Question
Find the fourth proportion of (k + 1), (2k + 2) and (3k
+ 3). (Note: 'k' is the smallest two-digit composite number.)Solution
'k' = 10 k + 1 = 10 + 1 = 11 2k + 2 = 2 × 10 + 2 = 22 3k + 3 = 3 × 10 + 3 = 33 Let the fourth proportion be 'm'. 11 : 22 :: 33 : m So, 11 × m = 22 × 33 Or, 'm' = 66
The ratio of length to breadth of a rectangle is 8:5. When the length and breadth of the rectangle is increased by 40% and decreased by 25% respectively...
The curved surface area of a cone exceeds that of a cylinder by __ cm². The radius of the cone is twice that of the cylinder. The area of the cylinder...
If the area of square is 225 cmsup2; and the breadth of rectangle is 20% more and the length is 30% more than the side of the square, then find the the ...
The volume of a hemisphere is 2425 (1/ 2) cm3. Find its diameter (Take p = 22/7)
Calculate the total number of tiles needed to completely cover a rectangular floor that measures 132 meters by 125 meters. Each tile has dimensions of 2...
The volume of a cube is 1000 cm³. If the cost of painting the cube is Rs. 8 per cm², then find the cost of painting five faces of the cube.
After offering a discount of 28 percent on the sale of an item, a seller made a profit of 12.5 percent. If the cost price of the item was Rs. y. What wa...
- Compute the diameter of the incircle of a triangle where the semi-perimeter is 30 cm and the area is 90 cm².
A rectangular garden has a length of 15 meters and a width of 8 meters. A path 2 meters wide is constructed all around the garden. What is the area of t...
