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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The equation of motion of a stone thrown vertically up wards is s = ut - 4.9t
2
the maximum height attained by it =
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Question # 2
(1, 1) is the in the solution of the inequality
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3x + 4y > 3
2x + 3y < 2
4x = 3y > 5
2c - 3y > 2
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Question # 3
The synthetic division method is only used to divide a polynomial by
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quadratic equation
binomial
linear equation
monomial
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Question # 4
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Question # 5
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Question # 6
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Question # 7
(1 + 2x)
4
= ______
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1 + 4x + 6x
2
+ 4x
3
+ x
4
1 - 4x + 6x
2
- 4x
3
+ x
4
1 - 8x + 24x
2
- 32x
3
+ 16x
4
1 + 8x+ 24x
2
+ 32x
3
+ 16x
4
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Question # 8
For each even natural number n (n
2
-1) is divisible by
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6
3
4
8
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Question # 9
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Question # 10
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-1
0
1
Undefined
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Question # 11
x = 0 is in the solution of the inequality
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x > 0
3x + 4 < 0
x + 3 < 0
x - 2 < 0
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Question # 12
Two circles are said to be concentric if they have
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same radius
same chord
same centre
same diameter
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Question # 13
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Question # 14
Which of the vectors have opposite direction?
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Question # 15
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Question # 16
∀x, y ∈ R, either x = y or x > y or x < y is
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Transitive property
Reflexive property
Trichotomy property
None of these
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Question # 17
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Principle of equality of Fractions
Rule for product of fraction
Golden rule of fraction
Rule of quotient of Fraction
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Question # 18
The set of all antiderivaties of f(= ∫f(x)dx) is the
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Definite integral
Indefinite integral
Integral
Area
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Question # 19
The general solution of tan 3x = 1 is
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Question # 20
∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of
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Commutative law of addition
Associative law of addition
Additive identity
Additive inverse
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Question # 21
Which is not included in the domain of cos
-1
x
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0
1
-1
2
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Question # 22
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cosec x + c
-cosec x + c
-sec x + c
sec x + c
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Question # 23
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Question # 24
The number of x-intercepts of y= sin x in his period
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0
1
2
3
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Question # 25
If f (x) = 2x+1 then fof (x) = _______;
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4x+3
2x +3
4x +1
None of these
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Question # 26
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none of these
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Question # 27
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1
2
-2
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Question # 28
The roots of the equation ax
2
+ bx + c = 0 are complex/imaginary if
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b
2
- 4ac < 0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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Question # 29
If 3x4 +4x3+x5is divided by x+1 , which of the following is the remainder
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7
-2
6
1
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Question # 30
Additive inverse of - a - b is
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a
-a + b
a - b
a + b
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Question # 31
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