod, haddock, and halibut. If a fish is selected at random from the hold, what is the probability that it will be a halibut or a haddock?

(1) There are twice as many halibut as cod in the hold, and twice as many haddock as halibut.
(2) Cod account for 1/7 of the fish by number in the hold.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
  • d)
    EACH statement ALONE is sufficient to answer the question asked
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The hold of a fishing boat contains only cod, haddock, and halibut. If...
Statement 1: There are twice as many halibut as cod in the hold, and twice as many haddock as halibut.
Statement 2: Cod account for 1/7 of the fish by number in the hold.

To find: The probability of selecting a halibut or a haddock from the hold.

Approach:
To determine the probability, we need to find the ratio of the number of halibut and haddock to the total number of fish in the hold.

Analysis of Statement 1:
- There are twice as many halibut as cod.
- There are twice as many haddock as halibut.

From this information, we can determine the relative quantities of each type of fish in the hold.

Analysis of Statement 2:
- Cod account for 1/7 of the fish by number in the hold.

From this information, we can determine the relative quantity of cod in the hold.

Combining both statements:
- Combining the information from both statements, we can determine the relative quantities of cod, halibut, and haddock in the hold.

Conclusion:
Both statements provide sufficient information to determine the relative quantities of cod, halibut, and haddock in the hold. Therefore, each statement alone is sufficient to answer the question.

Explanation:
From statement 1, we know that there are twice as many halibut as cod. Let's assume there are x cod in the hold. So, there are 2x halibut. Again, from the same statement, we know that there are twice as many haddock as halibut. So, there are 2 * 2x = 4x haddock. Therefore, the total number of fish in the hold is x (cod) + 2x (halibut) + 4x (haddock) = 7x.

From statement 2, we know that cod accounts for 1/7 of the fish by number in the hold. So, the number of cod is x and the total number of fish in the hold is 7x.

Now, we can calculate the probability of selecting a halibut or a haddock from the hold.

Probability = (Number of halibut + Number of haddock) / Total number of fish
Probability = (2x + 4x) / 7x
Probability = 6x / 7x
Probability = 6/7

Therefore, the probability of selecting a halibut or a haddock from the hold is 6/7.

Hence, both statements together are sufficient to answer the question.
Community Answer
The hold of a fishing boat contains only cod, haddock, and halibut. If...
To determine the probability of selecting a halibut or a haddock from the fishing boat's hold, we need to evaluate both statements:
Statement (1): There are twice as many halibut as cod in the hold, and twice as many haddock as halibut. Statement (2): Cod account for 1/7 of the fish by number in the hold.
Statement (1) alone is sufficient to answer the question. Since there are twice as many halibut as cod and twice as many haddock as halibut, it implies that the number of fish in the hold follows a pattern of cod, halibut, haddock, halibut, cod, halibut, haddock, and so on. Therefore, the probability of selecting a halibut or a haddock is 2/3.
Statement (2) alone is also sufficient to answer the question. If cod accounts for 1/7 of the fish by number, it implies that the remaining 6/7 is divided between halibut and haddock. However, we don't have information about the specific ratio or proportions between halibut and haddock, so we cannot determine the exact probability of selecting a halibut or a haddock.
Since both Statement (1) and Statement (2) alone are sufficient to answer the question, the answer is option D: EACH statement ALONE is sufficient to answer the question asked.
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The hold of a fishing boat contains only cod, haddock, and halibut. If a fish is selected at random from the hold, what is the probability that it will be a halibut or a haddock?(1) There are twice as many halibut as cod in the hold, and twice as many haddock as halibut.(2) Cod account for 1/7 of the fish by number in the hold.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer?
Question Description
The hold of a fishing boat contains only cod, haddock, and halibut. If a fish is selected at random from the hold, what is the probability that it will be a halibut or a haddock?(1) There are twice as many halibut as cod in the hold, and twice as many haddock as halibut.(2) Cod account for 1/7 of the fish by number in the hold.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about The hold of a fishing boat contains only cod, haddock, and halibut. If a fish is selected at random from the hold, what is the probability that it will be a halibut or a haddock?(1) There are twice as many halibut as cod in the hold, and twice as many haddock as halibut.(2) Cod account for 1/7 of the fish by number in the hold.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The hold of a fishing boat contains only cod, haddock, and halibut. If a fish is selected at random from the hold, what is the probability that it will be a halibut or a haddock?(1) There are twice as many halibut as cod in the hold, and twice as many haddock as halibut.(2) Cod account for 1/7 of the fish by number in the hold.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer?.
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