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ECAT Mathematics Online Test MCQs With Answers
Question # 1
If the points (a,2b):(c,a+b):(2c-a,h) lie on the same line then
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h=2a
h=a+b
h=ab
h=ac
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Question # 2
If a
1
= a
2
= 2, a
n
= a
n-1
- 1 (n > 2), then a
5
is
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1
0
-1
-2
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Question # 3
In R the right cancellation property w.r.t. addition is
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Question # 4
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Question # 5
The period of 3 sin x is
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2π
9π
3π
5π
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Question # 6
A square matrix A = [aij] is lower triangular matrix when:
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aij = 0 for all i < j
bij = 0
cij = 0
dij =0
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Question # 7
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Question # 8
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 # 9
Arithmetic mean between 14 and 18 is
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16
17
15
32
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Question # 10
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Question # 11
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 # 12
The sum of the even coefficients in the expansion (1 + x)
n
is
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n
2
2
n-2
2
n-1
2
n
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Question # 13
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1, 1/2, 0
1, 2, 1
1, 2, 3
1, 2, 0
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Question # 14
If the domain of sequence is finite set then the sequence is called
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geometric sequence
infinite sequence
finite sequence
arithmetic sequence
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Question # 15
(a +b
i
) -c (c +d
i
) =
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(a +b) = (c +d)
(a +c) + i(b +d)
(a -c) + (c -d)
i
(a -c) +(b -d)
i
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Question # 16
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x
-2
+ c
not possible
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Question # 17
By expressing cos 113° in terms of trigonometrical ratios, answer will be
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− cos 76° = -0.7093
− cos 65° = -0.4258
− cos 67° = -0.3907
− cos 62° = -0.8520
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Question # 18
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16 / 7
6 / 17
7 / 16
None of these
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Question # 19
Derivative of sin x w.r.t. sin x is
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0
1
sin x
cos x
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Question # 20
cos
θ/2=
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Question # 21
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Question # 22
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Question # 23
The remove the term involving xy, from 7x2 -6√3xy+ 13y2 -16 =0 the angel of rotation is
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θ = 30°
θ = 45°
θ = 60°
θ = 75°
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Question # 24
The system of measurement in which the angle is measured in degrees, minutes and seconds is called the
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circular system
CGS system
sexagesimal system
none of these
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Question # 25
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 26
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Question # 27
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 # 28
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Question # 29
The discriminant of the quadratic equation ax
2
+ bx + c = 0 is
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b
2
+ 4ac
b
2
- 4ac
4ac - b
2
a
2
- 4ac
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Question # 30
x = -1 is in the solution of the inequality
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x + 5 < 0
2x + 3
<
0
x > 0
2x + 3 > 0
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Question # 31
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