Here is a data suffic problem I have been stumbling on.
Is f(x) < 0?
(1) f(x) = (x^3)^3(x^5)
(2) x=-2
Is f(x) < 0?
(1) f(x) = (x^3)^3(x^5)
(2) x=-2
BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course
RedeemTarget Test Prep · GMAT
Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

with Chris Peckover, 100th-Percentile GMAT Scorer
Self-paced EA prep. Study on your schedule.

with Logan Thompson
Complete access from day one. Study on your schedule.
Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.
Target question: Is f(x) less than 0?alexandrabiorka wrote: Is f(x) < 0?
(1) f(x) = (x^3)^3(x^5)
(2) x = -2
Question : Is f(x) < 0?alexandrabiorka wrote:Here is a data suffic problem I have been stumbling on.
Is f(x) < 0?
(1) f(x) = (x^3)^3(x^5)
(2) x=-2
Hi @Brent, I think the question stem says: "Is f(x)<0?" And not "Is f(x) greater than 0?" as mentioned in your response.Brent@GMATPrepNow wrote:Target question: Is f(x) greater than 0?alexandrabiorka wrote: Is f(x) < 0?
(1) f(x) = (x^3)^3(x^5)
(2) x = -2
Statement 1: f(x) = (x^3)^3(x^5)
Simplify to get: f(x) = (x^9)(x^5) = x^14
Since there are no restrictions on the value of x, there are several possible cases. Here are two:
Case a: x = 1, in which case f(x) = 1^14 = 1. In this case, f(x) is GREATER than 0
Case b: x = 0, in which case f(x) = 0^14 = 0. In this case, f(x) is NOT GREATER than 0
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: x = -2
Here, we don't know anything about the function f(x)
Consider these two conflicting cases:
Case a: f(x) = x + 3, in which case f(-2) = -2 + 3 = 1. Here, f(x) is GREATER than 0
Case b: f(x) = x - 3, in which case f(-2) = -2 - 3 = -5. Here, f(x) is NOT GREATER than 0
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
Statement 1 tells us that f(x) = x^14
Statement 2 tells us that x = -2
f(-2) = (-2)^14 = SOME POSITIVE VALUE
In other words, f(x) is definitely GREATER then 0
Since we can answer the target question with certainty, the combined statements are SUFFICIENT
Answer = C
Cheers,
Brent
You're absolutely right. I misread the question.harmeen19 wrote:Hi @Brent, I think the question stem says: "Is f(x)<0?" And not "Is f(x) greater than 0?" as mentioned in your response.
With this, Statement A: SUFFICIENT
Taking x=1, f(x) = (1)^14 = 1 , so answer to the question stem is NO
Taking x=0, f(x) = (0)^14 = 0 , so answer to the question stem is NO
We can answer the target question with certainty, so SUFFICIENT
Statement B: INSUFFICIENT since we dont know about the function f(x).
OA: a
New here Create free account