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[GRE模拟] GRE留学外语考试试题(一)

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发表于 2012-8-15 12:40:43 | 显示全部楼层 |阅读模式
Time -30 minutes
/ E! K# ?3 m2 L$ @4 Q9 j  30 Questions, ?! R! G7 ^5 K& U$ o9 ^) W2 Q
  In the rectangular coordinate system, the circle with- z  h- J6 P- O5 T3 E' e
  center P is tangent to both the x- and y-axes.
$ m# R9 Z/ n% {+ m$ s  1. The x-coordinate of P The y- coordinate of P1 X  z0 Q. F, G0 n& u
  2. 1
. x+ b. s4 X: `9 A  3.The square is inscribed in the circle., y% c9 p7 d3 U9 e6 C* Y
  4. The length of a diagonal The length of a diameter' `" x3 U1 E0 L1 D( V9 |7 l
  of the square of the circle7 j2 q- @% \4 G4 }! p
  x
# b* ]- C# ~1 c/ x* i7 N$ [0 M5 h) ]2 S  5. x y 35; N- ]& K1 W/ X& W* t
  In college M the average (arithmetic mean) number of( Z( O) Q4 b$ h; w/ q9 v7 r6 }
  students per course is 30 and the ratio of the number
  S. o- s6 w: n8 y3 {% e% R  of students to the number of faculty is 20 to 1.
/ K6 q; S, O9 o7 R# M  6. The total number 6005 o0 X5 H6 Z5 k/ [
  of students in
0 i, U; e! g& ^/ [  College M" E; m( o+ r) k% z. Q0 R6 F/ g
  x > 0, G( M5 w6 a  D
  7.
* h9 x  V0 u; y  8. x 802 R' Q. g, f( z' c0 h, G
  Integer n will be randomly selected from the
0 G& ]) ]* J: V$ M  p  integers 1 to 13, inclusive.
9 S( E2 Y8 S; g8 j6 `5 r  9. The probability that The probability that& t0 }0 X. v& N) b. V/ K% v
  n will be even n will be odd; Q) B9 q9 `' k. {" D2 ?
  p q = 1
9 E- m$ \+ J* A6 O- I: C' G1 E5 r  0 < p < q
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 楼主| 发表于 2012-8-15 12:40:44 | 显示全部楼层

GRE留学外语考试试题(一)

</p>  10. 1* m6 L4 H& N( ~$ `% k
  2x 3y = 29$ v& c" c7 K! }  T0 f. P& s( ?' b
  3x 4y = 415 g2 y; E- r9 ~1 m
  11. x y 12! D! f4 O" g: L, l6 v! W) F0 W
  PQ = OQ = 5
* s- `: _) x1 p; {7 T+ r6 z8 h  12. The area of region OPQ 10* F9 D1 f8 {# R& z: f6 j
  13. 20( _) c9 T8 Z- ^
   =
2 Y3 U1 E$ z, Z! @' }  n, r, s, and t are positive integers.
8 l$ _: B9 J: O& K+ h  14. 2n r 2s t. u% l1 ~* ]* o7 W! ]/ [6 x+ M
  In the xy-coordinate system, the point (x, y) lies on the circle with equation x y = 1
, L0 I) v+ z: R; G  15. x y 1.01- k$ l! Z& M+ b! t% [: V
  16. A health food store prepares a breakfast food that
* i) `3 Q: \8 ?2 H- s  consists of oats, raisins, and nuts mixed in the ratio9 s7 q! g9 u" t% n( K6 Z
  9:2:1, respectively, by weight. If the nuts in the
5 x) f. r/ k0 Z0 b, l* M# [  mixture weigh 9.2 pounds, how many pounds does 5 ^4 b9 w7 X5 z) V" _& X
  17. 3 - 2 =' l$ j( {" h. \) ?/ o8 @5 e
  (A) -30
2 P: V& q8 q6 k5 n' |- w7 x* ?  (B) -10& {) \0 C, W5 x* [4 S! Q( f5 W! ?
  (C) 239 w3 Y" P# e7 g4 G* ^) @
  (D) 63
3 r% K; i& t/ M% v% y# I! [4 A  (E) 77
; C* C: B3 L) L  18. For every positive integer n greater than 1, n! Is
; I7 q+ X7 c& T. \( H. k  defined as the product of the first n positive integers,1 L% `2 L; v3 }4 v6 V
  For example, 4! = (1) (2) (3) (4) = 24. What is the
8 U8 U, ^+ c1 S: ?. X' D# C- ~  value of ?
' V9 e2 w+ ~' M! u" ]  (A) 2
9 Z) D+ O: b8 i+ h: ?  (B) 66* Y% U7 e9 j, d9 \
  (C) 121
7 X. }7 q; V1 J  (D) 1329 h  U( Q1 ^/ j& a! n
; _* o2 Y# s( `# o
  (E) 144
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 楼主| 发表于 2012-8-15 12:40:45 | 显示全部楼层

GRE留学外语考试试题(一)

</p>  19. A market survey showed that 76 percent of the
$ ^/ Y( t! C9 |$ w. }! [  visitors at a certain resort came from Pacific or; y1 P0 @6 h1 O) w2 E& G5 c: G8 t
  southwestern states. Of these, were from4 v9 R6 P0 n5 c! f0 w: f
  California, and 87 percent of the Californians were6 }9 v! D) Q. c& T+ p; f3 r
  from southern California. Approximately what percent; X7 z) F- ^  G# F, U0 b! o: _
  of the visitors at the resort were from southern
& L% m% x- E$ t1 ]% {  California?
3 B. [9 l. ^3 |3 o6 p6 {  (A) 40%
( Z$ e; f. M4 I  (B) 45%6 ]/ G, N8 p0 S: z: L5 I' P
  (C) 50%/ @+ q& w+ ?  _, z! n; F
  (D) 55%9 y. ]4 P. ]8 j- n: T
  (E) 65%
  p+ f& r' }0 j6 @1 C( M* C. A  v  20 If is an integer an n is an integer, then n
' @0 l5 p) g; I; x! j4 ?/ K6 I  could be each of the following EXCEPT2 `( r/ i2 N) D6 I6 l
  (A) 4
  d  `2 L+ N9 l0 |4 K% f( E0 O  (B) 6
; ?/ @  W& n  ?7 h  (C) 135 S/ m! |+ v8 D1 @: j: N* M
  (D) 25
4 P# u2 G/ Z3 D  (E) 26
" V% R3 W1 A5 k  Questions 21-22 refer to the following table.( ~- e7 t  z' q+ Z9 `4 w
  21. What is the ration of the amount budgeted* @$ ?0 j9 c, {
  annually for food to the amount budgeted annually, X9 ]$ C& T* f$ F' |; U
  for savings?
; v& m. T6 }0 y  M( T0 w  (A) 4 to 3/ K: H$ @& P9 ]5 v/ s3 j! [9 o
  (B) 4 to 7
. a; d6 D( C3 i% t5 q: B  (C) 5 to 3
. j4 g- e$ ~* _3 H  (D) 7 to 3
. H$ C, b+ f' ]# x  (E) 7 to 43 _; L5 A& W9 N6 R, P
  22. If a pie graph (such as the one above) were drawn
* k; E4 h3 p4 A6 N. Q4 }1 G# u  to scale to represent the budges distribution into the7 N- R. S% r+ q3 e0 s! g, \( ?+ _
  five categories, what would be the measure of the/ f, e- D! X" z; o3 J
  central angle of the sector represe
$ O6 h4 R6 b$ {( F9 g Questions 23-25 refer to the following graphs.6 ~! ]# u6 c' i$ Z$ O
  23. The funds distributed in 1992 for youth
% l- y; V4 K# [- \  development were approximately4 B' B: K* F2 l: K
  (A) $38,000
0 ]4 e  X3 h; ^  (B) $170,000
( r6 o3 _8 c" {- {$ l6 _  (C) $380,000
4 Y% y  j: O" }2 f" O  (D) $450,000
/ l' `: e' O# z7 @) k  (E) $1,700,0008 ]9 g) v5 X9 t. w
  24. The increase in the amount of money distributed+ ?  w6 u; N  v8 {; K
  for family support from 1992 to 1993 was closest to2 ]& H3 |* ~- [; s
  which of the following?+ ^; I2 P9 T  ~" |9 W/ U' ^) ~, e
  (A) $0
' X  R+ v$ ^5 Z9 g7 H  (B) $24,000: [. c) q" U% \2 t" a
  (C) $40,000, R) b2 K2 k! w! _8 b* Z
  (D) $60,000
7 o" u. e* [$ r) t4 t: Z% i, i  (E) $94,000
' P* ^' D( j+ l" N, b  25. If all of the emergency assistance funds in 1993- a6 S* m! |8 E/ H: E7 j) g
  were distributed among 40 groups, which of the% \: E6 P1 `% k1 P" R
  following is closest to the average (arithmetic mean)6 B5 Q# K" M4 ~+ M: c) C, d
  amount distributed per group?' B  n+ ]8 }* \: h
  (A) $10,000
* K' O$ k, X% f2 M& O; j  (B) $11,000
' _& l' S4 c& V0 {0 n5 m  (C) $12,000% U4 l3 x  H- s* F$ \, X
  (D) $13,000& v8 d7 Y$ \- b$ e* [
  (E) $14,000
0 n' e4 ^) e& ^1 j: y! F8 }  26. The curve above consists of three semicircles: AB,
' g! r. i. W7 O5 h  BC, and CD. The diameter of AB is 2, the diameter of, N" `- c% m! d$ W* N( O# o  ]6 B' Z
  BC is twice the diameter of AB, and the diameter of# ?# {& E  M( z* n
  CD is twice the diameter of BC. What is the total1 i1 g9 f9 E/ Q4 E* b
  length of the curve?
5 u5 u% ?$ i1 X7 g) z% g  (A) 2  P2 H# t+ T( a! \
  (B) 43 ~" l. i  ^! H7 F
  (C) 6/ \- V: ?1 t6 q
  (D) 74 w) k, s7 b( u9 u) w
  (E) 81 }: i' ]1 v" I* W7 s* Q
  27. What is the cost, in cents, of using a certain fax& s" X# c/ s" n5 t
  machine to send n pages of a report if the total cost  a/ x$ b0 A5 A6 v8 [. \5 R6 Y0 O
  for sending the first k pagers is r cents and the cost
# W0 ~9 l' L3 `2 l  for sending each additional page is s cents?
+ N7 y! G/ K) c" i5 U  (Assume that n > k.)
7 `8 f, d" N2 S3 `# p0 N) Z  (A) r s (n - k)5 \; ?' \* y4 R+ o" o4 Y
  (B) r s (n k)/ a2 Q' V8 {+ ~0 _6 y2 k
  (C) rs(n k)
# x- p3 g$ W6 K  (D) kr
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