# 20
1. There is a computer that takes 58 seconds to
save 2 megabytes. How long will it take to save
420 megabytes to 1.44 megabyte floppy disk?
(A) 472
(B) 679
(C) 1,480
(D) 7,362
(E) 12,180
2. When x = 3, which of the following is the
greatest value?
𝑥2
(A) 𝑥−7
3
(B) 𝑥+1
2
(C) 𝑥−1
1
(D) 𝑥
𝑥+1
(E) 𝑥−2
3. When (x – 2)3 = 10, what is the value of x?
(A) 2.82
(B) 3.34
(C) 4.15
(D) 5.17
(E) 6.47
4. From 3k + 1, k is an integer and 3k + 1 is a
prime number. Which of the following is the
counterexample of k?
(A) 2
(B) 4
(C) 6
(D) 8
(E) 10
1
,# 20
5. If f(g(x)) = 4x + 1 and g(x) = 2x – 1, then f(x) =
(A) 8𝑥 − 3
(B) 8𝑥 − 4
1
(C) 2 𝑥 − 1
(D) 2𝑥 + 3
(E) 2𝑥 + 1
6. What is the sum of arithmetic sequence
2+6+10+14+18+22?
(A) 36
(B) 48
(C) 52
(D) 64
(E) 72
7. The relation between the height and the length
of the radius of a pine tree in a certain region is
like the following. When the height of this pine
tree is h and the length of a radius is l,
h = 25(1.50)k, l = 𝜋k2(h – 52). When k = 1.87,
what is l, the length of the radius of this pine tree?
(A) 12
(B) 15
(C) 17
(D) 22
(E) 29
8. x is a real number in (x – 2)(x2 + 4) = 0. Then,
what is the value of (x – 1)(x2 + 4)?
(A) 1
(B) 2
(C) 4
(D) 8
(E) 16
2
, # 20
9. How many positive three-digit integers are not
divisible 3?
(A) 214
(B) 300
(C) 548
(D) 600
(E) 782
(𝑥−1)(𝑥+1)(𝑥+2)
10. 𝑓(𝑥) = . Which of the
(𝑥−1)
following is true?
(A) f(x) is discontinuous at x = –2
(B) f(x) is discontinuous at x = –1
(C) f(x) is discontinuous at x = 1
(D) f(x) is discontinuous at x = 0
(E) f(x) is continuous for all real numbers
1 1 1
11. 𝑘 + 3𝑘 = 12. Then what is the value of k?
(A) 1
(B) 2
(C) 6
(D) 12
(E) 16
3
1. There is a computer that takes 58 seconds to
save 2 megabytes. How long will it take to save
420 megabytes to 1.44 megabyte floppy disk?
(A) 472
(B) 679
(C) 1,480
(D) 7,362
(E) 12,180
2. When x = 3, which of the following is the
greatest value?
𝑥2
(A) 𝑥−7
3
(B) 𝑥+1
2
(C) 𝑥−1
1
(D) 𝑥
𝑥+1
(E) 𝑥−2
3. When (x – 2)3 = 10, what is the value of x?
(A) 2.82
(B) 3.34
(C) 4.15
(D) 5.17
(E) 6.47
4. From 3k + 1, k is an integer and 3k + 1 is a
prime number. Which of the following is the
counterexample of k?
(A) 2
(B) 4
(C) 6
(D) 8
(E) 10
1
,# 20
5. If f(g(x)) = 4x + 1 and g(x) = 2x – 1, then f(x) =
(A) 8𝑥 − 3
(B) 8𝑥 − 4
1
(C) 2 𝑥 − 1
(D) 2𝑥 + 3
(E) 2𝑥 + 1
6. What is the sum of arithmetic sequence
2+6+10+14+18+22?
(A) 36
(B) 48
(C) 52
(D) 64
(E) 72
7. The relation between the height and the length
of the radius of a pine tree in a certain region is
like the following. When the height of this pine
tree is h and the length of a radius is l,
h = 25(1.50)k, l = 𝜋k2(h – 52). When k = 1.87,
what is l, the length of the radius of this pine tree?
(A) 12
(B) 15
(C) 17
(D) 22
(E) 29
8. x is a real number in (x – 2)(x2 + 4) = 0. Then,
what is the value of (x – 1)(x2 + 4)?
(A) 1
(B) 2
(C) 4
(D) 8
(E) 16
2
, # 20
9. How many positive three-digit integers are not
divisible 3?
(A) 214
(B) 300
(C) 548
(D) 600
(E) 782
(𝑥−1)(𝑥+1)(𝑥+2)
10. 𝑓(𝑥) = . Which of the
(𝑥−1)
following is true?
(A) f(x) is discontinuous at x = –2
(B) f(x) is discontinuous at x = –1
(C) f(x) is discontinuous at x = 1
(D) f(x) is discontinuous at x = 0
(E) f(x) is continuous for all real numbers
1 1 1
11. 𝑘 + 3𝑘 = 12. Then what is the value of k?
(A) 1
(B) 2
(C) 6
(D) 12
(E) 16
3
