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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?

Answers

Given:         
  1. List A = {a1, a2, a3, a4, a5, a6, a7, a8, a9, 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 & a6 are 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 & a5 is even, then
    • Difference of a6 & a5 is 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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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 2023 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 2023 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?.
Solutions 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? in English & in Hindi are available as part of our courses for GMAT. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
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Given: List A = {a1, a2, a3, a4, a5, a6, a7, a8, a9, a10} consists of all integers, where a10 a9 a8 a2 a1 To Find: Is a6 a5 5?Step 4: Analyse Statement 2 independentlyThe median of the list is an integer. Median =? List contains 10 elements a5 a6 are 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 a5 is even, then Difference of a6 a5 is 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: CStep 3: Analyse Statement 1 independentlyThe 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.