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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
A statement which is either true or false is called
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Induction
Deduction
Propositicon
Logic
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Question # 2
f(x) = ax + b will be an identity function if
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a = 1 , b = 1
a = 1 , b = 0
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Question # 3
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3
6
0
None of these
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Question # 4
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Question # 5
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Question # 6
The parametric equations of a circle are
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Question # 7
The function {f(x,y)|y = ax2 +bx +c} is
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One-one function
Constant function
Onto function
Quadratic function
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Question # 8
If the matrices A and B have the order 1 x 10 and 10 x 1 then order of AB is
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1 x 1
1 x 10
10 x 10
10 x 1
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Question # 9
The seventh term of (x3+1/x)8is
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71
-22
27
28
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Question # 10
Domain of tangent function is
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Question # 11
How many signals can be given by 5 flags of different colours, using 3 flags at a time
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120
60
24
15
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Question # 12
(a
-1
)
-1
=
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a
-1
a
-a
None of above
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Question # 13
How many terms of the A.P 3,6,9,12,15...........must be taken to make the sum 108
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8
6
7
36
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Question # 14
If x,y are two -ve distinct numbers then
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A>G>H
A<G<H
A=G=H
None of these
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Question # 15
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cos 2x
2 cos 2x
2 sin2x
-2 cos2x
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Question # 16
5x
3
+ 3x - is a ______
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Polynomial of degree 3
Polynomial of degree 2
Polynomial of degree 1
Polynomial of degree 0
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Question # 17
The different of tan x is
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sec2 x
ln |sec x|
sec2 xdx
-cos ec2 x
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Question # 18
The square matrix A is skew-symmetric when At =
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-B
-C
-A
-D
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Question # 19
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Question # 20
The period of tan x/7 is
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3π
7π
15π
5π
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Question # 21
Five engineering, four mathematics, two chemistry books are placed on a table at random.The probability that the books of each kind are all together is
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Question # 22
Name the property used in 1000 x 1 = 1000
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additive inverse
multiplicative inverse
additive identity
multiplicative identity
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Question # 23
sin(a-90°)=______;
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sina
cosa
-sinθ
-cosa
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Question # 24
The equation ax
2
+ 2hxy + by
2
+2gx + 2fy + c =0 represents an ellipse if
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Question # 25
The parabolay2=4ax open up if
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a<0
a≠0
a>0
All are incorrect
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Question # 26
Three unbiased coins are tossed. Then the probabilities of getting two heads is
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3/8
1/8
1/4
None of these
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Question # 27
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Question # 28
The slope of the tangent at the point (h,h) of the circle x2 +y2 =a2 is
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0
1
-1
h
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Question # 29
cot
θ
= sin 2
θ
if
θ
=
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Question # 30
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1
12
5
29
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Question # 31
E-radius corresponding to < C is
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