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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
√-1 b=
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b
2
2b
None of these
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Question # 3
The probability that the sum of dots appearing in two successive thrown of two dice, in every time 7 is
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1/5
1/36
1/7
1/63
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Question # 4
The equation of the circle wit (-1, 1) and radius 2 is
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Question # 5
A triangle has six
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side
elements
angle
tangents
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Question # 6
y=-a is the equation of the directrix of
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y2 =4ax
x2=-4ay
x2=4ay
y2=-4ax
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Question # 7
The sum of n terms of a series is denoted by
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d
n
S
n
a
n
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Question # 8
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Principle of equality of fractions
Rule for product of fractions
Golden rule of fractions
Rule for quotient of fractions
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Question # 9
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Question # 10
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Question # 11
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Question # 12
A joint equation of the lines through the origin and perpendicular to the lines ax2 +2hxy +by2 =0 is indentical is ax2 +2hxy +by2 =0 if
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h2 = ab
a + b =0
a = b
a≠ b
a = b = 0
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Question # 13
Three unbiased coins are tossed. Then the probabilities of getting two heads is
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3/8
1/8
1/4
None of these
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Question # 14
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Question # 15
If 0 = R, thenthe additive inverse of a is
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1/9
1/-9
a
-a
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Question # 16
When we expand (a + 2b)
5
then
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a
5
+ 10a
4
b + 40a
3
b
2
+ 80a
2
b
3
+ 80ab
4
+ 32b
5
a
5
+ a
4
b + a
3
b
2
+ a
2
b
3
+ ab
4
+ b
5
5a
5
+ 4a
4
b + 3a
3
b
2
+ 2a
2
b
3
+ 1 ab
4
+ b
5
None
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Question # 17
The law of cosines reduces to a2 +c2 =b2 for
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α = 90°
β = 90°
γ = 90°
α +β +γ =180°
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Question # 18
sin2 π/6 + sin2 π/3 + tan2 π/4 =______;
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1
2
3
4
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Question # 19
Trival solution of homogeneous linear equation is
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(0, 0, 0)
(1, 2, 3)
(1, 3, 5)
a, b and c
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Question # 20
Tan
-1
1/x = ______
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sin x
sec
-1
X
cot
-1
X
None of these
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Question # 21
Decimal part of irrational number is
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Terminating
Repeating only
Neither repeating nor terminating
Repeating and terminating
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Question # 22
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7
5
6
None of these
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Question # 23
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Question # 24
A disjunction of two statement p and q is true
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p is false
q is false
Both p and q are false
One of p and q is true
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Question # 25
Z is the set of integers (Z.*) is a group with a * b = a +b +1, a,b ∈ G.then inverse of a is
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-a
a +1
-1-a
None of these
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Question # 26
If the vertex of the parabola is the origin and directrix is x+5 = 0 . then its latus rectum is:
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10
5
0
20
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Question # 27
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2
4
8
16
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Question # 28
The total number of subsets that can be formed out of the set {a, b, c} is
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1
4
8
12
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Question # 29
the latus rectum of the parabola x
3
= -4ay is:
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x = a
y = -a
x = -a
y = 0
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Question # 30
i
101
=
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i
i
2
-i
-1
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Question # 31
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cos 2x
2 cos 2x
2 sin2x
-2 cos2x
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