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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
The set {-1,1} is
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Group under the multiplication
Group under addition
Does not form a group
Contains no identity element
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Question # 3
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2
4
8
16
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Question # 4
Which is the proper rational function
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Question # 5
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6x + 2 + c
6x + x
2
+ c
6x
3
+ x
2
+ x
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Question # 6
Arithmetic mean between a and b is
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Question # 7
The differential equation of all st. lines which are at a constant distance to form the origin is
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Question # 8
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30°
45°
60°
120°
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Question # 9
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Question # 10
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k3
0
3k
k6
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Question # 11
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x
y
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Question # 12
A relation in which the equality is true only for some values of the known is called ______
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An identity
An equation
A polynomial
None of these
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Question # 13
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none of these
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Question # 14
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-cosec
2
x
-sec
2
x
- cosec x cot x
cosec x
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Question # 15
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none of these
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Question # 16
(1 + 2x)
4
= ______
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1 + 4x + 6x
2
+ 4x
3
+ x
4
1 - 4x + 6x
2
- 4x
3
+ x
4
1 - 8x + 24x
2
- 32x
3
+ 16x
4
1 + 8x+ 24x
2
+ 32x
3
+ 16x
4
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Question # 17
If f(√x)=sin x , then f′(x) =______;
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2xcosx2
cosx2
cos√x
None of these
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Question # 18
i
3
=
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-1
i
-i
1
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Question # 19
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Question # 20
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Question # 21
tan (-135°) = ______
θ
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0
1
2
3
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Question # 22
Unit vector in the positive direction of x-axis is
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Question # 23
The parabola y2 + 2y + x = 0 lie in _____ quadrant.
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First
Second
Third
Fourth
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Question # 24
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I quadrant
II quadrant
III quadrant
IV quadrant
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Question # 25
Three unbiased coins are tossed. Then the probabilities of getting two heads is
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3/8
1/8
1/4
None of these
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Question # 26
If the roots of x
2
+ ax + b = 0 are non-real, then for all real x, x
2
+ ax + b is
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Negative
Positive
Zero
Nothing can be said
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Question # 27
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Question # 28
The roots of the equations will be equal if b
2
- 4ac is
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Positive
Negative
1
Zero
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Question # 29
A chimney is such that on walking towards it 50 m in a horizontal line through its base the angular elevation of its top changes from 30° to 45°. The height of the chimney is
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Question # 30
The liner equation ax + by = c is called _________ of the inequality ax +by > c.
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Associated equation
Non-associated equation
disjoint equation
Feasible equation
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Question # 31
The nth term of an A.P is (3n+5) Its 75th term is
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26
7
21
Cannot be determined
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