Question : The length of a rectangle is increased by 10% and breadth is decreased by 10%. The area of the new rectangle is:

Option 1: neither increased nor decreased.

Option 2: increased by 1%.

Option 3: decreased by 2%.

Option 4: decreased by 1%.

Question : If each side of a square is decreased by 17%, then by what percentage does its area decrease?

Option 1: 25%

Option 2: 30.79%

Option 3: 31.11%

Option 4: 44.31%

Question : If the area of a square is increased by 44%, retaining its shape as a square, each of its sides increases by:

Option 1: 19%

Option 2: 21%

Option 3: 22%

Option 4: 20%

Question : The area of a circle is the same as the area of a square. What is the ratio of the diameter of the circle and the diagonal of the square?

Option 1: $1:\sqrt{\pi }$

Option 2: $2:\sqrt{\pi }$

Option 3: $\sqrt{2}:\sqrt{\pi }$

Option 4: $1:{\pi }$

Question : If the perimeter of a square is $80\;\mathrm{cm}$, then what is the diagonal (in $\mathrm{cm}$) of the square?

Option 1: $20\sqrt{2}$

Option 2: $40\sqrt{2}$

Option 3: $80\sqrt{2}$

Option 4: $20$