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Online Tests
Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The fifth term of the sequence a
n
= 2n + 3 is ______
Choose an answer
13
-13
8
3
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Question # 2
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Question # 3
f(x) = x is
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trigonometric function
exponential function
quadratic function
identify function
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Question # 4
The set {1, -1, i, -i}
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Form a group w.r.t addition
Form a group w.r.t multiplication
Does not form a group w.r.t multiplication
Not closed under multiplication
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Question # 5
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Question # 6
In R the left cancellation property w.r.t addition is
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Question # 7
The set {{a,b}} is
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Infinite set
Singleton set
Two points set
None
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Question # 8
If (1+x-2x
3
)
6
= 1+a
1
x + a
2
x
2
+ a
3
x
3
+ ..... the the value of a
2
+ a
4
+ a
6
+ .....+a
12
will be
Choose an answer
32
31
64
1024
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Question # 9
The set of real numbers is a subset of
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The set of natural numbers
The set of rational numbers
The set of integers
The set of complex numbers
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Question # 10
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The law of sines
The law of consines
The law of tangents
None of these
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Question # 11
The formula an = arn-1represents
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nth term of G.P
Sum of the first n terms
G.M between a and b
None of these
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Question # 12
The angle of depression of the point at a distance 70 meters from the foot of the tower from the top of the tower is 45
𝜊
.The height of the tower is
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37m
97m
101m
70m
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Question # 13
If A = {2m/m
3
= 8 , m€ Z} then A =
Choose an answer
{1,8,27}
{4}
(2,4,6}
{2,16,54}
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Question # 14
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Question # 15
Identity w.r.t intersection in a power set of any set is
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∅
Set itself
Singleton set
{0}
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Question # 16
Domain of sec x is ______
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Question # 17
The equation of the circle with centre (5, -2) and radius 4 is
Choose an answer
(x-5)
2
+ (y+2)
2
= 16
(x-5)
2
+ (y+2)
2
= 4
(x-5)
2
+ (y-2)
2
= 16
(x-5)
2
+ (y-2)
2
= 4
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Question # 18
If x is an image of y under the function f. This can be written as
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y = f(x)
f(x) = 0
x = f(y)
f(y) =0
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Question # 19
The equation of the plane which bisects the line joining (2, 3, 4) and (6, 7, 8) is
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x + y + z - 15 = 0
x - y + z - 15 = 0
x - y - z - 15 = 0
x + y + z + 15 = 0
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Question # 20
The towers each 120 meters high are 800 meters apart. The measure of the angle of elevation from the base of one tower to the top of the other is
Choose an answer
12
𝜊
9
𝜊
7
𝜊
-120
𝜊
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Question # 21
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Question # 22
The sum of the cubes of three consecutive natural number is divisible by
Choose an answer
9
6
5
10
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Question # 23
The set of all positive even integers is
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Not a group
A group w.r.t. subtraction
A group w.r.t. division
A group w.r.t. multiplication
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Question # 24
The number of divisors of 1029, 1547 and 122 are in
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A.P.
G.P.
H.P.
None of these
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Question # 25
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none of these
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Question # 26
A matrix in which the number of rows is equal to the number of columns is called a
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Diagonal matrix
Rectangular matrix
Square matrix
Scalar matrix
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Question # 27
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A
A'
U
U'
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Question # 28
If ΔABC is right triangle then the law of Cosines reduces to
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The Pythagoras Theorem
The law of Sines
The law of cosines
The law of tangents
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Question # 29
The maximum value of the quadratic function f(x) = 2x2-4x+7,is
Choose an answer
3
5
-3
-5
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Question # 30
Choose an answer
A
B
U
None of these
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Question # 31
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