Gen Math Practice Test PDF

1. Madam Auring plans to borrow money from the bank to fund her son’s college education. If you were Madam Auring, which type of loan would you choose to apply for? A. Business loan B. Consumer loan C. Salary loan D. Time deposit 2. Imagine you own a small business a...

1. Madam Auring plans to borrow money from the bank to fund her son’s college education. If you were Madam Auring, which type of loan would you choose to apply for? A. Business loan B. Consumer loan C. Salary loan D. Time deposit 2. Imagine you own a small business and want to expand by opening another branch. What type of loan would you most likely apply for? A. Business loan B. Personal loan C. Educational loan D. Housing loan 3. You are tasked with identifying simple propositions in a series of logical statements. Which of the following would you classify as a simple proposition? A. The daughter of Mrs. Ramirez is small but is an honor student. B. The SHS students are tall, while JHS students are not. C. 2 is an even number, but 1 is an odd number. D. The color of the room is brown. 4. While analyzing statements for a logic class, you need to identify compound propositions. Which of the following is an example of a compound proposition? A. If Darna can fly and save lives, then she is a Filipino superhero. B. Darna Falls is located in Dumalneg, and it has cool and crystal-clear water. C. Alchemy of Souls is a Korean drama if and only if it is a drama produced by Koreans. D. All of the above. 5. Rewrite the statement below into its converse form: “If people work with unity, then anything can be achieved.” A. If people will not work together, then nothing can be achieved. B. If anything is achieved, then the people worked with unity. C. If nothing is achieved, then the people worked with unity. D. If people worked with unity, then nothing is achieved. 6. If you would like to invest money, which bank offer would you prefer when you do not plan to withdraw your money in 2 years? A. 5% simple interest per annum. B. 2% compounded interest quarterly. C. 4% compounded interest per annum. D. 3% compounded interest semi-annually. 7. Analyze the given statement, “Royeth is taking care of his younger brother.” Which of the options accurately represents its negation, considering that negation involves the denial of the original statement? A. Royeth is always taking care of his younger brother. B. Royeth loves to take care of his younger brother. C. Royeth is not taking care of his younger brother. D. None of the given choices. 8. Under what condition is the conjunction true? A. When both p and q are true. B. When p is true, and q is false. C. When p is false, and q is true. D. When both p and q are false. 9. Based on the table below, which two propositions show equivalence? p q p→q ~p (~p) v q T T T F T T F F F F F T T T T F F T T T A. p and q B. q and (~p) v q C. ~p and p→q D. p→q and (~p) v q 10.Analyze the logical structure of the statement: “If it did not flood yesterday, then the streets are dry today.” Which of the options below correctly represents its contrapositive, keeping in mind the logical reversal and negation involved in forming a contrapositive? A. If the streets are wet today, then it was flooded yesterday. B. If the streets are dry today, then it did not flood yesterday. C. If the streets are flooded yesterday, then they are wet today. D. If the streets are not flooded yesterday, then they must be dry today. 11.Mrs. Mariano wants to calculate the present value of her monthly deposit of ₱3,000 at an interest rate of 9% compounded monthly, over 6 months. Evaluate the options below and determine which one accurately represents the present value of her savings. Justify your choice. A. ₱17,536.79 B. ₱2,933.50 C. ₱5.84559733 D. ₱2,868.474 12.People take out loans for various reasons. Based on the purposes listed below, evaluate which reasons are the most valid and provide justification for why loans are often used for these purposes. A. To pay for college education C. To pay debts B. To start a new business D. All of the above 13. Which symbolic form of best illustrates this statement: “It is not the case that Czam can play the guitar or Schiarligne can play a violin.” A. p v q B. p ^ ~q C. ~(p v q) D. ~(p ^ q) 14. If a proposition is true, then its true value is true which is denoted by “T”; otherwise, its true value is false denoted by “F”. Which of the following statements has a true (T) value? A. 2 + 2 = 5 B. 2 + x = 10 C. 10x + 5 = 15 D. 2 + 2=4 15. Using the De Morgan’s law, which of the following is equivalent to ~ (p v q)? A. ~p B. ~q C. ~(p^q) D. (~p)^(~q) 16. Roland and Marlex are planning to have their wedding. A part of their plan is for them to have at least ₱50,000 in 7 years. What is the present value of ₱50,000 due in 7 yrs if money is worth 10% compounded annually? A. ₱ 25, 657.91 B. ₱ 25 C. ₱2,000 D. ₱5,000 17. How do we write the truth table of the compound proposition (p^q) v q? A. C. p q p ^ q (p ^ q) v q T T T T T F F F F T F T F F F F  p q p → q (p ^ q) → q T T T T T F F T B. F T T T D. p q p^q (p ^ q) v F F T T q T T F F p q ~q p^q (p ^ q) v q T F T T T T F T T F T T F T F T F T F F T T F T F F F 18. How can we write the truth value of the F F T F T proposition ~(p ^ q) v ~(p → q)? A. p q p ^ q ~(p ^ q) p →q ~( p →q) ~(p ^ q) v ~( p →q) T T T F T F F T F F T F T T F T F T T F T F F F T T F T B. p q p^q ~(p ^ q) p →q ~( p →q) ~(p ^ q) v ~( p →q) T T T F T F T T F F T F T F F T F T T F F F F F T T F F C. p q p^q ~(p ^ q) p →q ~( p →q) ~(p ^ q) v ~( p →q) T T T F T T T T F F T F T T F T F T T T T F F F T T T T D.  p q p^q ~(p ^ q) p →q ~( p →q) ~(p ^ q) v ~( p →q) T T T F T T F T F F T F T F F T F T T T F F F F T T T F 19. How can we show that p →q is equivalent to p ^ ~q? A. ~( p →q) B. ~(p →q) C. ~(p →q) D. ~(p →q) ~{(~p) v q} ~{(p) v q} ~{(p) v q} ~{(p) v q} ~(~p) ^ (~q) ~(p) ^ (~q) ~(~p) ^ (~q) ~(p) ^ (q) p ^ (~q) p ^ (~q) p ^ (~q) p ^ (~q) 20. If you are going to prove the equivalence of p →q and ~q → ~p, how are you going to construct your table? A. p q ~p ~q p →q ~q → ~p F T T F F F F F T T F F T T F F T T T F F T T T B. p q ~p ~q p →q ~q → ~p T T F F T T T F F T F F F T T F T T F F T T T T C. p q ~p ~q p →q ~q → ~p T T F F F F T F F T T T F T T F T T  F F T T T T D. p q ~p ~q p →q ~q → ~p F T F F T T F F F T T T T T T F T T T F T T T T