1. The sum of two numbers is 10; their product is 20. Find the sum of their reciprocals.

2. Six years ago, Jim was four times as old as Fe. In four years, he would be twice as old as Fe. How old are they now?

3. Divide 60 into two parts with the ratio 2:3.

4. Mr. Javier purchased a number of pencils for P180 and sold all except 6 at a profit of P2 per pencil. With the total amount received, he could buy 30 more items than before. Find the number of items bought and the cost of each in pesos.

5. A rectangular garden lot  16 by 24 m is to be bordered by a strip of a uniform width x so as to double the area. Find x.

6. Mrs. Altares boarded a bus bound for Baguio at exactly 4 A.M. After one and one-half hours her husband followed driving the family car at 75 mph. Assuming that the bus was traveling at an average speed of 50 mph, at what time would Mr. Altares’ car overtake the bus?

7. A man can do a certain task in 21 hours, another can do the task in 28 hours, and a boy can do the task in 48 hours. How long will it take to do the task if all worked together?

8. The sum of the squares of the digits of a certain two-digit positive integer is 20. The integer is 7 times of its digit. Find the integer.

9. How much of a 40% solution of alcohol and how much of a 80% solution should be mixed to give 40 gallons of a 50% solution?

10. A coin purse contains 5 cents, 10 cents, and 25 cents coins. The number of 10-centavo coins is three times as many 5-centavo coins, and the 25-centavo coins is two more than the 10-centavo coins. If the total value of its content is P4.90, how many of each kind of coins are in the purse?

1. Determine the relationship of the first word to the second word. From among the suggested answers choose the word that best expresses a similar relationship to the third word in CAPITAL letters.

Cartography : Maps :: Calligraphy : __________

2. Complete the  following series:

3. Determine the relationship of the first word to the second word. From among the suggested answers choose the word that best expresses a similar relationship to the third word in CAPITAL letters.

Genetics : DNA :: Language : __________

4. Complete the  following series:

5. Complete the  following series:

FAG, GAF, HAI, IAH, ____

6. From among the suggested answers choose the word that best expresses a relationship to the word in CAPITAL letters.

PERFIDIOUS : _________

7. Complete the  following series:

SCD, TEF, UGH, ____, WKL

8. Complete the following series:

9, 12, 11, 14, 13, 16, 15, __,  __

9. Complete the  following series:

10. Complete the following series:

2, 6, 18, 54, ____

11. Determine the relationship of the first word to the second word in CAPITAL letters. From among the suggested answers choose the word that best expresses a similar relationship to the third word in CAPITAL letters.

ACROBAT is to BALANCE as DIPLOMAT is to __________

12. Complete the  following series:

13. Complete the following series:

U32, V29, __, X23, Y20, . . .

14. From among the suggested answers choose the word that best expresses a relationship to the word in CAPITAL letters.

MELLIFLUOUS : _________

15. From among the suggested answers choose the word that best expresses a relationship to the word in CAPITAL letters.

SERENDIPITY : _________

16. Complete the  following series:

17. Complete the following series:

32, 29, 26, 23, 20, 17, 14, __,  __

18. From among the suggested answers choose the word that best expresses a relationship to the word in CAPITAL letters.

EPHEMERAL : _________

19. Complete the  following series:

20. Determine the relationship of the first word to the second word. From among the suggested answers choose the word that best expresses a similar relationship to the third word in CAPITAL letters.

Democracy : Freedom :: Dictatorship : __________

1. What is the trap size for ordinary slop sinks?

2. Which tool is made of boxwood, dogwood or lignum vitae, and is used for dressing or working sheet lead, lead pipe bends, and bath traps?

3. A man purchased some shares of stock for P1560. Later, when the price had gone up P24/share, he sold all but 10 of them for P1520. How many shares had he bought?

4. Plumbing Engineering was first introduced in which School or University?

5. An artificial expenses that spreads purchase price of an asset or another property over number of years.

6. Lita is 41 years old and her daughter is 9. In how many years will the mother be three times as old as her daughter?

7. What is the trap size for Water closets?

8. Why is a corporation stop required when the main water pipe is tapped with the pressure on?

9. How many set(s) of approved plumbing plan, specification and data will retain to applicant and owner?

10. Divide 67 into two parts whose product is 1120.

11. How many quarts of pure alcohol must be added to 10 quarts of 10% alcohol solution to obtain a mixture which is 25% alcohol?

12. Based on the history of plumbing practice, plumbing took a great leap at the turn of _________.

13. A pipe connecting upward from a soil and waste stack to a vent stack for the purpose of preventing pressure changes in the stack.

14. Identify the Tool marked as "A".

15. What is the approximate height above the floor level of a kitchen sink?

16. The third kind of water besides storm water and area water.

17. How many set(s) of approved plumbing plan, data and specification will retain by the Administrative Authority?

18. Identify the Tool marked as "B".

19. The ratio of the interest payment to the principal for a given unit of time and usually expressed as a percentage of the principal.

20. Grand total of the assets and operational capability of a corporation.