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Online Tests
Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
In how many ways can 5 persons be seated at a round table
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5!
4!
3!
120
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Question # 2
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6x - 2 + c
x
3
- x
2
+ x + c
6x - x
2
+ c
6x
3
- x
2
+ c
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Question # 3
cos
-1
(cos x) =
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x
cos x
x = 1/x
cos
-2
x
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Question # 4
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Reciprocal equation
Exponential equation
Radical equation
None of these
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Question # 5
If f(x) = x
2
-x then f(0) is
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0
1
2
3
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Question # 6
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3 x 2
2 x 3
3 x 3
2 x 2
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Question # 7
Cos 60° = ______
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1
2
1/2
3
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Question # 8
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Question # 9
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2C
C
3
1
0
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Question # 10
Range of cos
θ
is
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Question # 11
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x
2
+ 2x + c
(x
2
+ 2x -1)
4
+ c
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Question # 12
The parabola y2 + 2y + x = 0 lie in _____ quadrant.
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First
Second
Third
Fourth
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Question # 13
What is the circular measure of the angles between the hands of which at 4 o clock
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π/6
3π/2
π/4
2π/3
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Question # 14
sec h x = ________
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Question # 15
The difference of two consecutive terms of an A.P. is called ______
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General term
Common ratio
Common difference
None of these
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Question # 16
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Addition
Multiplication
Division
Both addition and multiplication
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Question # 17
sin (
α
+
β
) + sin (
α
-
β
)
Choose an answer
2 sin
α
cos
β
sin (2
α
β)
sin
α
cos
α
None of these
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Question # 18
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Question # 19
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K/6
2K
3K
6K
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Question # 20
For non-trival solution |A| is
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non zero
A = 0
|A| = 0
At = 0
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Question # 21
sin(a + β)+sin(a -β) =_____;
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2cosa cosβ
2sina cosβ
2cosa sinβ
-2sina sinβ
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Question # 22
the curve of the parabola y
2
= -4ax is symmetric with respect to
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x -axis
y - axis
Botha x and y- axis
None of thes
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Question # 23
The towers each 120 meters high are 800 meters apart. The measure of the angle of elevation from the base of one tower to the top of the other is
Choose an answer
12
𝜊
9
𝜊
7
𝜊
-120
𝜊
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Question # 24
What is the conjugate of -6 -i
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-6 +i
6 + i
-6 -i
6 -i
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Question # 25
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Question # 26
The transpose of a zero matrix is a ______
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Column matrix
Zero matrix
Row matrix
Scalar matrix
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Question # 27
If D = {a} , the P(D) =
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{a}
∅
{∅,{a}}
{∅,a}
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Question # 28
The two parts into which 57 should be divided so that their product is 782 are
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43,14
34,23
33,24
44,13
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Question # 29
If y = 2x , then
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y1 -ln2y = 0
y2-(ln2)2 y = 0
y2-(ln2)y1 = 0
All are correct
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Question # 30
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[0, 0, 0]
[1, 0, 0]
[0, 1, 0]
[0, 0, 1]
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Question # 31
a + x is ______
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A trinomial
A binomial
A monomial
None of these
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