Peter has a weigh balance with two pans. He also has one 200g weight and one 1000g weight. He wants to take 600g of sugar out of a pack containing 2000g of sugar. What is the minimum number of moves to accomplish this task?

Solution:

To make it balance, each pan should

have

This also means needs to be moved to the left

pan.

Answer:

In the figure below, and the area of the shaded part is 42cm2. Find the area of ABC ?

Solution:

Because , therefore area for

∴∆ 𝑨𝑩𝑪=12 𝒐𝒇 𝒔𝒉𝒂𝒅𝒆𝒅 𝒂𝒓𝒆𝒂=¿𝒄𝒎𝟐

Solution:

The distance between two adjacent points is:

The distance for every figure ‘8’ travelled

Answer: stop at point

In the diagram, there are two touching circles, each of radius 2 cm. An ant starts at point A and walks around the figure 8 path ABCDEFCGA in that order. The ant repeats the figure 8 walk, again and again. After the ant has walked a distance of 2005 cm it becomes tired and stops. The ant stops at a point in the path. What letter point is it?

Solution:

If A wrote it: A lie, B truth, C lie, D truth, E lie; 3 person lied If B wrote it: A truth, B lie, C lie, D truth, E lie; 3 person lied If C wrote it: A truth, B truth, C lie, D truth, E lie; 2 person lied If D wrote it: A lie, B truth, C lie, D truth, E lie; 3 person lied If E wrote it: A lie, B lie, C truth, D lie, E truth; 3 person lied

During recess one of the five pupils wrote something nasty on the blackboard. When questioned by the class teacher, they answered in following order:

A: “It was B and C.”B: “Neither E nor I did it.”C: “A and B are both lying.”D: “Either A or B is telling the truth.”E: “D is not telling the truth.”

The class teacher knows that three of them never lie while the other two may lie. Who wrote it?