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ECAT Mathematics Online Test MCQs With Answers
Question # 1
Roots of the equation x
2
+ 5x - 1 = 0 are
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Rational
Irrational
Complex
None of these
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Question # 2
For all points (x,y) in second quadrant
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x > 0 , y < 0
x > 0 , y > 0
x < 0 , y < 0
x < 0 , y > 0
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Question # 3
If C={p/p < 18, p is a prime number}, then C =
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{2,3,4,.........17}
{2,4,6,8................16}
{1,3,5,7,9,11,13,15,17}
{3,6,9,12,15}
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Question # 4
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Zero matrix
Diagonal matrix
Column matrix
Scalar matrix
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Question # 5
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2x cos x2
-2xcosxsinx
2x Sin x2
-Sin x2
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Question # 6
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1, 1/2, 0
1, 2, 1
1, 2, 3
1, 2, 0
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Question # 7
In following question, a number series is given with one term missing. choose the correct alternative that will same pattern and fill in the blank spaces.1 , 4, 9, 16, 25, x
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35
36
48
49
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Question # 8
The process of finding a function whose derivative is given is called a
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Differentiation
Integration
Differential
None
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Question # 9
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Question # 10
If x
3
+ ax
2
- a
2
x - a
3
is divided by x + a, then the remainder is
Choose an answer
0
a
3
2a
3
-2a
3
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Question # 11
If ΔABC is right triangle then the law of Cosines reduces to
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The Pythagoras Theorem
The law of Sines
The law of cosines
The law of tangents
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Question # 12
If (0, 0) and (-1, 0) are end points of a diameter, then the equation of the circle is
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Question # 13
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An upper triangular matrix
A lower triangular matrix
A diagonal matrix
A null matrix
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Question # 14
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p < r
p > rr
p + r < 0
p - r < 0
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Question # 15
If a polynomial P(x) is divided by x - a, then the remainder is
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P(o)
P(-a)
P(a)
None of these
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Question # 16
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Question # 17
The angle AOP which the ray from an observer's eye at O to an object at P at a lower level makes with horizontal ray OA through O is called the
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Angle of depression
Angle of elevation
Acute angle
Obtuse angle
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Question # 18
A matrix with a single column is called
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Column matrix
Row matrix
Identity matrix
Null matrix
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Question # 19
The latus rectum of the ellipse 5x
2
+ 9y
2
= 45 is
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10 / 3
5 / 3
3 / 5
3 / 10
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Question # 20
x = ________ is in the solution of 2x - 3 < 0
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2
-2
3
4
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Question # 21
9. 8. 7. 6= ______
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Question # 22
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Question # 23
The slope of x-axis is
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0
undefined
1
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Question # 24
If S is a sample space and event set E =Φ then P(E) is
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>0
1
<1
0
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Question # 25
It is not possible to find the exact value of
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π
√9
∛27
√1
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Question # 26
The mid point of the line segment joining the points A(3,1) and B(-2,-4) is
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(1, -3)
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Question # 27
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a cosec(ax + b) + c
- a cosec(ax + b) + c
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Question # 28
The angle between lines xy =0 is
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45°
60°
90°
180°
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Question # 29
Number of lines passing through three non-collinear points is
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2
3
1
0
∞
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Question # 30
The principal value of sin
-1
(-1/2)
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π/3
π/4
π/6
-π/6
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Question # 31
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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