Let f(x) = x – [x], where x ≥ 0 and [x] is the greatest integer not larger than x. Then f(x) is a

linearly decreasing function between two integers

monotonically increasing function

monotonically decreasing function

linearly increasing function between two integers

linearly decreasing function between two integers

All professors are researchers Some scientists are professors Which of the given conclusions is logically valid and is inferred from the above arguments:

Some researchers are scientists

Mahatama Gandhi was known for his humility as

he played an important role in humiliating exit of British from India.

he worked for humanitarian causes.

he displayed modesty in his interactions.

The gridiron pipe drainage system is more economical than the herringbone pipe drainage system because

it has only main or sub-main lines

it is adopted in the fields which do not require complete drainage

the number of main or sub-main lines is reduced

the number of junctions and the double-drained area are reduced

it has only main or sub-main lines

A two-wheel drive tractor, while negotiating a terrain, indicates 100% slip of one of the rear wheels. Under such a condition, the use of differential lock causes

equal speed and equal power distribution to both the drive wheels

equal speed and equal torque distribution to both the drive wheels

equal power and equal torque distribution to both the drive wheels

equal speed and unequal power distribution to both the drive wheels

In restrained link operation of three point hitches, the line of pull passes

below the virtual hitch point and no bending force exists on lower links

through the virtual hitch point and bending force exists on lower links

above the virtual hitch point and bending force exists on lower links

below the virtual hitch point and no bending force exists on lower links

through the virtual hitch point and tensile force exists on lower links

91 + Mcqs in GATE-2017 in Graduate Aptitude Test (GATE) Page 1 McqOptions

1.	Hiroshima Peace Memorial Museum in Japan has been designed by
A.	Kenzo Tange
B.	Kisho Kurokawa
C.	Tadao Ando
D.	I M Pei
Answer» B. Kisho Kurokawa

Discussion

2.	Pritzker Architecture Prize 2013 has been awarded to
A.	Mario Botta
B.	Toyo Ito
C.	Rem Koolhaas
D.	Arata Isozaki
Answer» C. Rem Koolhaas

Discussion

3.	Let f(x) = x – [x], where x ≥ 0 and [x] is the greatest integer not larger than x. Then f(x) is a
A.	monotonically increasing function
B.	monotonically decreasing function
C.	linearly increasing function between two integers
D.	linearly decreasing function between two integers
Answer» D. linearly decreasing function between two integers

Discussion

4.	Crop management system reduces the:
A.	Detachment of soil particles
B.	Transport of soil particles
C.	Both (a) & (b)
D.	None of these
Answer» D. None of these

Discussion

5.	Grassed waterways are used as:
A.	Diversion channels
B.	Outlets
C.	Inlet to terrace system
D.	All are correct
Answer» C. Inlet to terrace system

Discussion

6.	The land holding of large farmer is:
A.	Less than 4 ha land
B.	Less than 4 ha land
C.	Less than 10 ha land
D.	More than 10 ha
Answer» E.

Discussion

7.	The land holding of small farmer is
A.	Less than 4 ha land
B.	Less than 10 ha land
C.	More than 4 ha land
D.	More than 10 ha land
Answer» B. Less than 10 ha land

Discussion

8.	Two wind mills equivalent to:
A.	1.0 hp
B.	1.25 hp
C.	1.5 hp
D.	2.0 hp
Answer» B. 1.25 hp

Discussion

9.	A pair of bullock develops power equivalent to:
A.	0.5 hp
B.	1.0 hp
C.	1.5 hp
D.	2.0 hp
Answer» C. 1.5 hp

Discussion

10.	A ten human power equals to:
A.	0.1 hp
B.	0.5 hp
C.	1.0 hp
D.	10.0 hp
Answer» D. 10.0 hp

Discussion

11.	The power produced from a wind speed 6.4 to 37 km ph by windmill varies from:
A.	0.1 to 0.5 hp
B.	0.1 to 0.9 hp
C.	0.5 to 1 hp
D.	1 to 9 hp
Answer» C. 0.5 to 1 hp

Discussion

12.	Bench terracing is also called as:
A.	Hill farming
B.	Staircase farming
C.	Erosion control farming
D.	None of these
Answer» C. Erosion control farming

Discussion

13.	The velocity required to operate wind mill is more than:
A.	5 km ph
B.	10 km ph
C.	5 miles per hour
D.	10 miles per hour
Answer» C. 5 miles per hour

Discussion

14.	Broad base terrace is also known as:
A.	Bench terrace
B.	Channel terrace
C.	Drainage type terrace
D.	None of these
Answer» D. None of these

Discussion

15.	The extra high speed engines used in knapsack sprayers are powered by:
A.	Kerosene
B.	Diesel
C.	Petrol
D.	Dual fuel
Answer» D. Dual fuel

Discussion

16.	The thermal efficiency of petrol engine varies between:
A.	25 and 32 per cent
B.	30 and 35 per cent
C.	32 and 38 per cent
D.	30 to 40 percent
Answer» B. 30 and 35 per cent

Discussion

17.	The thermal efficiency of diesel engine varies between:
A.	25 and 32 per cent
B.	32 and 38 per cent
C.	32 and 40 per cent
D.	40 and 45 per cent
Answer» C. 32 and 40 per cent

Discussion

18.	Medium size bullock can develop:
A.	0.50 to 0.75 hp
B.	0.75 to 1.0 hp
C.	0.75 hp to 1.1 hp
D.	1.0 to 1.5 hp
Answer» B. 0.75 to 1.0 hp

Discussion

19.	The average force that a bullock can exert:
A.	1/5th of their body weight
B.	1/10th of their body weight
C.	1/20th of their body weight
D.	1/25th of their body weight
Answer» C. 1/20th of their body weight

Discussion

20.	A man can develop:
A.	0.1 hp
B.	0.5 hp
C.	0.75 hp
D.	1.0 hp
Answer» B. 0.5 hp

Discussion

21.	All professors are researchers Some scientists are professors Which of the given conclusions is logically valid and is inferred from the above arguments:
A.	All scientists are researchers
B.	All professors are scientists
C.	Some researchers are scientists
D.	No conclusion follows
Answer» D. No conclusion follows

Discussion

22.	If \|−2ܺ + 9\| = 3 then the possible value of \|−ܺ\| − ܺ ଶ would be:
A.	30
B.	-30
C.	-42
D.	42
Answer» C. -42

Discussion

23.	In a factory, two machines M1 and M2 manufacture 60% and 40% of the autocomponents respectively. Out of the total production, 2% of M1 and 3% of M2 are found to be defective. If a randomly drawn autocomponent from the combined lot is found defective, what is the probability that it was manufactured by M2?
A.	0.35
B.	0.45
C.	0.5
D.	0.4
Answer» D. 0.4

Discussion

24.	Velocity of an object fired directly in upward direction is given by ܸ = 80 − 32 ݐ ,where ݐ) time) is in seconds. When will the velocity be between 32 m/sec and 64 m/sec?
A.	(1, 3/2)
B.	(1/2, 1)
C.	(1/2, 3/2)
D.	(1, 3)
Answer» D. (1, 3)

Discussion

25.	Select the pair that best expresses a relationship similar to that expressed in the pair: water: pipe::
A.	cart: road
B.	electricity: wire
C.	sea: beach
D.	music: instrument
Answer» C. sea: beach

Discussion

26.	Mahatama Gandhi was known for his humility as
A.	he played an important role in humiliating exit of British from India.
B.	he worked for humanitarian causes.
C.	he displayed modesty in his interactions.
D.	he was a fine human being.
Answer» D. he was a fine human being.

Discussion

27.	The Headmaster ___________ to speak to you. Which of the following options is incorrect to complete the above sentence?
A.	is wanting
B.	wants
C.	want
D.	was wanting
Answer» D. was wanting

Discussion

28.	A centrifugal pump having an overall efficiency of 75% requires 6 kW power at 1450 rpm to deliver water against a suction head of 5 m and a delivery head of 12 m. If the pump runs at 1650 rpm and frictional head losses are negligible, the total head developed by the pump in metres will be
A.	22.01
B.	25.05
C.	29.35
D.	31.72
Answer» B. 25.05

Discussion

29.	The flywheel of a hand operated chaff cutter with two cutting knives is rotated at 30 rpm and is connected to a worm gear assembly for driving the feed rollers. The number of teeth of the worm gear is 24 and number of starts (threads) of the worm is 2. If diameter of each of the feed rollers is 15 cm, the chaff length in mm will be
A.	9.8
B.	12.8
C.	19.6
D.	39.2
Answer» D. 39.2

Discussion

30.	A hemispherical vessel of 300 mm diameter is completely filled with oil and water. If the oil layer is 50 mm deep on the top, the volume of water in the vessel in litres is
A.	1.27
B.	3.73
C.	7.07
D.	14.14
Answer» C. 7.07

Discussion

31.	Box 1 contains 15 balls out of which 3 are red. Box 2 contains 12 balls out of which 4 are red. If one ball is drawn at random from each box simultaneously, the probability of getting at least one red ball is
A.	0.07
B.	0.47
C.	0.53
D.	0.75
Answer» C. 0.53

Discussion

32.	The Rational method is used to estimate
A.	runoff volume
B.	peak runoff rate
C.	runoff depth
D.	direct surface runoff
Answer» C. runoff depth

Discussion

33.	The pressure that does not have any measurable influence on the void ratio or shearing resistance of the soil mass is
A.	pore water pressure
B.	intergranular pressure
C.	capillary pressure
D.	surcharge pressure
Answer» B. intergranular pressure

Discussion

34.	A soil has a void ratio of 0.75 and a specific gravity of 2.66. The value of critical hydraulic gradient at which quick sand condition will occur is
A.	0.95
B.	1.05
C.	2.09
D.	6.64
Answer» B. 1.05

Discussion

35.	The gridiron pipe drainage system is more economical than the herringbone pipe drainage system because
A.	it is adopted in the fields which do not require complete drainage
B.	the number of main or sub-main lines is reduced
C.	the number of junctions and the double-drained area are reduced
D.	it has only main or sub-main lines
Answer» D. it has only main or sub-main lines

Discussion

36.	During land leveling of agricultural land for irrigation and drainage purposes, the acceptable deviation in elevation from the design value in metre is
A.	0.015
B.	0.025
C.	0.055
D.	0.150
Answer» B. 0.025

Discussion

37.	A double acting hydraulic cylinder has a rod diameter equal to one-half the piston diameter. If the system pressure is maintained constant, the ratio of load carrying capacity of extension stroke to that of retraction stroke is
A.	0.75
B.	1.00
C.	1.33
D.	4.00
Answer» D. 4.00

Discussion

38.	A two-wheel drive tractor, while negotiating a terrain, indicates 100% slip of one of the rear wheels. Under such a condition, the use of differential lock causes
A.	equal speed and equal power distribution to both the drive wheels
B.	equal speed and equal torque distribution to both the drive wheels
C.	equal power and equal torque distribution to both the drive wheels
D.	equal speed and unequal power distribution to both the drive wheels
Answer» E.

Discussion

39.	Poisson distribution having a mean of 5 will have √5 as
A.	median
B.	mode
C.	standard deviation
D.	variance
Answer» D. variance

Discussion

40.	If C = A × B , where A = 2i - j + 3k and B = i + 2j ; then C is
A.	-6i + 3j + 5k
B.	6i + 3j – 5k
C.	-6i + 2j + 3k
D.	6i + 2j + 5k
Answer» B. 6i + 3j – 5k

Discussion

41.	Choose the most appropriate word from the options given below to complete the following sentence. A person suffering from Alzheimer’s disease short-term memory loss.
A.	experienced
B.	has experienced
C.	is experiencing
D.	experiences
Answer» E.

Discussion

42.	View factor of a large cylinder of 10 cm in radius and 60 cm in length from a coaxial smaller cylinder of 5 cm radius and the same length is 0.34. View factor of the larger cylinder of itself (concave inner surface) is 0.25. The view factor of the larger cylinder with respect to either annular end is
A.	0.17
B.	0.29
C.	0.33
D.	0.42
Answer» C. 0.33

Discussion

43.	The back sight of 1.258 m was observed for the bench mark (BM) at reduced level (RL) of 48 m. The corresponding fore sight on the staff held vertically inverted to the underside of a bridge beam is 4.645 m. The RL at the underside of the bridge beam in m is
A.	44.613
B.	46.936
C.	51.581
D.	53.903
Answer» E.

Discussion

44.	In restrained link operation of three point hitches, the line of pull passes
A.	through the virtual hitch point and bending force exists on lower links
B.	above the virtual hitch point and bending force exists on lower links
C.	below the virtual hitch point and no bending force exists on lower links
D.	through the virtual hitch point and tensile force exists on lower links
Answer» C. below the virtual hitch point and no bending force exists on lower links

Discussion

45.	As per ASAE standards, the diameter of 1000 rpm-PTO shaft with 20 splines is
A.	30 mm
B.	35 mm
C.	40 mm
D.	45 mm
Answer» E.

Discussion

46.	The effective temperature (ET) scale developed in 1972 on the basis of a human model is
A.	Heart rate
B.	Blood pressure
C.	Psychological response
D.	Physiological response
Answer» E.

Discussion

47.	The ASAE-SAE standard for tractor 3-point hitches has been categorized as Category I to IV on the basis of
A.	maximum drawbar power
B.	maximum drawbar pull
C.	brake power of tractor engine
D.	maximum PTO power
Answer» B. maximum drawbar pull

Discussion

48.	The most suitable hydraulic structure for conveying water from higher elevation to lower elevation across the earthen bund is
A.	Drop structure
B.	Pipe drop structure
C.	Chute spillway
D.	Gabion structure
Answer» C. Chute spillway

Discussion

49.	The correct conditions for which the hydraulically efficient rectangular channel will deliver maximum discharge are P – depth of water is equal to half the breadth of channel Q – depth of water is equal to breadth of channel R – depth of water is equal to twice the breadth of channel S – hydraulic radius is equal to half the depth of water
A.	P and R
B.	P and Q
C.	P and S
D.	R and S
Answer» D. R and S

Discussion

50.	A watershed area of 1851 hectare has maximum distance of 7.12 km from the outlet to the farthest point on the divide line. The form factor of the watershed is
A.	2.60
B.	2.73
C.	0.365
D.	0.385
Answer» D. 0.385

Discussion

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

Hiroshima Peace Memorial Museum in Japan has been designed by

Pritzker Architecture Prize 2013 has been awarded to

Let f(x) = x – [x], where x ≥ 0 and [x] is the greatest integer not larger than x. Then f(x) is a

Crop management system reduces the:

Grassed waterways are used as:

The land holding of large farmer is:

The land holding of small farmer is

Two wind mills equivalent to:

A pair of bullock develops power equivalent to:

A ten human power equals to:

The power produced from a wind speed 6.4 to 37 km ph by windmill varies from:

Bench terracing is also called as:

The velocity required to operate wind mill is more than:

Broad base terrace is also known as:

The extra high speed engines used in knapsack sprayers are powered by:

The thermal efficiency of petrol engine varies between:

The thermal efficiency of diesel engine varies between:

Medium size bullock can develop:

The average force that a bullock can exert:

A man can develop:

All professors are researchers Some scientists are professors Which of the given conclusions is logically valid and is inferred from the above arguments:

If |−2ܺ + 9| = 3 then the possible value of |−ܺ| − ܺ ଶ would be:

Velocity of an object fired directly in upward direction is given by ܸ = 80 − 32 ݐ ,where ݐ) time) is in seconds. When will the velocity be between 32 m/sec and 64 m/sec?

Select the pair that best expresses a relationship similar to that expressed in the pair: water: pipe::

Mahatama Gandhi was known for his humility as

The Headmaster ___________ to speak to you. Which of the following options is incorrect to complete the above sentence?

A centrifugal pump having an overall efficiency of 75% requires 6 kW power at 1450 rpm to deliver water against a suction head of 5 m and a delivery head of 12 m. If the pump runs at 1650 rpm and frictional head losses are negligible, the total head developed by the pump in metres will be

A hemispherical vessel of 300 mm diameter is completely filled with oil and water. If the oil layer is 50 mm deep on the top, the volume of water in the vessel in litres is

Box 1 contains 15 balls out of which 3 are red. Box 2 contains 12 balls out of which 4 are red. If one ball is drawn at random from each box simultaneously, the probability of getting at least one red ball is

The Rational method is used to estimate

The pressure that does not have any measurable influence on the void ratio or shearing resistance of the soil mass is

A soil has a void ratio of 0.75 and a specific gravity of 2.66. The value of critical hydraulic gradient at which quick sand condition will occur is

The gridiron pipe drainage system is more economical than the herringbone pipe drainage system because

During land leveling of agricultural land for irrigation and drainage purposes, the acceptable deviation in elevation from the design value in metre is

A double acting hydraulic cylinder has a rod diameter equal to one-half the piston diameter. If the system pressure is maintained constant, the ratio of load carrying capacity of extension stroke to that of retraction stroke is

A two-wheel drive tractor, while negotiating a terrain, indicates 100% slip of one of the rear wheels. Under such a condition, the use of differential lock causes

Poisson distribution having a mean of 5 will have √5 as

If C = A × B , where A = 2i - j + 3k and B = i + 2j ; then C is

Choose the most appropriate word from the options given below to complete the following sentence. A person suffering from Alzheimer’s disease short-term memory loss.

The back sight of 1.258 m was observed for the bench mark (BM) at reduced level (RL) of 48 m. The corresponding fore sight on the staff held vertically inverted to the underside of a bridge beam is 4.645 m. The RL at the underside of the bridge beam in m is

In restrained link operation of three point hitches, the line of pull passes

As per ASAE standards, the diameter of 1000 rpm-PTO shaft with 20 splines is

The effective temperature (ET) scale developed in 1972 on the basis of a human model is

The ASAE-SAE standard for tractor 3-point hitches has been categorized as Category I to IV on the basis of

The most suitable hydraulic structure for conveying water from higher elevation to lower elevation across the earthen bund is

A watershed area of 1851 hectare has maximum distance of 7.12 km from the outlet to the farthest point on the divide line. The form factor of the watershed is