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What is the greatest possible value of the function $$f(x)?$$

What is the greatest possible value of the function $$f(x)?$$

What is the greatest possible value of the function $$f(x)?$$

(1) $$f(x) = k - x^2.$$

(2) The straightline distance between the two roots of $$f(x)$$ is $$6.$$

Source: Princeton Review

by M7MBA

Fri Jan 28, 2022 8:39 am
Forum: Data Sufficiency
Topic: What is the greatest possible value of the function $$f(x)?$$
Replies: 0
Views: 5

At a certain hospital, 75% of the interns receive fewer than 6 hours of sleep and report feeling tired during their shif

At a certain hospital, 75% of the interns receive fewer than 6 hours of sleep and report feeling tired during their shif

At a certain hospital, 75% of the interns receive fewer than 6 hours of sleep and report feeling tired during their shifts. At the same time, 70% of the interns who receive 6 or more hours of sleep report no feelings of tiredness. If 80% of the interns receive fewer than 6 hours of sleep, what perce...

Is $$|xy| > x^2\cdot y^2 ?$$

Is $$|xy| > x^2\cdot y^2 ?$$

Is $$|xy| > x^2\cdot y^2 ?$$

(1) $$0 < x^2 < \dfrac14$$
(2) $$0 < y^2 < \dfrac19$$

Source: GMAT Prep

by M7MBA

Fri Jan 28, 2022 8:36 am
Forum: Data Sufficiency
Topic: Is $$|xy| > x^2\cdot y^2 ?$$
Replies: 0
Views: 5

When $$24$$ is divided by the positive integer $$n,$$ the remainder is $$4.$$ Which of the following statements about

When $$24$$ is divided by the positive integer $$n,$$ the remainder is $$4.$$ Which of the following statements about

When $$24$$ is divided by the positive integer $$n,$$ the remainder is $$4.$$ Which of the following statements about $$n$$ must be true? I. $$n$$ is even. II. $$n$$ is a multiple of $$5.$$ III. $$n$$ is a factor of $$20.$$ A) III only B) I and II only C) I and III only D) II and III only E) I, II, ...

If $$c$$ is a constant and $$x$$ is a variable, what is the value of $$c$$ in the equation $$x^2+24x+c=0?$$

If $$c$$ is a constant and $$x$$ is a variable, what is the value of $$c$$ in the equation $$x^2+24x+c=0?$$

If $$c$$ is a constant and $$x$$ is a variable, what is the value of $$c$$ in the equation $$x^2+24x+c=0?$$

(1) The equation $$x^2+24x+c=0$$ has exactly one distinct solution.
(2) $$c$$ is less than or equal to $$144.$$

Source: Princeton Review

Eight friends go to watch a movie but only $$5$$ tickets were available. In how many different ways can $$5$$ people sit

Eight friends go to watch a movie but only $$5$$ tickets were available. In how many different ways can $$5$$ people sit

Eight friends go to watch a movie but only $$5$$ tickets were available. In how many different ways can $$5$$ people sit and watch the movie?

A) $$8C5$$

B) $$8\cdot 7 \cdot 6\cdot 5\cdot 4$$

C) $$5!$$

D) $$\dfrac{8!}{5!}$$

E) $$8\cdot 5$$

Source: Veritas Prep

The table above shows the cancellation fee schedule that a travel agency uses to determine the fee charged to a tourist

The table above shows the cancellation fee schedule that a travel agency uses to determine the fee charged to a tourist

The table above shows the cancellation fee schedule that a travel agency uses to determine the fee charged to a tourist who cancels a trip prior to departure. If a tourist canceled a trip with a package price of $$\1,700$$ and a departure date of September $$4,$$ on what day was the trip canceled? ...

Five A-list actresses are vying for the three leading roles in the new film, "Catfight in Denmark." The actresses are

Five A-list actresses are vying for the three leading roles in the new film, "Catfight in Denmark." The actresses are

Five A-list actresses are vying for the three leading roles in the new film, "Catfight in Denmark." The actresses are Julia Robards, Merly Strep, Sally Fieldstone, Lauren Bake-all, and Hallie Strawberry. Assuming that no actress has any advantage in getting any role, what is the probability that Jul...

In a certain conference room each row of chairs has the same number of chairs, and the number of rows is 1 less than the

In a certain conference room each row of chairs has the same number of chairs, and the number of rows is 1 less than the

In a certain conference room, each row of chairs has the same number of chairs, and the number of rows is 1 less than the number of chairs in a row. How many chairs are in a row? (1) There is a total of 72 chairs. (2) After 1 chair is removed from the last row, there is a total of 17 chairs in the l...

A train $$X$$ starts from Meerut at 4 p.m. and reaches Ghaziabad at 5 p.m.while another train $$Y$$ starts from Ghaziaba

A train $$X$$ starts from Meerut at 4 p.m. and reaches Ghaziabad at 5 p.m.while another train $$Y$$ starts from Ghaziaba

A train $$X$$ starts from Meerut at 4 p.m. and reaches Ghaziabad at 5 p.m.while another train $$Y$$ starts from Ghaziabad at 4 p.m. and reaches Meerut at 5:30 p.m. The two trains will cross each other at: A. 4:36 p.m. B. 4:42 p.m. C. 4:48 p.m. D. 4:50 p.m. E. 4:52 p.m. Answer: A Source: Official Guide

A certain economics class consists of 50 women and 30 men. How many of the men in the class are business majors?

A certain economics class consists of 50 women and 30 men. How many of the men in the class are business majors?

A certain economics class consists of 50 women and 30 men. How many of the men in the class are business majors?

(1) 40 percent of the women in the class are business majors.
(2) 50 percent of all the people in the class are business majors.

Source: GMAT Prep

At a certain symphonic concert, tickets for the orchestra level were $$\50$$ and tickets for the balcony level were

At a certain symphonic concert, tickets for the orchestra level were $$\50$$ and tickets for the balcony level were

At a certain symphonic concert, tickets for the orchestra level were $$\50$$ and tickets for the balcony level were $$\30.$$ These two ticket types were the only source of revenue for this concert. If $$R\%$$ of the revenue for the concert was from the sale of balcony tickets, and $$B\%$$ of the t...

If $$x, y,$$ and $$z$$ are integers greater than $$1,$$ and $$3^{27}\cdot 5^{10}\cdot z=5^8\cdot 9^{14}\cdot x^y,$$ then

If $$x, y,$$ and $$z$$ are integers greater than $$1,$$ and $$3^{27}\cdot 5^{10}\cdot z=5^8\cdot 9^{14}\cdot x^y,$$ then

If $$x, y,$$ and $$z$$ are integers greater than $$1,$$ and $$3^{27}\cdot 5^{10}\cdot z=5^8\cdot 9^{14}\cdot x^y,$$ then what is the value of $$x?$$

(1) $$y$$ is prime.
(2) $$x$$ is prime.

Source: Manhattan GMAT

Within equilateral triangle $$A,$$ circle $$B$$ is inscribed; within circle $$B,$$ square $$C$$ is inscribed; within

Within equilateral triangle $$A,$$ circle $$B$$ is inscribed; within circle $$B,$$ square $$C$$ is inscribed; within

Within equilateral triangle $$A,$$ circle $$B$$ is inscribed; within circle $$B,$$ square $$C$$ is inscribed; within square $$C,$$ circle $$D$$ is inscribed; within circle $$D,$$ square $$E$$ is inscribed; within square $$E,$$ circle $$F$$ is inscribed; finally, within circle $$F,$$ equilateral tria...

Is the integer $$n$$ a multiple of $$140?$$

Is the integer $$n$$ a multiple of $$140?$$

Is the integer $$n$$ a multiple of $$140?$$

(1) $$n$$ is a multiple of $$10.$$
(2) $$n$$ is a multiple of $$14.$$

Topic: Is the integer $$n$$ a multiple of $$140?$$