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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The exterior angle of the interior angle C of he quadrilateral whose vertices are A(5,2),B(-2,3),C(-3,-4),D(4,-5) is
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30°
60°
45°
90°
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Question # 2
The number of terms in the expansion of (a + x)
12
is
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13
12
11
10
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Question # 3
Number of ways of writing the letters of WORD taken all at a time is
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24
4
12
6
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Question # 4
If one root of 5x2 + 13x + k = 0 be the reciprocal of the other root the value of k is
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0
2
1
5
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Question # 5
If x
3
+ ax
2
- a
2
x - a
3
is divided by x + a, then the remainder is
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0
a
3
2a
3
-2a
3
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Question # 6
The maximum value of the quadratic function f(x) = -2x2+20x,is
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4
3
50
7
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Question # 7
The identity element with respect to subtraction is
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0
1
-1
Does not exist
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Question # 8
The 7th term of the A.P 7,11,15,is
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24
31
26
23
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Question # 9
60° = ______
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Question # 10
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Question # 11
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Question # 12
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Question # 13
The points A(3,1),B(-2,-3),C(2,2) are vertices of an (an)
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Right triangle
Equilateral triangle
Isosceles triangle
Scalene triangle
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Question # 14
nCn-r is equal to
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n!
n-1Cr
nCr
None of these
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Question # 15
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28 / 81
28 / 243
81 / 28
243 / 82
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Question # 16
Q∪ Q' =
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Q
Q'
N
R
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Question # 17
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Orthogonal
Involutary
Idempotent
Nilpotent
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Question # 18
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real number
complex number
rational number
irrational number
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Question # 19
∫ x cos dx is equal to :
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x cos x + sin x
cos x + x sin x
x cos x + x sin x
x sin x + cos x
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Question # 20
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Question # 21
The value of sin [ arc cos (-1/2)] is
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Question # 22
The expansion of (1 + 2x)
-2
is valed if
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| x | < 1/2
| x | < 1
| x | < 2
| x | < 3
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Question # 23
The distance between the points (1, 2) and (2, 1) is
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3
6
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Question # 24
Sum of first n terms of an arithmetic series is
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Question # 25
The null vector is regarded to be perpendicular to
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Every vector
In some cases
Both a b
None
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Question # 26
The coefficient of x
10
in the expansion (x
3
+3/x
2
)
10
is
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1700
17023
17027
17010
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Question # 27
The unit vector along x-axis is
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none of these
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Question # 28
The distance of the point (2, -3) from x-axis is
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-2
-3
2
3
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Question # 29
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Question # 30
sin
-1
[-1/2] = ______
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Question # 31
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