## Search found 2150 matches

#### A ferry crosses a lake and then returns to its starting point by the same route. The first time it crosses the lake, the

##### A ferry crosses a lake and then returns to its starting point by the same route. The first time it crosses the lake, the

A ferry crosses a lake and then returns to its starting point by the same route. The first time it crosses the lake, the ferry travels at $$15$$ kilometers per hour. The ferry's return trip takes $$3$$ hours. How many hours does the ferry take for the first leg of the trip? 1) The ferry’s average sp...

#### While making a non-stop trip, a bus averaged $$m$$ mph for the first $$5$$ hours and $$n$$ mph, for the remaining $$4$$

##### While making a non-stop trip, a bus averaged $$m$$ mph for the first $$5$$ hours and $$n$$ mph, for the remaining $$4$$

While making a non-stop trip, a bus averaged $$m$$ mph for the first $$5$$ hours and $$n$$ mph, for the remaining $$4$$ hours. What was the average speed of the bus, in mph, for the whole trip?

1) $$7.5m + 6n = 465$$
2) $$2m + 3n = 180$$

The OA is A

6bc7311ff3d3544995cdcaf4af10e95b690b3f22.png Five units squares are arranged in the coordinate plane as shown, with the lower left corner at the origin. The slanted line, extending from $$(a,0)$$ to $$(3,3)$$, divides the entire region into two regions of equal area. What is $$a?$$ A. $$1/2$$ B. $$... #### In the rectangle above, the shaded region is bounded in part by \(4$$ equal arcs with centers at $$P, Q, R,$$ and $$S$$.

##### In the rectangle above, the shaded region is bounded in part by $$4$$ equal arcs with centers at $$P, Q, R,$$ and $$S$$. In the rectangle above, the shaded region is bounded in part by $$4$$ equal arcs with centers at $$P, Q, R,$$ and $$S$$. If $$PQ=6$$ and $$QR=10,$$ what is the area of the shaded region?

A. $$60-9\pi$$
B. $$60-4\pi$$
C. $$32-9\pi$$
D. $$32-4\pi$$
E. $$30-6\pi$$

The OA is A

#### The normal dosage of a particular medicine is $$t$$ tablets per day for each patient. A hospital’s current supply of the

##### The normal dosage of a particular medicine is $$t$$ tablets per day for each patient. A hospital’s current supply of the

The normal dosage of a particular medicine is $$t$$ tablets per day for each patient. A hospital’s current supply of these tablets will last $$p$$ patients for $$d$$ days. If the recommended dosage increases by $$20\%$$ and the number of patients decreases by one-third, then for how many days will t...

#### John’s Pack and Ship uses price discrimination to capture consumer surplus. How much revenue did John's firm earn last

##### John’s Pack and Ship uses price discrimination to capture consumer surplus. How much revenue did John's firm earn last

John’s Pack and Ship uses price discrimination to capture consumer surplus. How much revenue did John's firm earn last week if it shipped $$100$$ packages for customers? 1) For $$75\%$$ of the packages John shipped, he charged the store-front rate. John charged the bulk-rate for the remainder of the...

#### A large rectangular decorative panel of $$45$$ meters (horizontal dimension) by $$6$$ meters (vertical dimension) is to

##### A large rectangular decorative panel of $$45$$ meters (horizontal dimension) by $$6$$ meters (vertical dimension) is to

A large rectangular decorative panel of $$45$$ meters (horizontal dimension) by $$6$$ meters (vertical dimension) is to be completely divided into $$M$$ identical squares, all of them with horizontal and vertical edges. If the smallest measure of length considered for the edges is centimeters ($$1$$...

#### In a survey given to $$100$$ participants at a small business convention last year $$19$$ questions were asked and

##### In a survey given to $$100$$ participants at a small business convention last year $$19$$ questions were asked and

In a survey given to $$100$$ participants at a small business convention last year $$19$$ questions were asked and scored. $$35$$ participants got scores of $$80$$ or greater and $$40$$ got scores of $$40$$ or less and the remaining participants got the same score. If all participants submitted a su...

#### Is the positive integer $$x$$ greater than the positive integer $$y?$$

##### Is the positive integer $$x$$ greater than the positive integer $$y?$$

Is the positive integer x greater than the positive integer $$y?$$

1. One half of $$y$$ equals one-third of $$x$$
2. The difference when $$2y$$ is subtracted from $$x$$ is negative

The OA is A

by swerve

Thu Aug 24, 2023 5:33 pm
Forum: Data Sufficiency
Topic: Is the positive integer $$x$$ greater than the positive integer $$y?$$
Replies: 0
Views: 272

#### Sarah is running a cross-country race on a course that has her run from the start/finish line to a turnaround point,

##### Sarah is running a cross-country race on a course that has her run from the start/finish line to a turnaround point,

Sarah is running a cross-country race on a course that has her run from the start/finish line to a turnaround point, then directly back along the same course to the same line. If she has already reached the turnaround point and traveled the $$20\%$$ of the distance back to the start/finish line, wha...

#### In isosceles triangle $$MNO$$, the length of $$MN$$ is $$5$$. What is the perimeter of the triangle?

##### Re: In isosceles triangle $$MNO$$, the length of $$MN$$ is $$5$$. What is the perimeter of the triangle?

Princeton Review In isosceles triangle $$MNO$$, the length of $$MN$$ is $$5$$. What is the perimeter of the triangle? 1) The length of $$MO$$ is $$11$$. 2) $$NO$$ is longer than $$MN$$. OA A From 1 We know the length of two sides of the triangle and given that it is an isosceles triangle we can obt...

#### Working alone, Mary can pave a driveway in $$8$$ hours and Hillary can pave the same driveway in $$6$$ hours. When they

##### Re: Working alone, Mary can pave a driveway in $$8$$ hours and Hillary can pave the same driveway in $$6$$ hours. When t

Working alone, Mary can pave a driveway in $$8$$ hours and Hillary can pave the same driveway in $$6$$ hours. When they work together, Mary thrives on teamwork so her rate increases by $$33.33\%$$, but Hillary becomes distracted and her rate decreases by $$50\%$$. If they both work together, how ma...

#### Statistics And Sets Problems

##### Statistics And Sets Problems

Joan and Carl played together as a team in the game of Smart Business against the team of Mark and Sandra. In this game, the score of a team is calculated as the average (arithmetic mean) of the individual scores achieved by each player of the team. What was the score of Joan and Carl’s team? 1) Joa...

by swerve

Sun Jul 16, 2023 10:58 am
Forum: Data Sufficiency
Topic: Statistics And Sets Problems
Replies: 0
Views: 387