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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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[0, 0, 0]
[1, 0, 0]
[0, 1, 0]
[0, 0, 1]
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Question # 2
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Question # 3
If z=(x,y) then z has no multiplicative inverse when
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x ≠ 0, y = 0
x = 0, y = 0
x = 0, y ≠ 0
None of these
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Question # 4
In R the number of identity element w.r.t '+' is
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One
Two
Three
Four
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Question # 5
{0} is a
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Empty set
Singleton set
Zero set
Null Set
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Question # 6
The projections of a line segment on x, y, z axes are 12, 4, 3. The length and the direction cosines of the line segment are
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Question # 7
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(1, 3)
(-1, -3)
(1, -3)
(-1, 3)
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Question # 8
Circumcentre of the triangle, whose vertices are (0, 0), (6, 0) and (0, 4) is
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(2, 0)
(3, 0)
(0, 3)
(3, 2)
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Question # 9
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Question # 10
(51)
4
is equal to
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7065201
8065201
6765201
6565201
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Question # 11
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 # 12
Which of the following is the definition of singleton
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The objects in a set
A set having no element
A set having no subset
None of these
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Question # 13
Power set of difference set N-W is
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Empty set
Infinite set
Singleton set
{0,∅}
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Question # 14
If the roots of ax
2
+ bx + c =0 are equal in magnitude but opposite in sign, then
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a = 0
b = 0
c = 0
None of these
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Question # 15
For every positive integers n 1+5+9+....+ (4n - 3) is
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n(2n - 1)
(2n - 1)
n - 1
n
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Question # 16
In R, the additive inverse of a is
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0
1
-a
1/a
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Question # 17
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Question # 18
Every prime number is also
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Rational number
Even number
Irrational number
Multiple of two numbers
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Question # 19
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Question # 20
If A and B are two matrices such that AB = B and BA =A, then A
2
+ B
2
=
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2 AB
2 BA
A + B
AB
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Question # 21
How many arrangements of the letters of the word PAKISTAN cab be made
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Question # 22
If f(x) = x
3
- 2x
2
+ 4x -1 then f(2) is
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7
-16
16
-9
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Question # 23
A man of height 6 ft observes the top of a tower and the foot of the tower at angles of 45° and 30° of elevation and depression respectively. The height of the tower is
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Question # 24
For a positive integer n
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n! = n(n + 1)
n! = n(n+1)!
n! = n(n - 1 )
n! = n(n - 1)!
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Question # 25
Which of the following does not represent absolute value of a vector
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magnitude
length
norm
number
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Question # 26
If (0, 0) and (1, 0) are the end points of a diameter, then the equation of the circle is
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Question # 27
The line through the focus and perpendicular to the directrix is called ______ of the parabola
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axis
focal chord
tangent
latus rectum
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Question # 28
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none of these
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Question # 29
If the roots of ax
2
+ b = 0 are real and distinct then
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ab > 0
a = 0
ab < 0
a > 0, b > 0
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Question # 30
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Always negative
Zero
Always positive
Infinity
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Question # 31
The solution set of the equation 4 cos
2
x - 3 + 0 is
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none of these
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