[計量] 好多題計量請教
1. A rectangular solid has a volume of 30, and its edges have integer lengths.
What is the greatest possible surface area of this solid?
(A) 82
(B) 86
(C) 94
(D) 122
(E) 180 ANS:(D) 我算1.3.10表面積94
2. Which of the following is the second power of sqrt(1+√1)
(A) 1
(B) √2
(C) 2
(D) 4
(E) 1+√2 ANS:(C) 我算1+√1
3. In the xy-plane, line l passes through the origin and is perpendicular to
the line 4x + y = k, where k is a constant. If the two lines intersect at
the same point (t, t+1), what is the value of t?
(A) 4/3
(B) 5/4
(C) 3/4
(D) -5/4
(E) -4/3 ANS:(E)
4. A bag contains red gloves, black gloves, ans white ones. What is the LEAST
number of gloves that must be taken out of the bag to be sure of having
4 pairs of gloves?
(A) 6
(B) 8
(C) 9
(D) 10
(E) 12 ANS:(D) 原本有幾雙也不知道....
5. Each of the following numbers has one digit blotted out. Which of the
numbers CANNOT be a sum of two consecutive odd integers?
(A) 2,□24
(B) 3,□32
(C) 4,□44
(D) 5,□54
(E) 6,□68 ANS:(D) 不知道怎麼判斷
6. If p, q, r represent different positive integers, and pqr = 2009, what is
the greatest result of p + q + r?
(A) 49
(B) 55
(C) 91
(D) 295
(E) 2011 ANS:(D)
7. If two cards are drawn drom a deck without replacement, the probability
that both are aces is
(A) 1/26
(B) 7/52
(C) 16/2652
(D) 12/2652
(E) 12/103 ANS:(D) 我的式子列 (C4取2*C13取1)/C52取2
8. In the xy-plane, the coordinates of △ABC are (0,0), (4,1) and (2,4),
respectively. What is the area of △ABC?
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8 ANS:(D) 邊長有根號不知道怎麼用三邊長求面積
9. In the xy-plane, O is the center of circle with coordinate (m,4), and a
point (m,-1) is on the circle.
Column A Column B
The circumference 32
of circle O. ANS:B
10. At the corporate headquarters of a large enterprise, outside each office
there is a keyboard, on which there are two letters, A and B, and digits
from 0 to 9, inclusive. To gain entrance to an office, an employee must
punch in an access code. If a code consists of the letter A or B followed
by either 2 or 3 different digits, how many different access codes are
there?
(A) 2,200
(B) 2,000
(C) 1,620
(D) 1,560
(E) 1,440 ANS:(C) C2取1*C10取2 + C2取1*C10取3不對
今天題目比較少,一樣要麻煩大家了!
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