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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Cosec 60° = ______
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Question # 2
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Question # 3
How many terms of the A.P 3,6,9,12,15...........must be taken to make the sum 108
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8
6
7
36
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Question # 4
3, 6, 12,.... is
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A.P
G.P.
H.P.
None of these
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Question # 5
The probability to get an odd number in a dice thrown once is
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1/2
1/6
1/3
2
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Question # 6
x
2
+ x - 6 = 0 is
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An equation
An identity
A polynomial
None of these
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Question # 7
How many signals can be given by 5 flags of different colours, using 3 flags at a time
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120
60
24
15
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Question # 8
If a 1-1 correspondence can be established b/w two sets A and B, then they are called
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Equal sets
Equivalent sets
Over lapping sets
None of these
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Question # 9
Which of the following is a vector.
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work
time
density
electric field
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Question # 10
If S = {3,6,9,12.......}, then
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S = Four multiples of 3
S = Set of even numbers
S = Set of prime numbers
S = All multiples of 3
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Question # 11
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Question # 12
G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are
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2,2,2
3,3,3
2,2,4
2,3,4
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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
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Question # 15
60° = ______
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Question # 16
In one hour the minute hand of a clock turns through
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Question # 17
If the equation x2+2x-3=0 and x2+3x-k=0 have a common root then the non - zero value of k is
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1
3
2
4
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Question # 18
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15
15 i
-15 i
-15
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Question # 19
If sin
α
and cos
α
are the roots of the equation px
2
+ qx + r =0, then
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p
2
- q
2
+ 2pr = 0
(p + r)
2
= q
2
- r
2
p
2
+ q
2
- 2pr = 0
(p - r)
2
= q
2
+ r
2
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Question # 20
The set of real numbers is a subset of
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The set of natural numbers
The set of rational numbers
The set of integers
The set of complex numbers
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Question # 21
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Question # 22
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Question # 23
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 # 24
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Question # 25
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 # 26
Onto function is also called
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Binjective function
Injective function
Surjechive function
None of these
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Question # 27
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A rational number
An irrational number
An odd number
A prime number
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Question # 28
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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Question # 29
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 # 30
If z1 = 2 + 6i and z2 = 3 + 7i then which expression defines the product of z1 and z2
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36 +(-32)i
-36+32i
6+(-11)i
0, +(-12)i
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Question # 31
The order of the matrix [1 2 3] is
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1 x 1
3 x 3
3 x 1
1 x 3
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