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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
There are 16 point in a plane, in which 6 are collinear. how many lines can be drawn by joining these points?
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10
66
71
106
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Question # 2
Which of the following integrals can be evaluated
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Question # 3
The 5th term of (3a-2b)
-1
is
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77b
2
/a
5
16b
2
/243 a
5
17b
4
/43a
5
25b
3
/43a
5
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Question # 4
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Question # 5
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Question # 6
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Addition
Multiplication
Division
Both addition and multiplication
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Question # 7
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Question # 8
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A finite set
An infinite set
An empty set
None of these
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Question # 9
Range of cosec
θ
is
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W - {y | -1 < y < 1}
R - {y | -1 < y < 1}
O - {y | -1 < y < 1}
R
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Question # 10
The angle of elevation of a tower from a point A due south of it is x and from a point B due east of A is y. If AB = 1, then the height h of the tower is given by
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Question # 11
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Question # 12
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Question # 13
The principal value of sin
-1
(-1/2)
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π/3
π/4
π/6
-π/6
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Question # 14
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Question # 15
Domain of y = scs x is
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All real numbers except π/2 + n*π
R
All negative integers
None of these
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Question # 16
If sin
α
and cos
α
are the roots of the equation px
2
+ qx + r =0, then
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p
2
- q
2
+ 2pr = 0
(p + r)
2
= q
2
- r
2
p
2
+ q
2
- 2pr = 0
(p - r)
2
= q
2
+ r
2
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Question # 17
The point of concurrency of the medians of the ΔABC is called its
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Orthocenter
Centriod
Circumcentre
Incentre
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Question # 18
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Question # 19
Sec 30° = ______
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Question # 20
The set of natural no. is closed under
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multiplication
subtraction
difference
division
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Question # 21
The order of the matrix A is 3 x 2 and that of B is 2 x 3. The order of the matrix BA is
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3 x 3
3 x 2
2 x 5
5 x 2
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Question # 22
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Question # 23
In a triangle ABC, if angle A = 72° , angle B = 48° and c = 9 cm then Ĉ is
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69°
66°
60°
63°
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Question # 24
If z
1
= 2 + 6i and z
2
= 3 + 7i, then which expression defines the product of z
1
and z
2
?
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36 + (-32)i
-36 + 32i
6 + (-11)1
0, +(-12)i
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Question # 25
The common ration of a geometric sequence cannot be
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0
1
2
3
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Question # 26
The distance of the points (3, 4, 5) from y-axis is
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Question # 27
Two unbiased dice are thrown. The probability that the total score is > 5 is
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1 / 18
7 / 18
13 / 18
11 / 18
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Question # 28
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Question # 29
If the domain of the function f: x⟶ 2x
3
+ 1 is {-1,2,3}, the range of the function is
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{3,2,5}
{1,3,9}
{-1,-2,-3}
{3,9,19}
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Question # 30
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 # 31
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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