ICT Students 2011

Permalink Reply by 3jkdt6w219mn2 on February 25, 2011 at 8:22

Name : Lim Zhi Han

House : Garnet

ID No : 2452/10

It is well known that the college in Lembah Beringin, KYUEM is a fully residential college. Students in this college will have to live in a chalet not far to the academic blocks and the resource centre. The tranquil settings of the college allow students to work hard with few distractions. However, the students were complaining that the chalet contains a lot of rats which gave an awful sight to students. This situation had brought brought up to the headmaster (Mr Sutherland)’s office.

Mr Sutherland then hired a worker to help to solve the problem of having rats in the chalet. The proposal below was suggested by Mr Jonathan, the worker.

In every four chalets, place a cat which is a rat eater.
Make sure the cat eats only a constant amount of rats each day from the four chalets.
X be the number of cats

Y be the number of rats the cat can eat

Calculation

24X-41Y=0

24X=41Y

X/Y=41/24

Multiplied by 2

X-Y=X-Y 2(X-Y)-Y=2X-3Y

Multiplied by 4

Multiplied by 3

24X-40Y-Y=24X-41Y 6X-9Y-Y=6X-10Y

Multiplied by 2

41-24=17 2(17)-24=10

Multiplied by 4

Multiplied by 3

6(4)-24=0 3(10)-24=6

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Permalink Reply by 3l7gz8ajeq0kp on February 25, 2011 at 8:25

Name : Nurul Aisyah Hassan
College I.D : 2467/10
Date : 22/2/2011

Curious Case of Dead Bunnies

One day, Mrs. Hunter found her daughter Kira running towards her, crying his eyes out. He was stammering and could not speak coherently. She consoled him by giving him a hug and carried him to Bella (his bunny)’s cage. To her surprise she found that Bella was no longer moving about. Instead, she seemed to be in a paralysed state, cold and utterly dead.
The next day at school, Kira told her friends about what happened, still distraught and upset. Her friend Jacob who lived next door came up to her and said his bunny died in his cage too. They checked the expiry dates on the food and water they gave to their sweet little bunnies but could not connect them to their deaths. Interestingly, it was not only Jacob’s bunny that died, it was his bunny’s baby too.
As the days went by, more stories of dead bunnies and baby bunnies surfaced. The head of the community council heard about this and decided to hold an investigation. He found traces of snake skin on the grounds of one of the residents in the neighbourhood. He was convinced that a snake was the culprit.
About a month after, the complaints died down. There were no more cases of dead bunnies, because, well, all bunnies were indeed annihilated. It was particularly interesting when it came to the calculation of the total bunny death count.

The math :

First house has x number of bunnies. The snake can eat y amount of bunnies at a time.

= x-y

In the second house, the number of bunnies doubles and so does the snake’s capacity

=2x-2y-y
=2x-3y

In the third house, the number triples

=6x-9y-y
=6x-10y

In the fourth house, the number quadruples

=24x-40y-y
=24x-41y.

24x-41y=0
24x=41y
x=41, y=24

Using substitution,

(x-y)=41-24=17
34-24=10
30-24=6
24-24=0

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Permalink Reply by 26gnfu3vifs3d on February 25, 2011 at 8:35

MYSTERY OF THE MISSING SHEEP.

There was once a village called Sleepy Hollow. The people there were mostly farmers and shepherds who reared animals like sheep and cows. There were four farmers who had sheep : ALBERT, BROWN, CARL and DOUG. However, there was a wolf named FOXY who lived in the woods nearby surrounding the village. The farmers were terrified of the wolf as the wolf would come out when it was hungry (which was mostly at night) and devour the sheep of the farmers having a hearty meal.

One night, the wolf unsuspectingly struck. He had attacked Farmer ALBERT’S farm. The next morning, the farmer’s wife was puzzled when she saw the lack of sheep in their farm. However, the wolf had not eaten all of the sheep. Therefore they had sent the sheep to their neighbour’s farm – the BROWNS’ to multiply and be protected from further attacks. She hurriedly called for her husband and they both looked horrified at the lack of sheep. They called the village council for a meeting and they prepared for subsequent attacks.

After a month of no attacks, the village people gave up and thought the wolf was gotten rid off. One night, the wolf unsuspectingly struck again. This time, it had struck BROWN’S FARM. Again, the next morning the couple were aware of what had happened and yet again there was a number of remaining sheep spared by the wolf. Then, the BROWNS’ decided to send over their remaining sheep over to the CARL’S farm, tfor further protection and to multiply.

The cycle went on again and the next month the wolf struck again. It had struck CARL’S farm. The remaining sheep were then sent over to DOUG’S farm.

History had been repeating itself. However, only one thing had changed. And this had puzzled the village people and the farmers a lot. They had no idea how it had happened let alone why it did. So… What was the big mystery?

It was that there were NO SHEEP LEFT after the last attack at DOUG’S farm.
Why is this so?

Well, MR RAVI has the answer. 

Solution..

ALBERT’S farm x ~ sheep before
(x-y) ~ after the wolf struck

BROWN’S farm X2 2(x-y)=2x-2y ~ sheep before
2x-3y ~ after the wolf struck

CARL’S farm X3 6x-9y ~ sheep before
6x-10y ~ after the wolf struck

DOUG’S farm X4 24x – 40y ~ sheep before
24x-41y ~ after the wolf struck

HOWEVER IN THE END,

24x-41y =0

Thus, there are no sheep left.

The recheck!
41-24=17
2(17)-24=10
3(10)-24=6
4(6)-24=0

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Permalink Reply by 0p5pj2taxsap0 on February 25, 2011 at 8:50

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Permalink Reply by 3024p0tz58uvq on February 25, 2011 at 8:53

Name: Elaine Solomon Pakinathan

I.D. Number: 2450/10

Block: 5

The Curious Case of the Rat Population

Once upon a time in a land far off called Lembah Beringin, a sole entrepreneur decided to build a housing estate. He was to name the housing estate Taman Seri Desa. He then built the first four houses which were to make up the estate.

Upon completion of these first three housing he encountered a problem. His problem was a very big one as would be for any housing estate developer: rats! Unfortunately for him this was not a fairytale written for children to enjoy so the rats did not sing and help him. In fact, they cost him more money. They bit all the wires, pipes etc. that he used in construction. They were everywhere and he did not have a clue how to get rid of them.

Then one day as he was relaxing under a tree, having his lunch, he saw a cat eat a kitten nearby. He immediately had the idea of taking the cat back to his estate development to have the cat eat the rats.

His effort was fruitful as the cat ate rats too! Although the cat only at a fixed number of rats each day. When the cat was first introduced, there were x number of rats in house one. The cat then ate y number of rats. The remaining rats went to house two and the number of rats there doubled. When the cat then moved on to house two it ate another y number of rats. The uneaten cats moved to house three and the number of rats here tripled. The next day the cat ate y number of rats from house three. The rats which survived then migrated to house four and the numbers of rats here quadrupled. However, on the fourth day, when the cat ate the rats in house four, the rat population was totally wiped out!

So let’s figure out what happened to the population of rats which seemed to be increasing but eventually got totally wiped out.

Proving the Curious Case of the rats

House 1:

x-y = x-y

House 2:

2(x-y) – y = 2x-3y

House 3:

3(2x-3y)-y= 6x-10y

House 4:

4(6x-10y) – y = 24x – 41y

= 0

Therefore 24x = 41y

x:y = 41:24

Hence x = 41

y = 24

House 1:

41-24 = 17

House 2:

2(17) -24 = 10

House 3:

3(10) – 24 = 6

House 4:

4(6) -24 = 0

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Permalink Reply by 3ppubkr8z0zz0 on February 25, 2011 at 8:58

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Permalink Reply by 0r0vb1vs2649g on February 25, 2011 at 8:59

Who Owns The Fish?
Zoey is a 5-year old girl who LOVES mathematics, or perhaps anything related with numbers. An alien from planet MathNoobs detected Zoey’s outstanding math ability and so decided to make her one of their candidates for the annual intergalactic math championship to help gain a reputation for their planet.
While Zoey was playing hopscotch in the backyard of her house, a bright light flashed in front of her eyes. And the next thing she saw was a huge calculator covering almost half of the backyard. She was so excited that she ran and hopped the ‘ON’ button to see what happens. A hologram of a Dairy Milk Chocolate bar appeared from the screen and just when Zoey naïvely tried to reach for it, it spoke!

“STOP! I am not for eating!”
Surprised, and even more excited, Zoey said to herself “Whoa, a talking chocolate bar! It’s a dream come true!”
The chocolate was silent for quite some time until Zoey tried to reach for it again.
“Dear residence of Earth, we come in peace. I reckon you should be smart enough to know that I am from a foreign planet due to my abnormal form. Anyway, enough chatter, I shall go straight to the aim of my travel here.” “You my dear are being watched by my fellow planet-mates as you obtain outstanding ability in dealing with numbers. As such, we will now make you the representative of planet MathNoobs to compete in the intergalactic math championship to help us gain respect.”
Zoey went “Cool! I’d love to go to planet MathNoobs and see more talking chocolates!”
“That was easy, I thought you’d be all ‘No! you can’t make me!’ so I prepared a math puzzle for you to solve, you know, like if you can solve it I’ll let you go but if you can’t I’ll take you with me. It took me a lot of time to prepare. So I’m just going to ask you okay”
“It goes like this :
There are five houses in a row and in five different colors. In each house lives a person from a different country. Each person drinks a certain drink, plays a certain sport, and keeps a certain pet. No two people drink the same drink, play the same sport, or keep the same pet. So who owns the fish?”
1) The Brit lives in a red house
2) The Swede keeps dogs
3) The Dane drinks tea
4) The green house is on the left of the white house
5) The green house owner drinks coffee
6) The person who plays polo rears birds
7) The owner of the yellow house plays hockey
8) The man living in the house right in the centre drinks milk
9) The Norwegian lives in the first house
10) The man who plays baseball lives next to the man who keeps cats
11) The man who keeps horses lives next to the one who plays hockey
12) The man who plays billiards drinks beer
13) The German plays soccer
14) The Norwegian lives next to the blue house
15) The man who plays baseball has a neighbour who drinks water.

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Permalink Reply by 0r0vb1vs2649g on February 25, 2011 at 9:00

First you need to arrange everything according to their categories

Colors	Countires	Drinks	Sports	Pet
Red	Brit	Tea	Polo	Dogs
Green	Swede	Coffee	Hockey	Birds
White	Dane	Milk	Baseball	Cats
Yellow	Norwegian	Beer	Billiards	Horses
Blue	German	Water	Soccer	Fish

Now create an empty table to put all the 15 points

House Color
Nationality
Drink
Sports
Pet

9)The Norwegian lives in the first house

House Color
Nationality	Norwegian
Drink
Sports
Pet

14)The Norwegian lives next to the blue house

House Color		Blue
Nationality	Norwegian
Drink
Sports
Pet

4) The green house is on the left of the white house

House Color		Blue	Green	White
Nationality	Norwegian
Drink
Sports
Pet

OR

House Color		Blue	Green	White
Nationality	Norwegian
Drink
Sports
Pet

1)The Brit lives in a red house

House Color		Blue	Green	White	Red
Nationality	Norwegian				Brit
Drink
Sports
Pet

OR

House Color		Blue	Red	Green	White
Nationality	Norwegian		Brit
Drink
Sports
Pet

5)The green house owner drinks coffee

House Color		Blue	Green	White	Red
Nationality	Norwegian				Brit
Drink			Coffee
Sports
Pet

OR

House Color		Blue	Red	Green	White
Nationality	Norwegian		Brit
Drink				Coffee
Sports
Pet

7)The owner of the yellow house plays hockey

House Color	Yellow	Blue	Green	White	Red
Nationality	Norwegian				Brit
Drink			Coffee
Sports	Hockey
Pet

OR

House Color	Yellow	Blue	Red	Green	White
Nationality	Norwegian		Brit
Drink				Coffee
Sports	Hockey
Pet

8)The man living in the house right in the centre drinks milk

House Color	Yellow	Blue	Red	Green	White
Nationality	Norwegian		Brit
Drink			Milk	Coffee
Sports	Hockey
Pet

11)The man who keeps horses lives next to the one who plays hockey

House Color	Yellow	Blue	Red	Green	White
Nationality	Norwegian		Brit
Drink			Milk	Coffee
Sports	Hockey
Pet		Horses

3)The Dane drinks tea

House Color	Yellow	Blue	Red	Green	White
Nationality	Norwegian	Dane	Brit
Drink		Tea	Milk	Coffee
Sports	Hockey
Pet		Horses

OR

House Color	Yellow	Blue	Red	Green	White
Nationality	Norwegian		Brit		Dane
Drink			Milk	Coffee	Tea
Sports	Hockey
Pet		Horses

2)The Swede keeps dogs

House Color	Yellow	Blue	Red	Green	White
Nationality	Norwegian	Dane	Brit	Swede
Drink		Tea	Milk	Coffee
Sports	Hockey
Pet		Horses		Dogs

OR

House Color	Yellow	Blue	Red	Green	White
Nationality	Norwegian	Dane	Brit		Swede
Drink		Tea	Milk	Coffee
Sports	Hockey
Pet		Horses			Dogs

OR

House Color	Yellow	Blue	Red	Green	White
Nationality	Norwegian		Brit	Swede	Dane
Drink			Milk	Coffee	Tea
Sports	Hockey
Pet		Horses		Dogs

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Permalink Reply by 0r0vb1vs2649g on February 25, 2011 at 9:00

13)The German plays soccer

House Color	Yellow	Blue	Red	Green	White
Nationality	Norwegian	Dane	Brit	Swede	German
Drink		Tea	Milk	Coffee
Sports	Hockey				Soccer
Pet		Horses		Dogs

OR

House Color	Yellow	Blue	Red	Green	White
Nationality	Norwegian	Dane	Brit	German	Swede
Drink		Tea	Milk	Coffee
Sports	Hockey			Soccer
Pet		Horses			Dogs

OR

House Color	Yellow	Blue	Red	Green	White
Nationality	Norwegian	German	Brit	Swede	Dane
Drink			Milk	Coffee	Tea
Sports	Hockey	Soccer
Pet		Horses		Dogs

12)The man who plays billiards drinks beer

House Color	Yellow	Blue	Red	Green	White
Nationality	Norwegian	Dane	Brit	German	Swede
Drink		Tea	Milk	Coffee	Beer
Sports	Hockey			Soccer	Billiards
Pet		Horses			Dogs

6)The person who plays polo rears birds

House Color	Yellow	Blue	Red	Green	White
Nationality	Norwegian	Dane	Brit	German	Swede
Drink		Tea	Milk	Coffee	Beer
Sports	Hockey		Polo	Soccer	Billiards
Pet		Horses	Birds		Dogs

15)The man who plays baseball has a neighbour who drinks water

House Color	Yellow	Blue	Red	Green	White
Nationality	Norwegian	Dane	Brit	German	Swede
Drink	Water	Tea	Milk	Coffee	Beer
Sports	Hockey	Baseball	Polo	Soccer	Billiards
Pet		Horses	Birds		Dogs

10)The man who plays baseball lives next to the man who keeps cats

House Color	Yellow	Blue	Red	Green	White
Nationality	Norwegian	Dane	Brit	German	Swede
Drink	Water	Tea	Milk	Coffee	Beer
Sports	Hockey	Baseball	Polo	Soccer	Billiards
Pet	Cats	Horses	Birds	FISH!!!!	Dogs