Question 11. A metric thread of pitch 2 mm and thread angle 60° is inspected for its pitch diameter using 3-wire
method. The diameter of the best size wire in mm is

Question 12. Circular blanks of 10 mm diameter are punched from an aluminum sheet of 2 mm thickness. The
shear strength of aluminum is 80 MPa. The minimum punching force required in kN is

Question 13. The demand for soap at a retailer is 40 kg per day. The retailer buys soap from a company in bulk at the
cost of Rs. 50 per kg. The retailer incurs a cost of Rs. 200 to place an order to the company, and a holding
cost of Rs. 0.1 per kg per day to store the soap. The lead time between the placing and receiving of orders
is 3 days. The retailer's current ordering policy is to order 200 kg every 5 days. To avoid stock out situations, the retailer needs to place orders when the inventory level (in kg) drops to

Question 14. The demand for soap at a retailer is 40 kg per day. The retailer buys soap from a company in bulk at the
cost of Rs. 50 per kg. The retailer incurs a cost of Rs. 200 to place an order to the company, and a holding
cost of Rs. 0.1 per kg per day to store the soap. The lead time between the placing and receiving of orders
is 3 days. The retailer's current ordering policy is to order 200 kg every 5 days. If the retailer uses an optimum order policy to minimize the total cost, the saving in Rs. in the total
cost as compared to the current policy will be

Question 15. A disc of 200 mm outer and 80 mm inner diameter is faced at a feed of 0.1 mm/rev with a depth of cut of 1 mm. The facing operation is undertaken at a constant cutting speed of 90 m/min in a CNC lathe. The main (tangential) cutting force is 200 N. Neglecting the contribution of the feed force towards cutting power, the specific cutting energy in J/mm3 is

Question 16. A disc of 200 mm outer and 80 mm inner diameter is faced at a feed of 0.1 mm/rev with a depth of cut of
1 mm. The facing operation is undertaken at a constant cutting speed of 90 m/min in a CNC lathe. The main
(tangential) cutting force is 200 N. Assuming approach and over-travel of the cutting tool to be zero, the machining time in min is

Question 17. Find the sum of the expression 1/(√1 + √2) + 1/(√2 + √3) + 1/(√3 + √4) + ... + 1/(√80 + √81)

Question 18. The current erection cost of a structure is Rs. 13,200. If the labour wages per day increase by 1/5 of
the current wages and the working hours decrease by 1/24 of the current period, then the new cost
of erection in Rs. is

Question 19. After several defeats in wars, Robert Bruce went in exile and wanted to commit suicide. Just before
committing suicide, he came across a spider attempting tirelessly to have its net. Time and again,
the spider failed but that did not deter it to refrain from making attempts. Such attempts by the
spider made Bruce curious. Thus, Bruce started observing the near-impossible goal of the spider to
have the net. Ultimately, the spider succeeded in having its net despite several failures. Such act of
the spider encouraged Bruce not to commit suicide. And then, Bruce went back again and won
many a battle, and the rest is history. Which one of the following assertions is best supported by the above information?

Question 20. Out of all the 2-digit integers between 1 and 100, a 2-digit number has to be selected at random.
What is the probability that the selected number is not divisible by 7?