61.

If 

• 2

• 1

The area of the largest triangle that can be inscribed in a semicircle of radius 6m is:

• 36 m²

• 72 m²

• 18 m²

• 18 m²

The value of  is

Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. The ratio between capacity of a man and a woman is

• 3 : 4

• 4 : 3 

• 5 : 3

• 5 : 3

If  then the value of 

• 180

• 198

• 234

• 234

In a cyclic quadrilateral ABCD,  and passes  through the centre of the circle. Then 

The midpoints of AB and AC of triangle ABC are X and Y respectively. If BC + XY = 12 units, then BC - XY  is

• 10 units

• 8 units

• 6 units

• 6 units

In an isosceles  AD is the median to the unequal side meeting BC at D. DP is the angle bisector of  and PQ is drawn parallel to BC meeting AC at Q. Then the measure of  is

129 m from the foot of a cliff on level of ground, the angle of elevation of the top of a cliff is 30°. The height of this cliff is

• 50√3 m

• 45√3 m

• 43√3 m

• 44√3 m

The volume of metallic cylindrical pipe of uniform thickness is 748 cm³. Its length is 14 cm and its external radius is 9 cm. The thickness of the pipe is

• 0.5 cm

• 1.5 cm

• 1 cm

• 1 cm