Hi all ACMers,
Here we’r gonna start the “Problem Of The Week”
ofcourse most of u know what the problem of the week is
and for those who don’t know it is simply a problem mainly a Brain Teaser problem where u have to turn your mind on 
What number comes next in this sequence and why:
0 10 1110 3110 132110 1113122110 ==?==
The Answer :
1 = (5 / 5) x (5 / 5),
2 = (5 / 5) + (5 / 5),
3 = (5 + 5 + 5) / 5,
4 = ((5 x 5) – 5) / 5,
5 = ((5 – 5) / 5 ) + 5,
6 = ((5 x 5) + 5) / 5,
7 = 5 + ((5 + 5) / 5),
8 = (5 – (5 / 5)) / .5,
9 = 5 + 5 – (5 / 5),
10 = 5 + 5 x (5 / 5).
The Winners :
The First
Mohamed Wagdy
The Second
abdullah-adel
The Third
EnasMohey
Then
And now winners who have simple errors :
Thank you all .
Using standard mathematical symbols, e.g. +, -, x, etc., rearrange (4) fives to equal the numbers one to ten. For example, 5/5 + 5 – 5 = 1, 5/5 + 5/5 = 2, etc.
Note : you can use decimal point (.) only once.
Answer :
to
The Winners:
The First
Noran
The Second
bino
The Third
EnasMohey
Then
Below are 10 skittles in an upside-down triangle shape, can you move the skittles around such that the triangle is the correct way up? You can move any skittle left or right, but, at most, you are only allowed to move three skittles up or down!
Answer:
0: since one of the terms is (x – x).
The Winners
The First
EnasMohey
The Second
Haytham Alaa
The Third
Hebatalla
Then
What does this equation simplify to?
(x – a) * (x – b) * (x – c) * … * (x – z) = ?
Answer
Using Pythagoras’ Theorem:
for the right-angled triangle in the figure
(r – a)2 + (r – b)2 = r2
Now, a = 6 cm and b = 12 cm. So,
(r – 6)2 + (r – 12)2 = r2 or
r2 – 2(6)r + 62 + r2 – 2(12)r + 122 = r2. This simplifies to
r2 – 36r + 180 = 0. On factorizing, we get
(r – 30)(r – 6) = 0.
Thus, the radius of the circle is 30 cm.
Area = 30 * 30 * pi.
The Winners:
The First
Eman Fateen
The Second
New
The Third
Rana
then
In the above figure, the rectangle at the corner measures 6 cm x 12 cm. What is the area of the circle?
Answer:
21 hours and 36 minutes. The exact size of the pipes and reservoir does not matter. If we label the large pipes L, the small pipes S and if the reservior has a total of T litres, then:
T / 6L = 12 which means L = T / 72
and
T / (3L + 9S) = 8 which means that S = T / 108
we want
T / 5S which gives 108 / 5 hours = 21.6 hours = 21 hours and 36 minutes.
The Winners:
The First
EnasMohey
The Second
Hebatalla
The Third
Shreif Hassan
