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Scooter P.

Size:
33
The outer cylinder is (1/2) *

The inner cylinder is (1/2) *

Subtracting the two we get 7850

If **b = 1/3**, and if **m** and **n** are positive integers, which of the following has the greatest value?

**b**^{m - n} **b**^{m + n} **(b**^{m})*(b^{2*n}) **b**^{m*n} The answer cannot be determined.

The trick is that **1/3** raised to the *smallest* number will have the *greatest* value. If **m** and **n** are positive integers, then ** m - n** must be the smallest exponent. Therefore, **b**^{m - n} will have the greatest value.

Let **z||w** be defined for all **z,w** as **z+w+12****12** **24** **36** **48** **144**

What is the value of **12||12**?

The expression **12||12** is defined as the sum of the two numbers, plus **12**. That gives **36**. The math on this one is pretty straightforward, but it can be a little confusing to have so many twelves running around...

Unlike her ---- sister, Maria would boldly join the conversation at any gathering.

brash obstinate apathetic timid humorless

brash obstinate apathetic timid humorless

The sentence tells you that Maria and her sister are not alike. **Bold** and **timid** are antonyms or OPPOSITES. Well done!

Science and justice are two great ---- institutions that fostered Western society's ---- wealth and freedom.

academic . . current European . . detrimental oppressive . . continual secular . . unprecedented financial . . impressive

academic . . current European . . detrimental oppressive . . continual secular . . unprecedented financial . . impressive

This is the best answer. The most important reason this one is right is that *unprecedented* is the word that best captures the author's approving attitude towards science and justice. (We know the author approves of these institutions because he calls them great.)

How many points are there on the line that are **1/2** as far from **v** as they are from **u**?

There is one point between **u** and **v**, and one point to the right of **v**. The point between **u** and **v** is 1/3 of the distance from **v** to **u**. The point to the right of **v** is a point beyond **v** a distance equal to the distance between **u** and **v**. That last part sounds complicated, but it just means that you have to travel a certain distance from the point to **v**, and then the same distance again to **u**. The final result is that it is twice as far to **u** as it is to **v**. All points to the left of **u** are closer to **u** than **v**.

What is the average (arithmetic mean) of the following

five numbers: -8, -6, 3, 7, and 19?

five numbers: -8, -6, 3, 7, and 19?

If

The clock in the figure above shows 3:00. What time will it be when the minute hand rotates 150 degrees?

3:15 3:25 3:35 3:45 3:55

articulated . . uncompromising elucidated . . empirical elaborated . . pacifistic castigated . . apathetic edulcorated . . radical

-5 -3 -2 0 There is not enough information

violent melancholic sensual erotic mawkish

When the wheel spins freely, a point on the outer edge rotates through 720

(A)

How many degrees is angle y?

35 45 55 65 75

What is the value of

6 9 15 18 24

drifted . . institutions exploded . . realities meandered . . rebellions improved . . landscape stagnated . . environment

1 1½ 2 2½

studied . . upward linked . . skyrocketing connected . . plummeting dissociated . . soaring associated . . spiraling

What is the value of ?

6.25 6.0 5.5 4.75 4.0

6.25 6.0 5.5 4.75 4.0

cognizant of reluctant about mournful about disappointed by oblivious to

The old dictator's son supports freedom of the press and has shown other signs of being less ---- than his father, but his ---- instincts are nevertheless limited.

a)tyrannical . . despotic

b)literate . . progressive

c)autocratic . . laconic

d)authoritarian . . reformist

e)demagogic . . liberal

If **(x - 1)**^{2} = x^{2}, what is **x**?

**-1** **-1/2** **0** **1/2** **1**

5 10 15 20 25

What is the value of **2*5*2*5*2*5*2*5**?

100 625 1000 10,000 15,000

100 625 1000 10,000 15,000

a stool, you build it to avoid wobbling with three legs. a stool, you build it to avoid wobbling, with three legs. a stool, you build it with three legs, so that it won’t wobble. a stool, you build it with three legs to avoid wobbling. a stool: you build it to avoid wobbling with three legs.

hybrids of derived from prescriptive to corollaries of antithetical to

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