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Online Tests
Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
If one root of 5x2 + 13x + k = 0 be the reciprocal of the other root the value of k is
Choose an answer
0
2
1
5
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Question # 2
(1 - x)
3
= ______
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1 + 3x + 3x
2
+ x
3
1 + x + x
2
+ x
3
1 - x + x
2
- x
3
1 - 3x + 3x
2
- x
3
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Question # 3
The process of finding the unknown elements in triangle is called the
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solution of the triangle
Mean differnece
Engineering distance
angle of depressin
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Question # 4
Roots of the equation 2x
2
- 7x + 3 = 0 are
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Rational
Irrational
Complex
None of these
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Question # 5
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Principle of equality of fractions
Rule for product of fractions
Golden rule for fractions
Rule for quotient of fractions
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Question # 6
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all
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Question # 7
The geometrical representation of a linear function is
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Circle
Parabola
Straight lie
None of these
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Question # 8
If a statement S(n) is true for n = 1 and the truth of S(n) for n = k implies the truth of S(n) for = k + 1, then S(n) is true for all
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Real numbers n
Integers n
Positive integers n
None of these
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Question # 9
Each complex cube root of unity is square of
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itself
1
-1
the other
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Question # 10
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A
B
A'
None of these
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Question # 11
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Question # 12
99th term of the series 2 + 7 + 14 + 23 + 34 + ..... is
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9998
9999
10000
None of these
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Question # 13
The value of sin
2
20° + sin
2
70° is equal to
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1
2
-1
1/2
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Question # 14
Two matrices A and B are conformable for the product AB if
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Both A and B are square
Both A and B are symmetric
Number of rows of A = number of columns of B
Number of columns of A = number of rows of B
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Question # 15
If x
2
- 7x + a has remainder 1 when divided by x + 1, then a = ______
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-7
7
0
None of these
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Question # 16
A kite flying at a height of 67.2 m is attached to a fully stretched string inclined at an angle of 53 to the horizontal, the length of the string
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62m
82m
73m
57m
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Question # 17
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0
1
1/2
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Question # 18
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Question # 19
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Question # 20
x
2
+ x - 6 = 0 is
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An equation
An identity
A polynomial
None of these
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Question # 21
A diagonal matrix is always
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Identity
Triangular
Scalar
Non-singular
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Question # 22
Number of conics is
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1
3
2
4
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Question # 23
The complement of set A relative to universal set U is the set
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Question # 24
Out of 40 consecutive natural numbers, two are chosen at random. Probability that the sum of the numbers is odd, is
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14 / 29
20 / 39
1 / 2
n
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Question # 25
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Question # 26
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 # 27
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 # 28
The number of solution of the equation tan x + sec x = 2 cos x lying in the interval [0, 2
π
] is
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0
1
2
3
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Question # 29
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none of these
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Question # 30
If 4 > b or a < b than a = b is a
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Additive property
Transitive property
Trichotomy property of inequality
None of above
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Question # 31
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none of these
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