$A$ circular wire of length $168 \text{ cm}$ is cut and bent in the form of a rectangle whose sides are in the ratio of $5:7$. What is the length (in $\text{cm}$) of the diagonal of the rectangle?

The radius of a right circular cylinder is increased by $50 \% .$ Find the percentage increase in volume (in $\%$)?

If '$x$' is the median (altitude) of an equilateral triangle,then its area is?

In the given figure,if $O$ is the centre of the circle,then find the value of $y$?

The cost of levelling a rectangular ground at $Rs. 1.25$ per $sq. metre$ is $Rs. 900$. If the length of the ground is $30$ $metres$,then the width is? (in $metres$)

The angles of a quadrilateral are in the ratio of $2: 4: 7: 5$. The smallest angle of the quadrilateral is equal to the smallest angle of a triangle. One of the angles of the triangle is twice the smallest angle of the triangle. What is the second largest angle of the triangle? (in $^o$)