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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
A square matrix all of whose elements except the main diagonal are zeros is called a
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Null matrix
Singular matrix
Symmetric matrix
Diagonal matrix
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Question # 2
Two sets A and B are said to be disjoint if
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Question # 3
20. 19. 18. 17= _______
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Question # 4
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none of these
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Question # 5
When we expand (a + 2b)
5
then
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a
5
+ 10a
4
b + 40a
3
b
2
+ 80a
2
b
3
+ 80ab
4
+ 32b
5
a
5
+ a
4
b + a
3
b
2
+ a
2
b
3
+ ab
4
+ b
5
5a
5
+ 4a
4
b + 3a
3
b
2
+ 2a
2
b
3
+ 1 ab
4
+ b
5
None
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Question # 6
If tan
-1
3 + tan
-1
x = tan
-1
8, then x=
Choose an answer
5
1/5
5/14
14/5
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Question # 7
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Question # 8
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Question # 9
The equation |x +4| = x has solution
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x = -2
x = 2
x = -4
x = 4
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Question # 10
If the roots of ax2 + 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 # 11
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Question # 12
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 # 13
sin (
α +
β)=
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sin
α
cos
β
- cos
α
sin
β
sin
α
cos
β
- cos
α
sin
β
sin
α
cos
α
- cos
β
sin
β
sin
α
cos
α
+ cos
β
sin
β
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Question # 14
Domain of cosec x is ______
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Question # 15
The number of triplets (x, y, z) satisfying sin
-1
x +cos
-1
y + sin
-1
z = 2
π
is
Choose an answer
0
2
1
Infinite
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Question # 16
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-x
Infinite set
{-4, 4}
None of these
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Question # 17
If cos
α
= 4/5, then cos
α
/2
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Question # 18
In the expansion of (a + x)
n
the general term T
r + 1
is
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Question # 19
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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 # 20
By expressing sin 125° in terms of trigonometrical ratios, answer will be
Choose an answer
sin 65° = 0.9128
sin 55° = 0.8192
sin 70° = 0.5384
sin 72° = 0.1982
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Question # 21
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Question # 22
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Question # 23
3x + 4 < 0 is
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inequality
equation
identity
not inequality
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Question # 24
if one root of the equation ix2 - 2(i + 1) x +(2 - i)= 0 is 2 - i then the other root is
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-i
2 + i
i
2 - i
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Question # 25
The number of different ways of describing a set is
Choose an answer
One
Two
Three
Four
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Question # 26
If sin
α
and cos
α
are the roots of the equation px
2
+ qx + r =0, then
Choose an answer
p
2
- q
2
+ 2pr = 0
(p + r)
2
= q
2
- r
2
p
2
+ q
2
- 2pr = 0
(p - r)
2
= q
2
+ r
2
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Question # 27
∀a,b ε R, ab = be is a
Choose an answer
Commutative law of multiplication
Closure law of multiplication
Associative law of multiplication
Multiplicative identity
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Question # 28
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Question # 29
Through how many radians does the hour hand of a clock turn in one hour
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Question # 30
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Question # 31
An indicated sum of terms of a sequence is represented by
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Sn
an
S(n)
{Sn}
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