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Online Tests
ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
If A(a,b) lies on 3x +2y =13 and point B(b,a) lies on x-y =5 then equation of AB is
Choose an answer
x- y= 5
x+ y+ =5
x+ y= -5
5x +5y =21
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Question # 2
What is the axis of the parabola y
2
= 4ax?
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x = 0
y = 0
x = a
y = 0
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Question # 3
Tan 360° = _______
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-1
0
1
Undefined
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Question # 4
Choose an answer
-1
0
1
None of these
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Question # 5
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Question # 6
Which of the following is skew symmetric matrix
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Question # 7
The point on y
2
= 4ax nearest to the focus has its abciassae equal to
Choose an answer
-a
a
a/2
0
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Question # 8
The positive real number which is the measure of the length of a vector is called the
Choose an answer
Unit vector
Modulus
Inverse
None of these
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Question # 9
x
3
+ 2x
2
- 3x + 5 is ______
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An equation
A polynomial
Proper rational fractions
Improper rational fractions
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Question # 10
2x
3
+ 3x + 9 is a ______
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Polynomial of degree 3
Quadratic equation
Cubic equation
Polynomial of degree 2
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Question # 11
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 # 12
Choose an answer
none of these
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Question # 13
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Question # 14
A triangle has six
Choose an answer
side
elements
angle
tangents
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Question # 15
Choose an answer
Always negative
Zero
Always positive
Infinity
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Question # 16
sin -1(sin2π/3) =
Choose an answer
π/2
2π/3
-3π/2
π/3
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Question # 17
The term involving x
4
in the expansion (3-2x) is
Choose an answer
217x
4
15120x
4
313x
4
-25x
4
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Question # 18
If the lower limit of an integral is a constant and the upper limit is a variable, then the integral is a
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Constant function
Variable value
Function of upper limit
All
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Question # 19
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Question # 20
The key for opening a door is in a bunch of 10 keys. A man attempts to open the door by trying the keys at random discarding the wrong key. The probability that the door is opened in the 5th trial is
Choose an answer
1 / 10
2 / 10
3 / 10
4 / 10
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Question # 21
If |a x b|2 + (a,b)2 = _____
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|a|2 + |b|2
|a|2- |b|2
|a|2|b|2
None
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Question # 22
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 # 23
Z is a
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Infinite set
Finite set
Singleton set
Set of all integers
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Question # 24
Three points whose position vector a,b,c are collinear
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axb +b x c+ c x a = 0
a,b +b,c +c,a =0
a,|a xc| =0
a+b+c =0
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Question # 25
If z = (x,y) , then z ̅ =
Choose an answer
(-x,y)
(x,-y)
(-x, -y)
None of these
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Question # 26
A number A is said to be the A.M between the two numbers a and b if a, A, b are in
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A.M
A.P
G.P
G.M
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Question # 27
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Question # 28
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Question # 29
Which of the following is the subset of all sets
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Φ
{1,2,3}
{Φ}
{0}
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Question # 30
A second degree equation in which coefficients of x
2
and y
2
are equal and there is no product therm xy represents:
Choose an answer
a parabola
a circle
an ellipse
a pair of lines
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Question # 31
The period of|sin2x| is
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π/2
-π/2
π
π/3
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