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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
When the angle between the ground and the sun is 30
𝜊
,flag pole costss a shadow of 40 mg long. the height of the top of the flag is
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25m
23m
12m
29m
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Question # 2
A triangle has six
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side
elements
angle
tangents
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Question # 3
ab > 0 and a > 0 then
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a > b
a < b
a = b
None
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Question # 4
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Question # 5
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a cot(ax + b) + c
- a cot(ax + b) + c
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Question # 6
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1
0
3
-1
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Question # 7
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Question # 8
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Question # 9
There is no element common in
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N and W
E and W
N and O
Q and Q'
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Question # 10
The ratio in which the line y- x+ 2 =0 divides the line joining (3,-1) and (8,9) is
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2:3
-2:3
3:2
-3:2
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Question # 11
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Question # 12
If z
1
=√-36 ,z
2
=√-25,z3 =√-16 then
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15
15i
-15i
-15
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Question # 13
Which of the following has the same value as i
113
?
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i
-1
-i
1
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Question # 14
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Question # 15
Which symbolic notation represent unary operation ?
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-
∨
∧
⇔
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Question # 16
√11 is
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an irrational number
Rational number
odd number
Negative number
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Question # 17
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120
5
4
6
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Question # 18
i
101
=
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i
i
2
-i
-1
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Question # 19
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Question # 20
The circle (x - 2)
2
+ (y + 3)
2
= 4 is not concentric with the circle
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(x - 2)
2
+ (y + 3)
2
= 9
(x + 2)
2
+ (y - 3)
2
= 4
(x + 2)
2
+ (y - 3)
2
= 8
(x - 2)
2
+ (y + 3)
2
= 5
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Question # 21
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Question # 22
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Question # 23
If z
1
= 1 + 2i, z
2
= 3 + 4i then
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z
1
> z
2
z
1
= z
2
z
1
< z
2
None of these
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Question # 24
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Question # 25
Write down the power set of {9, 11}
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Question # 26
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2, 3
3, 3
2, 6
2, 4
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Question # 27
Water seeps out of a conical filter at eh constant rate of 5 cm/sec. the height of the cone of water in the filter is 15 cm. the height of the filter is 20 cm and radius of the base is 10 cm. the rate at which the height of the water decreases is
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Question # 28
If the angle between two vectors with magnitude 2 and 15 is 30
°
then their scalar product is
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15
30
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Question # 29
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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 # 30
Two circles are said to be concentric if they have
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same radius
same chord
same centre
same diameter
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Question # 31
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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