Question : A pole is 9030 cm long. It is coloured saffron, white and green in the ratio of 6 : 7 : 8. Find the length of the green part of the pole.

Option 1: 3440 cm

Option 2: 3010 cm

Option 3: 3480 cm

Option 4: 2580 cm

Question : The radius and height of a cylinder are in the ratio 4: 7 and its volume is 2816 cm³. Find its radius. (Take $\pi=\frac{22}{7}$ )

Option 1: 5 cm

Option 2: 7 cm

Option 3: 8 cm

Option 4: 6 cm

Question : Two circles touch each other externally. The radius of the first circle with centre O is 12 cm. Radius of the second circle with centre A is 8 cm. Find the length of their common tangent BC.

Option 1: $6 \sqrt{6} \mathrm{~cm}$

Option 2: $8 \sqrt{3} \mathrm{~cm}$

Option 3: $8 \sqrt{2} \mathrm{~cm}$

Option 4: $8 \sqrt{6} \mathrm{~cm}$

Question : Which of the set of three sides can't form a triangle?

Option 1: 5 cm, 6 cm, and 7 cm

Option 2: 5 cm, 8 cm, and 15 cm

Option 3: 8 cm, 15 cm, and 18 cm

Option 4: 6 cm, 7 cm, and 11 cm

Question : The radius of a circle is 6 cm. The distance of a point lying outside the circle from the centre is 10 cm. The length of the tangent drawn from the outside point to the circle is:

Option 1: 5 cm

Option 2: 6 cm

Option 3: 7 cm

Option 4: 8 cm

Question : Two concentric circles are of radii 10 cm and 6 cm. Find the length of the chord of the larger circle which touches the smaller circle.

Option 1: 8 cm

Option 2: 16 cm

Option 3: 12 cm

Option 4: 9 cm