1. If \(\)2x=3y=4z=20\(\), then \(\)12xyz=\(\)

A \(\)16,000\(\)

B \(\)8,000\(\)

C \(\)4,000\(\)

D \(\)800\(\)

E \(\)10\(\)

2. \(\)0<x<y<1\(\)

Quantity A |
Quantity B |

\(\)1-y\(\) | \(\)y-x\(\) |

3. \(\)st=\sqrt { 10 }\(\)

Quantity A |
Quantity B |

\(\){ s }^{ 2 }\(\) | \(\){ t }^{ 2 }\(\) |

4. \(\)x <1\(\)

\(\)x\(\)≠\(\)0\(\)

Quantity A |
Quantity B |

\(\){ x }^{ 2 }+1\(\) | \(\){ x }^{ 3 }+1\(\) |

5. If \(\)\frac{ 2y-3 }{ y }=\frac{ 3-y }{ 2 }\(\) which of the following could be the value of \(\)y\(\) ?

(A) \(\)4\(\)

(B) \(\)1\(\)

(C) \(\)-1\(\)

(D) \(\)-3\(\)

(E) \(\)-5\(\)

6. \(\)2u+v=14\(\)

\(\)uv=0\(\)

Quantity A |
Quantity B |

\(\)u\(\) | \(\)v\(\) |

7. A system of equations is as shown below

\(\)x + l = 6\(\)

\(\)x-m = 5\(\)

\(\)x+p = 4\(\)

\(\)x-q = 3\(\)

What is the value of \(\)l + m + p + q\(\) ?

(A) \(\)2\(\)

(B) \(\)3\(\)

(C) \(\)4\(\)

(D) \(\)5\(\)

(E) \(\)6\(\)

8. If \(\)x + y = 750\(\), then which one of the following additional details will determine the value of \(\)x\(\) ?

(A) \(\)x + 2y = d\(\)

(B) \(\)2x + 4y = 2d\(\)

(C) \(\)2x + 2y = 1500\(\)

(D) \(\)3x = 2250-3y\(\)

(E) \(\)2x + y = 15\(\)

9.

Quantity A |
Quantity B |

The average of three numbers if the greatest is \(\)20\(\) | The average of three numbers if the greatest is \(\)2\(\) |

10. \(\)y > 0\(\)

Quantity A |
Quantity B |

\(\){ y }^{ 3 }+{ y }^{ 4 }\(\) | \(\){ y }^{ 4 }-2{ y }^{ 2 }\(\) |

11. If \(\)a\(\) and \(\)b\(\) are positive integers, and \(\)x = 2*3*7*a\(\), and \(\)y = 2*2*8*b\(\), and the values of both \(\)x\(\) and \(\)y\(\) lie between \(\)120\(\) and \(\)130\(\) (not including the two), then \(\)a-b =\(\)

(A) \(\)-2\(\)

(B) \(\)-1\(\)

(C) \(\)0\(\)

(D) \(\)1\(\)

(E) \(\)2\(\)

12. What is the maximum value of m such that \(\){ 7 }^{ m }\(\) divides into \(\)14\(\)! evenly?

(A) \(\)1\(\)

(B) \(\)2\(\)

(C) \(\)3\(\)

(D) \(\)4\(\)

(E) \(\)5\(\)

13. How many positive integers less than \(\)500\(\) can be formed using the numbers \(\)1, 2, 3\(\), and \(\)5\(\) for the digits?

(A) \(\)48\(\)

(B) \(\)52\(\)

(C) \(\)66\(\)

(D) \(\)68\(\)

(E) \(\)84\(\)

14. If \(\){ x+3 }^{ 2 }=225\(\), which of the following could be the value of \(\)x – 1\(\)?

(A) \(\)13\(\)

(B) \(\)12\(\)

(C) \(\)-12\(\)

(D) \(\)-16\(\)

(E) \(\)-19\(\)

15. \(\)1200x + 6000 = 13200\(\)

\(\)12y + 60 = 132\(\)

Quantity A |
Quantity B |

\(\)x\(\) | \(\)y\(\) |

##### 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