An arithmetic sequence is a sequence of numbers a_{1}, a_{2}, a_{3},... where a_{n} - a_{n-1} has the same value for every n. For example, 2, 4, 6, 8, 10,....is such a sequence where the difference between any 2 consecutive numbers is 2. Given, a, b, c, d, and e are consecutive numbers in such a sequence and a + b + c + d + e = 80. What is the value of c?

A train traveling at 30 kilometers per hour, passes through a tunnel in 4 minutes. A second train, twice as long as the first one, traveling at the same speed, takes 6 minutes to pass through the tunnel. What is the length of the second train?

If three angles of a triangle are equal to the corresponding angles of another triangle then the triangles are congruent.

B.

If two sides and the included angle of a triangle are respectively equal to the two sides and the included angle of another triangle, the triangles are congruent.

C.

If two triangles are equal in area, they are congruent.

D.

If the hypotenuse of a right triangle is equal to hypotenuse of another right triangle then the triangles are congruent.

Ibrahim rolls a cube in which the letters D, E, S, J, V and P appear on faces 1, 2, 3, 4, 5, and 6, respectively. What is the fraction of symmetric letters (either horizontal or vertical) on the cube?

When a number is put into the machine below, a different number comes out. If 2 goes in, 8 comes out. If 6 goes in, 12 comes out. If 7 goes in, 13 comes out.

There are two containers out of which one can hold

2

5

6

liters of petrol while the other can hold

1

1

4

liters of petrol. Suppose there are 12 containers of the first type and 12 containers of the second type. How many liters of petrol is required to fill them both?

Divide ^@BD700^@ into two parts such that the simple interest on the first part for ^@9^@ years at ^@18\%^@ per annum is equal to the simple interest on the second part for ^@3^@ years at ^@6\%^@ per annum.