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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The solution set of x < 4 is
Choose an answer
-
∞
< x < 4
-
∞
> x > 4
-
∞
< x < 2
-
∞
> x > 2
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Question # 2
Tan(
α
-
β
)=
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Question # 3
The period of 3 sin x is
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2π
9π
3π
5π
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Question # 4
if f(x) = x
3
-3x
2
+5x -1, then f(-√2)=
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7+7√2
3+3√2
-7-7√2
-3-3√2
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Question # 5
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Question # 6
The fixed point from which all the points of a circle are equidistant is called the
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chord of the circle
centre of the circle
diameter of the circle
radius of the circle
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Question # 7
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(1,7/3)
(1, 7/5)
(1, 11/7)
(1, 3/5)
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Question # 8
The multiplicative inverse of (a,b) is
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Question # 9
3x + 4
>
0 is
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equation
inequality
identity
none of these
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Question # 10
Three integers are chosen at random from the first 20 integers. Then probability that their product is even, is
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2 / 19
3 / 29
17 / 19
4 / 19
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Question # 11
The condition for polynomial equation ax2 + bx + c = 0 to be quadratic is
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a > 0
a < 0
a≠ 0
a≠ 0,b ≠ 0
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Question # 12
A vector of magnitude zero is called
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Position vector
Null vector
Free vector
None of these
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Question # 13
If three unequal numbers p, q, r are in H.P. and their squares are in A.P., then the ration p : q : r is
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Question # 14
Which of the following sets in infinite
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The set of students of your class
The set of all schools in Pakistan
The set of natural numbers between 3 and 10
The set of rational numbers between 3 and 10
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Question # 15
Which conjunction is not true ?
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Question # 16
The contra positive of p → q is
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q → p
~q→~q
~p→~q
None of these
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Question # 17
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Associative property of addition
Associative property of multiplication
Commutative property of addition
Commutative property of multiplication
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Question # 18
The magnitude of a vector can never be
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Zero
Negative
Positive
None of these
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Question # 19
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8
9
10
11
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Question # 20
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x = f(y)
y = f(x)
x = f(x)
y = f(y)
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Question # 21
If A = {2m/m
3
= 8 , m€ Z} then A =
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{1,8,27}
{4}
(2,4,6}
{2,16,54}
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Question # 22
If (x
1
, y
1
) and (x
2
,
y
2
) are the end points of a diameter then the centre of the circle is
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Question # 23
If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a
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parabola
circle
hyperbola
ellipse
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Question # 24
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Question # 25
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Question # 26
The straight lines represented by the equation ax2+ 2hxy +by2 =0 intersects at
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(1,1)
(0,1)
(1,0)
(0,0)
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Question # 27
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(x, y)
(kx, y)
(x, ky)
(kx, ky)
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Question # 28
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all
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Question # 29
If five triangles are constructed having sides of the lengths indicated below, the triangle that will NOT be a right triangle is
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8, 15, 17
3, 4, 5
12, 15, 18
5, 12, 13
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Question # 30
A person standing on the bank of a river finds that the angle of elevation of the top of a tower on the opposite bank is 45°. then which of the following statements is correct?
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Breadth of the river is twice the height of the tower
Breadth of the river an the height of the tower are the same
Breadth of the river is half of the height of the tower
None of these
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Question # 31
When rational fraction is separated into partial fractions, the result is
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an identity
A fraction
A partial sum
Improper fraction
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