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Production & Industrial Engineering GATE Preparation

Quiz Your Learning: 

1. The mean time to repair (MTTR) for a repairable system is 30 minutes. When maintenance time changes from 20 minutes to 40 minutes, the net increase in maintainability is closest to

(A) 0.15 

(B) 0.25 

(C) 0.45 

(D) 0.60


2. A 20 mm HSS drill with a point angle of 118 ̊ is used for drilling a through-hole on a metallic plate of thickness 100 mm with a cutting speed of 333.33 mm/s and feed of 0.22 mm/rev. Assuming that the drill is touching the surface of the plate at the start, the drilling time (in s) is closest to

(A) 85 

(B) 90 

(C) 96 

(D) 100



3. An acceptance sampling plan is selected with sample size n = 80, acceptance number c = 2 for a lot size of 10,000 units. The probability of accepting the lot is based on Poisson distribution. Assuming rectification inspection, if incoming lot quality p is 0.03 and mean (λ) is 2.4, the average outgoing quality (AOQ) is closest to

(A) 0.0011 

(B) 0.0087 

(C) 0.0170 

(D) 0.0338



4. The SQC chart based on Binomial distribution is

(A) p chart

(B) c chart

(C) X chart

(D) R chart



5. The correct statement pertaining to the friction welding process is

(A) Heat affected zone is not formed

(B) Flashes are not produced

(C) Dissimilar materials cannot be joined

(D) Melting of the base material(s) is not involved



6. The process used for producing continuous insulation coating on an electrical wire is

(A) Extrusion

(B) Injection molding

(C) Blow molding

(D) Deep drawing



 A firm, with a production target of 50,000 units/year, has the following data for the selection of a new location for its plant

Location     Fixed cost (Rs.)     Variable costs per unit (Rs.)

P                 110,000                     2

Q                 95,000                     2.5

R                 80,000                       3

S                 75,000                      3.5


7. The most economical location for the firm is

(A) P 

(B) Q 

(C) R 

(D) S



8. The man-hours required (Tn ) to manufacture the nth unit in a plant is given by  Tn = T1 n^(b), where b= - 0.322 at the 80% learning rate. If the manufacturing time for the first unit (T1) is 80 man-hours, the total time (in man-hours) required to manufacture the first 4 units, at 80% learning rate, is

(A) 322.11 

(B) 251.35 

(C) 103.76 

(D) 51.19



9. A sand casting process has a mold constant of 2 s/mm2 and solidification exponent of 2. If the solidification time is to be doubled for a given unit volume of material, the corresponding reduction in the cast surface area (in %) is ______



10. During a turning operation of a specific work material having shear strength of 220 MPa under orthogonal cutting condition, the process parameters are

Feed 0.2 mm/rev

Depth of cut 1 mm

Rake angle – 5 ̊

Given the chip thickness ratio as 0.5, friction angle as 49.2 ̊ and shear angle as 25.4 ̊, the feed force (in N) is ______



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