B.A person who works for 3 hours should receive P360 and P240 for the personwho works for 2 hours.C.The amount should be divided equally between the two persons.D.The person who works longer should receive larger amount than the personwho works shorter.12. The tens digit of a two-digit number is one more than twice the units digit. Findthe number if the sum of the digits is ten.A.64B. 73C. 82D. 9113. A diagonal of a polygon is a line segment that connects nonadjacent verticescorners of the polygon. How many diagonals can be made using a heptagon?A. 9B. 11C. 14D. 1714. One-fourth of a certain student’s age six years ago equals one-eight of his agetwenty years hence. How old is he now?A. 22B. 32C. 42D. 4515. Mario made a deposit of P250. If this deposit consisted of 30 bills, some ten-peso bills and the rest twenty-peso bill. How many twenty-peso bill are there?A. 40B. 30C. 20D. 1016. The total number of ducks and pigs in the field is 35 and the total number oflegs is 98. How many ducks are there?A.14B. 17C. 21D. 2317. On three grading periods, John obtained grades of 84, 90, and 78. What gradedoes John need on the fourth grading to raise his average to 87?A. 98B. 96C. 94D. 9018. At what time between 8 and 9 o’clock do the hands of a clock coincide?A.²깐´±±ďÚꀀÂB.4»´±±ďÚꀀÂC.4´¶±±ďÚꀀÂD.4²¶±±ďÚꀀÂ19. One pipe can fill the water container in 15 minutes. Another pipe can fill it in 9minutes. How long would it take both pipes to fill the container?A. 5.256 minB. 5.526 minC. 5.625 minD. 5.265 min20. How many kilograms of refine sugar must be added to 20 kilograms of a 10%sweetened juice concentrate to prepare instead a light syrup 18% sweet?A. 1.59 kgsB. 1.65 kgsC. 1. 75 kgs.D. 1.95Lesson 3.1: MATHEMATICAL REASONING

West Visayas State University | 2020116Inductive Reasoningis the process of reaching a general conclusionby examining the specific examples. The conclusion formed by usinginductive reasoning is aconjecture, since it may or may not be correct.Mathematical ReasoningIs the critical thinking skill that enables a student to make use of all othermathematical skills like evaluating situations, selecting problem solving strategies,drawing logical conclusions, developing and describing solutions, and recognizinghow these solutions can be applied. It is a part of mathematics where the truthvalues of the given statements are determined.The process of thinking about something in a logical way in order to form aconclusion/ judgment/ or conjecture.Two types of Mathematical Reasoning1. Inductive Reasoning2. Deductive ReasoningSince the conjecture may or may not be correct, you can give acounterexample. If for instance in one case a statement is not true, then thestatement becomes false statement. It is only a true statement if it is true in allcasesExample 11 is an odd number.11 is an odd number.21 is an odd number.Therefore, all numbers ending with 1 are odd numbers.

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