Question : In the given figure, ABCD is a square. EFGH is a square formed by joining mid-points of sides of ABCD. LMNO is a square formed by joining mid-points of sides of EFGH. A circle is inscribed inside LMNO. If the area of a circle is 38.5 cm² then what is the area (in cm²) of square ABCD?

Option 1: 98

Option 2: 196

Option 3: 122.5

Option 4: 171.5

Question : In a trapezium ABCD, AB and DC are parallel sides and $\angle ADC=90^\circ$. If AB = 15 cm, CD = 40 cm and diagonal AC = 41 cm, then the area of the trapezium ABCD is:

Option 1: 245 cm²

Option 2: 240 cm²

Option 3: 247.5 cm²

Option 4: 250 cm²

Question : Let A, B, and C be the mid-points of sides PQ, QR, and PR, respectively, of PQR. If the area of $\triangle$ PQR is 32 cm², then find the area of $\triangle$ ABC.

Option 1: 24 cm²

Option 2: 16 cm²

Option 3: 32 cm²

Option 4: 8 cm²

Question : If the diameter of a sphere is 3.5 cm, then what is the total surface area of the sphere?

Option 1: 45.75 cm²

Option 2: 42.6 cm²

Option 3: 38.5 cm²

Option 4: 34.25 cm²

Question : The base of a right pyramid is square of side 10 cm. If the height of the pyramid is 12 cm, then its total surface area is:

Option 1: 400 cm²

Option 2: 460 cm²

Option 3: 260 cm²

Option 4: 360 cm²