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A group of people decided to cut \(128\) trees in a certain number of days. For the first \(4\) days, they were able to

A group of people decided to cut \(128\) trees in a certain number of days. For the first \(4\) days, they were able to achieve their planned per day target. However, for the remaining days, the group was able to cut \(4\) more trees daily than planned. In this way, the group had cut \(164\) trees o...


Garcia purchased two kinds of premium coffee Harbucks Colorado Coffee Emporium. If premium coffee is onle sold in one

Garcia purchased two kinds of premium coffee from Harbucks Colorado Coffee Emporium. If premium coffee is only sold in one pound bags and each pound of premium mild coffee costs \(\$2.10\) and each pound of premium hearty costs \(\$2.30,\) how many pounds of premium mild did Garcia buy? 1. The total...


Together it takes three different machines \(5\) hours to complete a job. The first machine takes \(10\) hours to

Together it takes three different machines \(5\) hours to complete a job. The first machine takes \(10\) hours to complete the job alone and the second machine takes \(15\) hours to complete the job alone. How many hours would it take the third machine alone to complete the job? A. \(20\) B. \(25\) ...


In the diagram above each of the letters represents one of the digits between \(5\) and \(9,\) not inclusive. If each

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In the diagram above each of the letters represents one of the digits between \(5\) and \(9,\) not inclusive. If each row and each column must be filled with distinct digits, what is the sum of \(w, b\) and \(l?\)

1. \(b + k = 14\)

2. \(b + x = 15\)

The OA is C


The variables \(a\) and \(b\) are non-zero integers. If \(a = 2b^3/c,\) what happens to \(c\) when \(a\) is halved and

The variables \(a\) and \(b\) are non-zero integers. If \(a = \dfrac{2b^3}{c},\) what happens to \(c\) when \(a\) is halved and \(b\) is doubled?

A. \(c\) is not changed
B. \(c\) is halved
C. \(c\) is doubled
D. \(c\) is multiplied by \(4\)
E. \(c\) is multiplied by \(16\)

The OA is E


Is integer \(x\) greater than integer \(y?\)

Is integer \(x\) greater than integer \(y?\)

1. \(x^2 + 2xy + y^2 = 0\)

2. \(x^2 – 2xy + y^2 = 0\)

The OA is B

by BTGmoderatorLU

Sun Jan 14, 2024 7:05 am
Forum: Data Sufficiency
Topic: Is integer \(x\) greater than integer \(y?\)
Replies: 0
Views: 86

Is \(m\), which does not equal zero, a positive number?

Is \(m\), which does not equal zero, a positive number?

1) \(m = m^2\)

2) \(m^2 = m^3\)

The OA is D

by BTGmoderatorLU

Sun Jan 14, 2024 6:45 am
Forum: Data Sufficiency
Topic: Is \(m\), which does not equal zero, a positive number?
Replies: 0
Views: 63

At an elementary school, the students in third grade, fourth grade, and fifth grade run an average of \(12, 15,\) and

At an elementary school, the students in third grade, fourth grade, and fifth grade run an average of \(12, 15,\) and \(10\) minutes per day, respectively. There are twice as many third graders as fourth graders, and twice as many fourth graders as fifth graders. What is the average number of minute...


David and Stacey are riding bicycles on a flat road at a constant rate. If Stacey is now three miles ahead of David, in

David and Stacey are riding bicycles on a flat road at a constant rate. If Stacey is now three miles ahead of David, in how many minutes will Stacey be just two miles ahead of David? 1) Stacey is traveling at rate of \(10\,\text{ mph}\) and David is traveling at a rate of \(12 \,\text{mph}\) 2) \(45...


It takes Joey the postman \(1\) hours to run a \(3\) mile long route every day. He delivers packages and then returns to

It takes Joey the postman \(1\) hours to run a \(3\) mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is \(5 \,\text{mile/hour}\), what is the speed with which Joey returns? A. \(11\) B. \(12\) C. \(13\) D...


In a university, there are \(19\) departments. \(13\) males and \(6\) females head one of the departments. If one of the

In a university, there are \(19\) departments. \(13\) males and \(6\) females head one of the departments. If one of the heads of the departments is selected at random, what is the probability that the head of the department selected will be a female who is pursuing Ph. D. program? 1) Among the fema...


\(C\) individuals pledged to pay equal contributions so that a charity's goal of \(\$x\) could be reached. If \(d\) of

\(C\) individuals pledged to pay equal contributions so that a charity's goal of \(\$x\) could be reached. If \(d\) of the contributors failed to pay their share, which of the following represents the additional number of dollars that each of the remaining individuals would have to pay in order to a...


Levon has carrots, Brussel sprouts, and celery sticks in his refrigerator. What is the ratio of the number of carrots to

Levon has carrots, Brussel sprouts, and celery sticks in his refrigerator. What is the ratio of the number of carrots to the number of celery sticks? 1) The number of carrots is \(8/15\) the number of Brussel sprouts 2) The number of Brussel sprouts is three times the number of celery sticks The OA ...


In which of the following pairs are the two numbers reciprocals of one another?

In which of the following pairs are the two numbers reciprocals of one another?

I. \(15\) and \(-1/15\)
II. \(\sqrt{2}\) and \(\dfrac{\sqrt{2}}{2}\)
III. \(4\) and \(1/4\)

A. I only
B. III only
C. I and II
D. II and III
E. I and III

The OA is D