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A certain aquarium holds three types of fish: angelfish, swordtails and guppies. What is the ratio of the number of guppies to the number of angelfish?
(1) There are 200 fish in the aquarium
(2) 45 percent of the fish are swordtails, and there are twice as many swordtails as there are angelfish.
  • 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 'B'. Can you explain this answer?
Most Upvoted Answer
A certain aquarium holds three types of fish: angelfish, swordtails an...
Understanding the Problem
To find the ratio of guppies to angelfish in the aquarium, we need to derive the number of each type of fish based on the statements provided.
Statement (1) Analysis
- The total number of fish in the aquarium is 200.
- This statement does not provide information about the distribution of the three types of fish (angelfish, swordtails, guppies).
- Without knowing how many angelfish there are, we cannot determine the number of guppies.
Conclusion for Statement (1)
- Not sufficient to answer the question.
Statement (2) Analysis
- 45 percent of the fish are swordtails:
- Total fish = 200, hence swordtails = 0.45 × 200 = 90.
- It is also given that there are twice as many swordtails as angelfish:
- Let the number of angelfish be \( A \).
- Then, \( 90 = 2A \) → \( A = 45 \) (number of angelfish).
- Now, to find the number of guppies:
- Total fish = Angelfish + Swordtails + Guppies
- \( 200 = 45 + 90 + G \)
- \( G = 200 - 135 = 65 \) (number of guppies).
Finding the Ratio
- The ratio of guppies to angelfish = \( \frac{65}{45} \) = \( \frac{13}{9} \).
Conclusion for Statement (2)
- Sufficient to answer the question.
Final Conclusion
- Since Statement (2) alone is sufficient, but Statement (1) is not, the correct answer is option B.
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Community Answer
A certain aquarium holds three types of fish: angelfish, swordtails an...
Statement (1) states that there are 200 fish in the aquarium. However, this information alone does not provide any specific details about the distribution or ratio of the different types of fish in the aquarium. Therefore, statement (1) alone is not sufficient to answer the question.
Statement (2) states that 45 percent of the fish are swordtails, and there are twice as many swordtails as there are angelfish. From this information, we can determine the ratio of swordtails to angelfish, but it doesn't provide any direct information about the number of guppies or their ratio to angelfish. Therefore, statement (2) alone is not sufficient to answer the question.
Considering both statements together, we know from statement (1) that there are 200 fish in the aquarium. From statement (2), we know that 45 percent of the fish are swordtails and there are twice as many swordtails as angelfish.
Since statement (2) provides the information about the ratio of swordtails to angelfish, we can determine the number of angelfish in the aquarium. If the number of angelfish is represented by A, then the number of swordtails is 2A. The total number of angelfish and swordtails is A + 2A = 3A.
We also know from statement (1) that there are 200 fish in total. Therefore, 3A = 200.
Solving this equation, we find A = 66.67, which is not a whole number. This indicates that the ratio of guppies to angelfish cannot be determined with certainty, as it depends on the exact number of fish in the aquarium.
Therefore, when both statements are considered together, they are still not sufficient to answer the question.
Based on our analysis, the answer is B: Statement (2) alone is sufficient, but statement (1) alone is not sufficient to answer the question asked.
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A certain aquarium holds three types of fish: angelfish, swordtails and guppies. What is the ratio of the number of guppies to the number of angelfish?(1) There are 200 fish in the aquarium(2) 45 percent of the fish are swordtails, and there are twice as many swordtails as there are angelfish.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 'B'. Can you explain this answer?
Question Description
A certain aquarium holds three types of fish: angelfish, swordtails and guppies. What is the ratio of the number of guppies to the number of angelfish?(1) There are 200 fish in the aquarium(2) 45 percent of the fish are swordtails, and there are twice as many swordtails as there are angelfish.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 'B'. 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 A certain aquarium holds three types of fish: angelfish, swordtails and guppies. What is the ratio of the number of guppies to the number of angelfish?(1) There are 200 fish in the aquarium(2) 45 percent of the fish are swordtails, and there are twice as many swordtails as there are angelfish.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 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A certain aquarium holds three types of fish: angelfish, swordtails and guppies. What is the ratio of the number of guppies to the number of angelfish?(1) There are 200 fish in the aquarium(2) 45 percent of the fish are swordtails, and there are twice as many swordtails as there are angelfish.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 'B'. Can you explain this answer?.
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