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An increasing sequence P consists of 10 distinct integers. How many integers of the sequence are less than 16?
(1) The difference between any two integers of the sequence is divisible by 2 and 3.
(2) If the third term of the sequence P is removed, the magnitude of the product of the terms of the sequence remains unchanged.
  • 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
An increasing sequence P consists of 10 distinct integers. How many in...
Steps 1 & 2: Understand Question and Draw Inferences
Step 3: Analyze Statement 1 independently
(1) The difference between any two integers of the sequence is divisible by 2 and 3.
  • Tells us that the difference between any two integers is of the form (2*3)k = 6k, where k is an integer > 0.
Does not tell us anything about the values of the integers of sequence P.
Insufficient to answer.
 
Step 4: Analyze Statement 2 independently
(2) If the third term of the sequence P is removed, the magnitude of the product of the terms of the sequence remains unchanged.
  • So, the third term i.e. a3 = 1 or -1
The statement does not tell us anything about the other terms.
Insufficient to answer.
 
Step 5: Analyze Both Statements Together (if needed)
(1) Difference between any two integers is of the form (2*3)k = 6k
(2) a3 = 1 or -1
Combining both the statements, we cannot say for sure how many terms are less than 16, as we do know the value of 6k.
So, 6k = 6, 12 or 18.
For each case, we will have a different answer.
Insufficient to answer
 
Answer: E
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An increasing sequence P consists of 10 distinct integers. How many integers of the sequence are less than 16?(1) The difference between any two integers of the sequence is divisible by 2 and 3.(2) If the third term of the sequence P is removed, the magnitude of the product of the terms of the sequence remains unchanged.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 askedc)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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An increasing sequence P consists of 10 distinct integers. How many integers of the sequence are less than 16?(1) The difference between any two integers of the sequence is divisible by 2 and 3.(2) If the third term of the sequence P is removed, the magnitude of the product of the terms of the sequence remains unchanged.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 askedc)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 An increasing sequence P consists of 10 distinct integers. How many integers of the sequence are less than 16?(1) The difference between any two integers of the sequence is divisible by 2 and 3.(2) If the third term of the sequence P is removed, the magnitude of the product of the terms of the sequence remains unchanged.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 askedc)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 An increasing sequence P consists of 10 distinct integers. How many integers of the sequence are less than 16?(1) The difference between any two integers of the sequence is divisible by 2 and 3.(2) If the third term of the sequence P is removed, the magnitude of the product of the terms of the sequence remains unchanged.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 askedc)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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How many integers of the sequence are less than 16?(1) The difference between any two integers of the sequence is divisible by 2 and 3.(2) If the third term of the sequence P is removed, the magnitude of the product of the terms of the sequence remains unchanged.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 askedc)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 An increasing sequence P consists of 10 distinct integers. How many integers of the sequence are less than 16?(1) The difference between any two integers of the sequence is divisible by 2 and 3.(2) If the third term of the sequence P is removed, the magnitude of the product of the terms of the sequence remains unchanged.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 askedc)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 An increasing sequence P consists of 10 distinct integers. How many integers of the sequence are less than 16?(1) The difference between any two integers of the sequence is divisible by 2 and 3.(2) If the third term of the sequence P is removed, the magnitude of the product of the terms of the sequence remains unchanged.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 askedc)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'. 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How many integers of the sequence are less than 16?(1) The difference between any two integers of the sequence is divisible by 2 and 3.(2) If the third term of the sequence P is removed, the magnitude of the product of the terms of the sequence remains unchanged.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 askedc)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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