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Online Tests
Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
An equation which holds good for all values of variables is called
Choose an answer
Equation
Conditional equation
Constant
None
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Question # 2
A and B be two square matrices and if their inverse exist, the (AB)
-1
=
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A
-1
B
-1
AB
-1
A
-1
B
B
-1
A
-1
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Question # 3
There are two middle terms in the expansion of (a+x)n if n is
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Even +ve integer
+ve integer
Odd +ve integer
All
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Question # 4
The equation x2+ y2- 8x+ 6y+ 25= 0 represents
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A circle
A pair of straight lines
A point
None of these
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Question # 5
The line 3x - 4y = 0
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Is a tangent to the circle x
2
+ y
2
= 25
Is a normal to the circle x
2
+ y
2
=25
Does not meet the circle x
2
+ y
2
= 25
Does not pass thro' the origin
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Question # 6
Name the property used in 100 + 0 = 100
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Additive inverse
Multiplicative inverse
Additive identity
Multiplicative identity
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Question # 7
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One-to-one and onto
One-to-one but not on to
Onto but not one-to-one
Neither one-to-one nor onto
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Question # 8
x
2
+ x - 6 = 0 is
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An equation
An identity
A polynomial
None of these
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Question # 9
Choose an answer
cos 2x + c
- cos 2x + c
tan 2x + c
cot 2x + c
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Question # 10
Matrices A = [aij] 2 x 3 and B =[bij] 3 x 2 are suitable for
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BA
A
2
AB
B
2
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Question # 11
Name the property used in 4 x (5 x 8) = ( 4 x 5) x 8
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Associative property of addition
Associative property of multiplication
Additive identity
Multiplicative identity
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Question # 12
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Question # 13
Every irrational number is
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A real number
A prime number
A natural number
An integer
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Question # 14
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Question # 15
The square root of 2i - 20i is
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+-(5 - 2i)
+-(5 + 2i)
(5 - 2i)
None of these
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Question # 16
The measure of the angle subtended at the centre of the circle by an arc, whose length is equal to the radius of the circle is
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1
0
1'
1"
1 rad
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Question # 17
A square matrix A = [aij] is lower triangular matrix when
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aij = 0 for all i<j
bij = 0
cij = 0
dij = 0
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Question # 18
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5x
4 + c
1/6 x
6
+ c
5x
2
+ c
1/5 x
6
+ c
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Question # 19
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 # 20
e-radii are denoted by
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η
r2
r3
All of these
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Question # 21
A disjunction of two statement p and q is true
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p is false
q is false
Both p and q are false
One of p and q is true
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Question # 22
If y is an image of x under the function f, then we write
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y = f(x)
x = f(y)
y = x
none of these
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Question # 23
If the lines 2x-3y-1=0,3x-y-5=0 and 3x+py+8=0 meet at a unique point then
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p = -14
p = -1
p =0
p=12
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Question # 24
If a particle moves according to the law s = t
3
- t
2
, then its velocity at time t = 1.5 is
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9/2
15/4
5
None
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Question # 25
The set X is
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Proper Subset of X
Not A subset of X
Improper Subset of X
None of these
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Question # 26
The area of the circle centred at (1,2) and passing through (4,6) is
Choose an answer
30 πsq.units
5π sq.units
15π sq.units
25π sq.units
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Question # 27
Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b
∈
G. then inverse of a is
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-a
a + 1
-2 -a
None of these
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Question # 28
A set having only one element is called
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An empty set
Universal set
A singleton set
A power set
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Question # 29
What is range of the function g (x) =|x-3|?
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[0 ,∞ )
(0 ,∞)
(-∞ ,3]
[0,∞)
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Question # 30
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Question # 31
√2 is a number
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Rational
Irrational
Even
Odd
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