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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Which of the following is a vector.
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work
time
density
electric field
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Question # 2
cos 3a =_______;
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3sin a - 4sin3 a
4sin a - 3sin3 a
3cos3 a - 4cos a
4cos3a - 3cos a
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Question # 3
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 # 4
sin (
α +
β)=
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sin
α
cos
β
- cos
α
sin
β
sin
α
cos
β
- cos
α
sin
β
sin
α
cos
α
- cos
β
sin
β
sin
α
cos
α
+ cos
β
sin
β
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Question # 5
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Question # 6
A coin is tossed. If head comes up, a die is thrown but if tail comes up, the coin is tossed again. The probability of obtaining a head and an even number is
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1/8
2/8
3/8
None of these
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Question # 7
What is the conjugate of -7 -2i?
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-7 + 2i
7 + 2i
7 -2i
None of these
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Question # 8
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sec 5x + c
- sec 5x + c
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Question # 9
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Question # 10
The centre of the conic x2 +16x +4y2 -16y +76 =0 is
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(0,10)
(-8,4)
(-8,-2)
(1,1)
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Question # 11
A square matrix A for which A
t
= -A is called a
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Column matrix
Symmetric matrix
Skew-symmetric matrix
Row matrix
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Question # 12
Three right angles is the angle of measure
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270°
180°
90°
270'
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Question # 13
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Question # 14
The vertex of the graph of the quadratic function f(x) = x2 -10, is
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(0 , -10)
(-10,0)
(10,0)
(0,10)
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Question # 15
The lines l1and l2intersect. The shortest distance between them is
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Positive
Negative
Zero
Infinity
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Question # 16
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Question # 17
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Question # 18
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Question # 19
The two different parts of the hyperbola are called its
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Vertices
Directrices
Nappes
Branches
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Question # 20
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Question # 21
A,G,H are in
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A.P
G.P
H.P
None of these
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Question # 22
A class contains nine boys and three girls, in how many ways can the teacher choose a committee of four?
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460
495
272
60
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Question # 23
The central angle of an arc of a circle whose length is equal to the radius of the circle is called one
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Degree
Second
Minute
Radian
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Question # 24
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Question # 25
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Question # 26
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Question # 27
How many different 5-digit even numbers are possible form digit 1,2,4,6,8
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4 : 4!
4!
5!
4!+4!
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Question # 28
If cos (2 sin-1 x) = 1/9 , then what is the value of x?
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1/3
-2/3
2/3
2/3 , -2/3
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Question # 29
Two quadratic equation in which xy term is missing and the coefficients of x
2
and y
2
are equal, give a linear equation by ______
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Addition
Subtraction
Multiplication
Division
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Question # 30
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(3, 1, -2)
(3, -2, 1)
(2, -1, 3)
(-1, -2, -3)
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Question # 31
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Closure law of addition
Closure law of multiplication
Commutative law of addition
Commutative law of multiplication
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