1.A group of 10 students google to plan a school function. All are majoring in Math or Science or both. 5 of them are Science majors and 7 are Math majors. How many major in both subjects? * a.1 b.2 c.10 d.12 2.What property is illustrated by: * 7+4+4= 7+4)+4 a.Inverse Property of Addition b.Associative Property of Addition c.Commutative Property of Multiplication d.Commutative Property of Addition 3.How long was 30,000 invested at a bond growing at an average rate of 8.25% compounded monthly if its value at maturity is at 50,000? * a.74.56 months b.74.75 months c.75.65 months d.76.56 months 4.Some amount out of 7000.00 was lent at 6% per annum and the remaining at 4% per annum. If the total simple interest from both in 5 years was 1600.00, find the sum lent at 6% per annum. * 2000.00 3000.00 5000.00 7000.00 5. What would be the next number in the series? * 1, 2, 3, 6, 4, 5, 12, 60, 5, 6, 7, 8 10 120 210 6. Suppose that a group of 150 students have joined at least one of the chat rooms: one on auto racing, one on bicycling, and one for colleqe students For simplicity, we call these rooms A, B, and C respectively. In addition, 90 students joined room A; 50 students joined room B; 70 students joined room C; 15 students joined rooms A and C; 12 students joined rooms B and C; 10 students joined all three rooms. How many students joined both chat rooms A and B? 140 students 27 students 43 students Cannot be determined 7. What property is illustrated by: * -2.1 x1 = -2.1? Inverse Property of Multiplication Multiplication Property of -1 Identity Property of Addition Identity Property of Multiplication 8. Which of the following exhibits Invoked Organization? * Bees' Honeycomb Leopards' Spots Mineral Layers on Rocks Zebras' Stripes 9. Which of the following is correct about the truth value of a given argument? * i. It is true when the hypothesis is true and the conclusion is also true ii. It is true when any of the premises is false. in. iii. It is false when the hypothesis is true but the conclusion is false. i and ii only i and iii only i, ii, and iii 10. Bob has saved a total of 2,550,000.00 for retirement. He put the money in a mutual fund which pays 9% interest compounded monthly. How much should he withdraw each month in order to have enough money to last for 15 years? * 25,863.80 6,738.80 6,688.63 25,671.26 11. How much was initially invested if the value of the investment is at 200,000 after 3 and a half years and the investment grows by 12.5% compounded quarterly? * 129,779.3063 129,977.0363 129,979.3603 129,997.3603 12. What would be the next number in the series? * 112 111 119 92 156 31 ? 1375 287 387 247 13.Suppose p is true, q is true, r is false, s is false. Find the truth value of (sVp)^(~rV~s) True False 14. A loan is to be repaid after a term of 5 years. If the principal amount is at 215,000 and the total amount to be repaid is at 275,000, what was the corresponding interest rate if it compounded quarterly? 4.35% 4.53% 4.76% 4.95% 15.The following proposition is true: "The number of words in this sentence is nine." In logic, the opposite of a true statement should be false. Which of the following statements is a valid logical negation of the given proposition? The number of words in this sentence is at least nine. The number of words in this sentence is less than nine. The number of words in this sentence is more than nine. The number of words in this sentence is not nine. 16. What property is illustrated by: * 2 (-3) = (-3)22 Associative Property of Addition Commutative Property of Multiplication Inverse Property of Multiplication Commutative Property of Addition 17. A group of SLU Mathematics faculty members have been on vacation so lona that they've forgotten the day of the week. The following conversation ensues Mike:What's the day? I don't think it is Thursday, Friday, or Saturday. Nora:Well, that doesn't narrow it down much. Yesterday was Sunday. Jaime:Yesterday wasn't Sunday. Tomorrow is Sunday. Mark: The day after tomorrow is Saturday. Raflyn:The day before yesterday was Thursday. Zenaida: Tomorrow is Saturday. Daniel: I know that the day after tomorrow is not Friday. Who among the following SLU Mathematics faculty members has made a true statement about the day of the week? Daniel Jaime Mark Mike 18. The union of the set of rational numbers and set of irrational numbers is: * Null Set Set of Irrational Numbers Set of Rational Numbers Set of Real Numbers 19. Suppose p is false, q is false, s is true. Find the truth value of (sVp)^(gA~5) O True O False 20.Which of the following statement/s is or are correct?* i. A function is necessarily a relation. il. A relation is possibly a function. iii.Consider the set of students who are enrolled in Math course and the set of Mathematics faculty members for the first semester of the academic year 2018-2019 in Saint Louis University (SLU). Suppose we define a relation between the two sets by saying that a student corresponds to a Math faculty member if the student is currently enrolled in the said course taught by that faculty member. This relation is, at all times, a function. i only i and iii only ii and iii only i, ii, and iii 21. Which of the following statements are true about inductive reasoning? * i. All forms of inductive reasoning are based on finding a conclusion that is most likely to fit the premises and is used when making predictions, creating generalizations, and analyzing cause and effect. ii. Conclusions based on inductive reasoning are certainly true. iii.Inductive reasoning is commonly shown using a pyramid that starts at the narrow premises and expands into a wider conclusion. i and ii only i and iii only ii and iii only i, ii, and iii 22. Which of the following is or are examples of deductive reasoning? * A number is a neat number if the sum of the cubes of its digits equals the number. Therefore, 153 is a neat number. i. All home improvements cost more than the estimate. ii. The contractor estimated that my home improvement will cost $35,000. Thus my home improvement will cost more than $35,000. iii. I know I will win a jackpot on this slot machine in the next 10 tries, because it has not paid out any money during the last 45 tries. i only i and ii only i and iii only i, ii and iii 23. In the three envelopes shown, the statements on one of the three are both true, the statements on another are both false, and the remaining envelope has one statement that is true and one that is false. Which envelope contains the formula? * 1. The formula is not in here 2.The formula is in Envelope 2. The formula is not in Envelope 1. 2. The formula is in Envelope 3. 1.The formula is not in here. 2. The formula is in Envelope 2. Envelope 1 Envelope 2 Envelope 3 Cannot be determined 24. Which of the following statement/s is or are true?* i. Everything in nature is circumstantial. ii. Mathematics is embedded in Nature. i only ii only i and ii none 25.Out of the following which statement does not show the nature of Mathematics? * a.Numbers, places, measurement are base of Mathematics. b.Mathematics has its language from which formula, concept principle is derived c.In Mathematics there is scope to explain the abstract concept d.In Mathematics area of generalization is narrow 26.Suppose p is true, a is true, r is true, s is false. Find the truth value of (~Vs) V (sAr) True False 27. Which one is not related to the nature of Mathematics? * a.Exactness b.Specific sequence c.Expanded expression d.Pattern 28.What is the range of h(x) = Vx? a.All nonnegative real numbers b.All positive real numbers. c.All real numbers. d.All real numbers except zero. 29. Determine the last digit in the number 78 a.9 b.7 c.3 d.1 30.The union of the set of rational numbers and set of irrational numbers is: * a.null Set b.Set of Irrational Numbers c.Set of Rational Numbers d.Set of Real Numbers 31. p- q, which of the following statement/s is or are correct about its transformation? i. If the given conditional statement is true then its converse, q - p, may perhaps be true. ii. The inverse of a given conditional statement is the logical negation of the given conditional statement; that is, ~(p 4) =~P-~4. iii. The contrapositive, ~q - ~p, is the converse of the inverse of the given conditional statement. i and ii only i only iii only i, ii, and iii 32. Nothing is known about the personal life of the ancient Greek mathematician Diophantus except for the information in the following epigram. "Diophantus passed) of his life in childhood, ;, in youth, and; more as a bachelor. Five years after his marriage was born a son. His son lived exactly; of Diophantus life. Diophantus died 4 years after the death of his son." How long did Diophantus live? 48 years 72 years 84 years 132 years 33. An item will need replacing in 6 years from now at a cost of P128,000.00. How much should the owner save at the beginning of each 3 months in order to replace the old item, if his savings earn interest at 10% compounded quarterly? * P3,956.84 P6,982.28 P7,156.84 P3,860.33 34.Which of the following numbers is next in the given sequence of numbers: * 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, . 144 34 1.68 89