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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
Three points whose position vector a,b,c are collinear
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axb +b x c+ c x a = 0
a,b +b,c +c,a =0
a,|a xc| =0
a+b+c =0
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Question # 4
If S and P are the sum and the product of roots of a quadratic equation, then the quadratic equation is
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x
2
+ Sx - P = 0
x
2
- Sx + P = 0
x
2
- Sx - P = 0
X
2
+ Sx + P = 0
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Question # 5
The sum of all odd numbers between 100 and 200 is
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6200
7500
6500
3750
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Question # 6
Sine rule for a triangle states that
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a/sin A = b/sin B = c/sin C
sin A/a = sin B/b = sin C/c
a/sin A + b/sin B + c/sin C
2a/sin A = 2b/sin B = 2c/sin C
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Question # 7
If p and q are two statements then their conjunction is denoted by
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Question # 8
Let A is a 3 x 3 matrix and B is its adjoint matrix. If |B| = 64, then |A| =
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Question # 9
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Question # 10
If -1 < x < 0, which of the following statements must be true?
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x < x
2
< x
3
x < x
3
< x
2
x
2
< x
3
< x
x
2
< x < x
3
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Question # 11
If (2, 3) is the mid point of (a, 3) and (5, b) then
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a = 1 , b = -3
a = -1 , b = 3
a = 1 , b =3
a = -1 , b = -3
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Question # 12
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Question # 13
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Question # 14
The third term of a G.P. is the square of first term. If the second term is 8, then the 6th term is
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120
124
128
132
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Question # 15
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Question # 16
i
=
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√1
√2
√-2
√-1
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Question # 17
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all
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Question # 18
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 # 19
The third term of a G.P. is 4, The product of first five terms is
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43
45
46
None of these
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Question # 20
3/4 is ______
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An odd number
An even number
A natural number
A rational number
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Question # 21
The line y= 4x +c touches the hyperbola x2- y2 =1 if and only if
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c =±√2
c =0
c=±√17
c=±√15
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Question # 22
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Question # 23
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Question # 24
If B-A≠φ , then n(B-A) is equal to
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n(a)+n(c)
n(c)-n(a)
n(a)-n(c)
None of these
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Question # 25
The center of the sphore which passes thro' (a, 0, 0), (0, b, 0), (0, 0, c) and (0, 0, 0) is
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Question # 26
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Question # 27
Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b
∈
G. then inverse of a is
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-a
a + 1
-2 -a
None of these
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Question # 28
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2, 3
3, 3
2, 6
2, 4
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Question # 29
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Question # 30
(0.90)
1/2
is equal to
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0.99
0.90
0.80
0.88
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Question # 31
The line 3x - 4y = 0
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Is a tangent to the circle x
2
+ y
2
= 25
Is a normal to the circle x
2
+ y
2
=25
Does not meet the circle x
2
+ y
2
= 25
Does not pass thro' the origin
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