Quantitative Aptitude - Arithmetic Ability Questions

A right triangular pyramid XYZB is cut from cube as shown in figure. The side of cube is 16 cm. X, Y and Z are mid points of the edges of the cube. What is the total surface area (in sq.cm) of the pyramid?

In the given figure,PQ = PS = SR and QPS = 40 deg, then what is the value of QPR (in deg) ?

Krishna cycled a distance of 90 km at a certain speed. If he cycled 3 km slower every hour, he would have taken 5 more hours to reach his destination. What is the speed in kmph at which Krishna actually cycled?

Cost price of a calculator is Rs 495. If the profit percentage is 40%, then what is the value (in Rs) of profit?

Cost price of a refrigerator is Rs 13400. If loss percentage is 4%, then what is the selling price (in Rs) of the refrigerator?

Each question contains Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly.

Quantity I: if the length of a rectangle is increased by 20% while the breadth of the rectangle is decreased by 10% then find percentage change in area of the rectangle?

Quantity II: if the side of a triangle is increased by 30% while the height of a triangle is decreased by 20% then find the percentage change in area of the triangle?

A solid sphere has a radius 21 cm. It is melted to form a cube. 20% material is wasted in this process. The cube is melted to form hemisphere. In this process 20% material is wasted. The hemisphere is melted to form two spheres of equal radius. 20% material was also wasted in this process. What is the radius (in cm) of each new sphere?

If 70% of total articles are sold at a profit of 20% and remaining articles are sold at a loss of 20%, then what will be the overall profit percentage?