Select the number which can be placed at the sign of the question mark (?) from the given alternatives.
Working on column
28 –24 = 4; 42 = 16
40 – 32 = 8; 82 = 64
Similarly,
36 – 28 = 8; 82 = 64
Hence, option 64 is the correct answer.
Select the related number from the given alternatives.
434: 25:: 328:?
(Add even numbers – Add odd numbers)2
(4 + 4 - 3)2 = 25
Similarly,
(8 + 2 - 3)2 = 49
Hence, option 49 is the correct answer.
In the following question, the symbols ×, ÷, and + are used with the following meaning as illustrated below:
J + K means ‘J’ is the wife of ‘K,’
J × K means ‘J’ is the mother of ‘K.’
J ÷ K means ‘K’ is the sister of ‘J.’
If N + M÷P × Q, how is N related to Q?
Hence Aunt will be the correct answer.
From the given answer figures, select the one in which the question figure is hidden/embedded. (Rotation is not allowed)
Hence option 4 is the correct answer.
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
VSU, WTV, XUW,?
Hence, option YVX is the correct answer.
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
THR, UFS, VDT, ?
Hence, option WBU is the correct answer.
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
X, M, T, O, R, ?
Consecutive prime numbers are subtracted and added.
Hence, option P is the correct answer.
Select the odd word from the given alternatives.
Hence ‘Android’ is the correct answer.
Seven persons are seating around a circular table facing the centre. All persons are Asif, Bucky, Chirag, Dev, Esha, Farida, Gautam. Bucky is an immediate neighbour of Gautam and Farida. Dev is not an immediate neighbour of Chirag. Chirag sits second to the left of Gautam. Asif is an immediate neighbour of Chirag but not of Gautam.
Who sits second to the left of dev.?
2. Dev is not an immediate neighbour of Chirag Asif is an immediate neighbour of Chirag but not of Gautam
Bucky will sit second to the left of Dev
Hence Bucky has the correct answer.
Select the option in which the numbers share the same relationship as that shared by the given set of numbers.
56, 64, 72, 80
Similarly,
Series 91, 104, 117, 130 will be in the ratio of 7: 8 : 9: 10
Hence 91, 104, 117, 130 is the correct answer.
Select the correct mirror image of the given combination when the mirror is placed on the right side of it
We can see that the pictures are perfectly mirrored here.
Hence option 1 is the correct answer.
Select the related word from the given alternatives.
SAMSUNG: SOUTH KOREA:: MICROSOFT:?
Samsung is from South Korea.
Similarly,
Microsoft is a company from the United States.
Hence ‘United States’ is the correct answer.
Select the pair of odd numbers from the given alternatives.
To get the second number, add all the digits of the first number and then divide by 2.
5 + 8 + 3 = 16; 16 ÷ 2 = 8
2 + 6 + 6 = 14; 14 ÷ 2 = 7
6 + 6 + 8 = 20; 20 ÷ 2 = 10
9 + 2 + 7 = 18; 18 ÷ 2 = 9
Hence option 927 : 11 is odd among all four.
Arrange the given words in the sequence in which they occur in the dictionary.
1. INSINUATE
2. INSIDIOUS
3. INSIPID
4. INSATIABLE
INSATIABLE
INSIDIOUS
INSINUATE
INSIPID
Hence 4213 is the correct answer.
Identify the diagram that best represents the relationship among classes given below
Gas, Oxygen, Aluminium
The above-shown diagram expresses the best relation between gas, oxygen, and aluminium.
Hence, option 4 is the correct answer.
Identify the diagram that best represents the relationship among classes given below
Currency, Qatar, Doller
The above shown diagram expresses the best relation between Qatar, Currency, and Doller.
Hence, option 3 is the correct answer.
Select the related number from the given alternatives.
WATCH: TIME:: CALENDAR:?
Watch is used o see ‘Time’
Similarly,
Calendar is used to see ‘Date’
Hence ‘DATE’ is the correct answer.
Select the related number from the given alternatives.
878: 448:: 638:?
8 × 7 × 8 = 448
Similarly,
6 × 3 × 8 = 144
Therefore 144 is the correct answer.
Select the related number from the given alternatives.
ZERO: AARYABHATT :: TELEPHONE:?
Zero was invented by Aryabhata
Similarly, Telephone was invented by Graham bell
Hence ‘GRAHAM BELL’ is the correct answer.
In a certain code language, "GREAT" is written as "2015187," and "BURSH" is written as "81918212". How is "DREAD" written in that code language?
Similarly,
Hence, option 415184 will be the correct answer.
In a family of six members, namely J, K, L, M, N, O. J who is the grandfather of O is Father of L. M is the mother of K who is the sister in law of N. O is the son of N who is the husband of L. There are two couples in this family.
How is L related to K?
Hence sister is correct answer
In the following figure, the square represents boys, the triangle represents cricketer, the circle represents biker. Which set of letters represents boys who are bikers?
Only boys who are biker:
25 + 9 = 34
Hence option 34 is the correct answer.
Which one of the given responses would be a meaningful order of the following?
1. Classification
2. New product
3. Collection
4. Recycle
5. Waste
It is a waste recycle process, starting from ‘Waste’ dumped by us, it is ‘Collected.’ After collection of various types of waste will be ‘Classified’ into different categories. Finally, it is ‘Recycled’ and ready to make a ‘new product.’
Hence option 5, 3, 1, 4, 2 is the correct answer.
In a certain code language, "LONE" is written as "OPMD," and "MIND" is written as "OJNC.” How is "SIGN" written in that code language?
Similarly,
Hence the option HJTM is the correct answer.
Study the following information carefully and answer the questions based on it.
Some friends are seated in a row facing north. X, who is the only neighbour of Q, sits third to the left of P. Friends sit right to P is two less than friends sit left to P.
How many seating positions are in this row?
Hence, there are a total of 7 friends in this row.
Select the related word from the given alternatives.
GKPT: VRMI:: BJNO:?
Similarly,
Hence QPLD is the correct answer.
Select the related word from the given alternatives.
Nitin Gadkari : Nagpur :: Smriti Irani : ?
Nitin Gadkari’s constituency is Nagpur
Similarly,
Smriti Irani’s constituency is Amethi
Hence Amethi is the correct answer.
If 5 θ 9 ∂ 3 = 30 and 5 θ 6 ∂ 2 = 20, then 6 θ 8 ∂ 2 =
5 θ 9 ∂ 3 = 15 → 5 × (9 – 3) = 5 × 6 = 30
5 θ 6 ∂ 2 = 15 → 5 × (6 – 2) = 5 × 4 = 20
Now,
6 θ 8 ∂ 2 = ? → 6 × (8 – 2) = 6 × 6 = 36
Hence, 36 is the answer.
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
18, 21, 30, 57, 138, ?
Prime numbers starting from 3 are added,
18 + 3 = 21;
21 + 9 = 30;
30 + 27 = 57;
57 + 81 = 138;
138 + 243 = 381
Hence option 381 is the correct answer.
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
75, 69, 81, 63, 87, ?
75 - 6 = 69
69 + 12 = 81
81 - 18 = 63
63 + 24 = 87
87 - 30 = 57
Hence option 57 is the correct answer.
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
28, 14, 14, 21, 42, ?
28 × .5 = 14
14 × 1 = 14
14 × 1.5 = 21
21 × 2 = 42
42 × 2.5 = 105
Hence option 105 is the correct answer.
In the following question below, some statements are given, followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions, and then decide which of the given conclusions logically follows the given statements.
Statements:
All peas are berry
Some berry are chips
Some chips are flavoured
Conclusion:
I. some berries are not flavoured.
II. All peas can be chips.
I. some berry is not flavoured → False (as we cannot conclude a negative from positive statements)
II.All peas can be chips → True (it is possible that all peas can be chips)
Hence, only conclusion II follows.
Select the correct mirror image of the given combination when the mirror is placed to the right side of it.
We can see that the pictures are perfectly mirrored here.
Hence option 1 is the correct answer.
Karan’s brother's age is three times his age; after the 5-year ratio between the age of Karan and his brother will be 1: 2. What will be the age of Karan’s father, who is 25 years older than him?
Then the age of Karan’s brother will be = 3x;
After 5 year
(X + 5)2 = 1(3X + 5)
2X + 10 = 3X + 5,
X = 5
So Karan’s father age will be = 5 + 25 = 30
Hence option 30 is the correct answer.
In the following question below, some statements are given, followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions, and then decide which of the given conclusions logically follows the given statements.
Statements:
Some winners are gold
Some silver is winner
No gold is silver
Conclusion:
I. some winners are not silver.
II. some winners are not gold.
some winner is not silver → True (Winners which are Gold will never be Silver)
some winner is not gold.→ True (Winners which are Silver will never be Gold)
Hence, both conclusions follow
If ‘@’ means ‘÷,’ ‘%’ means ‘ ×,’ ‘$’ means ‘ - ’ and ‘#’ means ‘ + ’ then what is the value of
78 @ 6 # 13 $ 8 % 3
After applying all the operators on their respective symbol place, we get
78 ÷ 6 + 13 – 8 × 3 = 2
Hence 2 is the correct answer.
If the following words are arranged in the sequence as they appear in the dictionary, then what will be the sequence as per the dictionary order?
1. PRECLUDE
2. PREROGATIVE
3. PRECIPITOUS
4. PRECIPITATE
5. PRECURSOR
PRECIPITATE
PRECIPITOUS
PRECLUDE
PRECURSOR
PREROGATIVE
Hence option ‘4, 3, 1, 5, 2’ is the correct answer.
From the given answer figures, select the one in which the question figure is hidden/embedded.
Hence option 3 is the correct answer.
Select the pair of odd words from the given alternatives.
Hence ‘Nepal: Bhutan’ will be the odd word.
If “TARKASH” is coded as “78” and “OPPOSE” is coded as “86,” then how will “STATION” be coded as?
Add the place value of alphabets, T = 20; A = 1; R = 18; K = 11; A = 1; S = 19; H = 8,
after adding the obtained value we get
20 + 1 + 18 + 11 + 1 + 19 + 8 = 78
Similarly, O = 15; P = 16; P = 16; O = 15; S = 19; E = 5,
after adding the obtained values we get
15 + 16 + 16 + 15 + 19 + 5 = 86
Thus, the logic for STATION will be,
S = 19; T = 20; A = 1; T = 20; I = 9; O = 15; N = 14
after adding the obtained values, we get
19 + 20 + 1 + 20 + 9 + 15 + 14 = 98
Hence option 98 will be the correct answer.
Select the correct alternative to indicate the arrangement of the following in a logical and meaningful order.
1. Dig
2. Tree
3. Sapling
4. Fruit
5. Flowers
first ‘dig’ a hole and then plant a ‘sapling,’ after that it will become a ‘Tree’ and in seasons it will ‘Flowered,’ and finally, it will give ‘Fruits.’
Hence, option 13254 is the correct answer.
Two different positions of the same dice are shown. Select the number that will be on the face opposite to the one having 3.
And through dice B, we can conclude that 6 and 2 is not opposite to 3
Hence, the remaining number 1 will be the opposite of 3.
Hence, 1 will be opposite to 3
‘Song’ is related to ‘Lyrics’ in the same way as ‘movie’ is related to ‘________.’
Hence Script will be the correct answer.
Select the number which can be placed at the sign of the question mark (?) from the given alternatives.
The pattern followed here is,
Working on column
Column1: 22 + 33 = 31,
Column2: 42 + 53 = 141,
Similarly,
Column3: 62 + 73 = 379
Hence option 379 is the correct answer.
Study the following information carefully and answer the question based on it.
Suraj wants to go to school, so he starts from his house, and after walking 2 km straight, he reaches point A. From point A, he takes a right turn and walks for 200 meters, and then he turns again right and walks for 3 km to reach point B. From point B, he turns left and walks for 2 km. Finally, he reaches his school and faces south.
Suraj’s house is in which direction of his school?
From the above illustration, Suraj’s house will be in North East of his school.
Hence North - East is the correct answer
A piece of paper is folded and cut as shown in the question figures. From the given answer figures, indicate how it will appear when opened?
Hence option 2 is the correct answer.
In a certain code language, "TRAIN" is written as "OJBSU," and "TEJAS" is written as "TBKFU.” How is "MAJOR" written in that code language?
Similarly,
Hence option SPKBN will be the correct answer.
In the following question below, some statements are given, followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions, and then decide which of the given conclusions logically follows the given statements.
Statements:
All led are light
No light is dark
All dark is black
Conclusion:
I. Some black are led is a possibility.
II. some leads are dark.
Some black are led is a possibility → True (It is possible that some black are led)
some led are dark → False (There is no direct relation between led and dark)
Hence, the only conclusion I follow.
In the following question below, some statements are given, followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions, and then decide which of the given conclusions logically follows the given statements.
Statements:
All dashboard is keyboard
All keyboard is mouse
No mouse is printer
Conclusion:
I. All dashboard is mouse
II. some keyboard are printer is a possibility
All dashboard is mouse → True (Because all keyboard is mouse hence all dashboard will also be mouse)
some keyboard is printer is a possibility → False (because no mouse can be printer)
Hence the only conclusion I follow.
Which two signs should be interchanged to make the given equation correct?
12 ÷ 6 × 2 + 18 - 8 = 46
1. 12 ÷ 6 × 2 –18 + 8 = - 6 ≠ 36
2. 12 ÷ 6 – 2 + 18 × 8 = 144 ≠ 36
3. 12 × 6 ÷ 2 + 18 – 8 = 46
4. 12 + 6 × 2 ÷ 18 – 8 = 4.66 ≠ 36
Hence option 3 is the correct answer.
The Constituent Assembly of India was constituted on the scheme of –
The second Battle of Panipat was fought between
“Sarfaroshi Ki Tamanna Ab Hamare Dil Mein Hai” popular freedom struggle song during the British Raj period in India.
Who founded the Home Rule League in Madras in 1916 A.D.?
The rate of tax increase as the amount of the tax base increases is called?
The guerilla warfare was pioneered by
Who spoke: “At the stroke of midnight, when the world sleeps, India awakes to life and freedom”?
The item ‘Education’ belongs to the—
Which one of the following Articles of the Constitution of India has provision for the President to proclaim national emergency?
Which Fundamental Right in the Indian Constitution states that every person has the right to practice, profess and propagate the religion of their choice.
Which of the following was not a member of the drafting committee of the constitution-
Which place is said to be the Manchester of South India?
How many Fundamental Duties are in the Indian Constitution?
Which town/city in India has got a tower (minaar) named after Muhammad Ali Jinnah?
Fundamental Rights of Indian constitution have been adopted from which of the following nation-
From the following languages given below, pick out of the one which is the official language of Maharashtra—
Who administers the oath of the President of India?
What is the minimum age required to become vice-president of India?
During the colonial period, British capital was mainly invested in:
Humayun Nama was written by
Investment that is dependent on the level of income or on the rate of interest is called –
Even after sunset, the air near the Earth’s surface continue to receive heat due to:
The Ahmedabad Satyagraha of Gandhi was directed against
Which State Government had abolished “agriculture income tax” on plantation companies.
The Ghatampur thermal power plant recently approved by Cabinet is to be setup in –
How many languages have recognized by the Constitution—
Which atmospheric layer is located at the minimum height from the Earth?
The Himalayas is the example of _________.
How many Fundamental Duties are mentioned in the Indian constitution?
Which of the following articles/Articles cannot be suspended even during an emergency?
The rule of law is one of the fundamental principles of the UK’s unwritten or uncodified constitution.
“Quwwat-ul-Islam” Mosque was built by
The Government of India Act, 1919 is also known as
The title ‘Indian Napoleon’ has been attached to
Political right does NOT include which of the following?
Which of the following appointments is NOT made by the President of India?
External debt is the portion of a country’s debt that was-
Which institution is known as the ‘Soft Loan Window’ of the World Bank?
Which of the following was built by Akbar to commemorate his conquest of Khandesh in Gujarat?
The Equator does not pass through which of the following?
Rashtrapati Bhavan was designed by—
The largest irrigation canal in India is __________.
Which fundamental right is called the heart and soul of the Indian Constitution?
Which one of the following is not a non-conventional source of energy?
The Delhi Sultan, who fell to his death while playing polo, was
Article 1 of the Constitution declares India as—
Among the following States, _________has the lowest birth rate in India.
The “Rule of law” is the specialty of which of the following-
In which session of the Indian National Congress, the tricolor flag was unfurled for the first time?
On the midnight of December 31, 1929, and January 1, 1930, the deadline of the Nehru Committee report expired, and Jawahar Lal Nehru unfurled the Flag of India’s independence on the bank of River Ravi in Lahore.
The imaginary lines connecting the places of the same temperature are called-
Separation of flow occurs when pressure gradient:
Differential manometer is used to measure
U-tube differential manometer
Inverted U-tube differential manometer
A circular bar 20 mm in diameter and 200 mm long is subjected to a force of 20 kN. Find the strain in the bar if the value of E = 80 GPa.
Stress = Load/Area
Strain = Stress/E
In a kinematic chain, the relation in the number of links (L) and the number of joints (J) is
J = 3/2 L - 2
Another relation between the number of pairs (p) the and number of links(L) is
L = 2p - 4
Kinematic pairs are those which have two elements that
A p-V diagram has been obtained from a test on a reciprocating compressor. Which of the following represents that diagram?
The compressor operates on a two-stroke cycle:
Stroke 1 (a – c): The piston withdraws, causing the air in the clearance volume to expand, and when the pressure in the cylinder falls below atmospheric pressure (at b), the inlet valve opens, and the air is drawn into the cylinder for the remainder of the stroke.
Stroke 2 (c – a): The piston moves inwards, compressing the air in the cylinder, and the inlet valve closes when the cylinder pressure reaches atmospheric pressure.
Further compression follows as the piston moves toward the top of its stroke until, when the pressure in the cylinder is more than that in the receiver, the delivery valve opens. The air is delivered to the receiver for the remainder of the stroke.
Effect of suction and discharge side pressure drops on P-V diagram of a reciprocating compressor.
Typical indicator card
For forward inclined vanes, i.e., vanes having exit angle greater than 90°, which of the following curves holds good?
Radial vanes, Backward vanes, Forward vanes
Backward Curved Blades: vane exit angle is less than 90°
Forward Curved Blades: vane exit angle is more than 90°
Radial Blades: Vane exit angle is 90°
The blades of the compressor or either forward-curved or backward-curved or radial. Back curved blades were used in the older compressors, whereas the modern centrifugal compressors use mostly radial blades.
Pumps are not usually designed with forward curved vanes since such pumps tend to suffer unstable flow conditions.
Backward curved blades are slightly better inefficiency and are stable over a wide range of flow. While forward-curved blades are used for a higher pressure ratio.
Head-capacity and power-capacity curves
Quicksand comes under:
Pseudoplastic: Fine particle suspension, gelatine, blood, milk, paper pulp, polymeric solutions such as rubbers, paints.
Dilatant fluids: Ultrafine irregular particle suspension, sugar in water, an aqueous suspension of rice starch, quicksand, butter printing ink.
Ideal plastics or Bingham fluids: Sewage sludge, drilling muds.
Viscoelastic fluids: Liquids solid combination in pipe flow, bitumen, tar, asphalt, polymerized liquids with drag reduction features.
Thixotropic: Printer’s ink, crude oil, lipstick, certain paints, and enamels.
Rheopectic fluids: Very rare liquid-solid suspensions, gypsum suspension in water, and bentonite solutions.
Fire tube boilers are generally
Example to fire tube boilers:
Cornish boiler
Cochran boiler
Locomotive boiler
Lancashire boiler
Scotch marine boiler
Water Tube Boiler: In this boiler, water is present inside the tubes, and the hot flue gases surround them. They are high-pressure boilers. The operating pressure is about 250 bar.
Examples of water tube boilers:
Stirling boiler
Babcock and Wilcox boiler
Yarrow boiler
La mont boiler
Loeffler boiler
Velox boiler
Ductility of a material can be defined as
Ductility
Ductility is the property of the material that enables it to be drawn out or elongated to an appreciable extent before rupture occurs.
The percentage elongation or percentage reduction in the area before rupture of a test specimen is the measure of ductility. Normally if the percentage elongation exceeds 15%, the material is ductile, and if it is less than 5%, the material is brittle.
Lead, copper, aluminium, mild steel are typical ductile materials.
Brittleness
Brittleness is the opposite of ductility. Brittle materials show little deformation before fracture and failure occur suddenly without any warning, i.e., it is the property of breaking without much permanent distortion. Normally if the elongation is less than 5%, the material is brittle. E.g., cast iron, glass, ceramics are typical brittle materials.
Malleability
Malleability is the property by virtue of which a material may be hammered or rolled into thin sheets without rupture. This property generally increases with the increase of temperature.
Malleability is the ability of a metal to exhibit large deformation or plastic response when being subjected to compressive force.
Lead, soft steel, wrought iron, copper, and aluminium are some materials in order of diminishing malleability.
The period (T) for the pendulum with length (l) and placed at the gravitational acceleration (g) is given by:
Where l is the length of the pendulum and g is the acceleration due to gravity.
Tempering of steel is done to make it
Tempering is a heat-treatment process consisting of reheating the hardened steel to a temperature below 400°C, followed by cooling.
Purpose of tempering the steel
Steel in its hardened condition is generally too brittle to be used for certain functions. Therefore, it is tempered. The aims of tempering are:
to relieve the internal stresses
to regulate the hardness and toughness
to decrease the brittleness
to restore some ductility
to induce shock resistance
Polytropic index n is given
Taking log
log(p2/p1)/log(v1/v2)
The square root of the ratio between the inertia force and gravity force is called ________.
One bar unit of Pressure =?
1 Bar = 101325 Pascal
1 Bar = 101.325 Kilo Pascal
‘Block’ used in AutoCAD (TB) holds an important role in productivity; Block is a(an)
Advantages of Blocks:
It increases the speed of drawing creation
Using block greatly reduces the file size of saved drawing
Blocks help in keeping consistency in project drawing, thus avoiding confusions
Main purpose of normalizing is to
The main purpose of normalizing is to refine grain size.
Main objective
1. Refine grain size in metal, improve strength and hardness, reduce ductility
2. Remove cold worked stress.
3. Remove dislocations due to hot working.
Automobile Steering gear is an example of
Which of the following is measured in the poise?
1 poise = 0.1 Pa.s = 0.1 N.s/m2
(2) Kinematic Viscosity: The ratio of dynamic viscosity to density appears frequently, and this ratio is given by the name kinematic viscosity. Its unit is Stoke or m2/s (1 stoke = 0.0001 m2/s)
(3) Unit of the velocity of flow is m/second.
(4) Unit of discharge of flow is m3/second.
Stainless steel is so-called because of its _________.
Stainless steels typically contain 10 - 30 % chromium besides other elements like C, Mn, Si, S, etc. Chromium imparts corrosion resistance to steel. Varying amounts of other alloying elements like Ni, Mo, V, Ti, Ni, etc., may be added to obtain certain low-grade properties.
It exhibits extraordinary corrosion resistance due to the formation of a very thin layer of Cr2O3 on the surface.
One important type of stainless steel is often described as 18/8 steel, where chromium and nickel percentages are 18 and 8, respectively.
The temperature at which the new grains are formed in the metal is called
The temperature at which a given material is completely recrystallised in an hour is defined as the recrystallisation temperature.
The recrystallisation temperature is low if the degree of deformation is high and if the temperature of deformation is low, and/or if the initial grain size is small. The recrystallisation temperature is also very sensitive to the purity of the material.
Oldham’s coupling is an inversion of
There are three important inversions of the double slider crank chain.
1) Elliptical trammel
2) Scotch yoke mechanism
3) Oldham‘s Coupling
What is the safe working pressure for a spherical pressure vessel 1.5 m internal diameter and 1.5 cm wall thickness if the maximum allowable tensile stress is 45 MPa?
For a thin spherical pressure vessel, both longitudinal and hoop stress is the same and given as
The difference between the total headline and the hydraulic grade line represents
Total energy line (T.E.L.) – Line representing the sum of pressure head, datum head, and velocity head.
∴ T.E.L. – H.G.L. = velocity head
Mohr’s circle can be used to determine the following stress on an inclined surface:
A. Principal stress
B. Normal stress
C. Tangential stress
D. Maximum shear stress
Mohr’s circle of stresses is a graphical method of finding normal, tangential, and resultant stresses on an oblique plane.
The value of for an irreversible cycle is
A moving fluid mass may be brought to a static equilibrium position by applying an imaginary inertia force of the same magnitude as that of the accelerating force but in the opposite direction. This statement is called
F = ma
F + (-ma) = 0
We can say that the body is in equilibrium under the action of external forces (F) and inertial force (-ma).
This is D’Alembert’s principle which states that a moving body can be brought to equilibrium by adding inertia force Fi to the system.
In magnitude, this inertia force is equal to the product of mass and acceleration and takes place in a direction opposite to that of acceleration.
The stagnation pressure is the _________
∴ Po = P + ρV2/2
What is the resistance of the material to deflection known?
The stiffness, k, of a body is a measure of the resistance offered by an elastic body to deformation. For an elastic body with a single degree of freedom (DOF) (for example, stretching or compression of a rod),
the stiffness is defined as
rm k = rmF/rmδ
where,
F is the force on the body
δ is the displacement produced by the force along the same degree of freedom
∴ The resistance of the material to deflection is known stiffness.
The power transmitted by a circular shaft rotating at N rpm under the action of torque T is:
P = 2πNT/60
In M.K.S units, horsepower transmitted by the shaft,
P = 2πNT/4500
Out of the given 4 options, only one option is the correct formula for power transmitted.
Name the part of a lathe machine that provides the method of holding and moving the cutting tool
Main parts of Lathe:
Lathe bed is usually made of_______.
Main parts of Lathe:
Tolerances for a hole and shaft assembly having a nominal size of 40 mm are as follows :
Determine the Maximum material Limit (MML) of the hole.
Or the 'GO' condition,
Given dimension of hole =
base size of hole = 40 mm
upper limit of hole = 40 + 0.06 = 40.06 mm
lower limit of hole = 40 + 0.02 = 40.02 mm
So MML for hole = lower limit of hole
= 40 + 0.02 = 40.02;mm
and 'NO GO' condition or minimum material limit or the upper limit of hole = 40.06 mm
The four process of the Carnot cycles are
Carnot cycle is one of the best-known reversible cycles. The Carnot cycle is composed of four reversible processes.
Fig. P-V and T-S diagrams of Carnot Cycle
An ideal gas undergoes an isothermal expansion from state R to state S in the turbine, as shown in the diagram given below:
The area of the shaded region is 1000 N-m. The amount is turbine work done during the process is
Turbine work = Area under curve R-S = Area of Rectangle + Area of the shaded region.
W = (0.2 – 0.1) × 1 × 105 + 1000
W = 11000 N – m
Work is considered to be a superior form of energy as compared to heat energy because,
Thus electrical energy (or work) is called a high - grade energy, as it is very easy to convert almost all of it into other energy forms such as thermal energy (say by using an electrical heater). Whereas it is not possible to completely convert thermal energy (or heat) into electrical energy (typical efficiencies of thermal power plants around 30 percent), thermal energy is called low-grade energy.
In reciprocating engines primary forces _________.
Since reciprocating mass cannot balance fully, partial balancing of the reciprocating mass is done while revolving masses can be balanced fully.
Primary unbalanced Force FP = mrω2cos2θ
Secondary unbalanced Force = FS = mrω2cos2θ/n
Effect of Partial Balancing of Reciprocating Parts
Reciprocating parts are only partially balanced. Due to this partial balancing of the reciprocating parts, there is an unbalanced primary force along the line of stroke and an unbalanced primary force perpendicular to the stroke line. The effect of an unbalanced primary force along the line of stroke is to produce;
Variation in tractive force along the line of stroke
Swaying couple
In limiting friction, the resultant reaction R, the normal reaction N, and angle of friction θ, are related as
F is the frictional force developed, and N is the normal reaction.
The direction of resultant R measured from the direction of N is specified by tan θ = F/N
μ = tanθ = F/N
Here F = R sin θ
N = R cos θ
Where θ is angle of friction.
A diathermic wall is the one which:
An adiabatic wall is one that heat cannot pass through. It is made from a thermal insulator.
The value obtained from dividing the limiting value of circulation by area of closed contour is known as _______.
Potential Function: A scalar function of space and time such that its negative derivative with respect to any direction gives the fluid velocity in that direction.
Circulation: It is the line integral of the tangential component of the velocity taken around a closed contour.
Vorticity: The limiting value of circulation divided by the area of closed contour, as the area tends to zero.
∴ The value obtained from dividing the limiting value of circulation by area of closed contour is known as vorticity.
What is the expression for crippling load for a column with both ends hinged?
rm Prm E =
Where,
PE = Euler’s crippling load, E = Young’s Modulus of elasticity, I = Moment of inertia of the column section, and Leff = Effective length of the column
For column having both ends hinged, Leff = L
Which of the following is the important mechanical property for a material to be forged or rolled into thin sheets successfully?
Malleability
Malleability is the property by virtue of which a material may be hammered or rolled into thin sheets without rupture. This property generally increases with the increase of temperature.
Malleability is the ability of a metal to exhibit large deformation or plastic response when being subjected to a compressive force.
Ductility
Ductility is the property of the material that enables it to be drawn out or elongated to an appreciable extent before rupture occurs.
Brittleness
Brittleness is the opposite of ductility. Brittle materials show little deformation before fracture and failure occur suddenly without any warning, i.e., it is the property of breaking without much permanent distortion.
The process of making a cone-shaped enlargement of the end of a hole is:
Counterboring: It is an operation of enlarging a drilled hole partially for a drilled hole.
Countersinking: It is an operation of forming a conical shape at the end of a drilled hole.
Trepanning: It is an operation of producing a hole by removing the metal along the circumference of a hollow cutting tool.
If air is heated without changing its moisture content, the dew point will _____.
Dry Bulb Temperature: Actual temperature of gas or mixture of gases.
Wet-bulb temperature: Temperature obtained by an accurate thermometer having a wick moistened with distilled water.
Dew point temperature: Temperature at which the liquid droplets just appear when the moist air is cooled continuously.
Sensible heating: Moisture content of air remains constant, so specific humidity is constant, temperature increases as it flows over a heating coil.
Sensible cooling: The moisture content of air remains constant, so specific humidity is constant, but its temperature decreases as it flows over a cooling coil.
According to the question:
If air is heated without changing its moisture content, ⇒ Sensible heating.
Sensible heating: It is the process of increasing the Dry bulb temperature at a constant specific humidity.
Effects of sensible heating:
The kinetic energy of a flywheel, having a moment of inertia I and angular speed ‘ω,’ is given by
K.E = 1/2Iω2 = 1/2mk2.ω2
I is the mass moment of inertia of the flywheel about its axis of rotation in kg-m2 = m.k2.
The property of a fluid that enables it to resist tensile stress is known as
Adhesion: The force of attraction between unlike molecules, i.e., between the molecules of different liquids or between the molecules of a liquid and those of a solid body when they are in contact with each other, is known as the force of adhesion. This force enables two different liquids to adhere to each other or a liquid to adhere to a solid body or surface.
Surface tension is the elastic tendency of a liquid surface, which makes it acquire the least surface area possible. It occurs at the interface of two liquids due to the intermolecular force of cohesion.
Compressibility is the ability of fluid to change its volume under pressure.
To avoid separation, the most suitable ratio of throat diameter and pipe diameter in a venturi meter is ______.
The working of the venturi meter is based on the principle of Bernoulli’s equation.
The Venturi meter is divided into 3 parts:
Convergent cone
Divergent cone
Throat
Important Point:
Convergent cone:
The angle of convergence is generally 20-22 degrees.
The length of the convergent cone is 2.7(D-d).
Here 'D' is the diameter of the inlet section, and 'd' is the diameter of the throat.
Throat:
The length is equal to the diameter of the throat.
Generally, the diameter of the throat is 1/3 to 3/4 of the diameter of the inlet pipe.
Diverging cone:
The diverging section has an angle of 5 to 15 degrees.
The diverging angle is less than the converging angle.
Although the desirable ratio of throat diameter and pipe diameter lies between 1/3 to 3/4.
The most appropriate option is 0.33 to 0.5, as the energy losses would minimize if the area difference is minimized.
A thin cylindrical shell under internal pressure can fail along the
Such a component fails when subjected to an excessively high internal pressure. While it might fail by bursting along a path following the circumference of the cylinder. Under normal circumstances, it fails by bursting along a path parallel to the axis. This suggests that the hoop stress is significantly higher than the axial stress.
When a thin cylindrical shell is subjected to internal pressure, it is likely to fail in the following two ways:
1. It may fail along the longitudinal section (i.e., circumferentially), splitting the cylinder into two troughs
2. It may fail across the transverse section (i.e., longitudinally), splitting the cylinder into two cylindrical shells
Failure of a cylindrical shell along the longitudinal section and Failure of a cylindrical shell along the transverse section
Size of the shaper is specified by
In shaping and planning operations, straight and flat surfaces are created. In shaping operation, the speed motion is accomplished by moving the cutting tool, while in planning, the motion is accomplished by the workpiece. Shaping is performed in a machine tool called a shaper, whereas the machine tool for planning is called a planer. The slotting process is identical to shaping except that the motion of the ram is vertical instead of horizontal.
The size of the shaper is specified by the maximum length of stroke or cut it makes. The maximum stroke length of the shaper is 900 mm.
________ is a transmission dynamometer -
Following are the two types of dynamometers used for measuring the brake power of an engine.
1. Absorption dynamometers: The entire energy or power produced by the dynamometer is absorbed by the friction resistance of the brake and is transformed into heat during the process of measurement.
Example: Prony brake dynamometer, Rope brake dynamometer, Hydraulic dynamometer
2. Transmission dynamometers: The energy is not wasted in friction but is used for doing work. The energy or power produced by the engine is transmitted through the dynamometer to some other machines where the power developed is suitably measured.
Example: Epicyclic-train dynamometer, Belt transmission dynamometer, Torsion dynamometer.
In gears, interference takes place when _____.
Methods of elimination of Gear tooth Interference:
Use of a larger pressure angle (having a larger pressure angle results in a smaller base circle. As a result, more of the tooth profiles become involute)
Under-cutting of the tooth (A portion of teeth below the base circle is cut off. When teeth are produced by this process, the tip of one tooth of gear will not contact the non-involute portion of the tooth of other gear)
Tooth stubbing (In this process, a portion of the tip of the teeth is removed, thus preventing that portion of the tip of the tooth from contacting the non-involute portion of the other meshing tooth).
Increasing the number of teeth on the gear can also eliminate the chances of interference.
Increasing the center distance between the meshing gears slightly eliminates interference.
Tooth profile modification or profile shifting (Using profile shifted gears (gears with non-standard profile) can also be an option to eliminate interference. In profile shifted meshing gears, the addendum on the pinion is shorter compared with standard gears).
Transmission angle is the angle between
The transmission angle is the angle between the output link and the coupler. If the value of the transmission angle is zero, then the mechanism will lock or jam. If the transmission angle deviates from the 90O, then the torque on the output link decreases. So usually, the value of this angle is kept at more than 45O. The best mechanism is in which the transmission angle does not deviate much from the 90O.
The force induced in the string BC due to the load W, as shown in the figure, is
FAB = W cosec θ
FBC = FAB cos θ = W cosec θ × cos θ
FBC = = W cot θ
When a real gas undergoes Joule-Thomson expansion, the temperature
The numerical value of the slope of an isenthalpic on a T-p diagram at any point is called the Joule-Thomson coefficient and is denoted by μj
A measure of the change in temperature results from a drop in pressure across the construction.
If μ is +ve, then the temperature will fall during throttling.
So from the figure, it is clear that temperature may increase or decrease it will depend on the value of μ.
Water is pumped through a pipeline to a height of 10 m at a rate of 0.1 m3/s. If frictional and other losses amount to 5 m, the pumping power required in kW would be
Where H is a totally effective head.
P = 1000 × 0.1 × 9.81 × (10 + 5) = 14715 W = 14.7 kW
A block of wood floats in water with 2/3rd of its volume submerged. Its relative density is:
∴ Weight of wooden block = Weight of the volume of fluid displaced
Let,
The density of wooden block = γb, the density of water = γw, and volume of block = V
Weight of wooden block = γb × V
Weight of the volume of fluid displaced = γw × 2/3 × V
γb × V = γw × 2/3 × V
∴ γb = 2/3 × γw
∴ The relative density for the wooden block is γb/γw = 2/3.
Match List – I (Measuring device) with List-II (Parameter measured) and select the correct answer using the options given below the lists:
Piezometer: It is used to measure the static pressure of the fluid at any section.
Pitot tube: It is used to calculate the dynamic pressure (total pressure – static pressure) in any section.
Orifice meter – It is used to measure the discharge of fluid across a considered section.
The coefficient of discharge, Cd in terms of Cv and Cc is given by (Notations have their usual meaning)-
Cd = Cc × Cv
Where,
Cc = Coefficient of contraction
Cv = Coefficient of velocity
What is the value of the angle (degree) between streamlines and equipotential lines at the point of intersection in the flow net?
Which solution is used in an ice plant?
Refrigeration circuit: Ammonia as working medium (primary refrigerant) produces the cold by changing its phase at different locations.
Cooling water circuit: Cooling water as a working medium to remove the heat of the condenser.
Brine circuit: Brine solution as a working medium which transfers the cold from ammonia to water-filled cans where ice is to be formed.
Mathematical expression for Modulus of Resilience is_______. (E is Young’s Modulus, ϵ is strain)
Resilience is defined as the capacity of a strained body for doing work on the removal of the straining force.
Proof resilience is defined as the maximum strain energy stored in a body. So, it is the quantity of strain energy stored in a body when strained up to an elastic limit (ability to store or absorb energy without permanent deformation).
Modulus of resilience is defined as proof resilience per unit volume. It is the area under stress–strain curve up to the elastic limit.
The deflection of a simply supported rectangular beam is:
Concentrated load P at the center,
Uniformly distributed load w (N/m),
I = bd3/12
Figure out the odd point in the following
Cutting tool used in planing machine is
The tools used in planing and shaping are similar to single-point lathe tools, consisting of the shank and the point.
Planing and shaping tools are made of HSS or tipped with cemented carbides.
The coldest part of the domestic refrigerator is
Compressor: The compressor is located at the back of the refrigerator and in the bottom area. The compressor sucks the refrigerant from the evaporator and discharges it at high pressure and temperature. The compressor is driven by the electric motor, and it is the major power-consuming device of the refrigerator.
Condenser: The condenser is the thin coil of copper tubing located at the back of the refrigerator. The refrigerant from the compressor enters the condenser,stress-strain where it is cooled by the atmospheric air, thus losing heat absorbed by it in the evaporator and the compressor.
Expansive valve or the capillary: The refrigerant leaving the condenser enters the expansion device, which is the capillary tube in domestic refrigerators. The capillary is the thin copper tubing made up of a number of turns of the copper coil. When the refrigerant is passed through the capillary, its pressure and temperature drop down suddenly.
Evaporator or chiller or freezer: The refrigerant at very low pressure and temperature enters the evaporator or the freezer. It is the coldest part of the refrigerator. The refrigerant absorbs the heat from the substance to be cooled in the evaporator, gets evaporated, and is then sucked by the compressor. This cycle keeps on repeating.
Receiver: The primary function of the receiver is to catch and hold any liquid refrigerant that didn’t boil off in the evaporator. Liquid refrigerant getting to the compressor can damage the pistons.
Which of the following is true for a self-locking screw?
In the Power screw, the torque Mt required to lower the load is given by
Mt = Wdm/2 tan (ϕ−α) where, W = load on the screw in N, dm = the mean diameter of the screw-in m,
ϕ = friction angle and α = helix angle
Case 1. when ϕ ≥ α
tan (ϕ - α ) ≥ 0, thus Mt ≥ 0.
i.e., positive torque is required to lower the load. Thus the load will not turn the screw and will not descend on its own unless an effort is applied.
Such cases of screws are known as 'Self-locking screws.’ And the screw will hold the hold without any application of the brake.
Also, as ϕ ≥ α
tan ϕ ≥ tan α
Case 2. when ϕ < />
tan (ϕ - α ) < 0,="" thus="" />t < />
i.e., negative torque is required to lower the load. The load will turn down the screw and will descend on its own unless a restoring torque is required to hold the load.
Such cases of screws are known as 'overhauling of the screw' or back drawing of the screw.
Triple point ________.
Which gas among the following has the highest value of the adiabatic index?
Specific speed of the hydraulic turbine is dependent upon ____.
Specific speed of the hydraulic turbine is dependent upon speed, the power developed, and the effect head.
Which one of the following is defined as force per unit length?
Compressibility is a measure of the relative volume change of a fluid or solid as a response to a pressure change. Its unit is Pa-1.
Capillarity or capillary action is the ability of a narrow tube to draw a liquid upwards against the force of gravity. The height of liquid in a tube due to capillarity is expressed in m.
The viscosity of a fluid is a measure of its resistance to gradual deformation by shear stress caused due to flow. Its units are Pa·s = (N·s)/m2 = kg/(s·m)
In arc welding, penetration is minimum for
Types and importance of polarity in arc welding
Polarity indicates the direction of current flow in the welding circuit.
Kinds of polarity
Straight polarity: In straight polarity, the electrode is connected to the negative and the work to the positive terminal of the power source.
Electrode Negative Or straight polarity (DCEN)
Reverse Polarity: In reverse polarity, the electrode is connected to the positive and the work to the negative terminal of the power source.
Electrode Positive Or Reverse Polarity (DCEN)
DCSP (Electrode Negative)—Maximum penetration.
AC—Moderate penetration.
DCRP (Electrode Positive)—Minimum penetration
Hardness of cementite is of the order of _______ BHN
The hardness of cementite is around 550 BHN.
The hardness of martensitic steel depends on its carbon content and ranges from about 460 BHN at 0.2% carbon content to about 710 BHN at about 0.5% carbon. The hardness of pearlite is about 240 BHN.
Facing operation is
Undercutting/Grooving is the process of reducing the diameter of a workpiece over a narrow surface.
Knurling is an operation of embossing a diamond-shaped pattern on the surface of a workpiece.
Chamfering is the operation of bevelling the extreme end of a workpiece. It is used to remove the sharp edge of the workpiece surface.
In an on-off control refrigeration system, which one of the following expansion devices is used?
In the On-off control of the air-handling unit, the fan motor is operated intermittently by the room thermostat, the bulb of which is installed in the return air.
A thermostatic expansion valve maintains a constant degree of superheat at the exit of an evaporator; hence it is most effective for dry evaporators in preventing the slugging of the compressors since it does not allow the liquid refrigerant to enter the compressor.
A system will be in thermodynamic equilibrium only if it is in ____.
A. Thermal equilibrium
B. Mechanical equilibrium
C. Chemical equilibrium
1) Mechanical equilibrium: When there are no unbalanced forces within the system and between the system and the surrounding, the system is said to be under mechanical equilibrium.
2) Chemical equilibrium: The system is said to be in chemical equilibrium when no chemical reactions are going on within the system. There is no transfer of matter from one part of the system to another due to diffusion.
3) Thermal equilibrium: When the system’s temperature is uniform and not changing throughout the system, and in the surroundings, the system is said to be in thermal equilibrium.
The velocity distribution for flow over a flat plate is given by u = (y - y2), in which u is the velocity in meters per second at a distance of y meters above the plate. What is the shear stress value at y = 0.15 m? The dynamic viscosity of the fluid is 8.0 poise.
According to Newton’s law of viscosity, τ = μ(du/dy) the shear stress is directly proportional to the rate of shear strain or rate of angular deformation of a fluid particle.
τ = μ(du/dy)
Calculation:
u = (y - y2)
du/dy = 1−2y
at y = 0.15
du/dy = 1−2(0.15) = 0.70
τ = μ(du/dy) = 0.8 × 0.7 = 0.56;N/m2
Note: 1 poise = 0.1 Ns/m2
Bending moment M and torque T are applied on a solid circular shaft. If the maximum bending stress equals maximum shear stress developed, then M is equal to
σ = 32M/πd3
Shear stress due to twisting moment/ torque:
τ = 16T/πd3
If the maximum bending stress equals maximum shear stress developed:
COP of a Carnot heat pump operating between -3°C and 27°C is
Following type of cam is used for high-speed engine
In a cam drive, it is essential to offset the axis of a follower to
Follower with zero offsets and Follower with offset
If the follower movement is a displacement from the cam centre, then the follower is called an offset follower, offsetting results in reduced forces and stresses.
The offsetting eccentricity should be in the direction to improve force components tending to jam the translating follower in its bearing guide and decrease the wear between follower and cam surface.
A 5 kg box is raised through a height. Its potential energy increases by 49 J. The height is (g = 9.8 m/s2)
P.E. = mgh
49 = 5 × 9.8 × h
h = 1.0 m
What does the second law of thermodynamics define?
Zeroth law of thermodynamics – If two thermodynamic systems are each in thermal equilibrium with a third, then they are in thermal equilibrium with each other.
The first law of thermodynamics – Energy can neither be created nor destroyed. It can only change forms. In any process, the total energy of the universe remains the same.
For a thermodynamic cycle, the net heat supplied to the system equals the net work done by the system.
δQ = ΔU + δW
The second law of thermodynamics – The entropy of an isolated system not in equilibrium will tend to increase over time, approaching a maximum value at equilibrium.
ΔS = ΔQ/T
ΔSTotal = ΔSSystem + ΔSsurrounding
The second law of thermodynamics introduces the concept of entropy.
Third law of thermodynamics – As the temperature approaches absolute zero, the entropy of a system approaches a constant minimum.
ΔST = 0K = 0
Which of the following statements is wrong?
As the ignition lag increases, the amount of fuel accumulated in the combustion chamber increases. When combustion actually takes place, an abnormal amount of energy is suddenly released, causing an excessive rate of pressure rise, which results in a knock.
The CI engine knock can be controlled by reducing the delay period. The delay is reduced by the following :
a. High charge temperature
b. High fuel temperature
c. Good turbulence
d. Injection of fuel just before TDC
To decrease the tendency of knock, it is necessary to start the actual burning as early as possible after the injection begins. In other words, it is necessary to decrease the ignition delay and thus decrease the amount of fuel present when the actual burning of the first few droplets starts.
The following are the differences in the knocking phenomenon of the S.I. and C.I. engines:
In the S.I engine, the detonation occurs near the end of combustion, whereas in the C.I engine detonation occurs near the beginning of combustion
The detonation in the S.I engine is of a homogeneous charge causing a very high rate of pressure rise and very high maximum pressure.
In the C.I. engine, the fuel and air are imperfectly mixed, and hence the rate of pressure rise is normally lower than that in the detonating part of the charge in the S.I engine.
In the C.I. engine, the fuel is injected into the cylinder only at the end of the compression stroke; there is no question of pre-ignition as in S.I. engine.
In the S.I. engine, it is relatively easy to distinguish between knocking and non-knocking operations as the human ear easily finds the distinction.
In a free vortex, velocity
The velocity of free vortex flow ∝ 1/r
∴ In a free vortex, velocity decreases with radius.
The working pressure of Cornish boiler is _______ Stirling boiler
Example to fire tube boilers:
Cornish boiler
Cochran boiler
Locomotive boiler
Lancashire boilerScottishh marine boiler
Water Tube Boiler: In this boiler, water is present inside the tubes, and the hot flue gases surround them. They are high-pressure boilers. The operating pressure is about 250 bar.
Examples of water tube boilers:
Stirling boiler
Babcock and Wilcox boiler
Yarrow boiler
La mont boiler
Loeffler boiler
Velox boiler
Angle between the planes of maximum normal stress and minimum normal stress is ________, and angle between planes of maximum shear stress and principal planes is ________ respectively.
The planes of maximum and minimum normal stresses are at an angle of 90° to each other.
Planes of maximum stress occur at 45° to the principal planes.