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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The positive integer just greater than (1+0.0001)
10000
is
Choose an answer
4
5
2
3
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Question # 2
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5
-5
none
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Question # 3
If A = {x/x is a positive integer and 4≤x<23}, then A=
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{1,2,3,4,5,6,7}
{4,5,6...........22}
{1,2,3,.........23}
{1,2,3,4,5}
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Question # 4
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Question # 5
A line joining two distinct points on a parabola is called
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Axis
Directrix
Chord
Tangent
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Question # 6
The ratio in which the line y- x+ 2 =0 divides the line joining (3,-1) and (8,9) is
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2:3
-2:3
3:2
-3:2
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Question # 7
A point where two of its boundary lines intersect is called
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Corner point
Feasible point
Vertex
Feasible solution
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Question # 8
A vertical pole is 8m high and the length of its shadow is 6m. The angle of elevation of the sun of the moment is
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57𝜊
-48𝜊
27𝜊
53𝜊
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Question # 9
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Question # 10
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Question # 11
For a positive integer n
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n! = n(n + 1)
n! = n(n+1)!
n! = n(n - 1 )
n! = n(n - 1)!
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Question # 12
sin(a-90°)=______;
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sina
cosa
-sinθ
-cosa
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Question # 13
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Square matrix
Row matrix
Symmetric matrix
Null matrix
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Question # 14
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Question # 15
The domain the function : f(x) = x
2
is given by
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R
Set of all non-negative Real numbers
R
-1
None of these
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Question # 16
In R, the multiplicative inverse of a is
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0
1
-a
1/a
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Question # 17
For trival solution |A| is
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A
|A| is non zero
A = 0
None of these
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Question # 18
The set {1,-1,i,-i}
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Form a group w.r.t addition
Form a group w.r.t multiplication
Does not form a group w.r.t multiplication
Not closed under multiplication
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Question # 19
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none of these
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Question # 20
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none of these
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Question # 21
A fraction in which the degree of the numerator is less the degree of the denominator is called
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Polynomial
Proper fraction
Rational fraction
None
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Question # 22
The line Ax + By + C = 0 will touch the circle x
2
+ y
2
=
λ when
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C
2
=
λ
(A
2
+ B
2
)
A
2
=
λ
(A
2
+ C
2
)
B
2
=
λ
(A
2
+ C
2
)
None of these
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Question # 23
The extraction of cube root of a given number is a
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Unary Operation
Binary Operation
Relation
None of these
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Question # 24
The square matrix A is skew Hermitian when (A)'=
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A
A'
-A
A
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Question # 25
Sec 30° = ______
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Question # 26
The equation of the plane which bisects the line joining (2, 3, 4) and (6, 7, 8) is
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x + y + z - 15 = 0
x - y + z - 15 = 0
x - y - z - 15 = 0
x + y + z + 15 = 0
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Question # 27
Consider the equation px2 + qx + r = 0 where p,q,r are real The roots are equal in magnitude but opposite in sign when
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q = 0, r = 0,p ≠ 0
p = 0,qr≠ 0
r = 0,pq≠ 0
q = 0, pq≠ 0
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Question # 28
A function of the form p(x)/Q(x) is called:
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Rational function
Logarithmic function
Exponential function
Hyperbolic function
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Question # 29
Which one represents a sequence
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an
Sn
a(n)
{an}
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Question # 30
The equation of the circle wit (-1, 1) and radius 2 is
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Question # 31
Choose an answer
1
-1
0
None of these
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