Match the measuring feature with the corresponding measuring instrument in the table below. 
- P – 1 (Flatness error of a surface plate and Auto collimator): The Auto collimator is commonly used to measure the flatness of a surface plate. It can precisely measure small angular deviations by using the principle of parallel rays and reflections, which is ideal for measuring flatness.
- Q – 3 (Profile of a cam and Dividing head and dial gauge): A Dividing head and dial gauge is used for measuring the profile of a cam. The dividing head helps in dividing a circle into equal parts and measuring angular displacement while the dial gauge measures the exact profile.
- R – 4 (Alignment error of a machine tool slide way and Optical interferometer): An Optical interferometer is used for measuring very small linear displacements and alignment errors, making it ideal for checking the alignment of machine tool slideways.
- S – 2 (Pitch and angle errors of screw thread and Tool maker’s microscope): The Tool maker’s microscope is used to measure pitch and angle errors of screw threads. It is equipped with high precision optics, making it suitable for detailed measurement of thread profiles. Thus, option (B) is correct.
The zero line of the Vernier scale lies between divisions 20 and 21 of the main scale. The 4th Vernier scale division exactly coincides with a main scale division. The 5 divisions of the Vernier scale are equal to 4 divisions of the main scale. If one main scale division is 1 mm, the measured value (in mm) is ........... (Rounded off to one decimal place)}
The table shows the data of running a machine for five years. The original machine cost is Rupees 70,000. In order to minimize the average total cost per year for running the machine, the machine should be replaced after ............. years. (Answer in integer) 
A company purchases items in bulk for getting quantity discounts in the item’s price. The price break-up is given in the table. The annual demand for the item is 5000 units. The ordering cost is Rupees 400 per order. The annual inventory carrying cost is 30 percent of the purchase price per unit. The optimal order size (in units) is .......... (Answer in integer) 
Three plants P1, P2, and P3 produce 6, 1, and 9 thousand liters of fruit juice, respectively. The produced fruit juice is transported to three distribution centers D1, D2, and D3 with a requirement of 7, 5, and 4 thousand liters of juice, respectively. The transportation cost (in hundreds of Rupees) from each plant to each distribution center is given in the table. The total transportation cost (in hundreds of Rupees) in the initial basic feasible solution using Vogel’s approximation method is ............. (Answer in integer) 