INSTRUCTION: MULTIPLE CHOICE. CHOOSE THE CORRECT ANSWER.

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 O 84 years O 132 years If X = (E, P, $) and Y = (0,9,], which of the following statement(s) is/are NOT true? i. The two sets are equivalent sets. ii. The two sets are equal. iii. The two sets are disjoint sets. O i only O ii only O i and iii only ii and iii onlyWhich 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 O i and ii O noneConsider the Kenken Puzzle. What should be the value of x end if? * \fWhich of the following is the inverse of f(x) = vx2 -4? f ' ( x) =Vx2 -4;x#+4 f- ( x ) =x-2 Option 1 O Option 2 f- ( x ) = x+ 2 f- ( x) =Vx+4 O Option 3 O Option 4Which of the following images goes in the missing part of the sequence?* O Option 1 O Option 2 O Option 3 O Option 4Which is a better choice in buying a washing machine worth P12,700.00? * O A. Avail of the instalment plan which requires payment of P850.00 a month for 18 months O B. Borrow from a lending company that charges 12 1/4% simple interest payable in 1 year and 6 months O C. Borrow from a lending firm offering 12% compounded quarterly payable in 1 year and 6 months O D. Borrow from a lending firm offering 12% compounded monthly payable in 1 year and 6 months 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 college 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 O 43 students O Cannot be determinedConsider the following argument: If I am either sleeping well or doing my assignments, then I will pass the GMath course. I am sleeping well but I am not doing my assignments. Hence, I will not pass the GMath course Let p = "I am sleeping well.", q = "I am doing my assignments.", and r = "I will pass the GMath course." Which of the following symbolic forms represents the hypothesis (or the conjunction of the premises) in the given argument? [(p q) - r](pv~q) ( b~A d) v le + (bad ) ] O Option 1 O Option 2 [(p q) - rin (pr~q) [(pv q) - r|(p1~q) O Option 3 O Option 4ABC acquired a new Laser Machine worth P580,000.00. The center plans to pay 40% advance payment and the balance by quarterly payments for 7 years. If money is worth 9% converted quarterly. How much must be paid quarterly?* O P16,886.79 P9,056.79 P16,515.20 P8,857.49Which of the following exhibits Invoked Organization? * i. Regal Angelfish ii. Orb web spiders iii. Helmeted Guinea fowl i only ii only O Option 1 O Option 2 iii only i, ii, and iii Option 3 Option 4For a sum of P8000.00 to double itself in 12 years and 9 months, what must be the rate of interest compounded quarterly? * O A. 4.56% O B. 5.47% C. 13.06% O D. 54%Which of the following is or are example/s of deductive reasoning? * i. A number is a neat number if the sum of the cubes of its digits equals the number. Therefore, 153 is a neat number. ii. All home improvements cost more than the estimate. 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 O i and ii only O ii and iii only i, ii, and iii Which of the following statement/s is or are correct? * i. A function is necessarily a relation. ii. A relation is possibly a function. iii. Consider the set of students who are enrolled in GMath 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. O i only O i and iii only O ii and iii only i, ii, and iiiIn 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. 1. 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 O Envelope 2 Envelope 3 Cannot be determined The union of the set of rational numbers and set of irrational numbers is: * Null Set O Set of Irrational Numbers O Set of Rational Numbers O Set of Real Numbers