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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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 # 2
The solution set of x
2
- 5x + 6 = 0 is
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{1, 3}
{2, 3}
{1, 2}
None of these
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Question # 3
The roots of (b-c)x2+(c-a) x+a-b=0 are equal if
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2b = a+c
2a = b+c
2c = a+b
a + b + c =0
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Question # 4
Period of sin x is
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Question # 5
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Question # 6
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0.9
0.74
0.2016
None of these
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Question # 7
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A is proper subset of B
A is an improper subset of B
A is equivalent to B
B is subset of A
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Question # 8
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Question # 9
cot
θ
= sin 2
θ
if
θ
=
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Question # 10
Intersection of two parabolas
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parabola
Two points
Four points
Hyperobla
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Question # 11
Period of cos x is _____
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Question # 12
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2
x
2
x
In x
2
x
In 2
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Question # 13
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Question # 14
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Associative property of addition
Associative property of multiplication
Commutative property of addition
Commutative property of multiplication
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Question # 15
If x + y + 1 = 0 touches the parabola y
2
=
λ
x, then
λ
is equal to
Choose an answer
2
4
6
8
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Question # 16
If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is
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α
c
b
d
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Question # 17
The sets {1, 2, 4} and {4, 6, 8, 10} are
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Equal sets
Equivalent sets
Disjoint sets
Over lapping sets
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Question # 18
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Question # 19
The equation of the tangent at vertex to the parabola is y2 = -8(x -3)
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y=0
x=3
x=1
x=5
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Question # 20
Tan(
α
-
β
)=
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Question # 21
The third term in the expansion of (1+2x) is
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-2x2
-4x2
2x2
4x2
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Question # 22
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Question # 23
The minimum value of the quadratic function f(x) = x2 +6x -2, is
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11
6
-11
13
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Question # 24
Two coins are tossed twice each. The probability that the head appears on the first toss and the same forces appear in the two tosses is
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1/4
1/2
1/3
1/7
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Question # 25
The transpose of a column matrix is a ______
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Zero matrix
Diagonal matrix
Column matrix
Row matrix
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Question # 26
150°= ______
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Question # 27
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0
-1
1/2
1
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Question # 28
If B⊆ A, then complement of B in A is = -----------------------
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A-B
A∩B
B-A
A∪B
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Question # 29
The 5th term of (3a-2b)
-1
is
Choose an answer
77b
2
/a
5
16b
2
/243 a
5
17b
4
/43a
5
25b
3
/43a
5
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Question # 30
The set of positive integers, 0 and negative integers is known as the set of
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Natural numbers
Rational numbers
All integers
Irrational numbers
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Question # 31
A matrix in which the number of rows is 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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