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A list contains distinct integers a1, a2, …a10 arranged in ascending order. If the integers of the list lie between -19 and 19, inclusive such that the distance between any two consecutive integers is equal, is one of the terms of this list equal to zero?
(1) All the integers in the list are divisible by 2
(2) a4 = -6
  • 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 'E'. Can you explain this answer?
Verified Answer
A list contains distinct integers a1, a2, …a10 arranged in ascen...
Steps 1 & 2: Understand Question and Draw Inferences
  • a1, a2, …a10  is an arithmetic sequence
    • Maximum Range of the sequence = 19 –(-19)= 38
    • If a1 = -19, the maximum value of common difference can be for a value where a10 ≤ 19
    • a1+ 9d ≤ 19, d ≤ 4.2
    • Possible values of d = {1, 2, 3, 4}
                                                                                   
Step 3: Analyze Statement 1 independently
(1) All the integers in the list are divisible by 2
  • As all the terms of the sequence are even, the difference between any two consecutive terms should also be even.
  • So, possible values of d can be {2 or 4}
    • d =2, the range of the sequence will be 9d = 18. Let’s try to see if we can form a sequence that contains all the positive or negative terms
      • If a1 = -18, a10 = a1 +9d=  -18 +9*2 = 0
      • If a10 = 18, a1 = a10 – 9d = 18 – 9*2 = 0
      • For all the other sequences consisting of both positive and negative terms, 0 will be a part of the sequence
 
  • d= 4, the range of the sequence will be 9d = 36
    • If a1 = -18, a10 = a1 +9d = -18 +36 = 18. The terms of the sequence = {-18,-14,-10,-6,-2,2…18}. Hence, 0 is not a part of the sequence.
    • There is no other sequence possible with d = 4
As we do not have a unique answer, the statement is insufficient to answer the question
 
Step 4: Analyze Statement 2 independently
(2) a4 = -6
  • Difference between -6 and 0 = 6
  • 0 will be a part of the sequence if d = {1,2 or 3}
  • If d= 4, 0 will not be a part of the sequence
Hence, cannot say for sure if 0 is a part of the sequence. Insufficient to answer
 
Step 5: Analyze Both Statements Together (if needed)
(1) d = {2, 4}
(2) a4 = -6
  • If d = 2, 0 will be a part of the sequence
  • If d= 4, 0 will not be a part of the sequence.
Insufficient to answer
Answer: E
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A list contains distinct integers a1, a2, …a10 arranged in ascending order. If the integers of the list lie between -19 and 19, inclusive such that the distance between any two consecutive integers is equal, is one of the terms of this list equal to zero?(1) All the integers in the list are divisible by 2(2) a4 = -6a)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 'E'. Can you explain this answer?
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A list contains distinct integers a1, a2, …a10 arranged in ascending order. If the integers of the list lie between -19 and 19, inclusive such that the distance between any two consecutive integers is equal, is one of the terms of this list equal to zero?(1) All the integers in the list are divisible by 2(2) a4 = -6a)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 'E'. 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 list contains distinct integers a1, a2, …a10 arranged in ascending order. If the integers of the list lie between -19 and 19, inclusive such that the distance between any two consecutive integers is equal, is one of the terms of this list equal to zero?(1) All the integers in the list are divisible by 2(2) a4 = -6a)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 'E'. 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 list contains distinct integers a1, a2, …a10 arranged in ascending order. If the integers of the list lie between -19 and 19, inclusive such that the distance between any two consecutive integers is equal, is one of the terms of this list equal to zero?(1) All the integers in the list are divisible by 2(2) a4 = -6a)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 'E'. Can you explain this answer?.
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If the integers of the list lie between -19 and 19, inclusive such that the distance between any two consecutive integers is equal, is one of the terms of this list equal to zero?(1) All the integers in the list are divisible by 2(2) a4 = -6a)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 'E'. Can you explain this answer?, a detailed solution for A list contains distinct integers a1, a2, …a10 arranged in ascending order. If the integers of the list lie between -19 and 19, inclusive such that the distance between any two consecutive integers is equal, is one of the terms of this list equal to zero?(1) All the integers in the list are divisible by 2(2) a4 = -6a)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 'E'. Can you explain this answer? has been provided alongside types of A list contains distinct integers a1, a2, …a10 arranged in ascending order. If the integers of the list lie between -19 and 19, inclusive such that the distance between any two consecutive integers is equal, is one of the terms of this list equal to zero?(1) All the integers in the list are divisible by 2(2) a4 = -6a)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 'E'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A list contains distinct integers a1, a2, …a10 arranged in ascending order. If the integers of the list lie between -19 and 19, inclusive such that the distance between any two consecutive integers is equal, is one of the terms of this list equal to zero?(1) All the integers in the list are divisible by 2(2) a4 = -6a)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 'E'. Can you explain this answer? tests, examples and also practice GMAT tests.
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