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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
A number A is called the arithmetic mean between a and b if a, A, b is ______
Choose an answer
Arithmetic sequence
Geometric sequence
Harmonic sequence
Arithmetic sequence
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Question # 2
sin h x = ___________
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Question # 3
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Question # 4
Three dice are thrown together. The probability of getting a total of at least 6 is
Choose an answer
103 / 108
10 / 216
93 / 108
None of these
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Question # 5
The set {1, 2, 3, 4, ....} is called
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Set of Natural numbers
Set of whole numbers
Set of rational number
Set of irrational numbers
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Question # 6
The coefficient of x
18
in (ax
4
-bx)
9
after expansion is
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84a
3
b
6
22a
3
b
6
27a
4
b
5
28a
3
b
6
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Question # 7
The equation of the circle with centre (h, k) and radius r is
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(x+ h)
2
+ (y+ k)
2
= r
2
(x+ h)
2
+ (y - k)
2
= r
2
(x - h)
2
+ (y+ k)
2
= r
2
(x - h)
2
+ (y - k)
2
= r
2
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Question # 8
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Question # 9
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[0, 0, 0]
[1, 0, 0]
[0, 1, 0]
[0, 0, 1]
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Question # 10
tan(2π+θ) = ________;
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tanθ
-tanθ
cotθ
-cotθ
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Question # 11
By expressing sin 125° in terms of trigonometrical ratios, answer will be
Choose an answer
sin 65° = 0.9128
sin 55° = 0.8192
sin 70° = 0.5384
sin 72° = 0.1982
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Question # 12
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0
-1
1
-2
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Question # 13
Minor of an element a
ij
is denoted by
Choose an answer
M
ij
A
ij
|A|
None of these
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Question # 14
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12
13
14
15
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Question # 15
The area under the curve y = 1/x
2
between x = 1 and x =4 is:
Choose an answer
-25
0.75
-0.35
-10
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Question # 16
Choose an answer
-10
10/7
-10/7
-7/10
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Question # 17
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Question # 18
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Question # 19
∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of
Choose an answer
Commutative law of addition
Associative law of addition
Additive identity
Additive inverse
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Question # 20
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In(x
2
- x + 1) + c
In(2x - 1) + c
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Question # 21
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Question # 22
Domain of tangent function is
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Question # 23
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I and III quadrants
II and III quadrants
I and II quadrants
II and IV quadrants
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Question # 24
Onto function is also called
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Binjective function
Injective function
Surjechive function
None of these
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Question # 25
The equation of the parabola with directirx x = 2 and the axis y = 0 is
Choose an answer
y
2
= 8x
y
2
= -8x
y
2
= 4x
y
2
= -4x
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Question # 26
The number of significant numbers which can be formed by using any number of the digits 0, 1, 2, 3, 4 but using each not more than once in each number is
Choose an answer
260
356
410
96
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Question # 27
i
101
=
Choose an answer
i
i
2
-i
-1
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Question # 28
A matrix in which the number of rows is not equal to the number of columns is called a
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Diagonal matrix
Rectangular matrix
Square matrix
Scalar matrix
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Question # 29
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x
-2
+ c
not possible
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Question # 30
The distance of the point (2, -3) from x-axis is
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-2
-3
2
3
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Question # 31
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