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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
Vector
i
=
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[1,0]
[0,1,0]
[0,0,1]
None of these
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Question # 2
∀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 # 3
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Question # 4
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The law of of sines
The law of tangents
The law of consines
None of these
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Question # 5
If a,β are the roots of ax2+bx+c=0,the equation whose roots are doubled is
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ay2 +2by+c=0
ay2+2by+4c=0
ay2+2by+c=0
ay2+by+4c=0
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Question # 6
Choose an answer
none of these
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Question # 7
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Lies between 4 and 7
Lies between 5 and 9
Has no value between 4 and 7
Has no value between 5 and 9
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Question # 8
Out of 10, 000 families with 4 children each, the number of families all of whose children are daughters is
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375
500
625
150
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Question # 9
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Question # 10
sec (-360°) = ______
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0
1
2
3
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Question # 11
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 # 12
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Question # 13
For a square matrix A, if A = At, then A is called
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Matrix
Transpose
Symmetric
Non-symmetric
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Question # 14
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none of these
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Question # 15
The longer side of a parallelogram is 10 cm and the shorter is 6 cm. If the longer diagonal makes an angles 30° with the longer side, the length of the longer diagonal is
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Question # 16
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Null matrix
Triangular matrix
Unit matrix
Rectangular matrix
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Question # 17
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trigonometric equation
conditional equation
identity
None
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Question # 18
Domain of 2 cos x is ______
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[-2, 2]
R
Negative real numbers
None of these
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Question # 19
The point R dividing internally the line joining the points P(x
1
, y
1
) and Q(x
2
, y
2
) in the ratio K
1
: K
2
has the coordinates
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Question # 20
sin5θ+sin3θ = _______;
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2sin 4θ cosθ
2cos 4θ sinθ
2cos 4θ cosθ
-2sin 4θ sinθ
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Question # 21
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Question # 22
If the angle of a triangle are in the ratio 2 : 3 : 7, the triangle is
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Obtuse
Acute
Right angle
Isosceles
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Question # 23
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Question # 24
The extraction of cube root of a given number is a
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Unary Operation
Binary Operation
Relation
None of these
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Question # 25
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Question # 26
The point (x
1
, y
1
) lies outside the circle x
2
+ y
2
+ 2gx + 2fy + c =0 if
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Question # 27
f(x) = sin x + cos
2
x is
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trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 28
9. 8. 7. 6= ______
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Question # 29
Range of y = sec x is
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-1≤ y≤ 1
y≥ 1 or y≤ -1
y≤ 1or y≥ -1
-∞ < y < +∞
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Question # 30
x = 1 is in the solution of the inequality
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x + 1 > 0
x - 2 > 0
3x - 1 < 0
x + 2 < 0
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Question # 31
The complement of set A relative to universal set U is the set
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