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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
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perpendicular vectors
parallel vectors
concurrent vectors
none of these
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Question # 2
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Question # 3
Empty set is
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Not the member of real numbers
Infinite set
Finite set
Not subset of every set
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Question # 4
If the st. line 3x + 4y = K touches the circle x
2
+ y
2
- 10x = 0 then the value of K is
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-1 or 20
-10 or 40
-2 or 20
2 or 20
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Question # 5
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3 sec
2
x
3 sec
2
3x
sec
2
3x
sec
2
x
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Question # 6
For what value of k, 3x -2y+ k= 0 is tangent to the circle x2 +y2 +6x -4y =0
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k=0
k=0 or 26
k = 26
k=-13
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Question # 7
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Question # 8
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Question # 9
The series obtained by adding the terms of an arithmetic sequence is called the
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Infinite series
Harmonic series
Geometric series
Arithmetic series
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Question # 10
The conic ax2+2hxy+by2+2gx+2fy+c= 0 never represent a circle if
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a≠ b,h≠0
a=b
h≠0
h=0
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Question # 11
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Question # 12
If you are looking a bird in the tree from the ground then the angle formed is called angle of______;
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Elevation
Depression
Right angle
None of these
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Question # 13
The measure of the angle subtended at the centre of the circle by an arc, whose length is equal to the radius of the circle is
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1
0
1'
1"
1 rad
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Question # 14
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Singular
Non-singular
Adjoint
None of above
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Question # 15
A square matrix A = [aij] is upper triangular when
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cij = 0
bij = 0
aij = 0 for all i > j
dij = 0
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Question # 16
The square matrix A is skew-symmetric when At =
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-B
-C
-A
-D
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Question # 17
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3
6
0
None of these
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Question # 18
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0
-1
1
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Question # 19
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Question # 20
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 # 21
If all members of a sequence are real numbers then it is called
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A.P
Real Sequence
G.P
None of these
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Question # 22
Trival solution of homogeneous linear equation is
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(0, 0, 0)
(1, 2, 3)
(1, 3, 5)
a, b and c
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Question # 23
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0
1
undefined
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Question # 24
A triangle has ____ elements
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3
4
5
6
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Question # 25
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1
2
-2
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Question # 26
For two events A and B if P(A) = P (A/B) = 1/4 and P(B/A) = 1/2, then
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A is sub-event of B
A and B are mutually exclusive
A and B are independent and P(A/B) = 3/4
None of these
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Question # 27
G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are
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2,2,2
3,3,3
2,2,4
2,3,4
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Question # 28
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Question # 29
202.04 is an example of
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Recurring decimals
Non-recurring decimals
Terminating decimals
None of above
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Question # 30
The equation of the circle wit (-1, 1) and radius 2 is
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Question # 31
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