
A cylindrical workpiece is turned using two different tools. Tool 1 has zero nose radius; the side and end cutting edge angles are \(20^\circ\) and \(10^\circ\), respectively. Tool 2 has a 0.5 mm nose radius. Both tools machine at a feed of \(0.2\ \text{mm/rev}\). The ratio of the ideal maximum height of unevenness on the surface produced by Tool 1 to that produced by Tool 2 is \(\underline{\hspace{2cm}}\) (round off to one decimal place).
Courage : Bravery :: Yearning :
Select the most appropriate option to complete the analogy.
In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1, 2, and 3, respectively. Which one among the given options is the most appropriate combination of \( P \), \( Q \), and \( R \)?

A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius \( r \) cm as shown in the figure. The side of the dodecagon is \( d \) cm. All the triangles (numbered 1 to 12 in the figure) are used to form squares of side \( r \) cm, and each numbered triangle is used only once to form a square. The number of squares that can be formed and the number of triangles required to form each square, respectively, are:

The number of patients per shift (X) consulting Dr. Gita in her past 100 shifts is shown in the figure. If the amount she earns is ₹1000(X - 0.2), what is the average amount (in ₹) she has earned per shift in the past 100 shifts?
