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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The set (Z, +) forms a group
Choose an answer
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 # 2
For all points (x,y) on y-axis
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x is positive
x = 0
x is negative
y = 0
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Question # 3
(0.90)
1/2
is equal to
Choose an answer
0.99
0.90
0.80
0.88
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Question # 4
A number A is called the arithmetic mean between a and b if a, A, b is ______
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Arithmetic sequence
Geometric sequence
Harmonic sequence
Arithmetic sequence
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Question # 5
The second degree equation of the form Ax2 +By2 +Gx +Fy +C =0 represent hyperbola if
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A = B≠ 0
A≠ B and both are of same sign
A≠ B both are of opposite sign
Either A = 0 or B =0
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Question # 6
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Question # 7
sn (2sin-10.8)
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0.56
0.69
-0.16
0.96
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Question # 8
For any set B,B∪B' is
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Is set B
Set B'
Universal set
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Question # 9
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Question # 10
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p < r
p > rr
p + r < 0
p - r < 0
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Question # 11
The area of the circle centred at (1,2) and passing through (4,6) is
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30 πsq.units
5π sq.units
15π sq.units
25π sq.units
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Question # 12
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Question # 13
By expressing sin 125° in terms of trigonometrical ratios, answer will be
Choose an answer
sin 65° = 0.9128
sin 55° = 0.8192
sin 70° = 0.5384
sin 72° = 0.1982
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Question # 14
The period of cos(7x-5) is
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π/7
7π/2
π/2
2π/7
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Question # 15
Range of cot
θ
is
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(+
∞
to -
∞
)
(-1 to +1)
(-5 to +5)
Set of even numbers only
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Question # 16
For what value of k, 3x -2y+ k= 0 is tangent to the circle x2 +y2 +6x -4y =0
Choose an answer
k=0
k=0 or 26
k = 26
k=-13
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Question # 17
Form a group of 5 men and 3 women, a committee of 4 persons is to be selected randomly. The probability that there is a majority of men is
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1/4
1/3
1/2
1/6
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Question # 18
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(-1, 2)
(-1, 1)
(1, 2)
{-1}
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Question # 19
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I and
I
I quadrants
I
I and
I
I
I quadrants
I
I
I and
I
V
quadrants
none of these
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Question # 20
If 2 and 2 are x and y components of vector then its angle with x-axis is
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30
°
45
°
60
°
90
°
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Question # 21
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Question # 22
If Z
1
= 1+ i, Z
2
= 2+3i , then |Z
1
-Z
2
| =?
Choose an answer
√5
√7
-1-2i
√3
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Question # 23
The term involving x4 the expansion (3-2x)7 is
Choose an answer
217 x4
15120x4
313x4
-25x4
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Question # 24
The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 externally are
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Question # 25
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0
1
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Question # 26
Choose an answer
-3
-7
1
0
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Question # 27
1 + 2 + 3 + ...... + n = ______
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Question # 28
xy= 2 is:
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a constant function
an identity function
an improper function
implicit function
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Question # 29
The multiplicative inverse of 1 - 2i is
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Question # 30
Every identity matrix is
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Row-vector
Scalar
Column-vector
All
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Question # 31
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Proper fraction
Improper fraction
Rational fraction
None of these
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