A man is asked: “ How long have you joined the army?”. He replies: “My military years is $\frac{1}{27}$ of my age and $\frac{1}{7}$ of the age of my son. My age is closer to number 90 than number 100. How long has he joined the army?

The weigh of four cups and a teapot is equal to the weigh of 17 pencil leads. The weigh of a teapot is equal to the weigh of 7 pencil leads. The weigh of a teapot is equal to how many pencil leads?

A fisherman is asked how heavy the fish he caught is. He replies: “The tail weighs 150g, the mass of its head is equal to the sum of tail’s weight and $\frac{1}{2}$  the weight of its body, while the fish’s body weight is equal the weight of head and tail. What is the weight of the whole fish? 

A farmer brings two egg baskets to the market, each basket has 30 eggs. In the smaller basket, she plans to sell 3 eggs for 1 dollar . In the biger basket, she will sell 2 eggs for 1 dollar. However, at the market, she changes her mind. The farmer mixes up eggs in both baskets and sells 5 eggs for 2 dollars. How much does she lose?

A girl brings two egg baskets to the market. A boy accidentally pushes her so she drops the two baskets. All eggs are broken. He apologizes to her and askes how many eggs are there altogether. She says: “I didn’t count but when I put 2 eggs each time in each basket, or 3 eggs each time, or 4 eggs each time, 5 eggs each time or 6 eggs each time, there will always one spare egg. But when I put 7 eggs each time in each basket,  there is no spare egg left”. How many eggs are there?

Triagle ABC is given. The side AB is decreased by $\frac{1}{4}$ of its length and side AC is increased by $\frac{1}{4}$ . The area of new triangle DCE is smaller than the original triangle by 2 $c{{m}^{2}}$ . Find the area of the original triangle ABC ?

Triangle ABC is given with AB = 9cm and the area is 36 cm^2. . Point M is on side BC, and BM = 3MC. A line is drawn through point M which intersects side AB at point K. The area of triangle KBM is also equal to 36 cm^2.  What is the length of side AK?

Triangle ABC is given with M is the midpoints of side AB is M, side MB is N, side AC is P and side PC is Q. Find the area of find the area of the quadrilateral MNQP if the area of the triangle ABC equals 16 cm².

Triangle ABC is given with point O lies inside the triangle. The area of the triangle AOB is 6 cm². The area of the triangle BOC is 8 cm². The area of the triangle COA is 2 cm².  The line OA splits the triangle ABC into two parts. Find the area of those two parts?

Triangle ABC is given. On side AB, take the points D and E so that AD = DE = EB. On the side AC, take the points M and N so that AM = MN = NC. Find the area of the triangle ABC. Knowing that the area of the quadrilateral DEMN is 6 cm² ?

The area of the triangle ABC is 420 cm². N is the midpoint edge CA. P is the point on the side AB; AP = 3 x PB. The line BN intersects CP at K. What is the area of the triangle BKC?

Quadrilateral ABCD is given. I is the midpoint of side AB. What is the area of the triangle ICD? Knowing the area of the triangles ACD is 12 $c{{m}^{2}}$ and BCD is 18 $c{{m}^{2}}$.

The area of quadrilateral ABCD is 34 cm². The line CB extends towards point B and the line DA extends towards point A, then the two lines intersect at point P. Find the area of triangles ABD and BCD? Knowing the area of the triangle PAB is  18 cm² and the area of triangle ABC is 6 cm².  

There are two types of car in the garage: 3-wheel car and 4-wheel car. The total number of cars is 40 and the total number of wheels is 148. How many cars are there for each type?

8^th of  March , 2004 is a Tuesday. 60 years later, on which day of the week was 8^th of March ?

( Monday, Tuesday, ……write as 2, 3, ….. )