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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Choose an answer
10
C
6
10
C
5
10
C
4
None
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Question # 2
Sin h
-1
x = _________
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Question # 3
Choose an answer
2
4
6
8
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Question # 4
If f(x) = x
2
- x then f(-2) is
Choose an answer
4
6
2
0
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Question # 5
If sin x + sin
2
x = 1, then the value of Cos
12
x + 3cos
10
x + 3cos
8
x + cos
6
x + 2 cos
4
x + cos
2
x-2 is equal to
Choose an answer
0
1
2
sin
2
x
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Question # 6
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Question # 7
The graph of y < 2 is the
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Left half plane
upper half plane
Right half plane
Lower half plane
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Question # 8
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Question # 9
The equation of the tangent at vertex to the parabola is y2 = -8(x -3)
Choose an answer
y=0
x=3
x=1
x=5
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Question # 10
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1
2
3
4
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Question # 11
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Question # 12
The square of the distance between two points P(x
1
, y
1
) and Q(x
2
, y
2
) is
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Question # 13
The value of cos(cos-1 1/2) is
Choose an answer
1/2
√3/2
-1/2
1/√2
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Question # 14
Consider the equation px2 + qx + r = 0 where p,q,r are real The roots are equal in magnitude but opposite in sign when
Choose an answer
q = 0, r = 0,p ≠ 0
p = 0,qr≠ 0
r = 0,pq≠ 0
q = 0, pq≠ 0
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Question # 15
Domain of cos x is ______
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Question # 16
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1
2
-2
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Question # 17
Which of the following is a factor of x
3
- 3x
2
+ 2x - 6
Choose an answer
x + 2
x + 3
x - 3
x - 4
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Question # 18
If f(x) = -x
3
then f(-2) is
Choose an answer
-2
-4
-8
8
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Question # 19
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Question # 20
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Question # 21
Choose an answer
A
B
U
None of these
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Question # 22
The number of divisors of 1029, 1547 and 122 are in
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A.P.
G.P.
H.P.
None of these
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Question # 23
If distance of (a,b) from y-axis is 2 then
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a = 2
b = 2
a = b
a = 4
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Question # 24
If a set S contains n elements then P (S) has ........ number of elements
Choose an answer
2
n
2
n2
2.n
n
2
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Question # 25
The set of points {(x,y)|y = f(x),∀x∈} is called
Choose an answer
Relation
Graph of f
Function
All are correct
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Question # 26
f(x) = 3x/x
2
+ 1 is:
Choose an answer
an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 27
What is the 26th term of the sequence, if its general term is a
n = (-1)
n+1
Choose an answer
2
26
27
1
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Question # 28
The points (x, y) which satisfy a linear inequality in two variables x and y from its
Choose an answer
domain
range
solution
none of these
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Question # 29
The period of 3 sin x is
Choose an answer
2π
9π
3π
5π
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Question # 30
The value of k (k > 0) for which the equation x
2
+ kx + 64 = 0 and x
2
- 8x + k = 0 both will have real roots is
Choose an answer
8
-16
-64
16
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Question # 31
Which is in the solution set of 4x - 3y < 2
Choose an answer
(3, 0)
(4, 1)
(1, 3)
None
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