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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Which one is not defined∀n∈Z+
Choose an answer
-n!
n!
(-n)!
n!+0!=n!+1
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Question # 2
∀x,y∈ R and x < 0, y < 0, which one is true
Choose an answer
xy < o
xy = o
xy > o
None of these
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Question # 3
If the matrices A and B are conformable for multiplication then (AB)
t
= ______
Choose an answer
AB
A
t
B
t
B
t
A
t
A
t
B
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Question # 4
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Question # 5
For non-trival solution |A| is
Choose an answer
A = 0
A
t
= 0
|A| = 0
None of these
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Question # 6
The symbol of irrational is
Choose an answer
W
N
Q
Q'
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Question # 7
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Question # 8
x = r2, y = 1 are the parametric equation of
Choose an answer
Circle
Hyperbola
Ellipse
Parabola
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Question # 9
Choose an answer
0
U
u/2
log u
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Question # 10
Matrices are represented by
Choose an answer
Natural numbers
Real numbers
Small letters
Capital letters
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Question # 11
Choose an answer
184
none of these
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Question # 12
If a and b are real numbers then a+b is also real number this law is called
Choose an answer
associative law of addition
closure law of addition
Distributive law of addition
Commutative law of addition
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Question # 13
Choose an answer
3/4
r
v
None of these
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Question # 14
If a
1
, r and a
n
are the first term, common ratio and the nth term respectively of a G. P. then a
n
=
Choose an answer
a
1
r
n
a
1
r
n-1
a
1
r
n+1
a
1
r
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Question # 15
If in a set of real no a is additive identity then
Choose an answer
a+a = 2a
a+a = 1
a+a = 0
None of these
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Question # 16
Choose an answer
P(A) + P(B)
P(A) - P(B)
P(A) . P(B)
P(A) / P(B)
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Question # 17
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Question # 18
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Question # 19
How many term are there in the A.P, in which a
1
= 11 , a
n
=68, d=3
Choose an answer
30
27
20
21
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Question # 20
The distance of the point (a, b) from x-axis is
Choose an answer
a
b
a + b
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Question # 21
If x
3
- x
2
+ 5x
+ 4 is divided by x - 2, then the reminder is
Choose an answer
0
2
18
14
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Question # 22
Two tangents drawn from (2,3) to the circle x2+y2 =9 are
Choose an answer
Real and distinct
Imaginary
Real and coincident
None of these
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Question # 23
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Question # 24
The value of i
4n+1
Choose an answer
1
-1
i
i
2
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Question # 25
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Question # 26
The minimum value of the quadratic function f(x) = x2 +6x -2, is
Choose an answer
11
6
-11
13
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Question # 27
How many arrangements of the letters of the word ADDING can be made
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Question # 28
If x - 2 is a factor of ax2- 12x + a = 2a, then a = ______
Choose an answer
-5
5
0
1
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Question # 29
√(-1b) =?
Choose an answer
b i
-i b
b2
i√b
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Question # 30
The standard parabolic form of the equation f(x) = x
2
+4 x +1 is
Choose an answer
x(x+4)+1
(x+2)
2
-3
(x+4)
3
+ 9
x(x-2)
2
+1
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Question # 31
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