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Question 1
The perimeters of an equilateral triangle and a square are equal. If the height of the equilateral triangle is 15 cm, then find the ratio of the side of the equilateral triangle and the side of the square.
Question 2
The radius and the height of a right circular cone are in the ratio 5 : 12. Its curved surface area is 816.4 cm2. What is the volume in cm3) of the cone (Take π = 3.14)
Question 3
A solid sphere of diameter 17.5 cm is cut into two equal halves. What will be the increase (in cm2) in the total surface area?
Question 4
The area of the base of a pyramid is 78 sq. cm and its height is 13 cm. Find the volume of the pyramid.
Question 5
One diagonal of a rhombus is 60% of the other diagonal and there is a square whose side is 1.5 times of the larger diagonal of the rhombus. Then, the area of the incircle of the square is how many times the area of the rhombus?
Question 6
The length of a rectangular plot is five times of its breadth. If the area of the rectangular plot is 2000 m2, then what is the breadth of the rectangular plot?
Question 7
A cube of 9 cm edge is immersed completely in a rectangular vessel containing water. If the dimensions of base are 15 cm and 12 cm. Then, the rise in water level in the vessel is
Question 8
Find the area of the shaded region if the radius of the circle is 1cm.
Question 9
A solid metal sphere has radius 14 cm. It is melted to form small cones of radius 1.75 cm and height 3.5 cm. How many small cones will be obtainedfrom the sphere?
Question 10
In the given figure a square of side length 14 cm is divided into four equal identical part. Two largest possible equilateral triangles are drawn within two part of the squares and a circle is drawn within third part of the square. What is the area of the shaded region?
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Dec 23SSC & Railway
