Two numbers are such that their difference, their sum and their product are in the ratio of 1 : 7 : 24. The product of the numbers is

• 24

• 36

• 48

• 48

A, B, C are partners in a business. During a particular year. A received one-third of the profit, B received one-fourth of the profit and C received the remaining Rs. 5000. How much amount of money did A receive?

• Rs. 1000

• Rs. 3000

• Rs. 4000

• Rs. 4000

Three horses are tethered at 3 corners of a triangular plot of land having sides 20m, 30m and 40m each with a rope of length 7m. The area (in m²) of the region of this plot, which can be grazed  by the horses, is 

• 

• 75

• 77

• 77

A wire, when bent in the form of a square, encloses a region of area 121 cm². If the same wire is bent into the form of a circle, then the area of the circle is  

• 150 cm²

• 152 cm²

• 154 cm²

• 154 cm²

35.

The ratio of the area of a sector of a circle to the area of the circle is 1 : 4. If the area of the circle is 154 cm², the perimeter of the sector is

• 20 cm

• 25 cm

• 36 cm

• 36 cm

The length of the diagonal of a cube is 6 cm. The volume of the cube (in cm²) is

If a sphere of radius r is divided into four identical parts, then the total surface area of the four parts is

• 4πr² square unit

• 2πr² square unit

• 8πr² square unit

• 6πr² square unit

A sum of money, deposited at some rate per cent per annum of compound interest, doubles itself in 4 years. In how many years will it become 16 times of itself at the same rate?

• 16

• 12

• 10

• 10

What is the difference between the compound interest and simple interest on Rs. 4000 at 5% per annum for 2 years?

• 10

• 11

• 20

• 20

The simple and compound interest on a sum of money for 2 year are Rs. 8400 and Rs. 8652 respectively. The rate of interest per annum is

• 6%

• 7.5%

• 9%

• 9%