Production And Industrial Training - (PI) 2018 GATE Paper (Practice Test) - GATE MCQ

The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the following statements is true?

The value of the expression

Forty students watched films A, B and C over a week. Each student watched either only one film or all three. Thirteen students watched film A, sixteen students watched film B and nineteen students watched film C. How many students watched all three films?

A wire would enclose an area of 1936 m2, if it is bent into a square. The wire is cut into two pieces. The longer piece is thrice as long as the shorter piece. The long and the short pieces are bent into a square and a circle, respectively. Which of the following choices is closest to the sum of the areas enclosed by the two pieces in square meters?

A contract is to be completed in 52 days and 125 identical robots were employed, each operational for 7 hours a day. After 39 days, five-seventh of the work was completed. How many additional robots would be required to complete the work on time, if each robot is now operational for 8 hours a day?

A house has a number which needs to be identified. The following three statements are given that can help in identifying the house number.

i. If the house number is a multiple of 3, then it is a number from 50 to 59.
ii. If the house number is NOT a multiple of 4, then it is a number from 60 to 69.
iii. If the house number is NOT a multiple of 6, then it is a number from 70 to 79.

What is the house number?

An unbiased coin is tossed six times in a row and four different such trials are conducted.One trial implies six tosses of the coin. If H stands for head and T stands for tail, the following are the observations from the four trials:

(1) HTHTHT (2) TTHHHT (3) HTTHHT (4) HHHT__ __.

Which statement describing the last two coin tosses of the fourth trial has the highest probability of being correct?

Vector triple product a X (b X c) of three vectors a, b and c is given by

A real-valued function y of real variable x is such that  the function is

Considering the coordinate system shown in the figure, a force of magnitude 10 kN has x-component of -6 kN. Possible y-component (s) of the force is/are

When austenite decomposes upon cooling into two phases— ferrite and cementite, the reaction is called

Match the geometric tolerances with their correct symbols:

Which one of the following instruments makes use of the principle of interference of light?

In ASME process chart, the symbol represents

Which one of the following is the most appropriate control chart for measuring the variability of individual readings within a sample?

The machines and auxiliary facilities are located according to processing sequence of the product (produced in very large quantities) in

Which one of the following defects is NOT associated with the casting process?

In an oxy-acetylene gas welding process, oxygen and acetylene are mixed in a ratio of 1.5:1 (by volume). The flame is

Each of three firms P, Q and R manufactures 100 lakhs components. The number of defective components produced by P, Q and R are 30, 42 and 47, respectively. The firm(s) in conformance with Six Sigma standard is/are

To make holes of 0.5 mm diameter and 30 mm depth in a mild steel component, the most suitable process is

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

The process in which molten thermoplastic is forced between rolls to produce thin sheets is called 

The diagonal elements of a 3-by-3 matrix are -10, 5 and 0, respectively. If two of its eigenvalues are -15 each, the third eigenvalue is _______

Weights (in kg) of six products are 3, 7, 6, 2, 3 and 4. The median weight (in kg, up to one decimal place) is _______ 

The probabilities of occurrence of events F and G are P(F) = 0.3 and P(G) = 0.4, respectively. The probability that both events occur simultaneously is P(F∩G) = 0.2. The probability of occurrence of at least one event P(F∪G) is _______

A flywheel in the form of a solid circular disc of radius 100 mm and uniform thickness has a mass of 10 kg. If it is rotating at a uniform angular velocity of 20 rad/s, the kinetic energy (in J) of the flywheel is _______

A cylindrical wooden block of length 50 cm is floating in water in such a way that its axis is vertical. The densities of wood and water are 800 kg/m3 and 1000 kg/m³, respectively. The submerged depth, i.e., depth of immersion (in cm) of the cylinder is _______