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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The 7th term of the A.P 7,11,15,is
Choose an answer
24
31
26
23
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Question # 2
The equation of the circle with centre (-h, -k) and radius r is
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(x +h)
2
+ (y+k)
2
= r
2
(x +h)
2
+ (y-k)
2
= r
2
(x -h)
2
+ (y+k)
2
= r
2
(x -h)
2
+ (y-k)
2
= r
2
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Question # 3
If f(x) = -x
3
then f(-2) is
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-2
-4
-8
8
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Question # 4
If A is a skew-symmetric matrix of order n and P, any square matrix of order n, prove that P' AP is
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Skew-symmetric
Symmetric
Null
Diagonal
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Question # 5
The product of complex numbers (a,b) and (c,d) is
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(ac, bd)
(ac-bd, ad+bc)
(ab,cd)
(ac+bd,ad-bc)
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Question # 6
The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is
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120
100
140
160
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Question # 7
Given two independent event A and B such that P(A) = 0.30 and P(B) = 0.60. Probability of getting neither A nor B is
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0.28
0.13
0.12
0.42
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Question # 8
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none of these
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Question # 9
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Question # 10
A square is inscribed in the circle x
2
+ y
2
- 2x + 4y + 3 =0. Its sides are parallel to the co-ordinate axes. Then one vertex of the square is
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Question # 11
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Question # 12
A quadratic equation in x is an equation that can be witten in the form
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ax
2
+ b = 0
ax
3
+b
2
+c=0
ax
2
+bx+c=0
ax
3
+bx
3
+cx=0
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Question # 13
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-3
-7
1
0
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Question # 14
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0
1
2
1/2
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Question # 15
If line through (4,3) and (2,k) is perpendicular to y =2x +3, then k =_______
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-1
1
-4
4
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Question # 16
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tan 3x + c
cot 3x + c
- cot 3x + c
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Question # 17
the curve of the parabola y
2
= -4ax is symmetric with respect to
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x -axis
y - axis
Botha x and y- axis
None of thes
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Question # 18
A fraction in which the degree of the numerator is greater than or equal to the degree of the denominator is called
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A proper fraction
An improper fraction
An equation
An identity
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Question # 19
A conditional is regarded as false only when the antecedent is true and consequent is
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True
False
Known
Unknown
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Question # 20
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Question # 21
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A
B
U
None of these
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Question # 22
If G is a G.M between a and b then a,G,b are in
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A.P
H.P
G.P
None of these
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Question # 23
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0
1
none of these
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Question # 24
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Question # 25
The distance of the point (a,b) from y-axis is
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a
b
a + b
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Question # 26
The sum of complex number (a,b) and (c,d) is
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Question # 27
If a,β are the roots of ax2+bx+c=0,the equation whose roots are doubled is
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ay2 +2by+c=0
ay2+2by+4c=0
ay2+2by+c=0
ay2+by+4c=0
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Question # 28
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Question # 29
The total number of subsets that can be formed out of the set {a, b, c} is
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1
4
8
12
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Question # 30
The trigonometric function are continuous whenever
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They are defined
their limit exist
Their period is given
All are incorrect
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Question # 31
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