Quantitative Aptitude - Arithmetic Ability Questions

In the question, two equations I and II are given. You have to solve both the equations and give answer

$$\begin{gathered} x2-11x+28=0 \\ y2-18y+81=0 \end{gathered}$$

If a(a + b + c) = 45, b(a + b + c) = 75 and c(a + b + c) = 105, then what is the value of (a2 + b2 + c2 )?

If A is equal to 20% of B and B is equal to 25% of C; then what percent of C is equal to A?

A pentagonal prism has 15 edges. How many vertices does it have?

Calculate the area (in cm2 ) of a circle of radius 10.5 cm.

If three numbers are in the ratio 2 : 3 : 5 and the twice their sum is 100. Find the square of the largest of the three numbers.

Which one among the following does not belong to the group?

Let O be the orthocentre of the triangle ABC. If ∠BOC = 150°, Then ∠BAC is