Welcome to your 08 math

1. 
If by selling a cycle for ₹3600/-, a shopkeeper loses 10%. What is the actual price of the cycle?
2. 
3. 
Find the side of a square, whose area is equal to the area of a rectangle with sides 6.4 m and 4.9 m.
4. 
If m is the square of a natural number n, then n is
5. 
What is the radius of the largest circle that can be cut-out of the rectangle measuring 12 cm in length and 10 cm in breadth?
6. 
The ratio of radii of two cylinders is 1: 2 and heights are in the ratio 2:3. The ratio of their volumes is
7. 
If the height of a cylinder becomes 1/4 of the original height and the radius is doubled, then which of the following will be true?
8. 
36 unit squares are joined to form a rectangle with the least perimeter. Perimeter of the rectangle is :
9. 
In a off season sale, A shopkeeper is giving successive discounts 30% and 40% on every item. Find the single discount equivalent to these successive discounts.
10. 
The area of a trapezium with equal non-parallel sides is 168 square m. If the lengths of the parallel sides are 36 m and 20 m, then find the length of the non-parallel side.
11. 
By selling a chair for ₹ 990. Mohan loses 10%. Find the cost price of the chair?
12. 
13. 
Area of a quadrilateral ABCD is 20 cm² and perpendiculars on BD from opposite vertices are 1 cm and 1.5 cm. The length of BD is
14. 
A room is 4.5 m long and 4 m wide. The floor of the room is to be covered with tiles of size 18 cm by 10 cm. Find the cost of covering the floor with tiles at the rate of ₹ 4.50 per tile.
15. 
√1296 = (?)²
16. 
A car manufacturer claimed that CO₂ emissions from a car were 160g/km. Their latest model has emissions at 15% less. What are the CO₂ emissions on the new car?
17. 
The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is ₹ 2. The sum is :
18. 
A cube of side 4 cm is cut into 1 cm cubes. What is the ratio of the surface areas of the original cubes and cut-out cubes?
19. 
Mohan bought a Mobile for ₹ 9000 and sold at the loss of ₹ 900.Find the selling price of the mobile.
20. 
Find the area of a square park whose perimeter is 440 m, Also find the cost of growing grass on it at the rate of ₹ 2.15 per sq. m?