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When the positive integer $$w$$ is dided by 11, the remainder is 4. What is the remainder when $$w^2$$ is divided by 11?


In the xy-plane, what is the area of the quadrilateral region ABCD?
Higgins is that rare phenomenon, a writer to whose fiction one goes in search of (i)_______________ of the writer' s life rather than vice versa, the more usual direction. In a sense, indeed, life and fiction are one for Higgins, since as far as can be ascertained, he has never written of anything that did not (ii)____________ his own experience. Yet even though he mines his own life to supply raw material for his writing, the precise facts of that life remain (ili)______________.


The perimeter of the rectangle in the figure above is 20 and its length and width are integers. Which of the following could be the area of the shaded region?


Square GBDF is inscribed in the isosceles right triangle ACE.

Quantity A

The area of triangular region ABG

Quantity B

$$\frac{1}{4}$$ of the area of triangular region ACE




In the figure above, the line segments represent paths in a garden and the dots represent benches. All of the paths allow two-way traffic except the path between the waterfall bench and the roses bench, which can be traveled only in the direction of the arrow. What is the greatest possible number of different routes from the entrance bench to the fountain bench along these paths that a visitor can travel without passing the same bench more than once?
Approximately what was the percent decrease from Monday to Friday in the daily number of calls received?
For the week shown, which of the following is closest to the average (arithmetic mean) number of calls received per day minus the median number of calls received per day?
If the business received calls of only two types on Saturday and if calls of one of the two types accounted for 25 percent of all the calls received on that day, which of the following could be the remaining type of call?

Indicate all such types of call.
$$t+4=m+7$$

Quantity A

$$t+9$$

Quantity B

$$m+13$$


$$x$$ is 140 percent of $$y$$.

$$x$$ is 70 percent of $$z$$.

Quantity A

$$z$$

Quantity B

$$2y$$


Quantity A

$$r+s$$

Quantity B

$$0$$


According to the passage, astronomers` belief that comets are pristine relics was
The integer $$n$$ is the product of four different prime numbers. If $$n$$ divided by 35 is a multiple of 13, which of the following could be equal to $$n$$ divided by 7?
The integer $$t$$ is the product of four different prime numbers. If $$t$$ divided by 35 is a multiple of 11, which of the following could be equal to $$t$$ divided by
$$\frac{n}{390}$$ is a prime number less than 12, and one of the prime factors of $$n$$ is not a prime factor of 390.

Quantity A

$$n$$

Quantity B

$$3,000$$


The integer $$t$$ is the product of four different prime numbers. If $$t$$ is divided by 6 is a multiple of 7, which of the following could be equal to $$t$$ divided by 2?
The integer $$m$$ is the product of four different prime numbers. If the result when $$m$$ is divided by 35 is a multiple of 11, which of the following could be the result when $$m$$ divided by 7?
The integer $$n$$ is the product of four different prime numbers. If $$n$$ divided by 77 is a multiple of 13, which of the following could be equal to $$n$$ divided by 11?
Proponents of the legislation argued that its critics` valid but minor points did not________ the assertion that the bill would be far more beneficial than hurtful to the nation's citizens.

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