CMAT Geometry Questions

Ice-cream, completely filled in a cylinder of diameter 35 cm and height 32 cm, is to be served by completely filling identical disposable cones of diameter 4 cm and height 7 cm. The maximum number of cones that can be used in this way is

Given below are two statements :
Statement I: If two chords XY and ZT of a circle intersects internally at point P, then PX - PY = PZ - PT
Statement II: If two chords XY and ZT of a circle intersect internally at point P, then PXZ and PTY are similar triangles.
In the light of the above statements, choose the correct answer from the options given below:

Given below are two statements :
Statement I: The perimeter of a triangle is greater than the sum of its three medians.
Statement II: In any triangle ABC, if D is any point on BC, then AB + BC + CA > 2 AD.
In the light of the above statements, choose the correct answer from the options given below :

A cylindrical vessel of radius 4 cm contains water. A solid sphere of 3 cm radius is lowered into the water until it is completely immersed . The water level in the vessel will rise by :

Which two figures will have same area?
(A) Circle with diameter of 14 cm.
(B) Rectangle with length 12 cm and breadth 10 cm.
(C) Rectangle with length 14 cm and breadth 11 cm.
(D) Square with side 12 cm.

Choose the correct answer from the options given below :

The graphs of ax + by = c, dx+ey = f will be,
(A) Parallel if the system has no solution.
(B) Coincident if the system has finite number of solutions.
(C) Intersecting if the system has two solutions
(D) Intersecting if the system has only one solution
Choose the correct answer from the options given below :