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Question 1
The volume of a sphere is 8 times that of another sphere. What is the ratio of their surface areas ?
Question 2
The perimeter of base of cylinder is 20 cm. If the height of cylinder is 12 cm, then what will be its curved surface area (in cm2)?
Question 3
The perimeter of a rhombus is 40 cm and one of its diagonal is 16 cm. The area of rhombus is
Question 4
The area of a trapezium is 336 cm2. If its parallel sides are in the ratio 5:7 and the perpendicular distance between them is 14 cm, then the smaller of the parallel sides is
Question 5
Three cubes of metal whose edges are 3, 4 and 5 cm respectively are melted and formed into a single cube. If there be no loss of metal in the process, then the side of the new cube is
Question 6
Three rectangles R1, R2 and R3 have the same area. Their lengths x1, x2 and x3 respectively are such that x1 < x2 < x3. If V1, V2 and V3 are the volumes of the cylinders formed from the rectangles R1, R2 and R3 respectively by joining the parallel sides along the breadth, then which one of the following is correct?
Question 7
The perimeter of a rectangle and an equilateral triangle are same. Also, length of the rectangle is equal to the side of the triangle. The ratio of the areas of the rectangle and the equilateral triangle is how much?
Question 8
The circumference of a circle is 100 cm. The side of the square inscribed in the circle is
Question 9
If the length of a rectangle increases by 10% and the breadth of that rectangle decreases by 12% , then find the % changes in area
Question 10
If the sum of the length, breadth and height of a rectangular parallelepiped is 24 cm and the length of its diagonal is 15 cm, then its total surface area is
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Jul 7CDS & Defence
