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hi frnz..i appeared for GATE from mechanical branch.. as you all know the syllabus is tech+apti+engg. maths.. 65 qstns.. 100 marks.. 3 hrs.. 10 qstns of 15 marks maths.. 10 qstns of 15 marks apti..45 qstns of 70 marks tech.. you can find the full gate paper on IIT websites.. The paper was of moderate level... maths was easy.. apti was also easy.. tech was moderate.. some qstns were very easy.. and some were tough..Here are some of the qstns ..
Q.1 In abrasive jet machining, as the distance between the nozzle tip and the work surface increases, the material removal rate
(A) increases continuously.
(B) decreases continuously.
(C) decreases, becomes stable and then increases.
(D) increases, becomes stable and then decreases.
Q.4 During normalizing process of steel, the specimen is heated
(A) between the upper and lower critical temperature and cooled in still air.
(B) above the upper critical temperature and cooled in furnace.
(C) above the upper critical temperature and cooled in still air.
(D) between the upper and lower critical temperature and cooled in furnace.
Q.5 Oil flows through a 200 mm diameter horizontal cast iron pipe (friction factor, f = 0.0225) of length 500 m. The volumetric flow rate is 0.2 m3/s. The head loss (in m) due to friction is (assume g = 9.81 m/s2)
(A) 116.18
(B) 0.116
(C) 18.22
(D) 232.36
Q.8 The following are the data for two crossed helical gears used for speed reduction: Gear I : Pitch circle diameter in the plane of rotation 80 mm and helix angle 30º Gear II : Pitch circle diameter in the plane of rotation 120 mm and helix angle 22.5º If the input speed is 1440 rpm, the output speed in rpm is
(A) 1200
(B) 900
(C) 875
(D) 720
Q.10 A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same, the percentage change in the circumferential (hoop) stress is
(A) 0
(B) 1
(C) 1.08
(D) 2.02
Q.11 T he area enclosed between the straight line y = x and the parabola y = x2 in the x-y plane is
(A) 1/6
(B) 1/4
(C) 1/3
(D) 1/2
Q.13 Which one of the following is NOT a decision taken during the aggregate production planning stage?
(A) Scheduling of machines
(B) Amount of labour to be committed
(C) Rate at which production should happen
(D) Inventory to be carried forward
Q.15 A CNC vertical milling machine has to cut a straight slot of 10 mm width and 2 mm depth by a cutter of 10 mm diameter between points (0, 0) and (100, 100) on the XY plane (dimensions in mm). The feed rate used for milling is 50 mm/min. Milling time for the slot (in seconds) is
(A) 120
(B) 170
(C) 180
(D) 240
Q.16 A solid cylinder of diameter 100 mm and height 50 mm is forged between two frictionless flat dies to a height of 25 mm. The percentage change in diameter is
(A) 0
(B) 2.07
(C) 20.7
(D) 41.4
Q.30 A n incompressible fluid flows over a flat plate with zero pressure gradient. The boundary layer thickness is 1 mm at a location where the Reynolds number is 1000. If the velocity of the fluid alone is increased by a factor of 4, then the boundary layer thickness at the same location, in mm will be
(A) 4
(B) 2
(C) 0.5
(D) 0.25
Q.38 I n a single pass rolling process using 410 mm diameter steel rollers, a strip of width 140 mm and thickness 8 mm undergoes 10 % reduction of thickness. The angle of bite in radians is
(A) 0.006
(B) 0.031
(C) 0.062
(D) 0.600
Q.43 A solid circular shaft needs to be designed to transmit a torque of 50 N.m. If the allowable shear stress of the material is 140 MPa, assuming a factor of safety of 2, the minimum allowable design diameter in mm is
(A) 8
(B) 16
(C) 24
(D) 32
Statement for Linked Answer Questions 52 and 53: Air enters an adiabatic nozzle at 300 kPa, 500 K with a velocity of 10 m/s. It leaves the nozzle at 100 kPa with a velocity of 180 m/s. The inlet area is 80 cm2. The specific heat of air Cp is 1008 J/kg.K.
Q.52 T he exit temperature of the air is
(A) 516 K
(B) 532 K
(C) 484 K
(D) 468 K
Q.53 T he exit area of the nozzle in cm2 is
(A) 90.1
(B) 56.3
(C) 4.4
(D) 12.9
General Aptitude (GA) Questions
Q. 56 â Q. 60 carry one mark each.
Q.56 C hoose the most appropriate alternative from the options given below to complete the following sentence: Sureshâs dog is the one âââââââââ was hurt in the stampede.
(A) that
(B) which
(C) who
(D) whom
Q.57 T he cost function for a product in a firm is given by 5q2, where q is the amount of production. The firm can sell the product at a market price of 50 per unit. The number of units to be produced by the firm such that the profit is maximized is
(A) 5
(B) 10
(C) 15
(D) 25
Q.58 C hoose the most appropriate alternative from the options given below to complete the following sentence: Despite several âââââââââ the mission succeeded in its attempt to resolve the conflict.
(A) attempts
(B) setbacks
(C) meetings
(D) delegations
Q.59 W hich one of the following options is the closest in meaning to the word given below? Mitigate
(A) Diminish
(B) Divulge
(C) Dedicate
(D) Denote
Q.60 C hoose the grammatically INCORRECT sentence:
(A) They gave us the money back less the service charges of Three Hundred rupees.
(B) This countryâs expenditure is not less than that of Bangladesh.
(C) The committee initially asked for a funding of Fifty Lakh rupees, but later settled for a lesser sum.
(D) This countryâs expenditure on educational reforms is very less.
Q. 61 - Q. 65 carry two marks each.
Q.61 G iven the sequence of terms, AD CG FK JP, the next term is
(A) OV
(B) OW
(C) PV
(D) PW
Q.62 Wanted Temporary, Part-time persons for the post of Field Interviewer to conduct personal interviews to collect and collate economic data. Requirements: High School-pass, must be available for Day, Evening and Saturday work. Transportation paid, expenses reimbursed. Which one of the following is the best inference from the above advertisement?
(A) Gender-discriminatory
(B) Xenophobic
(C) Not designed to make the post attractive
(D) Not gender-discriminatory
Q.63 A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation y = 2x â 0.1x2 where y is the height of the arch in meters. The maximum possible height of the arch is
(A) 8 meters
(B) 10 meters
(C) 12 meters
(D) 14 meters
Q.64 A n automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplies 60% and Y supplies 40% of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of Xâs shock absorbers, 96% are reliable. Of Yâs shock absorbers, 72% are reliable. The probability that a randomly chosen shock absorber, which is found to be reliable, is made by Y is
(A) 0.288
(B) 0.334
(C) 0.667
(D) 0.720
Q.65 W hich of the following assertions are CORRECT? P: Adding 7 to each entry in a list adds 7 to the mean of the list Q: Adding 7 to each entry in a list adds 7 to the standard deviation of the list R: Doubling each entry in a list doubles the mean of the list S: Doubling each entry in a list leaves the standard deviation of the list unchanged
(A) P, Q
(B) Q, R
(C) P, R
(D) R, S
prepare well & all d bst.. :)
