TANCET ME Online Mock Test

TANCET 2017  ME Question Answers Practice Test for the admission in Master of Engineering (M.E.) / Master of Technology (M.Tech.) / Master of Architecture (M.Arch.) / Master of Planning (M.Plan.) Degree Programme

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TANCET  ME Entrance MCQ Questions Answers for all India and state level PG Entrance exams: This mock test having 60 question each set Engineering Mathematics and Basic Engineering & Sciences, with four choices. On each click on answers system will tell you where the answers is correct or incorrect. You can view this TANCET  ME Entrance test question details at the end of the quiz.



This TANCET ME 2017 entrance questions answers are applicable for any kind of TANCET ME Entrance 2016. You can practice as much as you can to gather knowledge of how to answers TANCET ME Objective question are from  type papers in short time and this can be a big factor for cracking Engineering Entrance exam. you can also check TANCET ME Previous Year Solution

TANCET M.E. Engineering Mathematics Question Answers

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Your answers are highlighted below.
Question 1
If the imaginary part of the analytic function f(z) = u + iv is constant, then       
A
u is not a constant
B
f(z) is not a complex constant
C
f(z) is equal zero
D
u is a constant
Question 2
The stationary point of f(z, y) = x2 – xy + y2 – 2x + y is       
A
(0, 1)
B
(1, 0)
C
(-1, 0)
D
(1, -1)
Question 3
ʃ x cosx dx is      
A
x sin x - cos x
B
x sin x + cos x
C
x sin x – x cos x
D
x sin x + x cos x
Question 4
For the following data :X : 0   2    4    6Y : -1   3   7     11The straight line y = mx + c by the method of least square is      
A
y = - 2x -1
B
y = x – 1
C
y = 1 – 2x
D
y = 2x – 1
Question 5
The velocity v (km/ min) of a train which start from rest, is given at fixed intervals of time t(min) as follows:t: 2     4     6     8     10     12     14     16     18     20v: 10  18   25  29   32      20      11     5       2      0The approximate distance covered by Simpson’s 1/3 rule is      
A
306.3
B
309.3
C
292.0
D
307.3
Question 6
Find the cubic polynomial by Newton’s forward difference which takes the followingx:         0    1    2    3f(x):     1     2    1    10Then f(4) is      
A
40
B
41
C
39
D
42
Question 7
A lot consists of ten good articles, four with minor defects and two with major defects. Two articles are chosen from the lot at random (without replacement). Then the probability that neither of them good is     
A
5/8
B
7/8
C
3/8
D
1/8
Question 8
If atleast one child in a family with two children is a boy, then the probability that both children are boys is     
A
3/4
B
1/3
C
1/4
D
1/2
Question 9
Stoke’s theorem establishes a relationship between     
A
line and double integrals
B
line and surface integrals
C
double and surface integrals
D
surface and volume integrals
Question 10
If the elements of 3 parallel lines of a determinant consist of m, n and p terms respectively, then the determinant can be expressed as      
A
the sum of m + n + p determinants
B
the sum of m x n x p determinants
C
the product of m + n + p determinants
D
the product of m x n x p determinants
Question 11
If A and B are orthogonal matrices, then     
A
AB is orthogonal
B
AB is singular
C
AB is not orthogonal
D
AB is indeterminate
Question 12
The curve of which the normal makes equal angles with the radius vector and the initial ine is     
A
a cardioids
B
a cycloid
C
a circle
D
a rectangular hyperbola
Question 13
In Jacobi’s iteration method, to get the (r + 1)th iterates, we use the     
A
values of the r th iterates
B
values of the (r – 1)th iterates
C
values of the (r + 1)th iterates
D
latest available values
Question 14
Geometric mean of two observations can be calculated only if       
A
both the observations are positive
B
one of the two observations is zero
C
one of them is negative
D
both of them are zero
Question 15
Ogives for more than type and less than type distributions intersect at       
A
mean
B
median
C
mode
D
origin
Question 16
For a set values      
A
Mean deviation is always less than standard deviation
B
Mean deviation is always greater than standard deviation
C
Mean deviation is always equal to standard deviation
D
None of the above
Question 17
A coin is tossed 6 times. The probability of obtaining heads and tails alternately is     
A
1/64
B
½
C
1/32
D
None of the above
Question 18
A simple of 25 units from an infinite population with standard deviation 10 results into a total score of 450. The mean of the sampling distribution is      
A
45
B
50
C
18
D
1.8
Question 19
Divergence of curl of any vector is equal to      
A
one
B
zero
C
infinity
D
not defined
Question 20
If two matrices A and B are Equivalent, then      
A
they are of same order
B
they are of the same rank
C
they have the same number of elements
D
they are of the same order and rank
Question 21
The value of m such that 2x – x2 + my2, may be harmonic is     
A
3
B
1
C
2
D
4
Question 22
Image of circle |z|= 2, by the transformation w = z + 2 + 3i, is     
A
|w + (2 + 3i)|= 2
B
|w – (2 + 3i)|= 3
C
|w – (2 + 3i)|= 2
D
|w|= 1
Question 23
Expansion of exy in power of (x – 1) and (y – 1) upto 1st degree is     
A
e(1 + x + y)
B
e [1 + (x-1)+(y – 1)]
C
e[1 + x(x – 1) – (y – 1)]
D
1 + (x- 1) + (y – 1)
Question 24
Divide 24 into 3 parts such that the continued product of the 1st, square of the 2nd and cube of the 3rd may be minimum      
A
12, 3, 9
B
14, 6, 4
C
4, 8, 12
D
4, 3, 17
Question 25
Best fit for the points (-1, 1), (0, 0), (1, 1), (2, 4) is     
A
y = -x + 1
B
x – y – 1 = 0
C
y – x – 1 = 0
D
y = x
Question 26
If P(1) = 0.5, P(2) = 0.3 and P ( ) = 0.15 then P(A/2) =      
A
0.3
B
0.4
C
0.9
D
0.5
Question 27
If 15% of a firm’s employees are B.E. degree holders, 25% are M.B.A. degree holders and 5% have both the degrees, then the probability of selecting a B.E. Degree holder, when the selection is confined to M.B.A.’s….?     
A
0.2
B
0.3
C
0.4
D
0.5
Question 28
A and B are 2 events associated with an experiment. If P(1) = 0.4 and P  B)= 0.7, find P(2) when A and B are mutually exclusive      
A
0.6
B
0.75
C
0.5
D
0.3
Question 29
If AAT = I, then the matrix A is called      
A
Idempotent
B
Symmetric matrix
C
Orthogonal matrix
D
Tri- diagonal matrix
Question 30
If the real part of the analytic function f(z) = u + iv is constant, then      
A
v is not a constant
B
f(z) is not a complex constant
C
v is a constant
D
f(z) I equal to zero
Question 31
If the density function of a random variable X is given by f(x) = kx (1-x), 0  then Arithmetic Mean (AM) is    
A
1
B
2
C
1/2
D
1/4
Question 32
The value of ʃc xdx + ydy + zdz where C is the circle x2 + y2 +z2 = 16, z = 0 is       
A
B
16π
C
64π
D
0
Question 33
If the rank of the matrix of order 5 x 4 is 3, then the value of the determinant of the sub- square matrix of order 4 is      
A
0
B
1
C
4
D
5
Question 34
1, -1, 5 are eigen values of the matrix A, then eigen values of the matrix A-1 + 21 are 
A
3, 1, 7
B
3, 1, 11/5
C
1, -1, 1/5
D
1, -1, 7
Question 35
If f(z) = u + iv is an analytic function, then       
A
only u is harmonic function
B
only v is harmonic function
C
both u and v are harmonic function
D
both u and v are not harmonic function
Question 36
The residue of the function e1/z at the singular point z = 0 is     
A
0
B
-1
C
1
D
Question 37
The radius of curvature of the curve x2 + y2 + 4x – 21 = 0 is    
A
2
B
5
C
1/2
D
1/5
Question 38
The minimum value of x2 + y2 + 6y + 12 is     
A
– 3
B
3
C
12
D
20
Question 39
Which statistical constant is independent of origin but depends upon scale factor?      
A
Mean
B
Variance
C
Correlation coefficient
D
Mode
Question 40
A bag contains 10 white and 15 black balls. Two balls are drawn in succession. The probability that one of them is white and the other black is     
A
¼
B
½
C
¾
D
-1
Question 41
The regression lines x on y is 3x + y = 10 and y on x is 3x + 4y = 12. The correlation coefficient is       
A
½
B
-1/2
C
¼
D
-1/4
Question 42
In a Poission distribution, if 3P(X = 2) = P(X = 4), then the value of its parameter ƛ is     
A
3
B
4
C
5
D
6
Question 43
The correlation coefficient is the ………. of the regression coefficients.     
A
arithmetic mean
B
weighted arithmetic mean
C
geometric mean
D
harmonic mean
Question 44
Power method is used to find       
A
all eigen values only
B
all eigen vectors only
C
all eigen values and eigen vectors
D
numerically largest eigen value and the corresponding eigen vector
Question 45
Which of the following formulas is a particular case of Runge- Kutta formula of second order?     
A
Taylor series formula
B
Picard’s formula
C
Euler’s modified formula
D
Milne’s predictor formula
Question 46
A card is drawn from a well- shuffled pack of playing cards. What is the probability that it is either a spade or an ace?      
A
½
B
13/52
C
4/13
D
1/13
Question 47
The point (0, 1) is a point at which the function 2(x2 – y2) – x4 + y4 has a       
A
local maximum
B
Local minimum
C
Global maximum
D
Saddle point
Question 48
The root mean square deviation of set of values is the       
A
least about their mean
B
maximum about their mode
C
maximum about their mean
D
least about their median
Question 49
One marks man has an 80% probability of hitting target, while another has only a 70% probability of hitting the target. The probability of the target being hit (at least once) if both marksmen fire at it simultaneously is given by      
A
0.94
B
0.95
C
0.96
D
1.00
Question 50
What is the highest degree of a polynomial whose definite integration using Simpson’s 1/3 – rule gives the exact value?     
A
1
B
2
C
3
D
4
Question 51
A point of local maximum for the curve x3y = 3x4 + 1 is     
A
(-1, -4)
B
(1, 4)
C
(1, -4)
D
(-1, 4)
Question 52
The measure of Kurtosis of the normal curve is    
A
1
B
3
C
-3
D
Question 53
If the regression line are 8x + 10y + 66 = 0 and 40x + 18y = 214, the correlation coefficient is     
A
.6
B
.5
C
-.5
D
-.6
Question 54
The equations x + y = 1, 2x + 2y – 2 = 0 have      
A
no solution
B
unique solution
C
only two solutions
D
infinite number of solutions
Question 55
The critical points of the transformation w = (z – 1) (z – 2) is      
A
z = 1
B
z = 2
C
z = 3
D
z = 4
Question 56
The set of two positive numbers whose sum is 16 and sum of whose cubes is maximum is      
A
(6, 10)
B
(8, 8)
C
(4, 12)
D
(9, 7)
Question 57
Out of 15 applications for a job, there are 6 woman and 9 men. It is desired to select 2 person for the job. The probability that atleast one of the selected persons is woman is     
A
21/35
B
67/105
C
27/34
D
23/ 35
Question 58
The standard deviation of a set of 10numbers is 15. If each value is the set is increased by 4, then the standard deviation of the new set of 10 numbers is      
A
17
B
19
C
15
D
13
Question 59
A candidate is required to answer 7 questions out of 12 question which are divided into 2 group, each containing 6 question. He is not permitted to attempt more than 5 question from each group. The number of different values of answering is      
A
560
B
780
C
920
D
840
Question 60
Simpson’s one third rule integration is exact for all polynomial of degree not exceeding.     
A
2
B
3
C
4
D
5
Question 61
A box contains 5 yellow, 4 black and 3 white balls. There balls are drawn at random. The probability that no black ball is selected is    
A
1/66
B
7/66
C
7/55
D
1/55
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TANCET M.E. Basic Engineering & Sciences Question Answers

Congratulations - you have completed TANCET M.E. Basic Engineering & Sciences Question Answers.You scored %%SCORE%% out of %%TOTAL%%.Your performance has been rated as %%RATING%%
Your answers are highlighted below.
Question 1
Programming language are      
A
Machine- independent
B
Machine- dependent
C
Assembly language
D
Machine language
Question 2
A set of system programs which enable a user to access the computer easily     
A
Assemble
B
Machine Language
C
Operating system
D
Application programs
Question 3
The movement is sensed by two wheels in two perpendicular directions in      
A
a joystick
B
a mouse
C
stylus
D
a graphical tablet
Question 4
Two dimensional and three dimensional pictures are created from the mathematical representation of the objects in       
A
cognitive graphics
B
image processing
C
generative graphics
D
interactive graphics
Question 5
In a skew- symmetric matrix, the diagonal values     
A
sum upto zero
B
are all zero
C
are all negative
D
are all purely imaginary
Question 6
If ф = x + y + z, gradient of ф is      
A
xi + yj + zk
B
I + j + k
C
x + y + z
D
3
Question 7
A hologram is mainly      
A
a mirror
B
an interference pattern on a film
C
an assembly of parallel mirrors
D
a laser
Question 8
200 grams of radioactive substance of half life 3 years will reduce to 25 grams in      
A
9 years
B
6 years
C
¾ years
D
9.5 years
Question 9
Electroplating occurs at the      
A
Cathode only
B
Anode only
C
Cathode and anode
D
Cathode or anode
Question 10
Important property of a lubricating oil is     
A
thermal conductivity
B
osmosis
C
viscosity
D
entropy
Question 11
A cell which changes chemical energy into electrical energy is called      
A
a reversible cell
B
voltaic cell
C
a concentration cell
D
a galvanic cell
Question 12
Octane rating of gasoline indicates     
A
the ability to resist engine knocking
B
the fraction of unsaturated hydrocarbons in gasoline
C
the fraction of octane in gasoline
D
the percentage of saturated hydro carbons is gasoline
Question 13
Dispersion of pigment in a varnish gives      
A
paint
B
porcelain
C
enamel
D
drier
Question 14
A stone is thrown vertically upwards with a velocity of 19.6 m/sec from the ground. What is the maximum height to which the stone will rise?       
A
9.8 m
B
39.2 m
C
9.6 m
D
19.6 m
Question 15
A body of mass m is moving down a rough inclined plane (coefficient of friction, μ) making an angle Ɵ with the horizontal. It will experience an opposing frictional force of      
A
μ mg sin Ɵ
B
μ mg
C
μ mg cos Ɵ
D
mg cos Ɵ
Question 16
The number of nearest equidistant neighbours that an atom has in a unit cell is called      
A
primitives
B
density of lattice
C
lattice parameters
D
coordination number
Question 17
Unit cell dimensions are a, b, c. If 2a, 3b, 4c are the intercepts of a plane made on crystallographic axes, Miller indices of the plane are proportional to      
A
3, 4, 6
B
6, 4, 3
C
2, 3, 4
D
4, 3, 2
Question 18
Net magnetization observed is zero or nearly zero in      
A
ferromagnetic materials
B
ferromagnetic and paramagnetic materials
C
ferromagnetic and diamagnetic materials
D
antiferromagnetic materials and paramagnetic materials
Question 19
In insulators, valence bands and conduction bands      
A
overlap
B
have large energy gap
C
have small energy gap
D
have zero energy gap
Question 20
Ferrites are    
A
iron oxides
B
metallic oxides
C
mixture of metallic and iron oxides
D
non oxides
Question 21
The process of determining the relative positions of various points in the vertical plane is      
A
theodilite surveying
B
chain surveying
C
leveling
D
planning
Question 22
Bond in which the bricks are laid with length perpendicular to the face of the wall is     
A
Header bond
B
Stretcher bond
C
English bond
D
Flemish bond
Question 23
The rise in the centre of the carriage way compared to the level of the edges is called      
A
Camber
B
Shoulder
C
Carriage height
D
Height of the road
Question 24
Framed structure where a number of straight members are connected in triangular shape is called       
A
Strut
B
Post
C
Truss
D
Arch
Question 25
In oxidation pond the treatment of sewage is by the action of      
A
digested sludge and supernatant liquid
B
aerobic bacteria and algae in the presence of sunlight
C
Chlorine and algae in the presence of sunlight
D
alum and ferrous sulphate in the presence of sunlight
Question 26
Unix for flux and magnetomotive forces are      
A
Webers and Ampere- turns respectively
B
Ampere- turns and Webers respectively
C
Webers and Newton respectively
D
Farads and Ampere- turns respectively
Question 27
The operations of addition, multiplication differentiation and integration can be done by using       
A
Multivibrator
B
NAND gate
C
Differential amplifier
D
Operational amplifier
Question 28
The fourth band in the colour coding of a resistor indicates      
A
the fourth digit of the resistance value
B
the third, fourth and fifth digits of the resistance value
C
the impedance
D
the tolerance
Question 29
Capacity of a material to absorb energy is      
A
plasticity
B
resilience
C
malleability
D
toughness
Question 30
Sequential production of electricity and steam or heat energy from the same fuel source is called      
A
Regeneration
B
Waste recovery
C
Cogeneration
D
Degeneration
Question 31
The amount of refrigeration produced by melting one tonne of ice in 24 hours is      
A
24 tonnes of refrigeration
B
1 tonne of refrigeration
C
100 tonnes of refrigeration
D
one thermal unit of refrigeration
Question 32
A group of CNC machines interconnected by a materials handling system is called      
A
Flexible manufacturing system
B
CAM system
C
CIM system
D
CNC system
Question 33
Instructions are given to computers in only binary numbers in       
A
High level languages
B
Machine level languages
C
Assembly languages
D
Special purpose languages
Question 34
Unix operating system is written in      
A
Fortran
B
Pascal
C
Machine languages
D
C languages
Question 35
2’s complement of 10101 is     
A
11101
B
01010
C
10111
D
11000
Question 36
Which of the following properties is NOT true of X- rays?       
A
They are affected by electric fields
B
The affect the photographic plates
C
They ionise the gasses through which they pass
D
They are not affected by magnetic fields
Question 37
Moderators are used in nuclear reactors to      
A
stop the chain reaction
B
accelerate the neutrons
C
to produce neutrons
D
slow down the neutrons
Question 38
The quantum numbers (n, I, mo, ms) of the two electrons of Helium atom are given by      
A
(1, 1, 1, ½) and (1, 1, 1, - ½)
B
(1, 0, 0, ½) and (1, 0, 0, - ½)
C
(1, 1, 0, ½) and (1, 1, 0, - ½)
D
(1, 0, ½, 0) and (1, 0, - 1/2, 0)
Question 39
Different colours seen in a soap film when it is viewed in reflected sunlight. This is due to the phenomenon of      
A
Polarisation
B
Diffraction
C
Scattering
D
Interference
Question 40
The main two constituents of Portland cement are     
A
Gypsum and Lime
B
Aluminium and Magnesium oxide
C
Lime and Silica
D
Silica and Gypsum
Question 41
The process in which dissolved iron and manganese are removed by allowing air to be dissolved in water is     
A
aeration
B
deaeration
C
sublimation
D
reduction
Question 42
In leaded petrol, tetraethyl lead is added to petrol       
A
to decrease the antiknocking property
B
to improve octane number
C
to ease combustion
D
to decrease octane number
Question 43
Thermosetting polymers       
A
are linear
B
cannot be remoulded
C
are formed by addition polymerization
D
here chains linked by hydrogen bonds
Question 44
Electrochemical cells stop working after sometime because      
A
the redox reaction is completed
B
the redox reaction is not completed
C
the electrodes are corroded
D
the concentration of reactive ions are reduced
Question 45
A 200 Kg block is in contact with a plane inclined at 300 to the horizontal. A force P, parallel to and acting up the plane, is applied to the body. If the coefficient of static friction is 0.20, the value of P to just cause motion up the plane is    
A
1.35 Kg
B
13.5 Kg
C
135 Kg
D
530 Kg
Question 46
A particle of mass of 10 Kg is moving along the circumference of a circle of radius10m. If the tangential velocity of the particle is 5 m/sec, then the Kinetic energy gained by the body in 10 rotations is 
A
500 J
B
0 J
C
400 J
D
1250 J
Question 47
The packing factor for ϒ- iron is       
A
0.34
B
0.52
C
0.68
D
0.74
Question 48
Which one among the following is a thermoset material?       
A
Rubber
B
Nylon
C
Urea formaldehyde
D
Teflon
Question 49
Which metal among the following would not undergo corrosion?      
A
Copper
B
Gold
C
Silver
D
Iron
Question 50
Domain structure is exhibited by     
A
ferromagnets
B
paramagnets
C
diamagnets
D
both dia and paramagnets
Question 51
At absolute zero, the probability of occupation of energy levels below the Fermi energy level, by electrons, is      
A
1
B
½
C
1/3
D
¼
Question 52
Density index of a material is      
A
greater than one
B
less than one
C
equal to one
D
indeterminate
Question 53
The constituent of cement that imparts quick setting quality to cement is       
A
Magnesia
B
Iron oxide
C
Alumina
D
Silica
Question 54
A surveyor’s marks cut on a stone or rock or any reference point to indicate a level in a levelling survey is called      
A
Reduced level
B
Change point
C
Levelling mark
D
Bench mark
Question 55
According to the united States Bureau of soil classification, the soil is designated as ‘coarse clay’ if the particle size varies from       
A
0.0001 mm to 0.002 mm
B
0.02 mm to 0.06 mm
C
0.2 mm to 0.6 mm
D
0.6 mm to 2 mm
Question 56
Two capacitors A and B are placed in series. Capacitors CA = 100 μF and Ca = 50 μF. The maximum energy stored in the circuit when 240 V, 50 Hz supply is applied to the circuit is      
A
19.2 J
B
1.92 J
C
192 J
D
12.9 J
Question 57
“In a Delta/ Star transformation of meshes, it must be remembered that the resistance of each arm of the star is given by the ______________ of the resistance of the two delta  sides that meet at its ends divided by the ______________ of the three delta resistances”      
A
product, product
B
sum, product
C
product, sum
D
sum, sum
Question 58
An alternating voltage of (8 + j6)V applied to a series a.c. circuit and the current passing is(2 + j5)A. The impedance of the circuit is     
A
8.6 Ω
B
18.6 Ω
C
1.68 Ω
D
1.86 Ω
Question 59
A moving coil ammeter is wound with 40 turns and gives full scale deflection with 5A. How many turns would be required on the same bobbin to give full scale deflection with 20A?     
A
10
B
40
C
12
D
21
Question 60
The percentage o carbon in eutectoid steel is      
A
0.8
B
0.4
C
0.02
D
1.2
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