Question : A square of side $p$ is taken. A rectangle is cut out from this square such that the length of one side of the rectangle is equal to half of the length of one side of the square and the length of another side of the rectangle is equal to $\frac{1}{3}$rd of the length of the first side of the rectangle. What is the area of the portion of the square that remained after the rectangle was cut out?

Option 1: $\frac{7}{8} p^2$

Option 2: $\frac{3}{4} p^2$

Option 3: $\frac{11}{12} p^2$

Option 4: $\frac{15}{16} p^2$

Question : A circle is inscribed in an equilateral triangle and a square is inscribed in that circle. The ratio of the areas of the triangle and the square are:

Option 1: $\sqrt3:4$

Option 2: $\sqrt3:8$

Option 3: $3\sqrt3:2$

Option 4: $3\sqrt3:1$

Question : The value of $\left[\frac{1}{4}\right.$ of $\left.18 \div \frac{6}{5} \text{of}\left(\frac{1}{8}+\frac{7}{4}\right)\right] \times \frac{1}{15}$ is:

Option 1: $\frac{2}{15}$

Option 2: $\frac{6}{7}$

Option 3: $\frac{5}{8}$

Option 4: $\frac{4}{5}$

Question : Evaluate: $6+6$ of $6 \div 6-\frac{6}{5}$

Option 1: $\frac{12}{5}$

Option 2: $\frac{54}{5}$

Option 3: $\frac{44}{5}$

Option 4: $\frac{6}{5}$

Question : $\frac{1}{2}$ of A = $\frac{2}{5}$ of B = $\frac{1}{3}$ of C, then A : B : C is:

Option 1: 4 : 5 : 6

Option 2: 6 : 4 : 5

Option 3: 4 : 6 : 5

Option 4: 5 : 4 : 6