One time estimate is
PERT
b)CPM
c)Both (a) and (b)
d)None of these
The lead time consumption is 600 units. The annual consumption is 8000 units. The company has a policy of EOQ ordering and maintenance of 200 units as safety stock. The Reorder Point (ROP) is
500 units
b)700 units
c)800 units
d)None of these
In the simplex method, the existence of more than one optimum solution is indicated, when
the index row (cj - Zj) under one or more of the non-base decision vanables is/are zero
b)all the replacement ratios, \(({b_i\over a_{is}})\) (s indicates key column) are negative
c)some of the values in constant column (bi) are zero
d)All of the above
The machining proces in which the metal of work piece is dissolved is
chemical machining
b)electro discharge machining
c)ultrasonic machining
d)electro chemical machining
When the work piece is connected to the negative terminal and the electrode holder to the positive terminal, the welding set up is said to have
straig ht polarity
b)reversed polarity
c)Both (a) and (b)
d)None of these
Gear finishing operation is
shaping
b)milling
c)hobbing
d)saving or burnishing
Draft on pattern for casting is
shrinkage allowance
b)taper to facilitate its removal from mould
c)for machining allowance
d)All of the above
Ferrites are
antimagnetic
b)ferromagnetic
c)paramagnetic
d)None of these
An open cycle constant pressure gas turbine uses a fuel of calorific value 40000 kJ/kg with air fuel ratio of 80 : 1 and develops a net output of 80 kJ/kg of air. The thermal efficiency of the cycle is
61%
b)16%
c)18%
d)None of these
Consider a vapour absorption system as shown:
Ideal COP of this system is
\({ COP }=\left( \frac { { T }_{ e } }{ { T }_{ c }-{ T }_{ e } } \right) .\left( \frac { { T }_{ g }-{ T }_{ c } }{ { T }_{ g } } \right) \)
b)\({ COP }=\left( \frac { { T }_{ g } }{ { T }_{ c }-{ T }_{ e } } \right) \times\left( \frac { { T }_{ g }-{ T }_{ c } }{ { T }_{ e } } \right) \)
c)\({ COP }=\left( \frac { { T }_{ c } }{ { T }_{ c }-{ T }_{ e } } \right) .\left( \frac { { T }_{ g }-{ T }_{ c } }{ { T }_{ e } } \right) \)
d)None of the above
Draft tube is fitted with the following purpose
recover part of KE of water
b)control the flow rate of water
c)to guide water out of turbine
d)avoid splashing of water
There is shown a T-S diagram for a two-phase mixture. Some points are located and some data are given as-
P (in bar) |
Ts (in ° C) |
h1 (in kJ/kg) |
hg (in kJ/kg) |
Sf (in kJ/kg-K) |
Sg (in kJ/kg-K) |
Vg (in m3/kg) |
---|---|---|---|---|---|---|
1.0 | 100 | 417.5 | 2675.4 | 1.3027 | 7.3598 | 1.694 |
2.0 | 120 | 504.7 | 2706.3 | 1.530 | 7.126 | 0.885 |
Now, determine the condition or position of this mixture in given diagram on the basis of following questions.
If P = 2.0 bar and h = 2675.4 kJ/kg.
Point a
b)Point b
c)Point c
d)Between a and b
An electric motor of 1 kW rating is used for driving heat pump which supplies heat to a building for maintaining at 260C. Heat loss from building to the surrounding due to temperature difference is 6 MJ/h when the surroundings temperature is 3 0C, then select the false statement.
This motor is sufficient to maintain the desired
temperature
Theoretical input power of motor is 0.145 kW
c)If motor efficiency is 80%, then it is unable to maintain the desired temperature
d)None of the above
At the inlet to a certain nozzle, the enthalpy of the fluid passing is 3000 kJ/kg and the velocity is 60 m/s. At the discharge end, the enthalpy is 2762 kJ/kg. The nozzle is horizontal and there is negligible heat loss from it
If the inlet area is 0.1 m2 and the specific volume at inlet is 0.187 m3/kg, find the mass flow rate
0.32 kg/s
b)0.26 kg/s
c)26.05 kg/s
d)32.1 kg/s
In a counter flow heat exchanger, the product of specific heat and mass flow rate is same for the hot and cold fluids. If NTU is equal to 0.5, then the effectiveness of the heat exchanger is
1.0
b)0.5
c)0.33
d)0.2
Sun's surface at 5800 K emits radiation at a wavelength of 0.5 μ, A furnace at 300°C will emit through a small opening, radiation at a wavelength of nearly
10 μ
b)5 μ
c)0.25 μ
d)0.025 μ
The average Nusselt number in laminar natural convection from a vertical wall at 180oC with still air at 20 ° C is found to be 48. If the wall temperature becomes 30oC, all other
parameters remaining same, the average Nusselt number will be
8
b)16
c)24
d)32
One end of a rectangular fin (L = 20 cm) is at constant base temperature of T0= 127°C, it is kept in surrounding having temperature T\(\infty \) = 25°C. If Kfin = 200 W/m-K and h = 80 W/m2-K and temperature at any point of fin varies as T = T0 (a - bx2).
If cross-section is perfectly insulated, then heat transfer rate from this is
2.16 kW/m2
b)zero
c)2.16 W/m2
d)None of these
One end of a rectangular fin (L = 20 cm) is at constant base temperature of T0= 127°C, it is kept in surrounding having temperature T\(\infty \) = 25°C. If Kfin = 200 W/m-K and h = 80 W/m2-K and temperature at any point of fin varies as T = T0 (a - bx2).
If cross-section is perfectly insulated, then heat transfer rate from this is
2.16 kW/m2
b)zero
c)2.16 W/m2
d)None of these
A composite hollow sphere with steady internal heating is made of 2 layers of materials of equal thicknesses with thermal conductivities in the ratio of 1 : 2 for inner to outer layers. Ratio of inside to outside diameters is 0.8. What is the ratio of temperature drop across the inner and outer layers?
0.4
b)1.6
c)2 ln 0.8
d)2.5
A fluid flowing through pipe has flow rate 3.5 L/s. Fluid has viscosity 0.1 N-s/m2 and relative density 0.9. If diameter of pipe is 50 mm and length 300 m then,shear stress at pipe wall is
30 N/m2
b)20 N/m2
c)28 N/m2
d)zero
A 80 mm long journal bearing supports 2800 N load on a 50 mm diameter shaft. The diametral clearance is 0.1 mm and shaft speed is 2000 rpm. If viscosity of oil is 0.021 kg/m-s then, the value of friction coefficient is
0.0119
b)0.117
c)1.1
d)1.2
In above question value of factor of safety according to Goodman theory is
8.69
b)7.14
c)6.59
d)7.35
If the mass of the rod is m, then the natural angular frequency of the system will be
\(\sqrt { \frac { k }{ m } } \)
b)2\(\sqrt { \frac { k }{ m } } \)
c)\(\sqrt { \left( \frac { { k }_{ 1 }+k_{ 2 } }{ 3m } \right) } \)
d)\(\sqrt { \frac { 3m }{ { k }_{ 1 }+k_{ 2 } } } \)
In a simple gear train, if the number of idle gears is odd, then the motion of driven gear will
be same as that of driving gear
b)be opposite as that of driving gear
c)depend upon profile of teeth
d)None of the above
A spherical vessel of steel (di = 600 mm, t = 10 mm) is fill with water under pressure of 6 MPa. 446 x 103 mm3 volume of water is let out to reduce the pressure. If k = 2 GPa for water, ESteel = 200 GPa, then Poisson's ratio is
0.7
b)0.8
c)0.25
d)0.30
A cantilever 2.5 m long carries a UDL of 20 kN/m run. The breadth of the section remains constant and is equal to 100 mm. Determine the depth of the section at the middle of the length of the cantilever if stress remains the same throughout and equal to 120 MN/m2.
70 mm
b)90 mm
c)85 mm
d)88 mm
A beam of length 6 m carries a point load 120 kN at its centre. The beam is fixed at both ends. The fixing moment at the ends is
40 kN-m
b)90 kN-m
c)150 kN-m
d)120 kN-m
In the given figure,
Maximum shear stress is
110 N/mm2
b)44.36 N/mm2
c)62 N/mm2
d)77.63 N/mm2
An ejector mechanism consists of a helical compression spring having a spring constant ofk= 981 x 103 N/m.lt is pre-compressed by 100 mm from its free state. If it is used to eject a mass of 100 kg held on it, the mass will move up through a distance of
100 mm
b)500 mm
c)981 mm
d)1000 mm
The sum of the series
12 + 22 + 32 + ...+r2 is
\(\frac { r(r+1)(2r+1) }{ 6 } \)
b)\(\frac { r(2r+1)(3r+1) }{ 6 } \)
c)\(\frac { 2{ r }^{ 2 }9r+1)(2r+1) }{ 8 } \)
d)None of these
Let (S,\(\le \)) be a partial order with two minimal elements and a and b and a, c maximum element. Let P : S \(\Rightarrow\){True, False} be a predicate defined on S. Suppose that P(a) = True, P(b) = False and P(x) \(\Rightarrow\) P(y), \(\forall \)x, y\(\epsilon \)S satisfying x \(\le \)y, where \(\Rightarrow\) stands for logical implication .Which of the following statement cannot be true?
P(x) = True for all x\(\epsilon \)S such that x\(\epsilon \)0 such that x\(\neq\) b
b)P(x) = False for all x\(\epsilon \)S Such that x\(\neq\)a and x\(\neq\)c
c)P(x) = False for all x\(\epsilon \)S Such that b\(\le \)x such tht x\(\neq\)c
d)P(x) = False for all x\(\epsilon \)S Such that a\(\le \)x and b\(\le \)x
Let G be a non-planar graph with the minimum possible number of edges. Then, G has
9 edges and 5 vertices
b)9 edges and 6 vertices
c)10 edges and 5 vertices
d)10 edges and 6 vertices
Equation \({ e }^{ x }-1=0\) is required to be solved using Newton's method with an initial guess \({ X }_{ o }=-1\) . Then after one step of Newton;s method, estimate x1 of the solution will be given by
0.71828
b)0.36784
c)0.2.587
d)0.000
A has one share in a lottery in which there is 1 prize and 2 blanks.B has three shares in a lottery in which there are 3 prizes and 6 blanks compare the probability of A's success of that of B's success is
7:16
b)16:7
c)6:14
d)14:6
The Taylor series expansion of \(\frac { sin\quad x }{ x-\pi } at\quad x=\pi \quad \)is given by
\(1+\frac { (x-\pi { ) }^{ 2 } }{ 3! } \)
b)\(-1-\frac { (x-\pi { ) }^{ 2 } }{ 3! } +...\)
c)\(1-\frac { (x-\pi { ) }^{ 2 } }{ 3! } \)
d)\(-1+\frac { (x-\pi { ) }^{ 2 } }{ 3! } +...\)
Biotransformation of an organic compound having concentration x can be modeled using an ordinary differential equation \(\frac { dx }{ dt } +k{ x }^{ 2 }=0\), where k is the reaction rate constant. If x = a at t = 0, the solution of the equation is
\(x=a{ e }^{ -kt }\)
b)\(\frac { 1 }{ x } =\frac { 1 }{ a } +kt\)
c)\(x=a(1-e^{ -kt })\)
d)\(x=a+kt\)
The value of \(l=\int _{ 0 }^{ a }{ \int _{ \frac { { x }^{ 2 } }{ a } }^{ 2a-z }{ xy\quad dx\quad dy } } \)is
\(\frac { 3 }{ 8 } { a }^{ 4 }\)
b)\(\frac { 5 }{ 8 } { a }^{ 4 }\)
c)\(\frac { 7 }{ 8 } { a }^{ 4 }\)
d)\({ a }^{ 4 }\)
Eigen values of a matrix S = \(\begin{bmatrix} 3 & 2 \\ 2 & 3 \end{bmatrix}\) are 5 and 1.Wht are the eigen values of the m,atrix S2 = SS?
1 and 25
b)6 and 4
c)5 and 1
d)2 and 10
A man has to pay Rs.2000 in yearly instalments, each instalment being less than the earlier one by Rs.10. The amount of first instalment is Rs.200. In what time the entire amount will be paid?
14 yr
b)10 yr
c)12 yr
d)16 yr
The value \(\frac { 1 }{ 1+{ log }_{ x }(YZ) } +\frac { 1 }{ 1+{ log }_{ y }(XY) } +\frac { 1 }{ 1+{ log }_{ z }(XY) } is\)
1
b)\(\frac { 1 }{ { XY }^{ 2 } } \)
c)X=Yz
d)0
A train X leaves P at 6 am and reaches Q at 10 am. Another train Y leaves Q at 8 am reaches P at 11.30 am. At what time do the two trains cross each other?
8 : 24 am
b)8 : 56 am
c)9 am
d)None of these
A man, a woman and boy can together complete a piece of work in 5 days. If a man alone can do it in 12 days and a boy alone in 15 days, how long will a woman take to complete the work?
20 days
b)18 days
c)21 days
d)15 days
Simple interest on Rs.1680 for 4 yr at 7\(\frac{1}{2}\) % per annum is equal to the simple interest on Rs.1200 at 7% per annum for a certain period of time. The period of time is
7 yr
b)6yr
c)5\(\frac{1}{3}\)yr
d)7\(\frac{1}{4}\)yr
The average of three numbers is 52. The first is half of second is twice the third. The difference between the second and first number is
78
b)39
c)72
d)33
A shopkeeper marks his goods at 25% above the cost price. He sells \frac { 3 }{ 5 }th of his goods at marked price and remaining at 20% discount. Find his gain or loss per cent in the transaction.
7% gain
b)15% gain
c)10% gain
d)8% gain
The price of oil is reduced by 5%. How many litres of oil can now be bought for the money which was sufficient to buy 38 L of oil earlier?
42.5L
b)42 L
c)40 L
d)40.5 L
Find the unit digit in the expansion of \({ 42 }^{ 23 }\)
4
b)8
c)6
d)2
A question a main statement is followed by four statement: A,B,C and D. Choose the ordered pair of statement
A. A and B are selected.
B. X and Y are not selected in that order.
C. Y and X are selected in that order.
D. A and B are not selected.
CA
b)BC
c)AB
d)AD
Read the data given below and answer the questions that follow.
A building has six floors, referred to as 1-6 from lowest to highest. Six Companies L, M, O, P and Q occupy the six floors, not necessarily in that order, with necessarily in that order, with one company on one floor.
(i) N is the same number of floors from M as M is from L.
(ii) P and Q are not adjacent floors.
(iii) Q is on higher floor than O.
(iv) L is on floor 5.
Which of the following is(are) true?
1. M must be on either floor 3 or floor 4.
2. O must be on either floor 1 or floor 2.
3. Q must be on either floor 4 or floor 5.
1 only
b)2 only
c)3 only
d)1 and 3
Read the following information carefully and answer the questions.
Five dramas A,B,C,D and E have to be staged in 6 h where 1 h needs to be given per drama.
(1) A break of 1 has to be taken in the third or fourth hour.
(2) Drama show cannot be started with A and has to end in C.
(3) D has to follow B immediately with no break in between.
(4) A cannot be done immediately after D.
(5) A has to precede E immediately with no break in between.
Which drama is staged immediately after E?
A
b)E
c)C
d)None of these
A, B, C, D and E play a game of cards. A says to B, "IF you give me 3 cards, you will have as many as I have at this moment while if D takes 5 cards from you, he will have as many as E has", A and C together have twice as many cards as E has B and D together also have the same number of cards as A and C have taken together. If all together they have 150 cards, how many cards has C got?
28
b)29
c)31
d)35
Select the pair of Words, Which exhibits the same relationship between each other as the given pair of words.
Factitious : genuine ::
Assortment :mixed
b)Fame : obscurity
c)Ascetic : self-disciplined
d)Ascendancy :supremacy
Choose the most appropriate option to fill in the blank.
The law prohibits a person from felling a sandalwood tree even if it grows on one's own land, without prior permission from the government. As poor people cannot deal with the Governent, this legal provision leads to a rip-roaring business for ....... who care neither for the ........ nor for the trees.
obstrudes, offends
b)conceal, recedes
c)enjoins, fails
d)effaces, counts
Guess the meaning of the underlined words in the context and choose the antonym for the same.
Innate: All good qualities are not innate in man, but he has to cultivate most of them with effort.
Inborn
b)Acquired
c)Natural
d)Unlearned
At a cashier counter, 8 customers arrive on an average every 5 min. While cashier can serve 10 customers in 5 min. Select correct option
Expected time, a customer spend in the queue
4 min
b)3.2 min
c)3 min
d)2 min
The fixed per cost of land is Rs. 50000. The variable cost is Rs.10 per unit production. If selling price is Rs.20 per unit and production is 6000 units then, margin of safety is
1000 units
b)2000 units
c)3000 units
d)None of these
Dual of dual is
primal
b)dual
c)either dual or primal
d)None of these
Welding process, in which electrode is not consumed is
Tungsten Inert Gas (TIG) welding
b)MIG welding
c)Both (a) and (b)
d)None of the above
A device which holds and locates a workpiece during an inspection or for a manufacturing operation, is called
fixture
b)jig
c)templates
d)None of these
In piercing operation, clearance is given in
die
b)punch
c)Both (a) and (b)
d)None of these
In order to facilitate withdrawal of pattern
allowances are made on pattern
b)draft is provided on pattern
c)Both (a) and (b)
d)All of the above
Pearlite consists of
6.67% C and 93.33 ferrite
b)12% Fe and 87% cementite
c)13% C and 87% ferrite
d)l3% cementite and 87% ferrite
Air standard efficiency of an IC engine depends on
fuel
b)compression ratio
c)speed
d)All of these
Heat is absorbed from cold chamber to produce refrigerating effect from
evaporator
b)compressor
c)expansion valve
d)condenser
In a Francis reaction turbine, discharge from the runner is radial at outlet . Blade speed at inlet is 10 m/s and whirl velocity at inlet is 12 m/s. If power developed is 100 kW then discharge is
0.73 m3/s
b)0.57 m3/s
c)0.91 m3/s
d)0.83 m3/s
Two vessels A and B, each of volume 3 m3 may be connected together by a tube. Vessel A contains air at 7 bar and 95°C while B contains air at 3.5 bar, 205°C. The change of entropy when A is connected to B. Assume the mixing to be complete and adiabatic.
5.62 kJ/K
b)5.09 kJ/K
c)0.52 kJ/K
d)3.28 kJ/K
The latent heat of fusion of water at O°C is 335 kJ/kg. How much does the entropy of 1 kg of ice change as it melts into water, if heat is supplied reversibly to a mixture of ice and water at 0OC?
(ΔS)ice = -1.227 kJ/K
b)(ΔS)ice = 1.227 kJ/K
c)(ΔS)ice =0
d)Data is insufficient
At the inlet to a certain nozzle, the enthalpy of the fluid passing is 3000 kJ/kg and the velocity is 60 m/s. At the discharge end, the enthalpy is 2762 kJ/kg. The nozzle is horizontal and there is negligible heat loss from it
The velocity at exists from the nozzle
702.05 m/s
b)891.79 m/s
c)692.53 m/s
d)543.76 m/s
For a given counter flow heat exchanger, given m1 = m2 = 1 kg/s.
Th1 = 420oC, TC1 = 20oC, C1 = 1 kJ/kg-K, C2 = 4 kJ/kg-K
If effectiveness of heat exchanger is 75%, then heat transfer rate is (in kJ)
325
b)300
c)350
d)270
The shape factor of a hemispherical body placed on a flat surface with respect to itself is
zero
b)0.25
c)0.5
d)1.0
The temperature distribution within the thermal boundary layer over a heated isothermal flat plate is given by
\(\cfrac { T-{ T }_{ w } }{ { T }_{ \infty }-{ T }_{ w } } =\cfrac { 3 }{ 2 } \left( \cfrac { y }{ { \delta }_{ t } } \right) -\cfrac { 1 }{ 2 } { \left( \cfrac { y }{ { \delta }_{ t } } \right) }^{ 3 }\)
where, Tw and \({ T }_{ \infty }\) are the temperature of plate and free stream respectively and y is the normal distance measured from the plate. The local Nusselt number based on the thermal boundary layer thickness \({ \delta }_{ t }\) is given by
1.33
b)1.50
c)2.0
d)4.64
The cylindrical rod is being used as a fin. Given, To = 500 °C, T\(\infty \) = 30°C, h = 40 W/m2-K, K = 300 WIm-K and do = 0.5 cm.
Temperature of rod at point P, if distance from wall is 20 cm, is
89.6°C
b)91.2°C
c)86.43°C
d)99.3°C
A wire is kept in a hollow tube having radius 8 cm and thermal conductivity 0.2 W/m-K. (L = 1m). Diameter of wire is 1 cm and electric current flows through it I0 = 0.5 A, V, = 10 V, V2 = 4 V. Heat transfer across the cylinder (radial) is
10 W
b)4 W
c)3 W
d)6 W
How is the difference of pressure head h measured by a mercury-oil differential manometer expressed?
\(h=x(1-\frac{S_{g}}{S_{0}})\)
b)h=x(Sg-S0)
c)h=x(S0-Sg)
d)\(h=x(\frac{S_{g}}{S_{0}}-1)\)
In given figure, a shaft can transmit 16 N-m and its middlepoint has a pulley of weight 6 N. If tensile stress for shaft material is 280 MPa, what is diameter of the shaft according to maximum shear stress theory?
8.99 mm
b)6.99 mm
c)7.99 mm
d)5.99 mm
In above question value of factor of safety according to Goodman theory is
8.69
b)7.14
c)6.59
d)7.35
Consider a cam follower in which cam is rotating with uniform angular velocity \(\omega \) rad/s and follower moves in SHM. If displacement of follower is given as
\(y=\frac { s }{ 2 } \left( 1-cos\frac { \pi }{ \theta _{ 0 } } \theta \right) \)
where, \(\theta\) is angle turned by cam in time T, then
Maximum acceleration of follower is
\(\pm \frac { { \pi }^{ 2 }s }{ { \theta }_{ 0 }^{ 2 } } \frac { s }{ 2 } { \omega }^{ 2 }\)
b)zero
c)\(\pm \frac { { \pi }^{ 2 } }{ { \theta }_{ 0 }^{ 2 } } { s\omega }^{ 2 }\)
d)None of these
The connecting rod of an engine has length 300 mm between its centres. If mass of rod is 70 kg and mass moment of inertia is 7000 kq-rnrn". Centre of gravity is at 100 mm from big end.
For dynamical equivalent system, if one mass is placed at small end then other mass will be placed at
1.0 mm
b)1.2 mm
c)0.5 mm
d)0.7 mm
In case of a column
one end is hinged and other end fixed
b)one end is fixed and other end free
c)both ends are fixed rigid1y
d)both ends are hinged
A hollow shaft is subjected to a bending moment 30 kN-m and a torque of 40 kN-m. If tmax = 80 MN/m2 and d0 = 2di, then
d0 = 75mm
b)d0 = 100 mm
c)d0 = 180 mm
d)d0 = 150 mm
Bending moment at point B is
2 kN-m
b)6 kN-m
c)4 kN-m
d)None of these
For a two dimensional stress system, the coordinates of the centre of Mohr's circle are
\((\frac{\sigma_X-\sigma_Y}{2},0)\)
b)\((0,\frac{\sigma_X+\sigma_Y}{2})\)
c)\((\frac{\sigma_X+\sigma_Y}{2},0)\)
d)\((0,\frac{\sigma_X-\sigma_Y}{2})\)
The centre of awheel rolling on a plane surface moves with a speed vo. A particle on the rim of the wheel at the same level as the centre will be moving at speed
zero
b)v0
c)v0
d)\(\sqrt 2v_0\)
e)2v0
The generating function for the sequence 0, 1, 2, 4, 8, ...... is
\(\frac { 2z }{ 1+{ z }^{ 2 } } \)
b)\(\frac {1+3z }{ 1+{ 8}{ z } } \)
c)\(\frac { { Z }^{ 2 }+1 }{ { Z }^{ 2 }-1 } \)
d)\(\frac {z }{ 1+{ 2}{ z } } \)
Consider the set H of all 3\(\times\)3 matrices of the type
\(\left[ \begin{matrix} a & f & e \\ 0 & b & d \\ 0 & 0 & c \end{matrix} \right] \)
where, a,b,c,d,e, and f are real number and abc\(\neq \)0.Under the matrix multiplication operation the set S is
a group
b)a monoid but not group
c)a semi-group but not a monoid
d)neither a group nor a semi-group
Consider the set H of all 3\(\times\)3 matrices of the type
\(\left[ \begin{matrix} a & f & e \\ 0 & b & d \\ 0 & 0 & c \end{matrix} \right] \)
where, a,b,c,d,e, and f are real number and abc\(\neq \)0.Under the matrix multiplication operation the set S is
a group
b)a monoid but not group
c)a semi-group but not a monoid
d)neither a group nor a semi-group
Which one of the following is true for any simple connected undirected graph with more than 2 vertices?
No two vertices have the same degree
b)Atleast two vertices have the same degree
c)Atleast three vertices have the same degree
d)All vertices have the same degree
Match the following and choose the correct combination.
Group I | Group II |
E. Newton-Raphson method | 1. Solving non-linear |
F. Runge-Kutta method | 2. Solving linear simultaneous equations |
G. Simpson's Rule | 3.Solving ordinary differential equations |
H. Gauss elimination | 4. Numerical integration |
5. Interpolation | |
6. Calculation of eigen values |
E-6, F-1, G-5, H-3
b)E-1, F-6, G-4, H-3
c)E-1, F-3, G-4, H-2
d)E-5, F-3, G-4, H-1
A class of first year B.tech students is composed of four batches A, B, C and D, each consisting of 30 students. It is found that the sessional marks of students in Engineering drawing in batch C have a mean of 6.6 and standard deviation of 2.3. The mean and standard deviation of the marks for the entire class are 5.5 and 4.2 respectively. It is decided by the course instructer to normalize the mark o9f the students of all batches to have the same mean and standard deviation as that of the entire class. Due to this, the mark of a student in batch C are changed from 8.5 to
6.0
b)7.0
c)8.0
d)9.0
Consider likely applicability of Cauchy's integral theorem to evaluate the following integral counter clockwise around the unit circle C.
\(1=\oint { _{ c } } sec\quad z\quad dz,z\) being a complex variable. The value of I will be
l=0,singularity set \(\oint { . } \)
b)l-0, singularity set \(\left\{ \pm \frac { 2n+1 }{ 2 } \pi ,n=0,1,2,... \right\} \)
c)\(l=\frac { \pi }{ 2 } ,singularities\quad set=\left\{ \pm n\pi ;n=0,1,2,... \right\} \)
d)None of the above
Which of the following is a solution to the differential equation \(\frac { dx(t) }{ dt } +3x(t)=0?\)
\(x(t)=3{ e }^{ -t }\)
b)\(x(t)=2{ e }^{ -3t }\)
c)\(x(t)=-\frac { 3 }{ 2 } { t }^{ 2 }\)
d)\(x(t)=3{ t }^{ 2 }\)
\(\underset { x->\infty }{ lim } \left( \sqrt { { x }^{ 2 }+1 } -\sqrt { x+1 } \right) \)equals
0
b)\(\infty \)
c)1
d)e
The eigen values of a skew - symmetric matrix are
always zero
b)always pure imaginary
c)Either zero or pure imaginary
d)always real
A display of canned soup in a supermarket is such that the top layer contains one can and each lower layer has one more can than the layer above. If there are 12 layers, the total number of cans will be
72 cans
b)78 cans
c)81 cans
d)86 cans
If\(log=\frac { X }{ Y } =log\frac { Y }{ X } =log(X+Y),\quad then\)
X+Y=1
b)X-Y=0
c)b=\(\frac { a-1 }{ a } \)
d)a=b
A boat covers 25km upstream and 24 km downstream in 16 h while it covers 20 km upstream and 30 km downstream in \(15\frac { 1 }{ 2 } h\) . The speed of the current is
\(\frac { 1 }{ 2 } km/h\)
b)\(\frac { 3 }{ 4 } km/h\)
c)\(\frac { 1 }{ 8 } km/h\)
d)\(\frac { 2 }{ 3 } km/h\)
A and B workng together can finish a job in T days. If A works alone and completes the job he will take (T+5) days. If B works alone and completes the same job, he will take (T+45) days. Find T.
15 days
b)20 days
c)16 days
d)18 days
A certain sum becomes \( \frac{10}{9}\) times itself in one year. Find the rate of simple interest .
11\(\frac{1}{2}\)%
b)11\(\frac{1}{9}\)%
c)12\(\frac{1}{2}\)%
d)12\(\frac{1}{9}\)%
Seats of Physics, Chemistry and Mathematics in a school are in the ratio of 3 : 4 : 6. There is a proposal to increase these seats by 10% , 20% and 50% respectively. What will be the ratio of increased seats?
11 : 16 : 30
b)16 : 11 : 30
c)16 : 12 : 15
d)12 : 16 : 30
If cash discount is 10%, a book bought for Rs.9 is valued at
Rs.12
b)Rs.11
c)Rs.10
d)Rs.8
If p is a% more than Q and Q is b% less than p, then
(1/a)-(1/b) = 100
b)1/a-1/b = 1/100
c)1/a+1/b = 100
d)1/b-1/a = 1/100
Find the numbers of prime factors contained in the product of \({ 23 }^{ 11 }\times { 7 }^{ 4 }\times { 3 }^{ 5 }\)
25
b)17
c)30
d)20
A question consists of five statements followed by options consisting of three statement put together in a specific order. Choose the option which indicates a valid argument, that is where the third statement is a conclusion drawn from the preceding two statements.Either the orangutan is not angry, or he frowns upon the world.
A. The orangutan frowns upon the world.
B. The orangutan is not angry.
C. The orangutan does not frown upon the world.
D The orangutan is angry.
CB only
b)DA only
c)AB only
d)CB and DA
Read the data given below and answer the questions that follow.
A building has six floors, referred to as 1-6 from lowest to highest. Six Companies L, M, O, P and Q occupy the six floors, not necessarily in that order, with necessarily in that order, with one company on one floor.
(i) N is the same number of floors from M as M is from L.
(ii) P and Q are not adjacent floors.
(iii) Q is on higher floor than O.
(iv) L is on floor 5.
If O and Q are not on adjacent floors, which of the following is true?
M must be on floor 3
b)N must be on floor 3
c)O must be on floor 2
d)None of the above
Five men and one woman, named Pratibha including a Geologist, were recently invited as experts to an Internation conference held at Dubai on the state of Global Warming. Read the following statements carefully to answer the question.
(1) Kamal debated Lala and the Meteorologist at the beginning of the conference.
(2) Pratibha is not the Physicist.
(3) Manav is not an Urban planner.
(4) Jay is neither the Metrologist.
(5) At the end of the conference, the six experts had a general discussion around a table. The debaters were the Physicist, Kamal, Jay, the zoologist, the male urban planner and Prakash.
What is the profession of the only female member in the group?
Biologist
b)Geologist
c)Zoologist
d)Physicist
A number of friends decided to go on a picnic and planned to spend Rs.96 on eatables. Four of them, however, did not turn up. As a result, the remaining ones had to contrbute Rs.4 each extra. The number of those who attended the picnic was
8
b)12
c)16
d)24
Select the pair of words, which exhibits the same relationship between each other as the given Capitalized pair of words.
BLURRED : CONFUSED :
muddled : unclear
b)dangerous : adequate
c)scam : clarity
d)abatement : significant
Choose the option that completes the sentence most meaningfully and appropriately.
The new induction in the team was just a .......... Therefore, the organization decided not to give him responsibility for some time.
boy
b)youth
c)graduate
d)neophyte
Guess the meaning of the underlined words in the context and choose the antonym for the same.
Fickle: He remained fickle about choosing a career and kept dropping one for the other.
Changeable
b)Unsure
c)Resolute
d)Undecided