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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The radius of the circle (x - 1)
2
+ (y + 3)
2
= 61 is
Choose an answer
8
4
64
None of these
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Question # 2
If the trace of matrix A is 5, then the trace of the matrix 3A is
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3/5
5/3
8
15
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Question # 3
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P(A) + P(B)
P(A) - P(B)
P(A) . P(B)
P(A) / P(B)
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Question # 4
The range of the tangent function is
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all real numbers
-1 ≤ x ≥ 1
natural number
z
+
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Question # 5
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Question # 6
The equation of the circle wit (-1, 1) and radius 2 is
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Question # 7
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Question # 8
Number of terms in the expansion of (a+x)
n
is
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n - 1
n + 1
n + 2
n + 3
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Question # 9
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6x - 2 + c
x
3
- x
2
+ x + c
6x - x
2
+ c
6x
3
- x
2
+ c
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Question # 10
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Question # 11
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f(x) = x
2
f(x
2
) = x
f(x) = x
none of these
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Question # 12
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all are correct
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Question # 13
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3
6
0
None of these
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Question # 14
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Question # 15
i
101
=
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i
i
2
-i
-1
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Question # 16
The value of the expression sin
θ
+ cos
θ
lies between
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Question # 17
I is not
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Real number
Natural number
Prime Number
Whole Number
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Question # 18
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y/x
x/y
y/z
None
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Question # 19
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Question # 20
Geometric mean between a and b is
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Question # 21
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none of these
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Question # 22
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0
-1
1
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Question # 23
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None of these
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Question # 24
(a +b
i
) -c (c +d
i
) =
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(a +b) = (c +d)
(a +c) + i(b +d)
(a -c) + (c -d)
i
(a -c) +(b -d)
i
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Question # 25
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 # 26
If A ⊆ B then A ∪ B is
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A
B
A'
A ∩B
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Question # 27
How many 6-Digit number can be formed without repairing any digit from the digits 0,1,2,3,4,5
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720
600
120
6-5!
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Question # 28
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I and II quadrants
I and III quadrants
II and III quadrants
II and IV quadrants
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Question # 29
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-1
1
2
-2
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Question # 30
The distance of the point (-2 , -3) from y-axis is
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2
-2
3
-3
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Question # 31
The number of permutations of n objects of which there are n
1
like of one kind, n
2
like of the second kind and n
3
like objects of third kind are
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