Explore topic-wise MCQs in Graduate Aptitude Test (GATE).

This section includes 91 Mcqs, each offering curated multiple-choice questions to sharpen your Graduate Aptitude Test (GATE) knowledge and support exam preparation. Choose a topic below to get started.

51.

The function f(x) represents a normal distribution whose standard deviation and mean are 1 and 5, respectively. The value of f(x) at x = 5 is

A. 0.0
B. 0.159
C. 0.282
D. 0.398
Answer» E.
52.

Fact 1: Humans are mammals. Fact 2: Some humans are engineers. Fact 3: Engineers build houses. If the above statements are facts, which of the following can be logically inferred? I. All mammals build houses. II. Engineers are mammals. III. Some humans are not engineers.

A. II only.
B. III only.
C. I, II and III.
D. I only.
Answer» C. I, II and III.
53.

(x % of y) + (y % of x) is equivalent to .

A. 2 % of xy
B. 2 % of (xy/100)
C. xy % of 100
D. 100 % of xy
Answer» B. 2 % of (xy/100)
54.

Choose the most appropriate set of words from the options given below to complete the following sentence. _________ ___________ is a will, _________ is a way

A. Wear, there, their
B. Were, their, there
C. Where, there, there
D. Where, their, their
Answer» D. Where, their, their
55.

He turned a deaf ear to my request. What does the underlined phrasal verb mean?

A. ignored
B. appreciated
C. twisted
D. returned
Answer» B. appreciated
56.

If I were you, I __________ that laptop. It’s much too expensive

A. won’t buy
B. shan’t buy
C. wouldn’t buy
D. would buy
Answer» D. would buy
57.

The speed reductions in the 1st low gear of a tractor gearbox and differential with final drive are 5:1 and 40:1, respectively. For the tractor developing 24 kW power at an engine rpm of 2000 with an overall power transmission efficiency of 80%, the total torque in kN m available at the wheel axle will be

A. 22.92
B. 28.64
C. 16.54
D. 18.33
Answer» E.
58.

In a reciprocating type mower, the maximum inertia force of 2.2 kN along the pitman occurs at 35 degree crank angle and 25 degree pitman angle with the horizontal plane. The crank radius is 50 mm and the equivalent mass at the crankpin is 2.5 kg. If the crank rotates at 600 rpm, the resultant force passing through the crankpin in kN will be

A. 2.25
B. 2.68
C. 2.98
D. 3.42
Answer» C. 2.98
59.

In a cascade refrigeration system, the COPs of the cooling cycle and cascade are 3.7 and 4.2, respectively. If tonnage (1 TR = 3.52 kW) of the cooling cycle is 15 and the cascade removes 70% of the total heat rejected in the liquid receiver of the cooling cycle, then the powers required by the cooling and cascade compressors in hp are _____ and ______, respectively.

A. 67.07, 46.95
B. 52.08, 39.35
C. 19.13, 14.99
D. 14.27, 11.18
Answer» D. 14.27, 11.18
60.

The connecting rod of an internal combustion engine is subjected to

A. compression only
B. tension only
C. both compression and tension
D. torsion only
Answer» D. torsion only
61.

The non-combustible constituents of the producer gas are

A. Carbon monoxide and Hydrogen
B. Hydrogen and Methane
C. Nitrogen and Carbon dioxide
D. Carbon monoxide and Nitrogen
Answer» D. Carbon monoxide and Nitrogen
62.

The correct statement in respect of rice parboiling process is

A. kernel structure becomes soft and it cooks easily
B. heat treatment during parboiling preserves some antioxidants
C. parboiled rice retains more proteins, vitamins and minerals
D. shelling of parboiled rice becomes more difficult
Answer» D. shelling of parboiled rice becomes more difficult
63.

The efficiency of a cyclone separator can be increased by

A. decreasing the size of the particles
B. increasing the velocity of inlet air
C. reducing the length of the separator
D. reducing the diameter of air outlet
Answer» C. reducing the length of the separator
64.

Mole drain is the most suitable drainage system for

A. heavy clay soil
B. loamy soil
C. sandy soil
D. silty soil
Answer» B. loamy soil
65.

An unsteady time-drawdown pumping test was conducted in a confined aquifer and the drawdown was measured with time in an observation well located at a certain distance away from the pumping well. Using these time-drawdown data, we can determine

A. transmissivity only
B. storage coefficient only
C. specific storage only
D. both transmissivity and storage coefficient
Answer» E.
66.

Dupuit-Forchheimer assumptions are used for analyzing groundwater flow in

A. confined aquifers
B. leaky confined aquifers
C. unconfined aquifers
D. both confined and unconfined aquifers
Answer» D. both confined and unconfined aquifers
67.

The USDA classification of irrigation water with regard to alkali and salinity hazards is based on

A. Exchangeable sodium percentage and pH
B. Electrical conductivity and Sodium adsorption ratio
C. Electrical conductivity and pH
D. Sodium percentage and pH
Answer» C. Electrical conductivity and pH
68.

Discharge through an irrigation outlet is independent of the water levels in the distributary and water courses in case of

A. non-modular outlet
B. semi-modular outlet
C. Kennedy’s gauge outlet
D. Gibb’s module outlet
Answer» E.
69.

The incorrect statement from the following is

A. The peak runoff from an agricultural watershed is generally less than that from an urban watershed of the same area
B. The horizontal hydraulic conductivity of soil is less than its vertical hydraulic conductivity
C. The magnitude of a 75-year flood is less than that of a 100-year flood
D. The rating curve due to an unsteady flood event forms a loop
Answer» C. The magnitude of a 75-year flood is less than that of a 100-year flood
70.

A two-wheel drive tractor weighing 18 kN has a wheel base 1.8 m. Its centre of gravity is located 600 mm ahead of the rear axle centre, under static condition, on a level ground. When this tractor is used to pull a disc plough hitched at a height of 390 mm from the ground, the draft observed is 6 kN. The change in reaction on rear wheels of the tractor due to pull in kN is

A. 1.30
B. 1.95
C. 3.90
D. 5.85
Answer» B. 1.95
71.

Match the following agricultural/food by-products in Column I with their respective value added products in Column II. Column I Column II P. Banana pseudostem 1. Silicon tetrachloride Q. Coconut shell 2. Protein food R. Meat waste 3. Starch S. Rice husk 4. Furfural

A. P-2, Q-3, R-1, S-4
B. P-3, Q-4, R-2, S-1
C. P-4, Q-3, R-2, S-1
D. P-3, Q-1, R-2, S-4
Answer» C. P-4, Q-3, R-2, S-1
72.

Which one of the following chemicals is NOT used for fumigation in either horizontal or vertical storage structures to kill insects?

A. Methyl bromide
B. Phosphine
C. Phostoxin
D. Silver sulphate
Answer» E.
73.

In refining of the rice bran oil for edible purpose, neutralization process is carried out mainly to remove

A. wax and organic impurities
B. gums and mucilage
C. saturated glycerides
D. free fatty acids
Answer» E.
74.

Which one of the following statements related to parboiling of paddy is NOT correct?

A. Irreversible granule swelling occurs during heating.
B. Parboiling process is used to salvage wet or damaged paddy.
C. Parboiled rice takes less time to cook as compared to raw rice due to starch gelatinization.
D. Milling yield of paddy increases due to starch gelatinization.
Answer» D. Milling yield of paddy increases due to starch gelatinization.
75.

Log mean temperature difference (LMTD) correction factor (F) is applicable to

A. Spiral tube heat exchanger
B. Steam jacketed kettle
C. Plate heat exchanger
D. Evaporator tubes
Answer» D. Evaporator tubes
76.

If the departure and latitude of a line during Theodolite survey are 70.03 m and -100 m, respectively, the whole circle bearing of this line in degree is

A. 55
B. 125
C. 135
D. 145
Answer» E.
77.

Which one of the following is a WRONG statement?

A. The head generated by a centrifugal pump at zero discharge is the ‘shutoff head’.
B. To avoid cavitation in centrifugal pumps, the net positive suction head should be more than the theoretical atmospheric pressure.
C. According to the affinity laws of centrifugal pumps, the head varies with the square of the impeller speed.
D. Most of the turbine pumps have operational characteristics closer to those of the centrifugal pumps than the propeller pumps.
Answer» C. According to the affinity laws of centrifugal pumps, the head varies with the square of the impeller speed.
78.

If the void ratio of a soil column is 0.43, the soil porosity is

A. 0.30
B. 0.40
C. 0.70
D. 0.75
Answer» B. 0.40
79.

The discharge from a sprinkler nozzle depends on

A. operating pressure and nozzle geometry.
B. operating pressure and distribution pattern.
C. application rate and nozzle angle.
D. operating pressure and application rate.
Answer» B. operating pressure and distribution pattern.
80.

The depths from the soil surface to subsurface tile drains, impermeable soil layer and the highest water table are measured as 2.8 m, 5.0 m and 0.8 m, respectively. The effective hydraulic head for drainage in meter is

A. 0.8
B. 2.0
C. 2.2
D. 4.2
Answer» C. 2.2
81.

One of the key assumptions made by Dupuit-Forchheimer about the flow behavior in the porous medium towards subsurface drains is

A. homogeneous medium
B. isotropic medium
C. horizontal streamlines
D. uniform recharge
Answer» D. uniform recharge
82.

During field evaluation of a combine harvester, total grain collected at the grain tank was 135 kg. Amount of threshed grain found over walker and shoe were 0.65 kg and 2.4 kg, respectively. Unthreshed grain lost with straw and chaff were 4.54 kg and 0.28 kg, respectively. Threshing efficiency of the combine harvester in percent is

A. 94.37
B. 94.49
C. 96.50
D. 96.63
Answer» E.
83.

For a two-wheel drive tractor, use of differential lock in adverse field condition ensures

A. equal distribution of torque to both the drive wheels.
B. equal distribution of power to both the drive wheels.
C. distribution of higher amount of torque to the wheel under poor traction.
D. distribution of higher amount of torque to the wheel under better traction.
Answer» E.
84.

For accepting or rejecting a null hypothesis, which one of the following is NOT used as a significance test method in statistics?

A. Z-test
B. Student’s t-test
C. Pearson’s correlation
D. Relative standard deviation
Answer» E.
85.

To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test?

A. 30,000
B. 2,70,000
C. 3,90,000
D. 4,20,000
Answer» E.
86.

A set of 4 parallel lines intersect with another set of 5 parallel lines. How many parallelograms are formed?

A. 20
B. 48
C. 60
D. 72
Answer» D. 72
87.

An automobile travels from city A to city B and returns to city A by the same route. The speed of the vehicle during the onward and return journeys were constant at 60 km/h and 90 km/h, respectively. What is the average speed in km/h for the entire journey?

A. 72
B. 73
C. 74
D. 75
Answer» B. 73
88.

Arrange the following three-dimensional objects in the descending order of their volumes: (i) A cuboid with dimensions 10 cm, 8 cm and 6 cm (ii) A cube of side 8 cm (iii) A cylinder with base radius 7 cm and height 7 cm (iv) A sphere of radius 7 cm

A. (i), (ii), (iii), (iv)
B. (ii), (i), (iv), (iii)
C. (iii), (ii), (i), (iv)
D. (iv), (iii), (ii), (i)
Answer» E.
89.

The area of an equilateral triangle is √3. What is the perimeter of the triangle?

A. 2
B. 4
C. 6
D. 8
Answer» D. 8
90.

“In spite of being warned repeatedly, he failed to correct his _________ behaviour.” The word that best fills the blank in the above sentence is

A. rational
B. reasonable
C. errant
D. good
Answer» D. good
91.

“When she fell down the _______, she received many _______ but little help.” The words that best fill the blanks in the above sentence are

A. stairs, stares
B. stairs, stairs
C. stares, stairs
D. stares, stares
Answer» B. stairs, stairs