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ECAT Mathematics Online Test MCQs With Answers
Question # 1
Choose an answer
(x
3
- 3x
2
)
8
+ c
3x
2
- 6x + c
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Question # 2
The circle (x - 2)
2
+ (y + 3)
2
= 4 is not concentric with the circle
Choose an answer
(x - 2)
2
+ (y + 3)
2
= 9
(x + 2)
2
+ (y - 3)
2
= 4
(x + 2)
2
+ (y - 3)
2
= 8
(x - 2)
2
+ (y + 3)
2
= 5
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Question # 3
To each element of a group there corresponds ______ inverse element
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Two
One
No
Three
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Question # 4
Period of 3 sin x is ______
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Question # 5
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Multiplication property
Additive property
Trichotomy property
Transitive property of inequality
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Question # 6
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0
1
1/2
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Question # 7
The middle term in the expansion of (a +x)
12
is
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7th
8th
9th
6th
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Question # 8
The third term of a G.P. is the square of first term. If the second term is 8, then the 6th term is
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120
124
128
132
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Question # 9
The set {x +iy / x, y ∈ Q} forms a group under the binary operation of
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Addition
Multiplication
Division
Both addition and multiplication
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Question # 10
The decimal fraction in which we have finite number of digits in its decimal part is called.
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recurring decimal fraction
Non terminating faction
Non recurring fraction
terminating decimal fraction
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Question # 11
π is the ration of
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Area of a circle to its diameter
Area of a circle to its radius
Circumference of a circle to its diameter
Circumference of circle to its radius
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Question # 12
The set of rational numbers is subset of
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The set of natural numbers
The set of real numbers
The set of integers
The set of whole numbers
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Question # 13
Cos 60° = ______
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1
2
1/2
3
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Question # 14
Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b
∈
G. then inverse of a is
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-a
a + 1
-2 -a
None of these
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Question # 15
With usual notations b2 = a2 + c2 -2ac cos is called______;
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None of these
Law of sines
Law of consines
Law of tangents
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Question # 16
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Commutative property of addition
Closure property of addition
Additive inverse
Associative property w.r.t. to addition
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Question # 17
The value of sin [ arc cos (-1/2)] is
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Question # 18
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Question # 19
If the function y=2x -3, what is the preimage of 11?
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11
7
5
2
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Question # 20
If a set S contains "n" elements then P (S) has ...... number of elements
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2
n
2
2n
2 . n
n
2
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Question # 21
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0
1
2
4
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Question # 22
Fifteen girls compete in a race. The first three places can be taken by them in
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3! ways
12! ways
15 x 14 x 13 ways
42 ways
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Question # 23
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Question # 24
The point of concurrency of the medians of a triangle is called
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incentre
circumcentre
e-centre
centroid
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Question # 25
Cos 0° = ______
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-1
0
1
Undefined
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Question # 26
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Question # 27
The range of the function f : x→ y is defined by
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{x| y = f (x) ∀x∈ X ∧y∈y}
{(x,y) |y = f (x)∀x∈ X}
{y|y = f (x) ∀x∈ X ∧y∈y}
Y
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Question # 28
tan h x = _________
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Question # 29
G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are
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2, 2, 2
3, 3, 3
2, 2, 4
2, 3, 4
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Question # 30
If a statement S(n) is true for n = 1 and the truth of S(n) for n = k implies the truth of S(n) for = k + 1, then S(n) is true for all
Choose an answer
Real numbers n
Integers n
Positive integers n
None of these
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Question # 31
General solution of 1 + cos x = 0 is
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