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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Choose an answer
A
A'
U
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Question # 2
The 5th term of (3a-2b)
-1
is
Choose an answer
77b
2
/a
5
16b
2
/243 a
5
17b
4
/43a
5
25b
3
/43a
5
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Question # 3
There may be ______ feasible solution in the feasible region
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Infinite
Finite
Defined
None of above
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Question # 4
Range of 3 sin x is ______
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[ -3, 3]
[-1, 1]
R
None of these
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Question # 5
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Question # 6
The perpendicular bisector of any chord of a circle
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Passes through the centre of the circle
Does not pass through the centre of the circle
May or may not pass through the centre of the circle
None of these
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Question # 7
Projection of vector u along v is
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|v| cosθ
|u| cosθ
|v| sinθ
|u| sinθ
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Question # 8
If z
1
=√-36 ,z
2
=√-25,z3 =√-16 then
Choose an answer
15
15i
-15i
-15
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Question # 9
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0
1
2
3
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Question # 10
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Question # 11
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none of these
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Question # 12
If a set S contains n elements then P (S) has ........ number of elements
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2
n
2
n2
2.n
n
2
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Question # 13
Second derivative of y = x
9
+ 10x
2
+ 2x - 1 at x = 0 is
Choose an answer
10
20
12
1
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Question # 14
A point where two of its boundary lines intersect is called
Choose an answer
Corner point
Feasible point
Vertex
Feasible solution
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Question # 15
Choose an answer
a constant function
linear function
quadratic funtion
none of these
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Question # 16
Sine rule for a triangle states that
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a/sin A = b/sin B = c/sin C
sin A/a = sin B/b = sin C/c
a/sin A + b/sin B + c/sin C
2a/sin A = 2b/sin B = 2c/sin C
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Question # 17
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Question # 18
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Question # 19
Domain of cos x is ______
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Question # 20
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Question # 21
sin (2
π
-
θ
)
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cos
θ
sin
θ
tan
θ
-sin
θ
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Question # 22
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an A.P.
a G.P.
a H.P.
None of these
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Question # 23
The conic is a parabola if
Choose an answer
e < 1
e > 1
e = 1
None of these
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Question # 24
Choose an answer
Associative law of addition
Commutative law of addition
Additive identity
Closure law of addition
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Question # 25
Choose an answer
0
1
-1
None of these
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Question # 26
If n is odd then the middle terms in the expansion of (a + x)
n
are
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Question # 27
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Question # 28
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Associative property of addition
Commutative property of addition
Distributive property
Additive identity
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Question # 29
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cos 2x + c
- cos 2x + c
tan 2x + c
cot 2x + c
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Question # 30
The distance between two points P(x
1
, y
1
) and Q (x
2
, y
2
) is
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Question # 31
The value of sin [ arc cos (-1/2)] is
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