Production And Industrial Engineering - PI 2014 GATE Paper (Practice Test) - GATE MCQ

In any given year, the probability of an earthquake greater than Magnitude 6 occurring in the Garhwal Himalayas is 0.04. The average time between successive occurrences of such earthquakes is ____ years.

(Important - Enter only the numerical value in the answer)

The population of a new city is 5 million and is growing at 20% annually. How many years would it take to double at this growth rate?

Q. 6 – Q. 10 carry two marks each.

Q. In a group of four children, Som is younger to Riaz. Shiv is elder to Ansu. Ansu is youngest in the group.

Which of the following statements is/are required to find the eldest child in the group?

Statements

1. Shiv is younger to Riaz.

2. Shiv is elder to Som.

Moving into a world of big data will require us to change our thinking about the merits of exactitude. To apply the conventional mindset of measurement to the digital, connected world of the twenty-first century is to miss a crucial point. As mentioned earlier, the obsession with exactness is an artefact of the information-deprived analog era. When data was sparse, every data point was critical, and thus great care was taken to avoid letting any point bias the analysis.
 

From “BIG DATA” Viktor Mayer-Schonberger and Kenneth Cukier

The main point of the paragraph is:

The total exports and revenues from the exports of a country are given in the two pie charts below. The pie chart for exports shows the quantity of each item as a percentage of the total quantity of exports. The pie chart for the revenues shows the percentage of the total revenue generated through export of each item. The total quantity of exports of all the items is 5 lakh tonnes and the total revenues are 250 crore rupees. What is the ratio of the revenue generated through export of Item 1 per kilogram to the revenue generated through export of Item 4 per kilogram?

X is 1 km northeast of Y. Y is 1 km southeast of Z. W is 1 km west of Z. P is 1 km south of W. Q is 1 km east of P. What is the distance between X and Q in km?

10% of the population in a town is HIV⁺. A new diagnostic kit for HIV detection is available; this kit correctly identifies HIV⁺ individuals 95% of the time, and HIV⁻ individuals 89% of the time. A particular patient is tested using this kit and is found to be positive. The probability that the individual is actually positive is _______

Q. 11 – Q. 35 carry one mark each.

The system of equations, given below, has

x+2y+4z=2
4x+3y+z=5
3x+2y+3z=1

Directional derivative of φ = 2xz − y² , at the point (1, 3, 2), becomes maximum in the direction of

A metallic sphere of 0.1 m diameter has a thermal conductivity of 10 W/m-K. If the fluid flowing around it has a heat transfer coefficient of 10 W/m²-K and thermal conductivity of 0.4 W/m-K, the value of Biot number is ______

(Important - Enter only the numerical value in the answer)

A quantitative measure of maintainability is

Which one of the following techniques is used to analyze the cause and effect of product failure?

As the product passes through different stages of product life cycle, the product variety

A machine has been purchased for Rs.100,000 and its useful life is estimated to be 10 years. Its scrap value at the end of 10 years is estimated as Rs.20,000. If the depreciation is determined using the declining balance method, the value of depreciation (in Rs.) during the first year is _______

(Important - Enter only the numerical value in the answer)

A company wants to determine the proportion of time workers are idle. In a pilot study, the proportion of idle time was found to be 0.16. If the company wants to be 95% confident (z-value = 1.96) that the estimated value is within 0.03 of the true proportion, the number of observations required in the study should be _______

(Important - Enter only the numerical value in the answer)

A manufacturing plant, working in 2 shifts of 8 hrs each, produces 30,000 switch boards using a set of 7 workstations in series. The cycle time, in seconds, is _______

(Important - Enter only the numerical value in the answer)

A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were determined to be 80 and 12, respectively. The standard error of mean is _______

(Important - Enter only the numerical value in the answer)

The diameter of a shaft must be within a tolerance of 0.02 of the nominal diameter. Which control chart is useful to determine that the process is in statistical control?

Which one of the following is not a characteristic of JIT manufacturing system?

Relationship between Young’s Modulus (E), Shear Modulus (G), and Poisson’s Ratio (μ), for a material obeying the Hooke’s Law, is

For a metal alloy, which one of the following descriptions relates to the stress-relief annealing process?

Generative Approach of Computer Aided Process Planning is NOT based on

(i) part coding using Group Technology

(ii) part feature recognition and extraction

(iii) database of standard process plans for part families

(iv) geometric modelling of part

Which one of the following methods is NOT used for producing metal powders?

In an open loop, point-to-point controlled CNC drilling machine, a stepper motor, producing 200 angular steps per revolution, drives the table of a drilling machine by one angular step per each pulse generated by a pulse generator (shown in figure). Each angular step moves the table by one Basic Length Unit (BLU) along X axis with a lead screw having a pitch of 4 mm. If the frequency of pulse generator is doubled, the BLU will

A spindle speed of 300 rpm and a feed of 0.3 mm/revolution are chosen for longitudinal turning operation on an engine lathe. In finishing pass, roughness on the work surface can be reduced by

Chills are used in casting moulds to

A moving mandrel is used in