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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The multiplicative inverse of x such that x = 0 is
Choose an answer
-x
does not exist
1/x
0
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Question # 2
The exponent of x in 10th term in the expansion of (a+x)n
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10
12
11
9
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Question # 3
If A, G, H are the arithmetic, geometric and harmonic means between a and b respectively then A, G, H are in
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A. P.
G. P.
H. P.
None of these
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Question # 4
The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is
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2 x 3
3 x 2
2 x 5
5 x 2
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Question # 5
(a +b
i
) -c (c +d
i
) =
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(a +b) = (c +d)
(a +c) + i(b +d)
(a -c) + (c -d)
i
(a -c) +(b -d)
i
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Question # 6
The equation (cos p - 1)x
2
+ x (cos p) + sin p = 0 in the variable x, has real roots, then p can take any value in the interval
Choose an answer
(0, 2
π
)
(-
π
, -0)
(0,
π
)
None of these
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Question # 7
A point (x,y) which satisfy a linear inequality in two variables form its
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Solution
Domain
Range
None
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Question # 8
The graph of a linear function is
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a circle
triangle
a straight line
none of these
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Question # 9
cos
4
θ
- sin
4
θ
=
Choose an answer
cos4
θ
cos2
θ
-sin
θ
sin2
θ
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Question # 10
If A⊆ B, and B is a finite set, then
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n (a) < n(B)
n(B)<(A)
n(A)≤ n (B)
n(A)≥ n(B)
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Question # 11
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π / 3
π / 4
π / 6
0
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Question # 12
What is the period of tan 4/3 x =?
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π/4
4π/3
7π/4
3π/4
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Question # 13
A square matrix A = [aij] is upper triangular when
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cij = 0
bij = 0
aij = 0 for all i > j
dij = 0
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Question # 14
The position vector of any point in space is
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Question # 15
The total cost of 2 apples and 3 oranges is $1.70, which of the following is true
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The cost of one apple
The cost of one orange
Both have equal cost per item
Cost of each single item can not be determined
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Question # 16
Geometrically the modulus of a complex number represents its distance from the
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Point (1,0)
Point (0,1)
Point (1,1)
Point (0,0)
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Question # 17
If the lines 2x-3y-1=0,3x-y-5=0 and 3x+py+8=0 meet at a unique point then
Choose an answer
p = -14
p = -1
p =0
p=12
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Question # 18
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Question # 19
If uv= Projuv then
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Uandvare parallel
vis a unit vector
Uis a unit vector
Both b and c
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Question # 20
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Question # 21
If (1+x-2x
3
)
6
= 1+a
1
x + a
2
x
2
+ a
3
x
3
+ ..... the the value of a
2
+ a
4
+ a
6
+ .....+a
12
will be
Choose an answer
32
31
64
1024
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Question # 22
The root of the quadratic equation are
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3
2
1
4
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Question # 23
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Question # 24
The sum of all 2 digit number is
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4750
3776
4895
4905
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Question # 25
∀x,y∈R and x> 0 , y>0, if x > y
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None of these
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Question # 26
If θ be angle between u,v and u,v determine the sides of a triangle then the third side opposite to angle θ has length
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|u+v|
|u|+|v|
|u-v|
|u|-|v|
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Question # 27
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Question # 28
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Question # 29
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Question # 30
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direction ratios
direction cosines
direction angles
none of these
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Question # 31
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