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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
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 # 3
The maximum value of sin x + cos x is
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Question # 4
The fixed point from which all the points of a circle are equidistant is called the
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chord of the circle
centre of the circle
diameter of the circle
radius of the circle
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Question # 5
A square matrix all of whose elements except the main diagonal are zeros is called a
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Null matrix
Singular matrix
Symmetric matrix
Diagonal matrix
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Question # 6
Ifπ≤x≤2π, then cos-1 (cos x)=
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cos x
-x
1/x
-x
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Question # 7
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2
7
8
12
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Question # 8
A diagonal matrix is always
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Identity
Triangular
Scalar
Non-singular
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Question # 9
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p < r
p > rr
p + r < 0
p - r < 0
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Question # 10
The polynomial x - a is a factor of the polynomial f(x) if and only if
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f(a) is positive
f(a) is negative
f(a) = 0
None of these
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Question # 11
Two coins are tossed twice each. The probability that the head appears on the first toss and the same forces appear in the two tosses is
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1/4
1/2
1/3
1/7
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Question # 12
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I
|A|
|A| I
None of these
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Question # 13
Area of
Δ
ABC=
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ab sin
α
1/2 ab sin
α
1/2 ac sin
γ
1/2 ac sin
β
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Question # 14
Let A be a square matrix. Then, 1/2 (A-A') is
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Skew-symmetric
Symmetric
Null
None of the above
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Question # 15
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0
Independent of a
Independent of b
Independent of c
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Question # 16
The equation of the line perpendicular to x- axis and passing through (-5,3) is
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y -3 =0
x+ 3 =0
y- 3 =∞
x +5 =0
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Question # 17
If Z
1
= 1 + i, Z
2
= 2+3i, then |Z
1
- Z
2
| = ?
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Question # 18
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3/4
-3/4
4/3
-4/3
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Question # 19
The central angle of an arc of a circle whose length is equal to the radius of the circle is called one
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Degree
Second
Minute
Radian
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Question # 20
In the expansion of (a + x)
n
the general term T
r + 1
is
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Question # 21
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0
1
2
4
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Question # 22
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16
256
64
1024
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Question # 23
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6x - 2 + c
x
3
- x
2
+ x + c
6x - x
2
+ c
6x
3
- x
2
+ c
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Question # 24
Identity w.r.t intersection in a power set of any set is
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∅
Set itself
Singleton set
{0}
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Question # 25
The probability of getting a number between 1 and 100 which is divisible by 1 and itself if only is
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1 / 4
1 / 2
3 / 4
25 / 98
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Question # 26
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4
3
2
1
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Question # 27
The velocity of a particle moving along a straight line is given by v = 3t + t
2
. The acceleration of the particle after 4 seconds from the start is
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4
11
26
None
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Question # 28
If the sum of co-efficient in the expansion of (a+b)
n
is 4096, then the greatest co-efficient in the expansion is
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1594
792
924
2924
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Question # 29
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1/x
-x
2x
0.5 x
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Question # 30
The expression x2 - x + 1 has
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One proper linear factor
No proper linear factor
Two proper linear factors
None of these
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Question # 31
(1, 1) is the in the solution of the inequality
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3x + 4y > 3
2x + 3y < 2
4x = 3y > 5
2c - 3y > 2
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