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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Matrices A = [aij] 2 x 3 and B =[bij] 3 x 2 are suitable for
Choose an answer
BA
A
2
AB
B
2
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Question # 2
Minor of an element a
ij
is denoted by
Choose an answer
M
ij
A
ij
|A|
None of these
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Question # 3
A point where two of its boundary lines intersect is called
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Corner point
Feasible point
Vertex
Feasible solution
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Question # 4
In R, the multiplicative identity is
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0
1
-1
None
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Question # 5
A matrix in which the number of rows is not equal to the number of columns is called a
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Diagonal matrix
Rectangular matrix
Square matrix
Scalar matrix
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Question # 6
Every whole number is
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A real number
An irrational number
A prime number
A negative integer
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Question # 7
If b
1
, b
2
, b
3
, ... are in G.P. with first term unity and common ratio r, then the minimum value of b
1
- b
3
+ b
5
is equal to
Choose an answer
3/4
1/4
1
None of these
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Question # 8
The process of finding a function whose derivative is given is called a
Choose an answer
Differentiation
Integration
Differential
None
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Question # 9
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Question # 10
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 # 11
sin 2
α
=
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Question # 12
Choose an answer
Associative property of addition
Commutative property of addition
Distributive property
Additive identity
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Question # 13
If nis positive integers, then 2
n
>2n+1, only when
Choose an answer
n≤ 3
n≥ 3
n≤ 2
n≤ 1
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Question # 14
The sum of the focal distance from any point on the ellipse 9x2 +16y2 =144 is
Choose an answer
32
16
18
8
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Question # 15
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Question # 16
Multiplying each side of an inequality by (-1) will:
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Not effect
Change the sign
Become zero
Not defined
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Question # 17
Choose an answer
none of these
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Question # 18
0! = ______
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0
1
2
Not defined
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Question # 19
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Question # 20
The distance of the plane 2x - 3y + 6z + 14 = 0 from the origin is
Choose an answer
14
2
-2
11
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Question # 21
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Question # 22
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Question # 23
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0
-2
1
4
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Question # 24
Which is an explicit function
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y = x
2
+ 2x - 1
x
2
+ xy + y
2
= 2
x
2
+ y
2
= xy + 2
All are
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Question # 25
2.333....is a
Choose an answer
Irrational no
Complex no
Rational no
None of these
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Question # 26
By expressing sin 125° in terms of trigonometrical ratios, answer will be
Choose an answer
sin 65° = 0.9128
sin 55° = 0.8192
sin 70° = 0.5384
sin 72° = 0.1982
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Question # 27
A diagonal matrix is always
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Identity
Triangular
Scalar
Non-singular
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Question # 28
Which one is a pair of allied angles
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(180° -
θ)
(180° -
θ,
180° +
θ)
(180° +
θ)
None of these
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Question # 29
(n + 2) (n + 1)n in factorial form is
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Question # 30
If five triangles are constructed having sides of the lengths indicated below, the triangle that will NOT be a right triangle is
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8, 15, 17
3, 4, 5
12, 15, 18
5, 12, 13
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Question # 31
If the roots of ax
2
+ bx + c = 0 (a > 0) be greater than unity, then
Choose an answer
a + b + c = 0
a + b + c > 0
a + b + c < 0
None of these
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