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2. Alice, Ben and Carl collect stamps. They exchange stamps among themselves according to the following scheme: Alice gives Ben as many stamps as Ben has and Carl as many stamps as Carl has. After that, Ben gives Alice and Carl as many stamps as each of them has, and then Carl gives Alice and Ben as many stamps as each has. If each finally has 64 stamps, with how many stamps does Alice start? 3. Solve the following cryptarithms. Note that in each problem, letters represent a single digit only. (a) (HE) = SHE; and, (b) WRONG+ WRONG = RIGHT 4. How many squares of all sizes are in an 8x8 checkerboard?

2. Alice, Ben and Carl collect stamps. They exchange stamps among themselves according to the following scheme: Alice gives Ben as many stamps as Ben has and Carl as many stamps as Carl has. After that, Ben gives Alice and Carl as many stamps as each of them has, and then Carl gives Alice and Ben as many stamps as each has. If each finally has 64 stamps, with how many stamps does Alice start? 3. Solve the following cryptarithms. Note that in each problem, letters represent a single digit only. (a) (HE) = SHE; and, (b) WRONG+ WRONG = RIGHT 4. How many squares of all sizes are in an 8x8 checkerboard?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please answer the first three items.
Topic 3 Practice Test Some of the following problems involve patterns and some are recreational by nature. Solve each of them, making use of any problem-solving strategy. Pomoct. 2. Alice, Ben and Carl collect stamps. They exchange stamps among themselves according to the following scheme: Alice gives Ben as many stamps as Ben has and Carl as many stamps as Carl has. After that, Ben gives Alice and Carl as many stamps as each of them has, and then Carl gives Alice and Ben as many stamps as each has. If each finally has 64 stamps, with how many stamps does Alice start? 3. Solve the following cryptarithms. Note that in each problem, letters represent a single digit only. (a) (HE) = SHE; and, (b) WRONG+ WRONG RIGHT 4. How many squares of all sizes are in an 8x8 checkerboard? 5. In order to encourage his son in the study of algebra, a father promised the son P8 for every problem solved correctly and to fine him P5 for each incorrect solution. After 26 problems, neither owed anything to the other. How many problems did the boy solve correctly? 6. Find 3 solids and their measurements whose surface area is 60 square units. 7. If a pup is worth a pooch and a mutt, and a pup and a pooch are worth one bird dog, and two bird dogs are worth three mutts, how many pooches is a pup worth? 8. If it is now 10:45 am, what time will it be in 143,999,999,995 minutes from now? 9. Find the unit's digit for the sum 1325 + 481 +5411 10. Mang Ruben has only an 11-liter can and a 5-liter can. How can he measure out exactly 7 liters of water? 11. An egg vendor broke all the eggs that he was delivering to a local store. He could not remember how many eggs there were in all. However, he did remember that when he tried to pack them into packages of 2, 3, 4, 5 and 6 he had one left over each time. When he packed them into packages of 7, he had none left over. What is the smallest number of eggs he could have had in the shipment? 12. Solve this logic number sequence puzzle by the correct digit: 8080=6; 1357= 0; 2022 = 1; 1999 = 3; 6666= 13. What comes in place of the blank in the following series?WE, SG, PJ, LN, 14. At a fruit stand in Hogwarts, an orange costs P15.00, a pineapple costs P22.50, and a mango costs P12.50. Using the same logic, how much does an avocado cost? 15. What number should replace the question mark? 12 8 11 5 1 7 14 16
Transcribed Image Text:Topic 3 Practice Test Some of the following problems involve patterns and some are recreational by nature. Solve each of them, making use of any problem-solving strategy. Pomoct. 2. Alice, Ben and Carl collect stamps. They exchange stamps among themselves according to the following scheme: Alice gives Ben as many stamps as Ben has and Carl as many stamps as Carl has. After that, Ben gives Alice and Carl as many stamps as each of them has, and then Carl gives Alice and Ben as many stamps as each has. If each finally has 64 stamps, with how many stamps does Alice start? 3. Solve the following cryptarithms. Note that in each problem, letters represent a single digit only. (a) (HE) = SHE; and, (b) WRONG+ WRONG RIGHT 4. How many squares of all sizes are in an 8x8 checkerboard? 5. In order to encourage his son in the study of algebra, a father promised the son P8 for every problem solved correctly and to fine him P5 for each incorrect solution. After 26 problems, neither owed anything to the other. How many problems did the boy solve correctly? 6. Find 3 solids and their measurements whose surface area is 60 square units. 7. If a pup is worth a pooch and a mutt, and a pup and a pooch are worth one bird dog, and two bird dogs are worth three mutts, how many pooches is a pup worth? 8. If it is now 10:45 am, what time will it be in 143,999,999,995 minutes from now? 9. Find the unit's digit for the sum 1325 + 481 +5411 10. Mang Ruben has only an 11-liter can and a 5-liter can. How can he measure out exactly 7 liters of water? 11. An egg vendor broke all the eggs that he was delivering to a local store. He could not remember how many eggs there were in all. However, he did remember that when he tried to pack them into packages of 2, 3, 4, 5 and 6 he had one left over each time. When he packed them into packages of 7, he had none left over. What is the smallest number of eggs he could have had in the shipment? 12. Solve this logic number sequence puzzle by the correct digit: 8080=6; 1357= 0; 2022 = 1; 1999 = 3; 6666= 13. What comes in place of the blank in the following series?WE, SG, PJ, LN, 14. At a fruit stand in Hogwarts, an orange costs P15.00, a pineapple costs P22.50, and a mango costs P12.50. Using the same logic, how much does an avocado cost? 15. What number should replace the question mark? 12 8 11 5 1 7 14 16
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