Get detailed explanations to advanced GMAT questions.
If m and n are integers and x > 0, what is the value of x^m+x^n?
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
EACH statement ALONE is sufficient to answer the question asked.
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Option C is the correct answer.
Statement I is insufficient: x^m=81. No info about n. Not sufficient.
Statement II is insufficient: 1+x^(n−m)=10 –> x^(n−m)=9 –> (x^n)/(x^m)=9 –> x^n=9x^m –> x^m+x^n=10x^m. Not sufficient.
Together I and II, x^m+x^n=10*x^m=10∗81. Sufficient.
- If each customer at the outdoor movie last night came in a car, what was the number of cars in which…
- In the figure above, what is the length of segment PQ ?
- On May 1 of last year, Jasmin invested x dollars in a new account at an interest rate of 6 percent per…
- To raise funds, a racing team sold T-shirts imprinted with the team’s logo. The team paid their supplier a…
- A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would…