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If x is a negative number, what is the value of x?
(1) 16x2 – 16x – 5 = 0
(2) ||4x+3| - 5| = 3
- 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 'A'. Can you explain this answer?
Verified Answer
If x is a negative number, what is the value of x?(1) 16x2 – 16x...
Steps 1 & 2: Understand Question and Draw Inferences
Given: x < 0
To find: x = ?
Step 3: Analyze Statement 1 independently
(1) 16x2 – 16x – 5 = 0
x2–x−5/16=0
- 2 values of x (roots) will be obtained from this quadratic equation
- Product of these 2 values = −5/16
- Since the product is negative, one root is positive and the other is negative
- The positive root will be rejected (given: x < 0)
Thus, a unique value of x will be obtained from Statement 1
Statement 1 is sufficient to answer the question.
Step 4: Analyze Statement 2 independently
x= -5/4 We can reject this value as we know that x < 0
Thus, we get 3 possible negative values of x from Statement 2:
Not sufficient to find a unique value of x
Step 5: Analyze Both Statements Together (if needed)
Since we get a unique answer in Step 3, this step is not required
Answer: Option A
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If x is a negative number, what is the value of x?(1) 16x2 – 16x – 5 = 0(2) ||4x+3| - 5| = 3a)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 'A'. Can you explain this answer? for GMAT 2026 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If x is a negative number, what is the value of x?(1) 16x2 – 16x – 5 = 0(2) ||4x+3| - 5| = 3a)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 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x is a negative number, what is the value of x?(1) 16x2 – 16x – 5 = 0(2) ||4x+3| - 5| = 3a)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 'A'. Can you explain this answer?.
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