1. Given that m and n are real numbers, let f (n, m) = mn and let g (n) = n² + 2, then f [3, g (3)]?

a. 3 n ² + 2b. 3 n² + 6c. 27d. 33

2. If n⁵ is odd, which of the following statements is false?

a. n² + 2n is evenb. 2 n² + n is oddc. n² is oddd. n is odd

3. If x is less than y, which of the following numbers is greater than x and less than y?

a.x+ y2

b. x – yc. y² - x²d. xy

4. If a + b > 5 and a – b > 3, then which of the following gives all possible values of and only possible values of a?

a. A > 3b. A > 4c. A < 5d. A < 3

5. The sum of 5 consecutive integers is 45. How many of the five consecutive integers are prime numbers?

a. 1b. 2c. 3d. 4

6. Juan weighs twice as much as Maria. Maria’s weight is 60% of Bobby’s weight. Daveson weighs 50% of Lito’s weight. Lito’s weight is 190% of Juan’s weight. Which of the 5 persons weigh the least?

a. Maria

b. Juanc. Litod. Daveson

7. If a + b + c + d = 12 and a is less than 6, then at least k of the numbers a, b, c and d must be positive where k is

a. 0b. 1c. 2d. 3

8. If the radius of a sphere is increased by a factor of 3, then the volume of the sphere is increased by a factor of ______.

a. 1b. 3c. 9d. 27

9. If two sides of a right triangle adjacent to the right angle have lengths x – 1 and 2

√ x, then the length of the side of the triangle opposite the right angle ____.

a. 4√ xb. x² + 2xc. x + 1d. x – 1

10. If it takes 12 workers working independently 3 hours to make 500 boxes, how many minutes should it take for 16 workers to make 300 boxes?

a. 60b. 72c. 81d. 90

11. A rectangular piece of metal which is 10 inches long and 5 inches wide is rolled into a tube of height 10 inches. If the tube is placed on a flat table, what will be the volume (in cubic inches) of the resulting cylinder? (The volume of a cylinder of radius r and height h is π r ²h¿

a.1252π

b. 50

c. 125 πd. 250 π

12. Joan started to work 2 years ago. Her starting salary was ½ of Mike’s salary at that time. Each year since then Joan has received a raise of 5% in her salary and Mike has received a raise of 10% in his salary. What percentage (to the nearest percent) of Mike’s current salary is Joan’s current salary?

a. 46%b. 220%c. 50%d. 200%

13. If A is an odd integer and B is an even integer, which of the following statements (are) always true?

I. A + B is oddII. AB is oddIII. 2 A + B is even

a. I onlyb. II onlyc. III onlyd. I and III only

14. Which of the following integers has the most number of divisors?

a. 77b. 88c. 99d. 111

15. The vertices of triangle ABC are as follows: A (2, 3), B (8, 3), and C (6, 7). Median

BM→

is drawn. The coordinates of point M are

a. (5, 4)b. (4, 5)c. (6, 4.5)d. (4, 6)

16. If ¿ is defined as the greatest integer less than or equal to x. find p if ¿ = 1 and p= 1

p−¿¿

a.1+√52

b.1−√52

c. 1.5d. - 1.5

Answers

1. D

2. A

3. A

4. B

5. B

6. A

7. B

8. D

9. C

10. C

11. A

12. A

13. D

14. B

15. B

16. A

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