If 893 × 78 = p, which of the following is equal to 893 × 79?


Voters from a representative sample of genders, ages, races, and political affiliations were polled


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Voters from a representative sample of genders, ages, races, and political affiliations were polled, and 53% of them said they would vote for incumbent Jana Reyes for mayor over any other candidate. Based on the poll results, the news company concluded that Reyes would win the mayoral race.

In the argument above, the portion in boldface plays which of the following roles?
D. It provides evidence to support another premise of the argument.



  • If the average (arithmetic mean) of the four numbers 3, 15, 32, and (N + 1) is 18, then N =


(C) 21


Every object in a box is either a sphere or a cube, and every object in the box is either red or green. How many objects are in the box?
E. Both statements together are still NOT sufficient



  • greater number of fresh vegetables are sold in City X than in City Y. Therefore, the people in City X have better nutritional habits than those in City Y.

    Each of the following, if true, weakens the conclusion above EXCEPT:

    (E) The average price per pound of vegetables in City Y is lower than the average price per pound of vegetables in City X.






In the figure shown, AC = 2 and BD = DC = 1. What is the measure of angle ABD?
C. 30°

- Dave can deliver four newspapers every minute. At this rate, how many newspapers can he deliver in2 hours?
(E) 480




- In the given figure ABCD is a rectangle and EF || AD. AEG and FEB are two triangles inscribed in the rectangle ABCD such that the area of triangle AEG is half of the area of triangle FEB. What is the area of rectangle ABCD?

(1) EBCF is a square of side length 5 centimeters.
(2) A line passing through point G and parallel to AB divides the rectangle ABCD into 2 equal halves
C. Both statements together are sufficient.


  • The sum of the weekly salaries of 5 employees is $3,250. If each of the 5 salaries is to increase by 10 percent, then the average (arithmetic mean) weekly salary per employee will increase by

E. $65.00


  • Square ABCD is inscribed in circle O. What is the area of square region ABCD?

    (1) The area of circular region O is 64π.
    (2) The circumference of circle O is 16π

D. Each statement alone is sufficient.


  • City X has a population 4 times as great as the population of City Y, which has a population twice as great as the population of City Z. What is the ratio of the population of City X to the population of City Z?

E) 8:1

Today Rebecca, who is 34 years old, and her daughter, who is 8 years old, celebrate their birthdays. How many years will pass before Rebecca’s age is twice her daughter’s age?

(C) 18


  • A, B, C, and D are points on a line. If C is the midpoint of line segment AB and if D is the midpoint of line segment CB, is the length of line segment DB greater than 5?

    2) The length of line segment CD is greater than 6

B. Statement 2 alone is sufficient.



  • The smaller rectangle in the figure above represents the original size of a parking lot before its length and width were each extended by w feet to make the larger rectangular lot shown. If the area of the enlarged lot is twice the area of the original lot, what is the value of w?


(B) 50


  • الشركات التي يتشرك شخصان او اكثر في إدارتها وملكيتها هي:

شكرة تضامن.

  • القدرة على وضع الأهداف الصحيحة والقدرة على تحقيقها هي:

الفعالية.

  • ليست من صفات الخدمات:

تنتج ثم تسستهلك فيما بعد.
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