Four equal discs are placed such that each one touches two others. If the area of empty space enclosed by them is 150/847 square centimetre, then the radius of each disc is equal to 

The base of an isosceles triangle is 300 units and each of its equal sides is 170 units. Then the area of the triangle is 

The number of rounds that a wheel of diameter 7/11 metre will make in traversing 4 km will be

Let the triangles ABC and DEF be such that ∠ABC = ∠DEF, ∠ACB = ∠DFE and ∠BAC = ∠EDF. Let L be the midpoint of BC and M be the midpoint of EF. Consider the following statements :

Statement I :

Triangles ABL and DEM are similar.

Statement II :

Triangle ALC is congruent to triangle 

DMF even if AC ≠ DF.

Which one of the following is correct in respect of the above statements

If each interior angle of a regular polygon is 140⁰, then the number of vertices of the polygon is equal to 

A rhombus is formed by joining midpoints of the sides of a rectangle in the suitable order. If the area of the rhombus is 2 square units, then the area of the rectangle is