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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
If z
1
= 1 + 2i, z
2
= 3 + 4i then
Choose an answer
z
1
> z
2
z
1
= z
2
z
1
< z
2
None of these
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Question # 2
Probability of an impossible event is
Choose an answer
0
-1
1
∞
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Question # 3
Choose an answer
I
|A|
|A| I
None of these
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Question # 4
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Question # 5
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Question # 6
If x
3
+ 4x
3
- 2x +5 is divided by x - 1, then the reminder is
Choose an answer
8
6
4
None of these
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Question # 7
The solution set of the equation 1 + Cos x = 0 is __________
Choose an answer
none of these
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Question # 8
The symbol of irrational is
Choose an answer
W
N
Q
Q
'
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Question # 9
Let a
1
, a
2
, a
3
, a
4
and a
5
be such that a
1
, a
2
, and a
3
are in A.P., a
2
, a
3
and a
4
are in G.P and a
3
, a
4
and a
5
are in H.P. Then, a
1
, a
3
and a
5
are in
Choose an answer
G.P.
A.P.
H.P.
None of these
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Question # 10
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Question # 11
An equation of the form ax + by = k is homogeneous linear equation when:
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Question # 12
f(x) = 3x/x
2
+ 1 is:
Choose an answer
an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 13
Choose an answer
25
16
5
0
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Question # 14
Choose an answer
Square matrix
Row matrix
Symmetric matrix
Null matrix
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Question # 15
The longer side of a parallelogram is 10 cm and the shorter is 6 cm. If the longer diagonal makes an angles 30° with the longer side, the length of the longer diagonal is
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Question # 16
If |αi + (α+1)j +2k| =3 then value of α is
Choose an answer
1,2
-1,-2
1,-2
-1,2
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Question # 17
tan (
π
-
θ
) = ______
Choose an answer
- sin
θ
- tan
θ
- cos
θ
- cot
θ
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Question # 18
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Question # 19
If one root of the equation x
2
- 3x + a = 0 is 2 then a = ______
Choose an answer
0
1
2
3
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Question # 20
A card is drawn from a pack of cards numbered 2 to 53. the probability that the number on the card is prime number less than 20 is
Choose an answer
2 / 13
4 / 13
5 / 13
8 / 13
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Question # 21
The number of x-intercepts of y= sin x in his period
Choose an answer
0
1
2
3
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Question # 22
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0
1
13
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Question # 23
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Question # 24
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Question # 25
If S is a sample space and event set E = S then P(E) is
Choose an answer
>0
1
<1
0
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Question # 26
The transport of a rectangular matrix is a
Choose an answer
Square matrix
Rectangular matrix
Row matrix
Column matrix
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Question # 27
The number of different ways of describing a set is
Choose an answer
One
Two
Three
Four
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Question # 28
The point which divides the line segment joining the points (a, b) and (c, d) in the ratio 2 : 3 internally is
Choose an answer
none of these
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Question # 29
Choose an answer
a
2
b
2
c
2
4a
2
b
2
c
2
4abc
None
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Question # 30
If sin A = cos A, 0°<A<90° then A is equal to
Choose an answer
1
1/2
0
None of these
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Question # 31
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