Quantitative Aptitude - Arithmetic Ability Questions

A cylindrical vessel of radius 6 cm is partially filled with water. By how much will the water level rise if a sphere of radius 5 cm is completely immersed in this water? (Take π = 22/7)

Two identical hemispheres of maximum possible size are cut from a solid cube of side 14 cm. The bases of the hemispheres are part of the two opposite faces of cube. What is the total volume (in cm3) of the remaining part of the cube?

Two numbers are in the ratio 3:5. If 6 is added to both of them, the ratio becomes 2:3. The numbers are

If two successive discounts of 30% and 10% are given, then what will be the ratio of marked price to selling price?

The LCM of 72 and 84 is:

Point P (-2, 5) is the midpoint of segment AB. Co-ordinates of A are (-5, y) and B are (x, 3). What is the value of x?

What is the value of (1/2) Sec 30° + √2 Tan 60°?

If P + 1P+2 = 1, then the value of P+23+1P+23-3 ?