List A consists of 10 distinct integers arranged in ascending order. Is the difference between the sixth term and the fifth term of list A greater than 5?(1) The difference between any two integers in list A is a multiple of 5.(2) The median of the list is an integer.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 'C'. Can you explain this answer?

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List A consists of 10 distinct integers arranged in ascending order. Is the difference between the sixth term and the fifth term of list A greater than 5?

(1) The difference between any two integers in list A is a multiple of 5.

(2) The median of the list is an integer.

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 'C'. Can you explain this answer?

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List A consists of 10 distinct integers arranged in ascending order. I...

Given:

List A = {a_1, a_2, a_3, a_4, a_5, a_6, a_7, a_8, a_9, a₁₀}
1. consists of all integers,
2. where a₁₀ > a₉> a₈…> a₂> a₁

To Find: Is a₆ – a₅ > 5?

Step 4: Analyse Statement 2 independently

The median of the list is an integer.

Median =?
- List contains 10 elements
- a₅& a₆are integers at the centre of the list (in ascending order)
- Median of the list = a5+a62

- = m, where m is an integer
Rearranging, we get a₅+ a₆ = 2m = even

If sum of a₆ & a₅is even, then
- Difference of a₆ & a₅is also even

No information about values of the terms , so cannot tell if (a₆ – a₅) > 5
Hence, statement 2 is insufficient to answer the question.

Step 5: Analyse Both Statements Together (if needed)

From statement 1, a₆ – a₅ = {5, 10, 15}

From statement 2, a₆ – a₅ = even
Combining the two,
- a₆ – a₅ = even multiples of 5 = {10, 20, 30…}
- a₆ – a₅ > 5
- So, we can answer the question.
Hence statement 1 and statement 2 together are sufficient to arrive at a definite answer.

Answer: C

Step 3: Analyse Statement 1 independently

The difference between any two integers in list A is a multiple of 5.

Difference between any two terms of A can be = {5,10,15…}
- a₆ – a₅ = {5, 10, 15…}
- Since the difference can also = 5, we cannot be certain that a₆ – a₅ > 5.

Hence, Statement 1 is insufficient to answer the question.

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Most Upvoted Answer

List A consists of 10 distinct integers arranged in ascending order. I...

Statement (1): The difference between any two integers in list A is a multiple of 5.
- This statement tells us that the difference between any two integers in the list is always a multiple of 5.
- However, it does not provide any specific information about the difference between the sixth term and the fifth term.
- We cannot determine whether the difference is greater than 5 based on this statement alone.

Statement (2): The median of the list is an integer.
- This statement tells us that the median of the list is an integer.
- Since the list has 10 distinct integers, the median will be the average of the fifth and sixth terms.
- If the median is an integer, then the sum of the fifth and sixth terms must be even.
- However, this information alone does not allow us to determine whether the difference between the sixth term and the fifth term is greater than 5.

Statements (1) and (2) together:
- Combining the information from both statements, we know that the difference between any two integers in the list is a multiple of 5 and that the median is an integer.
- Since the list is in ascending order, the difference between the sixth term and the fifth term will be one of the differences between two adjacent terms in the list.
- If the difference between any two adjacent terms is a multiple of 5, then the difference between the sixth term and the fifth term must also be a multiple of 5.
- However, we still cannot determine whether the difference is greater than 5.
- Therefore, even when considering both statements together, we cannot definitively answer whether the difference between the sixth term and the fifth term is greater than 5.

Conclusion:
- Neither statement alone is sufficient to answer the question.
- Even when both statements are considered together, the answer is still not determinable.
- Therefore, the correct answer is option (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.

Answered by Talent Skill Learning · View profile

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List A consists of 10 distinct integers arranged in ascending order. Is the difference between the sixth term and the fifth term of list A greater than 5?(1) The difference between any two integers in list A is a multiple of 5.(2) The median of the list is an integer.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 'C'. Can you explain this answer?

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List A consists of 10 distinct integers arranged in ascending order. Is the difference between the sixth term and the fifth term of list A greater than 5?(1) The difference between any two integers in list A is a multiple of 5.(2) The median of the list is an integer.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 'C'. 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 List A consists of 10 distinct integers arranged in ascending order. Is the difference between the sixth term and the fifth term of list A greater than 5?(1) The difference between any two integers in list A is a multiple of 5.(2) The median of the list is an integer.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 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for List A consists of 10 distinct integers arranged in ascending order. Is the difference between the sixth term and the fifth term of list A greater than 5?(1) The difference between any two integers in list A is a multiple of 5.(2) The median of the list is an integer.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 'C'. Can you explain this answer?.

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