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The function f is defined by f(x) = px, where x is an integer and p is a constant. What is the value of f(1)?
(1) f(2) = 81
(2) f(3) = -729
  • 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
  • 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 are needed
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The function f is defined by f(x) = px, where x is an integer and p is...
Statement (1): f(2) = 81
Substituting 2 for x in the function, we have:
f(2) = p * 2 = 81
This equation alone does not provide enough information to determine the value of p or f(1). Therefore, Statement (1) alone is not sufficient to answer the question.
Statement (2): f(3) = -729
Substituting 3 for x in the function, we have:
f(3) = p * 3 = -729
This equation alone provides the information to determine the value of p. Dividing both sides of the equation by 3, we find:
p = -729 / 3 = -243
Now we can find the value of f(1) by substituting 1 for x in the function:
f(1) = p * 1 = -243 * 1 = -243
Therefore, from Statement (2) alone, we can determine that the value of f(1) is -243.
Since Statement (2) alone is sufficient to determine the value of f(1), but Statement (1) alone is not sufficient, the answer is B: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
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The function f is defined by f(x) = px, where x is an integer and p is a constant. What is the value of f(1)?(1) f(2) = 81(2) f(3) = -729a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)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 sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'B'. Can you explain this answer?
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The function f is defined by f(x) = px, where x is an integer and p is a constant. What is the value of f(1)?(1) f(2) = 81(2) f(3) = -729a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)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 sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'B'. 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 The function f is defined by f(x) = px, where x is an integer and p is a constant. What is the value of f(1)?(1) f(2) = 81(2) f(3) = -729a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)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 sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The function f is defined by f(x) = px, where x is an integer and p is a constant. What is the value of f(1)?(1) f(2) = 81(2) f(3) = -729a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)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 sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'B'. Can you explain this answer?.
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