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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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2x cos x2
2sinxcosx
- sin x2
2x sin x2
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Question # 2
The set {-1,1} is closed under the binary operation of
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Addition
Multiplication
Subtraction
Division
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Question # 3
graph of sine function is bounded between lines
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y± 1 = 0
x± 1 = 0
x± y - 0
None of these
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Question # 4
The value of the expression 3 cosθ+ 4 sinθθlie between
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-7 and 7
-25 and 25
-1 and 1
-5 and 5
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Question # 5
The sum of an infinite geometric series exist if
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| r | < 1
| r | > 1
r = 1
r = -1
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Question # 6
The roots of px2 - (p-q)x-q=0 are
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equal
Irrational
Rational
Imaginary
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Question # 7
If p, q, r and in A.P., a is G.M. between p and q and b is G.M. between q and r, then a
2
, q
2
, b
2
are in
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A.P.
G.P.
H.P.
None of these
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Question # 8
pth term of an H.P. is qr and qth term is pr then the rth term of the H.P. is
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pqr
1
pq
pqr
2
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Question # 9
The point _________ is in the solution of the inequality 2x + 3y < 5
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(1,1)
(2,2)
(0,1)
(0,2)
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Question # 10
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1
-1
0
None of these
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Question # 11
Q∪ Q' =
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Q
Q'
N
R
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Question # 12
A and B throw a dice. The probability that A's throw is not greater then B's is
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5 / 12
7 / 12
1 / 6
1 / 2
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Question # 13
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Question # 14
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Question # 15
What is the period of 5 cot x=?
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π
-π
π/2
2π
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Question # 16
If the radius of a circle is increased by 1 then area of circle will be
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π r2
π(r+1)2
π r2 +1
2π (r+1)
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Question # 17
The distance between the points (0 , 0) and (2, 1) is
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5
0
3
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Question # 18
The geometrical representation of a linear function is
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Circle
Parabola
Straight lie
None of these
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Question # 19
The range of the principal sine function is
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Question # 20
One degree is denoted by
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1
0
1'
1"
1 rad
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Question # 21
The sum of an indicated number of terms in a sequence is called
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sequence
progression
Series
Mean
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Question # 22
The solution set of the inequality ax + by < c is
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straight line
half plane
parabola
none of these
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Question # 23
The period of|sin2x| is
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π/2
-π/2
π
π/3
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Question # 24
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Question # 25
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none of these
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Question # 26
Sum of n terms of a geometric series if | r | < 1 is
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Question # 27
The sum even binomial coefficient of (3+2x)5 is ______term
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16
30
8
32
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Question # 28
cos
-1
(cos x) =
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x
cos x
x = 1/x
cos
-2
x
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Question # 29
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Question # 30
If sin (
π
cos
θ
) = cos (
π
sin
θ
), then which of the following is correct?
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Question # 31
The sides of a right angled triangle are in A.P The ratio of sides is
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1:2:3
3:4:5
2:3:4
5:8:3
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