A group of 10 athletes was competing in a marathon race. If the range of the distance run by the athletes was 10 kilometers, did the total distance run by the athletes exceed 200 kilometers?(1) The distance covered by one of the athletes was more than 30 kilometers.(2) The total distance covered by 5 athletes was 125 kilometers.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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'A'. Can you explain this answer?

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A group of 10 athletes was competing in a marathon race. If the range of the distance run by the athletes was 10 kilometers, did the total distance run by the athletes exceed 200 kilometers?

(1) The distance covered by one of the athletes was more than 30 kilometers.

(2) The total distance covered by 5 athletes was 125 kilometers.

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 to answer the question asked.
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 specific to the problem are needed.

Correct answer is option 'A'. Can you explain this answer?

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A group of 10 athletes was competing in a marathon race. If the range ...

Steps 1 & 2: Understand Question and Draw Inferences

Let the distances run by athletes be { d₁, d₂, d₃…d₁₀} in ascending order
d₁₀ – d₁ = 10

To Find: If d₁ + d₂ + d₃…+ d₁₀ > 200?

Step 3: Analyze Statement 1 independently

(1) The distance covered by one of the athletes was more than 30 kilometers.

Tells us that either of { d₁, d₂, d₃…d₁₀} = 30
Minimum total distance run by athletes will be if d₁₀ = 30 and d₂ = d₃…= d₁₀= 20 (As the range is 10, the minimum distance run by the athletes is 30 – 10 = 20)
- In this case the total distance run will be = 30 + 20 * 9 = 210, which is greater than 200
So, if even in the case of minimum total distance, the value is greater than 200, we can be sure that for all the other cases, d₁ + d₂ + d₃…+ d₁₀ > 200.
So, the answer to the question is a definite Yes

Sufficient to answer.

Step 4: Analyze Statement 2 independently

(2) The total distance covered by 5 athletes was 125 kilometers.

As statement-2 tells us the distance run by 5 athletes, for finding the total distance run by 10 athletes, we need to find the range of the possible distance run by the other 5 athletes.
- If 125 kilometers + minimum distance run by other 5 athletes > 200 kilometers, then for all the other cases, the total distance run by the athletes will be greater than 200 kilometers. So, the answer to the question would be YES
- If 125 kilometers + maximum distance run by the other 5 athletes ≤ 200 kilometers, then for all the other cases, the total distance run by the 10 athletes will be less than 200 kilometers. So, the answer to the question would be NO.
- For all the other cases, we would need to know the exact distance run by the other 5 athletes.
Minimum possible distance run by the 10 athletes:
- As we are given the range of the distance run by athletes to be 10 kilometers, the distance run by the other 5 athletes will be minimum when the distance run by each of the other 5 athletes is 10 less than the maximum possible distance run by any athlete. The lower the maximum distance run by an athlete, the lower the minimum distance run by the other 5 athletes.
- As we are given that the first 5 athletes ran a total distance of 125 kilometers, the lowest maximum possible distance run here would be 25 kilometers by each of the athlete.
- If each of the 5 athletes ran 25 kilometers, the other 5 should run 25 – 10 = 15 kilometers each.
- In this case, the total distance run by the 10 athletes = 125 +75 = 200.
- Hence the total distance run by the athletes was not greater than 200 kilometers.
Maximum possible distance run by the 10 athletes:
- Using the same logic as above, the maximum distance run by each of the other 5 athletes = 25 + 10 = 35 kilometers
- So, the total distance run by the 10 athletes = 125 + 35*5 = 300 kilometers
So, 200 ≤ Total distance run by 10 athletes ≤ 300
- If the total distance run by the athletes is 200 kilometers, then the answer to the question is NO
- For all the other cases, where the total distance run by the athletes is greater than 200 kilometers, the answer to the question is YES.

Insufficient to answer.

Step 5: Analyze Both Statements Together (if needed)

As we have a unique answer from step-3, this step is not required.

Answer: A

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A group of 10 athletes was competing in a marathon race. If the range of the distance run by the athletes was 10 kilometers, did the total distance run by the athletes exceed 200 kilometers?(1) The distance covered by one of the athletes was more than 30 kilometers.(2) The total distance covered by 5 athletes was 125 kilometers.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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'A'. Can you explain this answer?

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A group of 10 athletes was competing in a marathon race. If the range of the distance run by the athletes was 10 kilometers, did the total distance run by the athletes exceed 200 kilometers?(1) The distance covered by one of the athletes was more than 30 kilometers.(2) The total distance covered by 5 athletes was 125 kilometers.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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'A'. 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 group of 10 athletes was competing in a marathon race. If the range of the distance run by the athletes was 10 kilometers, did the total distance run by the athletes exceed 200 kilometers?(1) The distance covered by one of the athletes was more than 30 kilometers.(2) The total distance covered by 5 athletes was 125 kilometers.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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'A'. 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 group of 10 athletes was competing in a marathon race. If the range of the distance run by the athletes was 10 kilometers, did the total distance run by the athletes exceed 200 kilometers?(1) The distance covered by one of the athletes was more than 30 kilometers.(2) The total distance covered by 5 athletes was 125 kilometers.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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'A'. Can you explain this answer?.

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If the range of the distance run by the athletes was 10 kilometers, did the total distance run by the athletes exceed 200 kilometers?(1) The distance covered by one of the athletes was more than 30 kilometers.(2) The total distance covered by 5 athletes was 125 kilometers.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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A group of 10 athletes was competing in a marathon race. If the range of the distance run by the athletes was 10 kilometers, did the total distance run by the athletes exceed 200 kilometers?(1) The distance covered by one of the athletes was more than 30 kilometers.(2) The total distance covered by 5 athletes was 125 kilometers.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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'A'. 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If the range of the distance run by the athletes was 10 kilometers, did the total distance run by the athletes exceed 200 kilometers?(1) The distance covered by one of the athletes was more than 30 kilometers.(2) The total distance covered by 5 athletes was 125 kilometers.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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'A'. 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If the range of the distance run by the athletes was 10 kilometers, did the total distance run by the athletes exceed 200 kilometers?(1) The distance covered by one of the athletes was more than 30 kilometers.(2) The total distance covered by 5 athletes was 125 kilometers.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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice GMAT tests.

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