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Question 1 · Mechanical Engineering (SSC JE) · Industrial Engineering, Metrology and Materials In a vernier caliper, 50 vernier divisions coincide with 49 main scale divisions, and one main scale division is 1 mm. The least count is
Choose your answer for question 1 A. 0.02 mm B. 0.05 mm C. 0.1 mm D. 0.01 mmAnswer and explanation Correct answer: A
LC = 1 MSD − 1 VSD = 1 − 49/50 = 0.02 mm.
Question 2 · Mechanical Engineering (SSC JE) · Industrial Engineering, Metrology and Materials In limits and fits, tolerance is
Choose your answer for question 2 A. the difference between the upper and lower limits of a dimension B. the difference between the sizes of mating parts C. the clearance between two parts D. the nominal size of a partAnswer and explanation Correct answer: A
It is the permissible variation in a dimension, whereas allowance is the intended difference between mating parts.
Question 3 · Mechanical Engineering (SSC JE) · Industrial Engineering, Metrology and Materials The Economic Order Quantity (EOQ) is given by
Choose your answer for question 3 A. 2DS / H B. √(DS / 2H) C. √(2DS / H) D. √(2H / DS)Answer and explanation Correct answer: C
D is annual demand, S the ordering cost per order and H the holding cost per unit per year.
Question 4 · Mechanical Engineering (SSC JE) · Industrial Engineering, Metrology and Materials Stainless steel contains a minimum chromium content of about
Choose your answer for question 4 A. 11 percent B. 5 percent C. 25 percent D. 2 percentAnswer and explanation Correct answer: A
About 10.5 to 11 percent chromium forms a thin self-healing chromium oxide layer, which resists corrosion.
Question 5 · Mechanical Engineering (SSC JE) · Industrial Engineering, Metrology and Materials A product has a fixed cost of ₹2,00,000, a selling price of ₹50 per unit and a variable cost of ₹30 per unit. The break-even quantity is
Choose your answer for question 5 A. 4 000 units B. 6 667 units C. 10 000 units D. 25 000 unitsAnswer and explanation Correct answer: C
BEP = fixed cost / (price − variable cost) = 2,00,000 / 20 = 10 000 units.
Question 6 · Mechanical Engineering (SSC JE) · Industrial Engineering, Metrology and Materials Which of the following is a thermosetting plastic?
Choose your answer for question 6 A. PVC B. Nylon C. Bakelite D. PolytheneAnswer and explanation Correct answer: C
Thermosets cure with heat into a rigid cross-linked network and cannot be remelted. Nylon, PVC and polythene are thermoplastics.
Question 7 · Mechanical Engineering (SSC JE) · Industrial Engineering, Metrology and Materials Slip gauges are used
Choose your answer for question 7 A. to measure surface roughness B. to measure angles only C. for checking the hardness of a part D. as standards of length for calibration and precision settingAnswer and explanation Correct answer: D
They are rectangular steel or ceramic blocks of accurately known thickness that can be wrung together to build a required length.
Question 8 · Mechanical Engineering (SSC JE) · Industrial Engineering, Metrology and Materials In statistical quality control, a p-chart is used to monitor
Choose your answer for question 8 A. the range of a measured dimension B. the number of defects per unit C. the fraction of defective items in a sample D. the mean of a measured dimensionAnswer and explanation Correct answer: C
It is an attribute chart. X-bar and R charts are used for measurable (variable) characteristics.
Question 9 · Mechanical Engineering (SSC JE) · Industrial Engineering, Metrology and Materials The normal time for a job is 10 minutes and a total allowance of 5 percent is given. The standard time is
Choose your answer for question 9 A. 9.5 min B. 0.5 min C. 10.5 min D. 9.52 minAnswer and explanation Correct answer: C
Standard time = normal time × (1 + allowance) = 10 × 1.05 = 10.5 min.
Question 10 · Mechanical Engineering (SSC JE) · Industrial Engineering, Metrology and Materials The normal time for a job is 3 minutes and a total allowance of 5 percent is given. The standard time is
Choose your answer for question 10 A. 3.15 min B. 2.85 min C. 2.86 min D. 0.15 minAnswer and explanation Correct answer: A
Standard time = normal time × (1 + allowance) = 3 × 1.05 = 3.15 min.
Question 11 · Mechanical Engineering (SSC JE) · Industrial Engineering, Metrology and Materials The upper and lower limits of a shaft dimension are 16.06 mm and 15.95 mm. The tolerance is
Choose your answer for question 11 A. 0.11 mm B. 16.005 mm C. 0.22 mm D. 32.01 mmAnswer and explanation Correct answer: A
Tolerance = upper limit − lower limit = 16.06 − 15.95 = 0.11 mm.
Question 12 · Mechanical Engineering (SSC JE) · Industrial Engineering, Metrology and Materials A firm has a fixed cost of ₹1,00,000, a selling price of ₹60 per unit and a variable cost of ₹25 per unit. The break-even volume is
Choose your answer for question 12 A. 3500000 units B. 1667 units C. 4000 units D. 2857 unitsAnswer and explanation Correct answer: D
BEP = F/(p − v) = 100000/(60 − 25) = 2857 units.
Question 13 · Mechanical Engineering (SSC JE) · Industrial Engineering, Metrology and Materials For an X̄ chart with n = 6 (A2 = 0.483), the grand mean is 20 and the mean range is 3. The lower control limit is
Choose your answer for question 13 A. 18.551 B. 29 C. 21.449 D. 20.483Answer and explanation Correct answer: A
LCL = X̄̄ − A2 R̄ = 20 − 0.483 × 3 = 18.551.
Question 14 · Mechanical Engineering (SSC JE) · Industrial Engineering, Metrology and Materials For an X̄ chart with n = 4 (A2 = 0.729), the grand mean is 20 and the mean range is 2. The upper control limit is
Choose your answer for question 14 A. 20.729 B. 18.542 C. 26 D. 21.458Answer and explanation Correct answer: D
UCL = X̄̄ + A2 R̄ = 20 + 0.729 × 2 = 21.458.
Question 15 · Mechanical Engineering (SSC JE) · Industrial Engineering, Metrology and Materials Two components with reliabilities 0.95 and 0.95 are connected in parallel. The system reliability is
Choose your answer for question 15 A. 0.9405 B. 0.95 C. 0.9025 D. 0.9975Answer and explanation Correct answer: D
R = 1 − (1 − R1)(1 − R2) = 1 − 0.05 × 0.05 = 0.9975.
Question 16 · Mechanical Engineering (SSC JE) · Industrial Engineering, Metrology and Materials Two components with reliabilities 0.98 and 0.9 are connected in parallel. The system reliability is
Choose your answer for question 16 A. 0.998 B. 0.94 C. 0.9702 D. 0.882Answer and explanation Correct answer: A
R = 1 − (1 − R1)(1 − R2) = 1 − 0.02 × 0.1 = 0.998.
Question 17 · Mechanical Engineering (SSC JE) · Industrial Engineering, Metrology and Materials The annual demand for an item is 1000 units, the ordering cost is ₹400 per order and the holding cost is ₹20 per unit per year. The economic order quantity is about
Choose your answer for question 17 A. 200 units B. 10 units C. 100 units D. 40000 unitsAnswer and explanation Correct answer: A
EOQ = √(2DS/H) = √(2 × 1000 × 400 / 20) = 200 units.
Question 18 · Mechanical Engineering (SSC JE) · Industrial Engineering, Metrology and Materials A vernier caliper has a main scale division of 1 mm and 100 vernier divisions equal to 99 main scale divisions. Its least count is
Choose your answer for question 18 A. 0.02 mm B. 0.005 mm C. 0.01 mm D. 0.1 mmAnswer and explanation Correct answer: C
LC = 1 MSD/N = 1/100 = 0.01 mm.
Question 19 · Mechanical Engineering (SSC JE) · Industrial Engineering, Metrology and Materials A firm has a fixed cost of ₹4,00,000, a selling price of ₹80 per unit and a variable cost of ₹30 per unit. The break-even volume is
Choose your answer for question 19 A. 16000 units B. 8000 units C. 20000000 units D. 5000 unitsAnswer and explanation Correct answer: B
BEP = F/(p − v) = 400000/(80 − 30) = 8000 units.
Question 20 · Mechanical Engineering (SSC JE) · Industrial Engineering, Metrology and Materials The upper and lower limits of a shaft dimension are 50.04 mm and 49.96 mm. The tolerance is
Choose your answer for question 20 A. 50 mm B. 100 mm C. 0.16 mm D. 0.08 mmAnswer and explanation Correct answer: D
Tolerance = upper limit − lower limit = 50.04 − 49.96 = 0.08 mm.