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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
w
15
= ______
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0
1
w
w
2
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Question # 2
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Question # 3
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Question # 4
The graph of a linear function is
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a circle
triangle
a straight line
none of these
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Question # 5
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Question # 6
If the cutting plane is slightly tilted and cuts only one nappe of the cone, the intersection is
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an ellipse
a hyperbola
a circle
a parabola
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Question # 7
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Question # 8
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Question # 9
The multiplicative inverse of 1 - 2i is
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Question # 10
In R the number of identity elements w.r.t.'.' is
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One
Two
Three
Four
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Question # 11
The second degree equation 2x2 -xy+ 5x -2y +2 =0 represents
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Circle
Hyperbola
Ellipse
Pair of straight lines
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Question # 12
If a, b, c are in AP., a, b, c are in G.P. then A, m
2
b, c are in
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A.P.
G.P.
H.P.
None of these
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Question # 13
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360°
180°
90°
None of these
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Question # 14
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Question # 15
In natural logarithm the base is
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1
0
10
e
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Question # 16
3.5+5.4=5.4+3.5 =8.9 this property of addition is called
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additive identity
assoclative property
commulative property
closure property
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Question # 17
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Question # 18
Second derivative of y = x
9
+ 10x
2
+ 2x - 1 at x = 0 is
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10
20
12
1
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Question # 19
If z
1
= (a,b), z
2
=(c,d), then z
1
z
2
= -------------------
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(ac,bd)
(ac+bd, ad-bc)
(ac-bd , ad+bc)
(ac-bd , ad-bc)
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Question # 20
P∉ A means
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P
is subset of A
P
is an element of A
P does not belongs to A
A does not element of
P
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Question # 21
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Question # 22
If one root of 5x2 + 13x + k = 0 be the reciprocal of the other root the value of k is
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0
2
1
5
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Question # 23
If a > 0, b > 0, c > 0, then the roots of the equation ax
2
+ bx + c = 0 are
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Real and negative
Non-real with negative real parts
Real and positive
Nothing can be said
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Question # 24
The domain of the function x/x
2
-4 is given by
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R
R + 2
[R - (
+
2)
R-4
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Question # 25
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Question # 26
PQ is a post of given height a, and AB is a tower at some distance;
α
and
β
are the angles of elevation of B, the top of the tower, at P and Q respectively. The height of the tower and its distance from the post are
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Question # 27
Find the geometric mean between 4 and 16
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Question # 28
H.M. between 3 and 7 is
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Question # 29
√2 is a number
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Rational
Irrational
Even
Odd
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Question # 30
cos
-1
(cos x) =
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x
cos x
x = 1/x
cos
-2
x
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Question # 31
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