The principal which gives ₹ 1 interest per day at a rate of 5% simple interest per annum is

• ₹ 5000

• ₹ 7300 

• ₹ 36500

• ₹ 36500

When Principal = ₹ S, rate of interest  = 2r % p.a., then a person will get after 3 years at compound interest

The sum of money which becomes ₹ 2420 at 10% rate of compound interest after two years is

• ₹ 2000

• ₹ 1000

• ₹ 2500

• ₹ 2500

From a solid right circular cylinder of length 4 cm and diameter 6 cm, a conical cavity of the same height and base is hollowed out. The whole surface area of the remaining solid (in square cm) is

• 48 π

• 15 π

• 63 π

• 53 π

A spherical ball of radius 1 cm is dropped into a conical vessel of radius 3 cm and slant height 6 cm. The volume of water (in cm³), that can just immerse the ball, is

The in-radius of a triangle is 6 cm, and the sum of the lengths of its sides is 50 cm. The area of the triangle (in square cm.)

• 150

• 50

• 300

• 300

7.

One of the angles of a right-angled is 15°, and the hypotenuse is 1 metre. The area of the triangle (in square cm) is

• 1220

• 1200

• 1250

• 1250

Assume that a drop of water is spherical and its diameter is one-tenth of a cm. A conical glass has a height equal to the diameter of its rim. If 32000 drops of water fill the glass completely, then the height of the glass (in cm) is

• 3

• 1

• 4

• 4

If the height of a cylinder is 4 times its circumference, the volume of the cylinder in terms of its circumference c, is

If the ratio of the angles of a quadrilateral is 2 : 7 : 2 : 7, then it is a

• trapezium

• parallelogram

• square

• square