July 17th 2007[quantitative]

1 For how many of the integers from 10 to 99 is at least one of the two digits a 4?
(A) 9
(B) 10
(C) 18
(D) 19
(E) 20 C

2 If the average (arithmetic mean) of a,b, and c is 40, what is the average (arithmetic
mean) of (3a + 10), (3b + 10) , and (3c + 10) ?
(A) 50
(B) 70
(C) 130
(D) 150
(E) It cannot be determined from the information given. C

3 If each of 4 subsidiaries of Corporation R has been granted a line of credit of $700,000 and each of the other 3 subsidiaries of Corporation R has been granted a line of credit of
$112,000, what is the average (arithmetic mean) line of credit granted to a subsidiary of
Corporation R?
(A) $1,568,000
(B) $448,000
(C) $406,000
(D) $313,600
(E) $116,000 B


4 The volume of a box with a square base is 54 cubic centimeters. If the height of the box is twice the width of the base, what is the height, in centimeters?
(A) 2
(B) 3
(C) 4
(D) 6
(E) 9 B

July 19th 2007[quantitative]

1 If (a -1)(b - 2) = 0, which of the following must be true?
I. a = 1 and b = 2.
II. If a ¹1, then b = 2
III. If a =1, then b ¹ 2 .
(A) I only
(B) II only
(C) III only
(D) I and II
(E) II and III b

2 If (x - 5)( y + 2) = 0 , which of the following must be true?
(A) x = y
(B) x > y
(C) x < y (D) xy = -10 (A) None of the above e
3 If (-2,k) is a point on the graph of y = 2×2 - 3x +1, then k =
(A) -13 (B) -1 (C) 3 (D) 11 (E) 15 e

4 The product of two positive integers m and n is twice their sum. If n is 6, what is the value of m ?
(A) 8 (B) 6 (C) 4 (D) 3 (E) 2 d

5 If x : y = 2 :3 , y : z = 3: 4 , and x = 8 , then z - y = (A) 1 (B) 4 (C) 6 (D) 8 (E) 12 b
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July 21st, 2007[ SENTENCE COMPLETION]

choose the correct answers from the given choices

1) Some of the world’s most notorious criminals put on a_______________of piety and respectability.

2) Speaking in riddles and dressed in old robes, the artist gained a reputation as something of an____________________

3) The________________between the French and the English regularly erupted into open warfare.

4) The_____________________of penicillin was unsurpassed when it was first introduced; the drug completely eliminated almost all bacterial infections for which it was administered.

5) The___________________of the Sun King’s court is evident in the lavish decoration and luxuriousness of his palace at Versailles.

6) The Ayatollah Khomeini’s____________________of our President and people whipped up the frenzy of the Iranian “students.”

7) The countess complained that the vulgar peasants lacked the__________________appropriate for a visit to the palace.

8) The form and physiology of leaves vary according to the______________________in which they develop: for example, leaves display a wide range of adaptations to different degrees of light and moisture.

9) The imposition of harsh taxes was the____________________that finally brought on the revolution.

10) The repetition of a sound or letter in two or more words in a sequence is an_______________________

a) alliteration b) antipathy c) catalyst d) decorum e) efficacy f) enigma g) environment h) ostentation i) veneer j) vilification

http://www.file27.com/id829/SENTENCECOMPLETION9.txt

July 21st, 2007[ READING COMPREHENSION]

The principle of selection solved the riddle as to how what
was purposive could conceivably be brought about without the
intervention of a directing power, the riddle which animate
nature presents to our intelligence at every turn, and in
5 face of which the mind of a Kant could find no way out, for
he regarded a solution of it as not to be hoped for. For,
even if we were to assume an evolutionary force that is
continually transforming the most primitive and the simplest
forms of life into ever higher forms, and the homogeneity of
10 primitive times into the infinite variety of the present, we
should still be unable to infer from this alone how each of
the numberless forms adapted to particular conditions of life
should have appeared precisely at the right moment in the
history of the earth to which their adaptations were
15 appropriate, and precisely at the proper place in which all
the conditions of life to which they were adapted occurred:
the humming-birds at the same time as the flowers; the
trichina at the same time as the pig; the bark-coloured moth
at the same time as the oak, and the wasp-like moth at the
20 same time as the wasp which protects it. Without processes
of selection we should be obliged to assume a
“pre-established harmony” after the famous Leibnitzian model,
by means of which the clock of the evolution of organisms
is so regulated as to strike in exact synchronism with that
25 of the history of the earth!All forms of life are strictly adapted to the conditions
of their life, and can persist under these conditions alone.
There must therefore be an intrinsic connection between the
conditions and the structural adaptations of the organism,
30 and, since the conditions of life cannot be determined by
the animal itself, the adaptations must be called forth by
the conditions. The selection theory teaches us how this
is conceivable, since it enables us to understand that there
is a continual production of what is non-purposive as well
35 as of what is purposive, but the purposive alone survives,
while the non-purposive perishes in the very act of arising.
This is the old wisdom taught long ago by Empedocles.

1. It can be inferred that the author believes that the “Leibnitzian model” (line 22) is

A. ingenious and worthy of serious consideration

B. untenable by all rational people

C. an acceptable solution to Kant’s dilemma

D. unworthy of further consideration

E. an alternative that might still be valid

2. The author’s primary purpose in this extract is to

A. suggest that a particular theory explains otherwise puzzling phenomena

B. describe the details of the selection theory for a lay audience

C. justify a particularly controversial model of the origins of life

D. persuade the reader that Empedocles was right

E. prove that selection is the only possible way of looking at evolutionary biology

3. The examples in lines 17 - 19 are intended to

A. reinforce the author’s point that is difficult to explain adaptation

B. show that adaptations must take place only at specific times and in specific places

C. give specific illustration of organisms that are particularly well-adapted to their conditions

D. show organisms that have evolved synchronously in a predestined manner

E. demonstrate that intelligent design is needed for purposive evolution

http://www.file27.com/id822/RC5.txt

July 21st, 2007[quantitative]

1. Point Q lies at the center of the square base (ABCD) of the pyramid pictured above. The pyramid’s height (PQ) measures exactly one half the length of each edge of its base, and point E lies exactly halfway between C and D along one edge of the base. What is the ratio of the surface area of any of the pyramid’s four triangular faces to the surface area of the shaded triangle?

1. 3 :√2
2. √5:1
3. 4√3:3
4. 2√2:1
5. 8:√5

2. A rectangular tank 10″ by 8″ by 4″ is filled with water. If all of the water is to be transferred to cube-shaped tanks, each one 3 inches on a side, how many of these smaller tanks are needed?

1. 9
2. 12
3. 16
4. 21
5. 39

3. At 10 a.m. two trains started traveling toward each other from stations 287 miles apart. They passed each other at 1:30 p.m. the same day. If the average speed of the faster train exceeded the average speed of the slower train by 6 miles per hour, which of the following represents the speed of the faster train, in miles per hour?

1. 38
2. 40
3. 44
4. 48
5. 50

4. A portion of $7200 is invested at a 4% annual return, while the remainder is invested at a 5% annual return. If the annual income from both portions is the same, what is the total income from the two investments?

1. $160
2. $320
3. $400
4. $720
5. $1,600

5. (1/4)³ + (3/4)³ + 3(1/4)(3/4)(1/4 + 3/4) =?

1. 1/64
2. 27/64
3. 49/64
4. 0
5. 1

http://www.file27.com/id827/Quant15.txt