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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
Which is an explicit function
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y = x
2
+ 2x - 1
x
2
+ xy + y
2
= 2
x
2
+ y
2
= xy + 2
All are
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Question # 3
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Question # 4
Minor of an element a
ij
is denoted by
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M
ij
A
ij
|A|
None of these
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Question # 5
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Question # 6
The symbol of irrational is
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W
N
Q
Q
'
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Question # 7
The probability that a slip of number divisible by 4 is picked from the slips bearing numbers 1, 2, 3, ...10 is
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1/5
1/4
1/3
1/2
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Question # 8
What is the value of cos (cos-1 2) ?
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√2
1/2
undefine
0
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Question # 9
The sum of the even coefficients in the expansion (1 + x)
n
is
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n
2
2
n-2
2
n-1
2
n
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Question # 10
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3/8
7/8
1/8
None
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Question # 11
Unit vector in the positive direction of x-axis is
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Question # 12
The sum of the focal distance from any point on the ellipse 9x2 +16y2 =144 is
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32
16
18
8
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Question # 13
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Question # 14
The number of terms in the expansion of (a + b)
9
is
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10
11
9
12
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Question # 15
Associative law of multiplication
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ab = ba
a(bc) = (ab) c
a(b+c) = ab + ac
(a + b)c = ac + bc
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Question # 16
In natural logarithm the base is
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1
0
10
e
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Question # 17
In (x + iy), y is called as
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Imaginary part
Complex number
Real part
None of above
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Question # 18
The number of proper subset of A ={a.b.c.d} is
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3
6
8
15
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Question # 19
The ortho center of triangle whose vertices are (0,0)(3,0)(0,4) is
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(0,0)
(1,1)
(2,2)
(3,3)
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Question # 20
The sum of indicated terms of a sequence is called
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Arithmetic series
Series
Harmonic series
None of these
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Question # 21
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4(x
3
- 3x
2
)
3
+ c
3x
2
- 6x + c
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Question # 22
The area of sector with central angle of 1 radians in a circular region whose radius is 2 m is
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Question # 23
If three unequal numbers p, q, r are in H.P. and their squares are in A.P., then the ration p : q : r is
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Question # 24
The set {1, -1, 1, -1}, form a group under
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Addition
Multiplication
Subtraction
None
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Question # 25
The distance between the points (0,0) and (x,y) is
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x
2
+ y
2
x
y
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Question # 26
Domain of sin
θ
is
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Set of real numbers
Set of complex numbers
Set of natural numbers
Set of even numbers
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Question # 27
A circle passing through the vertices of any triangle is called
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Circumcirle
Incircle
Escribed circle
Unit circle
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Question # 28
Which shape of the following objects are approximately parabolic ares?
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Light reflectors
Force
Weight of the pendul
None of these
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Question # 29
The sum if 1,3,5,7,9........ up to 20 terms is
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400
472
563
264
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Question # 30
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Question # 31
The expansion (1 + x)
-3
holds when
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|x| > 1
|x| < 1
x < 1
x > 1
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