mensuration area volumes Model Questions & Answers, Practice Test for ibps po prelims 2023

A cylinder of height 2x is circumscribed by a sphere of radius 2x such that the circular ends of the cylinder are two small circles on the sphere. What is the ratio of the curved surface area of the cylinder to the surface area of the sphere?

ABCD is a square, P, Q, R and S are points on the sides AB, BC, CD and DA respectively such that AP = BQ = CR = DS. What is ∠SPQ equal to?

30 metallic cylinders of same size are melted and cast in the form of cones having the same radius and height as those of the cylinders.
Consider the following statements :
Statement I : A maximum of 90 cones will be obtained.
Statement II : The curved surface of the cylinder can be flattened in the shape of a rectangle but the curved surface of the cone when flattened has the shape of triangle.
Which one of the following is correct in respect of the above?

The perimeter of a triangle is 22 cm. Through each vertex of the triangle, a straight line parallel to the opposite side is drawn. What is the perimeter of triangle formed by these lines?

Two circles, each of radius r, with centres P and Q, are such that each circle passes through the centre of the other circle. Then the area common to the circles is less than one-third of the sum of the areas of the two circles by