The Weekly Challenge [Updated 1]

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 :)

… continue reading this entry.

What is next ?

What number comes next in this sequence and why:

0   10   1110   3110   132110   1113122110   ==?==

4 Fives [Answered]

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

  • 4@
  • ahmed said
  • Mohammad Rashad
  • Shohanda
  • Ghada Abdelbaset
  • Mohamed Mostafa

And now winners who have simple errors :

  • Abu-Bakr Taha
  • Muhammad Albedewy
  • Omar Mohammad Othman
  • sara el_sebaiee
  • Ahmed Hussam
  • Aya Magdy
  • karim ibrahim
  • abumuslimamr
  • bino
  • abdullahnajuib
  • Esraa Ibrahim
  • Salma H. E. Mostafa
  • yasmeena2090
  • Ahmed Magdy

Thank you all :) .

4 Fives

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.

Triangle [Answered]

Answer :

to

The Winners:

The First

Noran

The Second

bino

The Third

EnasMohey

Then

  • khaled ahmed
  • New
  • mona
  • Hebatalla
  • abdullah adel
  • Aya Magdy

Triangle

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!

Simplify The Equation [Answered]

Answer:

0: since one of the terms is (x – x).

The Winners

The First

EnasMohey

The Second

Haytham Alaa

The Third

Hebatalla

Then

  • marmoor1989
  • Noran
  • Aya Magdy
  • nabil
  • khaled ahmed
  • the sergeon

Simplify The Equation

What does this equation simplify to?

(x – a) * (x – b) * (x – c) * … * (x – z) = ?

Circle & Rectangle [Answered]

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

  • Mohamed Osama
  • Rana M
  • EnasMohey
  • Aya Magdy
  • Hebatalla
  • Amr Saqr
  • Nora Youssef

Circle & Rectangle

!

In the above figure, the rectangle at the corner measures 6 cm x 12 cm. What is the area of the circle?

Pipes [Answered]

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

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