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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
A matrix with a single column is called
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Column matrix
Row matrix
Identity matrix
Null matrix
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Question # 4
sin(3π/2 -θ)=_______;
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sinθ
cosθ
-sinθ
-cosθ
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Question # 5
The set (Z, +) forms a group
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Forms a group w.r.t. addition
Non commutative group w.r.t. multiplication
Forms a group w.r.t multiplication
Doesn't form a group
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Question # 6
Two positive integers whose sum is 30 and their product will be maximum are
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12,18
10,20
15,15
14,16
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Question # 7
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A = B
B = C
A = C
None of these
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Question # 8
The number of the diagonals of a 6 sided figure is
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15
21
9
6
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Question # 9
A = [3] is a/an
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Square matrix
Scalar matrix
Diagonal matrix
Identity matrix
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Question # 10
If there are m rows and n columns in a matrix then its order is
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m x n
m x m
n x n
n x m
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Question # 11
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Question # 12
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0
1
2
none of these
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Question # 13
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4(x
3
- 3x
2
)
3
+ c
3x
2
- 6x + c
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Question # 14
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Question # 15
The value of sin-1 24/25 is equal to
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csc-1 25/24
sec-1 24/25
2 tan-1 4/5
2cos-1 24/25
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Question # 16
If Z
1
= 1 + i, Z
2
= 2+3i, then |Z
1
- Z
2
| = ?
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Question # 17
If a
1
, r are first term and the common ratio respectively then the sum of an infinite geometric series is
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Question # 18
The sum of the coefficient in the expansion of (a + x)
5
is
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32
16
8
5
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Question # 19
The equation of the sphere thro' the origin and making intercepts a, b, c on co-ordinate axes is
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x
2
+ y
2
+ z
2
+ ax + by + cz = 0
x
2
+ y
2
+ z
2
- 2ax - 2 by - 2 cz = 0
x
2
+ y
2
+ z
2
= a + b + c
x
2
+ y
2
+ z
2
- ax - by - cz =0
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Question # 20
The points (x, y) which satisfy a linear inequality in two variables x and y from its
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domain
range
solution
none of these
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Question # 21
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Question # 22
The expansion of (1 - 3x)
-1
is valid if
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| x | < 1
| x | < 3
| x | < 1/3
None of these
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Question # 23
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Question # 24
0 is a symbol of
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singleton set
Empty set
Equivalent set
Infinite set
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Question # 25
The real numbers which satisfy an inequality form its
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solution
coefficient
domain
range
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Question # 26
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4
6
8
10
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Question # 27
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a sec(ax + b) + c
- a sec(ax + b) + c
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Question # 28
The value of the expression sin
θ
+ cos
θ
lies between
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Question # 29
The radian measure of the central angle of an arc 50 m long on a circle of radius 25 m is
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3
2
1
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Question # 30
The velocity and acceleration at any point t of a particle which moves along straight line x = 5r-3
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5,3
5,-3
5,0
10,0
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Question # 31
How many 3 digit numbers can be formed by using each one of the digit 2, 3, 5, 7, 9 only once?
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15
24
60
120
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