Previous Year Questions
1 paper · 65 questions — organised by subject with solutions and explanations.
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A product is an assembly of 5 different components. The product can be sequentially assembled in two possible ways. If the 5 components are placed in a box and these are drawn at random from the box,
If a constant force applied on an object P, displaces it by a distance , inclined at an angle θ to the direction of force , then the work done by the force is
Match the linear transformation matrices listed in the first column to their interpretations in the second column. P. 1. Stretch in the y-axis Q. 2. Uniform stretch in x and y-axes R. 3. Projection in
The solution to 6yy' – 25x = 0 represents a
The solution to x 2 y’’ + xy’ – y = 0 is
The function f (x) = x 2 = x + x + x + …x times, is defined
In numerical integration using Simpson’s rule, the approximating function in the interval is a
Q. The value of lim ( x,y ) → ( 0,0 )
The curve y = x 4 is -
Choose the statement where the underlined word is used correctly.
A coin is tossed thrice. Let X be the event that head occurs in each of the first two tosses. Let Y be the event that a tail occurs on the third toss. Let Z be the event that two tails occur in three
In the given figure angle Q is a right angle, PS:QS = 3:1, RT:QT = 5:2 and PU:UR = 1:1. If area of triangle QTS is 20 cm 2 , then the area of triangle PQR in cm 2 is ______.
Tanya is older than Eric. Cliff is older than Tanya. Eric is older than Cliff. If the first two statements are true, then the third statement is
Given below are two statements followed by two conclusions. Assuming these statements to be true, decide which one logically follows: Statements : I. No manager is a leader. II. All leaders are execut
Select the appropriate option in place of underlined part of the sentence. Increased productivity necessary reflects greater efforts made by the employees.
Fill in the blank with the correct idiom/phrase. That boy from the town was a __________ in the sleepy village.
Choose the appropriate word/phase, out of the four options given below, to complete the following sentence: Apparent lifelessness ___________ dormant life.
Right triangle PQR is to be constructed in the xy – plane so that the right angle is at P and line PR is parallel to the x-axis. The x and y coordinates of P, Q, and R are to be integers that sa
Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to be held to complete the league round of mat
If the principal stress values are 120 MPa, -50 MPa and 10 MPa in a given state of stress, then maximum shear stress in the material, in MPa is ________.
A metallic bar of uniform cross-section with specific weight of 100 kN/m 3 is hung vertically down. The length and Young’s modulus of the bar are 100 m and 200 GPa, respectively. The elongation
Consider a glass-fiber reinforced polymer material. The stress-strain curves of the fiber, matrix and composite are plotted in the figure. Which one of the following statements is TRUE?
A beam is loaded as shown in the figure. The bending moment, in kNm, at point R is __________.
In an off-set slider crank mechanism, shown in the figure, the crank is rotated at a constant speed of 150 rpm. The value of the angle θ shown in the figure is 20 . What is the ratio of forward
The room-temperature stress (σ) -strain (ϵ) curves of four materials P, Q, R, and S are shown in the figure below. The material that behaves as a rigid perfectly plastic material is
In a 1 m thick wall, the temperature distribution at a given instant is where T is in °C and x is in m. The constants are: C o = 800°C, C 1 = –250°C/m, and C 2 = –40°C/m 2
In a vertical piston-cylinder arrangement the force applied to the piston, pushes water through a nozzle as shown in the figure. The water flows out from the nozzle, and reaches the top of its traject
The value of (x 1 , x 2 ) for an optimal solution for Minimize Z = 6x 1 – 8x 2 Subject to 5x 1 + 10x 2 0, x 2 > 0 is
Which one of the following is NOT in the scope of the Enterprise Resource Planning (ERP) system?
Arrival of machines for repair in a maintenance shop follows a Poisson distribution at a rate of one per 18 hours. The time to repair follows an exponential distribution with Mean time to repair (MTTR
As per the principles of motion economy, which one of the following is NOT a pivot for a classified movement of human body?
A machine is bought for Rs. 25,00,000. The organization follows a declining balance method of depreciation with a depreciation charge of 25%. If the machine is sold at Rs.17,50,000 at the end of secon
A line balancing problem is solved in the context of
A manufacturing line requires 7.2 minutes to make a product. The line has six workstations arranged as per the required sequence of operations. Total production required is 300 products in 7.5 hours.
There are three alternatives to meet the demand of a product. Alternative I: Manufacture using a process P Alternative II: Manufacture using a process Q Alternative III: Buy the product from a vendor
Solution to the balanced assignment problem is binary due to
A single facility is to be located to meet the demand at coordinates (1, 2), (2, 3), (3, 5) and (4, 1). The demand at these points is 700, 100, 300 and 500 respectively. Using the rectilinear distance
In a time study experiment, observed time is 15 minutes, operator rating is 90, personal need allowance is 4%, fatigue allowance is 3%, contingency allowance for work is 3% and contingency allowance f
In a manufacturing process, 24 samples each of size 50 items were inspected and a total of 52 defective items were observed. The lower and upper control limits set for the p-chart should, respectively
If standard production is 20 units, a worker’s actual output is 18 units, piece rate is Rs. 500 per unit, and over-achievement rate is Rs. 750 per unit, then the wage paid to the worker, in Rs.,
In Computer Aided Process Planning, determination of process sequence for manufacture of any part design without predefined standard plans is known as
Material Requirements Planning DOES NOT include
For air travel over a distance of 500 km, the ticket price is Rs. 4000. The comfort of the air travel can be monetized at Rs.3000, and the monetary value of time saved because of air travel is Rs.3000
Ishikawa diagram represents
Data on five products to be processed on a single machine is given below. Product Release time Processing time Due date P 0 3 10 Q 2 4 9 R 0 2 15 S 1 5 11 T 1 1 13 For the processing sequence R-P-S-T-
In a metal casting process, molten copper alloy is poured into a sand mold. The level of molten metal in the pouring basin is at a height of 300 mm from the runner having a diameter of 10 mm. If the d
In a slab milling operation, a cutter of 75 mm diameter with sufficient width is used to remove 5 mm thick material from a 200 mm long part in a single pass. The minimum length of travel, in mm, for t
The true stress at fracture of a tensile tested specimen, having an initial diameter of 13 mm, is 700 MPa. If the diameter of specimen at fracture is 10 mm, then the engineering stress, in MPa, at fra
Built-up edge formation decreases under the conditions listed below EXCEPT
Two aluminum alloy plates each 10 mm thick and 1 m long are welded without crowning by multi-pass tungsten inert gas butt welding. The joint configuration is V-type with 60° angle and root gap is
In a drilling operation, a twist drill of 30 mm diameter with a point angle of 118 degrees is used. If the CNC command issued to execute the drilling operation is G90 G01 Z?? F20. The datum is defined
Which one of the following statements related to grinding process is INCORRECT ?
During the measurement of internal taper of a part using standard balls of diameter 15 mm & 20 mm, the large ball is found to protrude by 5 mm (h 1 ) & the top of the small ball is found to be 35 mm (
Match the items in the first column to their functions in the second column. P. Sprue 1. regulates the flow of molten metal into the mold cavity Q. Riser 2. feeds molten metal from the pouring basin R
Open die forging of a cylinder made of a rigid perfectly plastic material with the yield strength of 200 MPa having a height of 25 mm and diameter of 25 mm is being carried out. The cylinder is subjec
During turning of mild steel work material, the maximum temperature is observed at
A surface is prepared specially for an application with the profile as shown in the figure. The theoretical R a value for this surface, in μm, is ________.
The maximum reduction per pass during wire drawing of an aluminium alloy ignoring and friction and reduntant work is 77%. The strain hardening co-efficient of the material is ________.
The angle of twist drill that determines its rake angle is
A mould for injection moulding is designed for polymer P having a shrinkage of 0.010 mm/mm. A critical dimension needed in the moulded part is 35 mm. If the same mould is now used to make a similar pa
In a Flexible manufacturing system, the Automated Guided Vehicles (AGV) move at a speed of 50 m/min, cover an average distance of 150 m to deliver and 100 m for return. If the time required for pick-u
Which of the following DO NOT influence the material removal rate in the Electrical Discharge Machining process? (i) Hardness of workpiece material (ii) Melting temperature of workpiece material (iii)
For an assembly made of n components, the dimensions on each component i follow a normal distribution and have tolerance T i . Overall dimension of the assembly is L a with tolerance T a . The relatio
In an orthogonal machining experiment carried out using a cutting tool with zero degree rake angle, the measured cutting force was 1700 N. If the friction angle at the rake face-chip interface is 26&d
In rolling of a flat strip, the relative velocity of strip with respect to the roller is