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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
If a > 0, b > 0, c > 0, then the roots of the equation ax
2
+ bx + c = 0 are
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Real and negative
Non-real with negative real parts
Real and positive
Nothing can be said
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Question # 3
When a selection of object is made without paying regard to the order of selection, it is called
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Sequence
Series
Combination
Permutation
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Question # 4
For each natural number n, n (n+1) is
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an even
an odd
multiple of 3
Irrational
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Question # 5
For graphing a linear inequality, solid line is drawn if the inequality involves the symbols:
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> or <
>
or
<
= or≠
= or >
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Question # 6
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Question # 7
24 can be written as a product of
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Odd factors
Even factors
Whole factors
Prime factors
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Question # 8
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Question # 9
If (0, 0) and (-1, 0) are end points of a diameter, then the equation of the circle is
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Question # 10
If for the matrix A, A
5
= I, then A
-1
=
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A
2
A
3
A
None of above
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Question # 11
The distance between the points A(3,1) and B(-2,-4) is
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5
25
10
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Question # 12
The set {1,-1, i, -i} form a group under
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Addition
Multiplication
Subtraction
None
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Question # 13
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b = c
a = c
a = c
b = 0
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Question # 14
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real number
complex number
rational number
irrational number
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Question # 15
The graph of the linear equation of the form ax =by = c is a line which divided the plane into:
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Two similar regions
Two disjoint regions
Four equal parts
One region
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Question # 16
In any triangle ABC,with usual notationαsinβ =____;
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b sinα
bsinβ
αsinα
None of these
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Question # 17
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One-one but not onto
One-one and onto
Onto but not one-one
Neither one-one nor onto
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Question # 18
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Question # 19
If y = eax sin bx and y2 - 2ay1 + (a2+b2) y=0 the for what values of a and b we have y2+10y1+34y =0
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a = -10,b=34
a=-5,b=3
a=5,b=3
a=10,b=34
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Question # 20
A die is thrown 100 times. If getting an odd number is considered a success, the variance of the number of successes is
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50
25
10
100
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Question # 21
Under multiplication, solution set of is
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Groupoid
Abelian group
Semi group
All of these
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Question # 22
The solution set of x < 4 is
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-
∞
< x < 4
-
∞
> x > 4
-
∞
< x < 2
-
∞
> x > 2
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Question # 23
A number A is said to be the A.M between the two numbers a and b if a, A, b are in
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A.M
A.P
G.P
G.M
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Question # 24
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Set of whole number
Rational Numbers
Complex numbers
Whole numbers
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Question # 25
The value of sin [ arc cos (-1/2)] is
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Question # 26
If cos (2 sin-1 x) = 1/9 , then what is the value of x?
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1/3
-2/3
2/3
2/3 , -2/3
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Question # 27
The set Q
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Forms a group under addition
Does not form a group
Contains no additive indentity
Contains no additive inverse
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Question # 28
QUQ, =
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N
R
W
Z
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Question # 29
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Question # 30
The minimum value of the quadratic function f(x) = 5 x 2-11,is
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7
-7
6
-11
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Question # 31
If a (p + q)
2
+ bpq +c = 0 and a (p + r)
2
+ 2 bpr + c = 0, then qr equals
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p
2
+ c/a
p
2
+ a/c
p
2
+ c/a
p
2
- c/a
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