Q: We were standing at the top of a church tower. My father had brought me to this spot in a small town not far from our home in Rome. I wondered why. "Look down, Elsa," Father said. I gathered all my courage and looked down. I saw the square in the center of the village, And I saw the criss-cross of streets leading to the square. "See, my dear," Father said gently, "There is more than one way to the square. Life is like that. If you can't get to the place where you want to go by one road. try another." Now I understood why I was there, Earlier that day I had begged my mother to do something about the awful lunches that were served at school. But she refused because she didn't believe the lunches were as bad as I said. When I turned to Father for help, he would not interfere . Instead, he brought me to this high tower to give me a lesson. By the time we reached home, I had a plan. At school the next day, I secretly poured my lunch soup into a bottle and brought it home. Then I asked our cook to serve it to Mother at dinner. _ She swallowed one spoonful and sputtered, "The cook must have gone bad!" Quickly I told what I had done, and Mother stated firmly that she would deal with the matter of lunches at school the next day! In the following years I often remembered the lesson Father taught me. I began to work as a fashion designer two years ago. I wouldn't stop working until I tried every possible means to my goal. Father's wise words always remind me that there is more than one way to the square,

Answer the following questions:
1. Where were we?
2. Where was it?
3. What's my name?
4. Who was I with?
5. What did I see below me?
6. What did I want my mom to do?
7. Did she do something?
8. Who did I turn to next?
9. Did he help?
10. What did I bring home?
11. In what?
12. Did it taste good?
13. What is my job?
14. When?
15. Did my mom eat the soup?
16. Was the tower nearby?
17. Was I scared?
18. Were the roads in a circle?
19. Who gave the soup to my mom?
20. When did I come up with a plan?
A: 1. church tower
2. in Rome
3. Elsa
4. My father
5. the square
6. something about school lunches
7. No
8. Father
9. No
10. soup
11. bottle
12. No
13. fashion designer
14. two years ago
15. yes
16. yes
17. yes
18. no
19. our cook
20. by the time we reached home
Q: CHAPTER VII 

IN WHICH MIKE IS DISCUSSED 

Trevor and Clowes, of Donaldson's, were sitting in their study a week after the gramophone incident, preparatory to going on the river. At least Trevor was in the study, getting tea ready. Clowes was on the window-sill, one leg in the room, the other outside, hanging over space. He loved to sit in this attitude, watching some one else work, and giving his views on life to whoever would listen to them. Clowes was tall, and looked sad, which he was not. Trevor was shorter, and very much in earnest over all that he did. On the present occasion he was measuring out tea with a concentration worthy of a general planning a campaign. 

"One for the pot," said Clowes. 

"All right," breathed Trevor. "Come and help, you slacker." 

"Too busy." 

"You aren't doing a stroke." 

"My lad, I'm thinking of Life. That's a thing you couldn't do. I often say to people, 'Good chap, Trevor, but can't think of Life. Give him a tea-pot and half a pound of butter to mess about with,' I say, 'and he's all right. But when it comes to deep thought, where is he? Among the also-rans.' That's what I say." 

"Silly ass," said Trevor, slicing bread. "What particular rot were you thinking about just then? What fun it was sitting back and watching other fellows work, I should think." 

"My mind at the moment," said Clowes, "was tensely occupied with the problem of brothers at school. Have you got any brothers, Trevor?" 

Answer the following questions:
1. Had there been an incident with a gramophone?
2. Who does Trevor think is a silly ass?
3. Was his mind occupied with thoughts of girls?
4. Then who?
5. Is he interested in Trevor's siblings?
6. Does he also think on life?
7. What type of chap does he think Trevor to be?
8. How much butter does Trevor need to have a good time?
9. What else does he need?
10. Does Clowes think Trevor capable of deep thought?
11. Does Trevor think Clowes is a go-getter or a slacker?
12. What academy are the boys from?
13. Where are they sitting?
14. How long's it been since that record player incident?
15. Where are they preparing to go?
16. Is Clowes all the way in the room?
17. What's hanging out in space?
18. Is Clowes short or tall?
19. Is he sad?
20. What's Trevor making for them to drink?
A: 1. yes
2. Clowes
3. no
4. brothers at school
5. yes
6. yes
7. good
8. half a pound
9. a tea-pot
10. no
11. slacker
12. Donaldson's
13. in their study
14. a week
15. on the river
16. no
17. his leg
18. tall
19. no
20. tea
Q: A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example, 5 is prime because 1 and 5 are its only positive integer factors, whereas 6 is composite because it has the divisors 2 and 3 in addition to 1 and 6. The fundamental theorem of arithmetic establishes the central role of primes in number theory: any integer greater than 1 can be expressed as a product of primes that is unique up to ordering. The uniqueness in this theorem requires excluding 1 as a prime because one can include arbitrarily many instances of 1 in any factorization, e.g., 3, 1 · 3, 1 · 1 · 3, etc. are all valid factorizations of 3. 

The property of being prime (or not) is called primality. A simple but slow method of verifying the primality of a given number n is known as trial division. It consists of testing whether n is a multiple of any integer between 2 and . Algorithms much more efficient than trial division have been devised to test the primality of large numbers. These include the Miller–Rabin primality test, which is fast but has a small probability of error, and the AKS primality test, which always produces the correct answer in polynomial time but is too slow to be practical. Particularly fast methods are available for numbers of special forms, such as Mersenne numbers. As of January 2016[update], the largest known prime number has 22,338,618 decimal digits.

Answer the following questions:
1. what is primality?
2. is trial division less efficient than an algorithm
3. what have the algorithms been developed for?
4. name one
5. is it known as error free?
6. name another?
7. which is faster?
8. what are non prime numbers called?
9. is 1 prime?
10. how many digits in the largest prime number?
A:
1. a number that con only be divided by 1 and itself
2. yes
3. test the primality of large numbers
4. Miller Rabin
5. no
6. AKS
7. Miller Rabin
8. composite numbers
9. no
10. 22,338,618