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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Roots of the equation x
2
+ 7x + 12 = 0 are
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{3, -4}
{-3, 4}
{3, 4}
{-3, -4}
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Question # 2
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P(A) + P(B)
P(A) - P(B)
P(A) . P(B)
P(A) / P(B)
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Question # 3
If there are m rows and n columns in a matrix then its order is
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m x n
m x m
n x n
n x m
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Question # 4
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Question # 5
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Question # 6
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cos x
sec x tan x
sec
2
x
-cosec
2
x
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Question # 7
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
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0
1
2
sin
2
x
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Question # 8
Which shape of the following objects are approximately parabolic ares?
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Light reflectors
Force
Weight of the pendul
None of these
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Question # 9
(51)
4
is equal to
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7065201
8065201
6765201
6565201
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Question # 10
√-1 b=
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b
2
2b
None of these
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Question # 11
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Question # 12
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Question # 13
By expressing sin 125° in terms of trigonometrical ratios, answer will be
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sin 65° = 0.9128
sin 55° = 0.8192
sin 70° = 0.5384
sin 72° = 0.1982
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Question # 14
The sum of first twenty odd integers in A.P is
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400
397
404
408
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Question # 15
An event having more than one sample point is called
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Certain event
Compound event
Simple event
None
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Question # 16
Coordinates of the focus of the parabola x
2
- 4x -8y-4=0 are:
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(0,2)
(,0,1)
(2,0)
(1,2)
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Question # 17
If (0, 0) and (0, -1) are end points of a diameter, then the equation of the circle is
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Question # 18
The seventh term of an A.P whose first term is P and common difference is q. is
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P-6q
P+6q
P-4q
P-nq
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Question # 19
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2x
2
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Question # 20
If b
2
- 4ac = 0 then the roots of the equation are
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Real and distinct
Real and equal
Imaginary
None of these
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Question # 21
Domain of cos x is ______
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Question # 22
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I and III quadrants
II and III quadrants
I and II quadrants
II and IV quadrants
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Question # 23
Let A be a square matrix. Then, 1/2 (A-A') is
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Skew-symmetric
Symmetric
Null
None of the above
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Question # 24
if Z1 = 1+i, Z2= 2+3i, then |Z2 -Z1| =
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√3 i
√7
-2-i
√5
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Question # 25
If S = {3,6,9,12.......}, then
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S = Four multiples of 3
S = Set of even numbers
S = Set of prime numbers
S = All multiples of 3
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Question # 26
Choose an answer
images
pre-images
constants
none of these
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Question # 27
The coefficient of x
10
in the expansion (x
3
+3/x
2
)
10
is
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1700
17023
17027
17010
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Question # 28
Intersection of two parabolas
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parabola
Two points
Four points
Hyperobla
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Question # 29
Two balanced dice are tossed once, the sample space when the integers on the faces of two dice are the same is
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{(1, 1), (2, 2), (3, 3)}
{(4, 4), (5, 5), (6, 6)}
{(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)}
None of these
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Question # 30
A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from
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X to X
X to Y
Y to X
none of these
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Question # 31
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