1. If [latex]2x=3y=4z=20[latex], then [latex]12xyz=[latex]
A [latex]16,000[latex]
B [latex]8,000[latex]
C [latex]4,000[latex]
D [latex]800[latex]
E [latex]10[latex]
2. [latex]0<x<y<1[latex]
| Quantity A | Quantity B |
| [latex]1-y[latex] | [latex]y-x[latex] |
3. [latex]st=\sqrt { 10 }[latex]
| Quantity A | Quantity B |
| [latex]{ s }^{ 2 }[latex] | [latex]{ t }^{ 2 }[latex] |
4. [latex]x <1[latex]
[latex]x[latex]≠[latex]0[latex]
| Quantity A | Quantity B |
| [latex]{ x }^{ 2 }+1[latex] | [latex]{ x }^{ 3 }+1[latex] |
5. If [latex]\frac{ 2y-3 }{ y }=\frac{ 3-y }{ 2 }[latex] which of the following could be the value of [latex]y[latex] ?
(A) [latex]4[latex]
(B) [latex]1[latex]
(C) [latex]-1[latex]
(D) [latex]-3[latex]
(E) [latex]-5[latex]
6. [latex]2u+v=14[latex]
[latex]uv=0[latex]
| Quantity A | Quantity B |
| [latex]u[latex] | [latex]v[latex] |
7. A system of equations is as shown below
[latex]x + l = 6[latex]
[latex]x-m = 5[latex]
[latex]x+p = 4[latex]
[latex]x-q = 3[latex]
What is the value of [latex]l + m + p + q[latex] ?
(A) [latex]2[latex]
(B) [latex]3[latex]
(C) [latex]4[latex]
(D) [latex]5[latex]
(E) [latex]6[latex]
8. If [latex]x + y = 750[latex], then which one of the following additional details will determine the value of [latex]x[latex] ?
(A) [latex]x + 2y = d[latex]
(B) [latex]2x + 4y = 2d[latex]
(C) [latex]2x + 2y = 1500[latex]
(D) [latex]3x = 2250-3y[latex]
(E) [latex]2x + y = 15[latex]
9.
| Quantity A | Quantity B |
| The average of three numbers if the greatest is [latex]20[latex] | The average of three numbers if the greatest is [latex]2[latex] |
10. [latex]y > 0[latex]
| Quantity A | Quantity B |
| [latex]{ y }^{ 3 }+{ y }^{ 4 }[latex] | [latex]{ y }^{ 4 }-2{ y }^{ 2 }[latex] |
11. If [latex]a[latex] and [latex]b[latex] are positive integers, and [latex]x = 2*3*7*a[latex], and [latex]y = 2*2*8*b[latex], and the values of both [latex]x[latex] and [latex]y[latex] lie between [latex]120[latex] and [latex]130[latex] (not including the two), then [latex]a-b =[latex]
(A) [latex]-2[latex]
(B) [latex]-1[latex]
(C) [latex]0[latex]
(D) [latex]1[latex]
(E) [latex]2[latex]
12. What is the maximum value of m such that [latex]{ 7 }^{ m }[latex] divides into [latex]14[latex]! evenly?
(A) [latex]1[latex]
(B) [latex]2[latex]
(C) [latex]3[latex]
(D) [latex]4[latex]
(E) [latex]5[latex]
13. How many positive integers less than [latex]500[latex] can be formed using the numbers [latex]1, 2, 3[latex], and [latex]5[latex] for the digits?
(A) [latex]48[latex]
(B) [latex]52[latex]
(C) [latex]66[latex]
(D) [latex]68[latex]
(E) [latex]84[latex]
14. If [latex]{ x+3 }^{ 2 }=225[latex], which of the following could be the value of [latex]x – 1[latex]?
(A) [latex]13[latex]
(B) [latex]12[latex]
(C) [latex]-12[latex]
(D) [latex]-16[latex]
(E) [latex]-19[latex]
15. [latex]1200x + 6000 = 13200[latex]
[latex]12y + 60 = 132[latex]
| Quantity A | Quantity B |
| [latex]x[latex] | [latex]y[latex] |
Answers:
1 C
2 D
3 C
4 A
5 D
6 D
7 A
8 E
9 D
10 A
11 B
12 A
13 D
14 E
15 C
