Second Quarterly Examination in General Mathematics Reviewer - Final

Sybilla inherited Php 3,575,000 from her parents and wanted to invest her money for the next 20 years. Bank A is offering 4% compounded semi-annually while Bank B is offering 3.5% compounded monthly, in which bank should she invest? A. B. C. D. 2. Which of the following situations is an exam...

Sybilla inherited Php 3,575,000 from her parents and wanted to invest her money for the next 20 years. Bank A is offering 4% compounded semi-annually while Bank B is offering 3.5% compounded monthly, in which bank should she invest? A. B. C. D. 2. Which of the following situations is an example of a simple annuity? 3. Monthly payment of the future value of Php 50,000.00 for 1 year with an interest rate of 10% compounded quarterly. What type of annuity is illustrated in the given statement? 4. Daily payments of Php 20.00 for 30 days with interest rate of 20% compounded daily for 1 month. What is the future value of the given problem? A. Php 551.78 C. Php 771.78 B. Php 661.78 D. Php 881.78 5. **Quarterly payment of Php 15,000.00 for 10 years with interest rate of 8% compounded quarterly. What is the present value of the given problem?** **A. Php 410,000.00 C. Php 410,332.19** **B. Php 410,232.00 D. Php 410,442.19** 6. **Annual payments of Php 12,500.00 with an interest rate of 10.5% compounded semi-annually for 6 years. What is the future value of the given problem?** **A. Php 88,452.04 C. Php 90,652.06** **B. Php 89,642.03 D. Php 98,352.04** 7. **Jonald started to deposit Php 18,000.00 semi-annually in a fund that pays 5% compounded semi-annually. How much will be in the fund after 10 years?** **A. Php 459,803.80 C. Php 479,903.90** **B. Php 469,703.80 D. Php 489,803.90** 8. **The buyer of a lot pays Php 10,000.00 every month for 10 years. If money is 8% compounded annually, how much is the cash value of a lot?** **A.** **Php 634,325.22 [C. Php 834,325.22]** **B. Php 734,325.22 D. Php 934,325.22** 9. **Jim purchased a new car for Php 99,000.00 down payment and Php 15,000.00 every month. If the payments are based on 7% compounded quarterly, what is the total cash price of his car?** **A. Php 847,260.30 C. Php 867,360.40** **B. Php 857,260.30 D. Php 887,560.40** 10. Which of the following statements illustrate a bond? A. Higher risks but with possibility of higher returns. B. Appropriate for long term investment (10 years or more). C. A form of equity financing or raising money by allowing investors to be part owners of the company. D. It can be appropriate for retirees (because of the guaranteed 11. **Which of the following statements is true about compound proposition?** A. **It cannot be broken down any further into other component propositions.** B. **It is made up of component propositions joined by logical connector/s.** C. **It is an imperative sentence.** D. **It is neither true nor false.** 12. **What are the truth values of the propositions p and q for the conjunction p ∧ q to be true?** A. **Both are False C. p is true and q is false** B. **Both are True D. Cannot be determined** 13. **Let *p* represent the proposition "Daphne can dance." and *q* represent the proposition "Simon plays the piano." Express the propositions in symbol using a conjunction operator.** A. [*p* ∨ *q*]{.math.inline} **B.** [p  ∧  q]{.math.inline} **C.** [ ∼ *p*  ∨  q]{.math.inline} **D.** [p  ∧  ∼ *q*]{.math.inline} 14. **Given the following propositions,** ***p: Antonio Luna likes Nelly Boustead.*** ***q: Jose Rizal challenges Antonio Luna to a duel.*** ***Express the proposition "If Antonio Luna likes Nelly Boustead, then Jose Rizal challenges Antonio Luna to a duel.", in symbols.*** A. [*p* ∨ *q*]{.math.inline} **C.** [*p* → *q*]{.math.inline} B. [*p* ∨  ∼ *q*]{.math.inline} **D.** [*p* ∧  ∼ *q*]{.math.inline} 15. **Let *p* be the proposition "You are proud of Manuel L. Quezon.", and *q* be the proposition "You must take pride in being a Filipino." Express the proposition** [*p* ∨  ∼ *q*]{.math.inline} **in English sentence.** A. **You are proud of Manuel L. Quezon and you take pride in being a Filipino.** B. **You are proud of Manuel L. Quezon or you take pride in being a Filipino.** C. **You are proud of Manuel L. Quezon and you do not take pride in being a Filipino.** D. **You are proud of Manuel L. Quezon or you do not take pride in being a Filipino.** 16. **Given the following propositions,** ***p: Antonio Luna likes Nelly Boustead.*** ***q: Jose Rizal challenges Antonio Luna to a duel.*** ***r: Juan Luna painted the famous Spolarium.*** ***Express the proposition "Juan Luna painted the Spolarium and Antonio Luna likes Nelly Boustead, or Jose Rizal did not challenged Antonio Luna to a duel."*** A. [(*p*∧∼*q*) ∨  ∼ *r*]{.math.inline} C. [(*p*∧*q*) ∨  ∼ *r*]{.math.inline} B. [(*p*∨∼*q*) ∧  ∼ *r*]{.math.inline} D. [(*p*∨*q*) ∧  ∼ *r*]{.math.inline} 17. **Determine the truth value of** [*p* ∧  ∼ *q*]{.math.inline}**. Identify the logical operator used.** ***p: All mammals are warm-blooded.*** ***q: All cats are mammals.*** A. **True, Disjunction C. False, Disjunction** B. **True, Conjunction D. False, Disjunction** 18. **If Jinn goes to church, then Jannie will go to the mall. If Jannie goes to the mall, then Jun will go to the school. If Jinn goes to church, which of the following statements must be true?** I. **Jannie goes to the mall.** II. **Jun goes to school.** III. **Jun will not go to school.** A. **I only C. I and II only** B. **III only D. I and III only** **FOR ITEM NUMBER 39-40: Refer to the conditional proposition, "If you are proud of Manuel L. Quezon, then you must take pride in being a Filipino".** 19. **What type of conditionals is being depicted by the conditional statement, "If you take pride in being a Filipino, then you are proud of Manuel L. Quezon"?** A. **Converse C. Inverse** B. **Contrapositive D. Equivalence** 20. **What type of conditionals is being depicted by the conditional statement, "If you are not proud of Manuel L. Quezon, then you must not take pride in being a Filipino"?** A. **Converse C. Inverse** B. **Contrapositive D. Equivalence** 21. Allison borrowed from Taylor Php 1,000 at an annual interest rate of 10%. After a year, Allison should pay Php1,100. However, Allison failed to pay. At the end of another year, Taylor asks for Php 1,200.00. What type of interest is illustrated in the situation? A. Structured C. Complicated B. Simple D. Compound 22. A. Structured C. Complicated B. Simple D. Compound 23. Which interest is computed on the principal and also on the accumulated past interests? A. Annuity Due C. Ordinary Annuity B. Compound D. Simple 24. Given the future value of a certain amount deposited in a bank, how will you compute for its compound interest? A. B. C. D. 25. What is the formula in getting the Maturity Value of a simple interest? 26. Find the maturity value of a Php 50,000.00 loan borrowed at 9% compounded annually for 2 years. A. Php 50,090.00 C. Php 59,900.00 27. When invested at annual interest rate of 7%, the amount earned P11,200 of simple interest in two years. How much money was originally invested? A. Php 800.00 C. Php 80,000.00 B. Php 8,000.00 D. Php 800,000.00 28. A man took a loan from a bank at the rate of 12% simple interest. After 3 years he had to pay Php 5,400.00 interest only for the period. What is the principal amount that he borrowed? A. Php 2,000.00 C. Php 15,000.00 B. Php 10,000.00 D. Php 20,000.00 29. If the simple interest on a sum of money at 5% per annum for 3 years is Php1, 200.00, then what is the compound interest on the same sum for the same period at the same rate? A. Php 1,225.00 C. Php 1,248.00 B. Php 1,236.00 D. Php 1,261. 00 30. Joy invested Php10,000.00 to an account that pays a simple interest of 3% annually. Find the interest earned after two years. A. Php 600.00 C. Php 9,000.00 B. Php 6,000.00 D. Php 12,000.00 31. What kind of security where security prices vary every day and have some uncertainties? A. Bond C. Equity B. Debt D. Stock 32. **A food corporation declared a dividend of Php25,000,000 for its common stock. Suppose there are 180,000 shares of common stock, how much is the dividend per share?** A. **Php 138.89 C. Php 198.89** B. **Php 139.83 D. Php 189.88** 33. **A certain land developer declared a dividend per share Php 28.00 per share for the common stock. If the common stock closes at Php 99.00, how large is the stock yield ratio on this investment?** A. **28.79 % C. 28.38 %** B. **28.69 % D. 28.28 %** 34. **A Php 750,000 bond is redeemable at Php 950,000 after 5 years. Coupons are given at 5% convertible semi-annually. What is the amount of the semi-annual coupon?** A. **Php 18,750.00 C. Php 23,980.00** B. **Php 19,750.00 D. Php 24,980.00** **FOR NUMBERS 25-26: Identify what type of loan is illustrated in the given scenarios.** 35. **For his sabbatical year, Philip wants to have a vacation in Santorini with his wife Eloise. He had already saved Php 850,000 for this trip. But he wants to add more to his budget to avoid deficit, so he borrowed some money from the bank to have additional budget for their trip.** A. **Business Loan C. Collateral** B. **Consumer Loan D. Mortgage** 36. **After moving to Cornelia Street, Allison wants to open a café. She decided to borrow some money to finance her start-up business.** A. **Business Loan C. Collateral** B. **Consumer Loan D. Mortgage** 37. **All of the following statements are true about consumer loan EXCEPT:** A. **The bank or the lending institution requires a credit report, bank statements, and an income tax return.** B. **The interest rate for the consumer loan is usually higher than that of business loan.** C. **The term of the business loan is generally shorter than the consumer loan.** D. **Consumer loan does not usually require a guarantor.** 38. **Which of the following is the symbol for the logical connector "or"?** A. [∧]{.math.inline} **B.** [∨]{.math.inline} **C.** [∼]{.math.inline} **D.** [→]{.math.inline} 39. **Which of the following is NOT a proposition?** A. **Smile at your seatmate.** B. **Jose Rizal is our national hero.** C. **If an integer is even, then its square is also even.** D. **Ferdinand Magellan did not arrive in the Philippines in 1521.** 40. **Let *p* the proposition "Feliza is an academic achiever in senior high school." What is** [ ∼ *p*]{.math.inline}**?** A. **Feliza is an academic achiever in senior high school.** B. **Feliza is an academic achiever in junior high school.** C. **Feliza is not an academic achiever in senior high school.** D. **Feliza is not an academic achiever in junior high school.**