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ECAT Mathematics Online Test MCQs With Answers
Question # 1
If x - 2 is a factor of ax2- 12x + a = 2a, then a = ______
Choose an answer
-5
5
0
1
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Question # 2
Choose an answer
none of these
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Question # 3
The probability to get an odd number in a dice thrown once is
Choose an answer
6
1
1/6
1/2
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Question # 4
The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is
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2 x 3
3 x 2
2 x 5
5 x 2
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Question # 5
The differential equations of all conis whose axes coincide with the co-ordinate axis is
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Question # 6
In R, the multiplicative identity is
Choose an answer
0
1
-1
None
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Question # 7
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0
1
none of these
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Question # 8
The set {x|x∈N∧x-4=0} in tabular form is
Choose an answer
{-4}
{0}
{}
None of these
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Question # 9
If f(x) = (-x)
2
then f(-2) is
Choose an answer
0
2
-4
4
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Question # 10
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Question # 11
The value of x for which the polynomials x2 - 1 and x2 -2x + 1 vanish simultaneously is
Choose an answer
2
1
-1
-2
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Question # 12
r + 3 >5 then which is true
Choose an answer
r + 2 > 4
r + 2 < 4
r + 2 = 4
None
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Question # 13
If f(x) = x
2
then f(-2) is
Choose an answer
-2
2
4
-4
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Question # 14
∛8.6 is approximately equal to
Choose an answer
2.488
2.48
2.0488
2.05
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Question # 15
Choose an answer
(x
3
- 3x
2
)
8
+ c
3x
2
- 6x + c
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Question # 16
The axis of the parabola y
2
= 4ax is
Choose an answer
X = 0
Y = 0
X = y
X = -y
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Question # 17
Choose an answer
x
39
40x
39
40x
41
none of these
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Question # 18
If (2,0) is the vertex and y-axis is directrix of parabola then focus is
Choose an answer
(2,0)
(-2,0)
(4,0)
(-4,0)
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Question # 19
The third term of the sequence a
n
= (-1)
n-1
(n-7) is ______
Choose an answer
8
4
-4
8
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Question # 20
Choose an answer
4(x
3
- 3x
2
)
3
+ c
3x
2
- 6x + c
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Question # 21
The value of sin
2
20° + sin
2
70° is equal to
Choose an answer
1
2
-1
1/2
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Question # 22
The condition for polynomial equation ax2 + bx + c = 0 to be quadratic is
Choose an answer
a > 0
a < 0
a≠ 0
a≠ 0,b ≠ 0
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Question # 23
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Question # 24
A circle passing through the vertices of any triangle is called
Choose an answer
Circumcirle
Incircle
Escribed circle
Unit circle
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Question # 25
The sample space for tossing a coin once is
Choose an answer
{T, T}
{H, H}
{H, T}
None of these
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Question # 26
Cofactor of an element aij denoted by Aij is
Choose an answer
(-2)i+j
Mij
(-1)i+j Mij
None of above
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Question # 27
A matrix with a single column is called
Choose an answer
Column matrix
Row matrix
Identity matrix
Null matrix
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Question # 28
The exact value of cos
-1
(-1) + cos
-1
(1) =
Choose an answer
π
-π
π/2
π/3
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Question # 29
Range if y = cos x is
Choose an answer
-1≤ y≤ 1
-1 < y < 1
-∞ < x < +∞
None of these
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Question # 30
14 is not a
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Prime number
Whole number
Even number
Real number
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Question # 31
Choose an answer
0.9
0.74
0.2016
None of these
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