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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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3
1
4
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Question # 2
The nth term of an A.P is (3n+5) Its 75th term is
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26
7
21
Cannot be determined
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Question # 3
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Question # 4
Which of the following is a vector.
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distance
temperature
energy
acceleration
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Question # 5
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Question # 6
The value of sin [ arc cos (-1/2)] is
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Question # 7
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none of these
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Question # 8
sin
-1
x =
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tan
-1
x
Cosec
-1
x
Cosec x
cosec
-1
(1/x)
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Question # 9
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2x cos x2
-2xcosxsinx
2x Sin x2
-Sin x2
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Question # 10
Name the property used in 1000 x 1 = 1000
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additive inverse
multiplicative inverse
additive identity
multiplicative identity
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Question # 11
The two lines y = 2x and x =2y are
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Parallel
Perpendicular
Equally inclined with axes
Congruent
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Question # 12
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Question # 13
Matrices A = [aij] 2 x 3 and B = [bij] 3 x 2 are suitable for
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BA
A2
AB
B2
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Question # 14
For the parabola the line through focus and perpendicular to the directrix is called
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Tangent
Vertex
Axis
None
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Question # 15
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2x - 3x + c
x
2
- 3x + c
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Question # 16
Probability of an impossible event is
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0
-1
1
∞
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Question # 17
The set {0,-1} hold closure property under
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Addition
Both a & c
Multiplication
None of these
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Question # 18
5 unbiased coins coins are tossed simultaneously. The probability of getting at least one head is
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1 / 32
31 / 32
1 / 16
None of these
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Question # 19
Which symbolic notation represent unary operation ?
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-
∨
∧
⇔
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Question # 20
The last term of (1+2x)-2
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(-1)-2 (2x)-2
(-1)-4(-2x)-2
(-1)-3(2x)-3
Does not exist
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Question # 21
The A.M. of two numbers is 34 and G.M. is 16, the numbers are
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2 and 64
64 and 3
64 and 4
None of these
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Question # 22
If cos
α
= 4/5, then cos
α
/2
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Question # 23
If A and B are skew-symmetric then (AB)t is
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At Bt
AB
-AB
BA
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Question # 24
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Question # 25
In ladder leaning against a vertical well makes an angle of 24
𝜊
with the wall, Its foot is 5m from the wall, its length is
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5.47m
2m
7m
6.29m
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Question # 26
Rank of matrix [1 3 5 0] is
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1
3
2
4
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Question # 27
Period of cot x is ______
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Question # 28
The identity elements with respect to subtraction is
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0
1
-1
Does not exist
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Question # 29
Roots of the equation x
2
- x = 2 are
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{2, -1}
{1, 0}
{2, 1}
{-2, 1}
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Question # 30
If (2, 3) is the mid point of (a, 3) and (5, b) then
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a = 1 , b = -3
a = -1 , b = 3
a = 1 , b =3
a = -1 , b = -3
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Question # 31
In quadratic equation y=ax
3
+bx+c, if b and c are both zero then the graph is
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Symmetric w.r.t.y-axis
Symmetric w.r.t.x-axis
Straight Line
Circle
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