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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
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Question # 4
The equation of the circle witch centre (-3, 5) and radius 7 is
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(x-3)
2
+ (y+5)
2
= 7
2
(x-3)
2
+ (y-5)
2
= 7
2
(x+3)
2
+ (y+5)
2
= 7
2
(x+3)
2
+ (y-5)
2
= 7
2
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Question # 5
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Question # 6
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none of these
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Question # 7
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none of these
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Question # 8
If the lower limit of an integral is a constant and the upper limit is a variable, then the integral is a
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Constant function
Variable value
Function of upper limit
All
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Question # 9
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none of these
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Question # 10
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A onto B
both a & c
A into B
none of these
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Question # 11
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Always negative
Zero
Always positive
Infinity
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Question # 12
(n + 2) (n + 1) n= ______
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Question # 13
The nth term of an A.P., is 12-4n. Its common difference is
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8
4
4
16
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Question # 14
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A
2
- 5A + 7I = 1
2A
2
- 3A + 7I = 0
A
2
- 5A + I = 0
A
2
- 5A + 7I = 0
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Question # 15
If A = [a
ij
] is (m x n) matrix, then transpose of A is of the order
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m x m
m x n
n x n
n x m
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Question # 16
Point (2,0) lies on trigonometric function f(x)=______;
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sinx
cosx
tanx
secx
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Question # 17
The total number of subsets that can be formed out of the set {a, b, c} is
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1
4
8
12
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Question # 18
The sum of the squares of three distinct real numbers, which are in G.P., is S
2
. if their sum is
α
S then
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Question # 19
The exact degree value of the function sin-1( -√3/2) is
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70
ο
50
ο
90
ο
60
ο
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Question # 20
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Linear equation
Quadratic equation
Cubic equation
None of these
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Question # 21
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Question # 22
The equation of the circle with centre (-h, -k) and radius r is
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(x +h)
2
+ (y+k)
2
= r
2
(x +h)
2
+ (y-k)
2
= r
2
(x -h)
2
+ (y+k)
2
= r
2
(x -h)
2
+ (y-k)
2
= r
2
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Question # 23
The standard form of the quadratic function f(x) = -x
2
+4x+2, is
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(x-2)
2
+6
-(x-2)
2
+ 6
(x-3)
2
+5
(x+4)
2
-7
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Question # 24
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 # 25
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Question # 26
The area of sector with central angle of 1 radian in a circular region whose radius is 2m is
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0.5m2
2m2
1m2
4m2
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Question # 27
The statement that a group can have more than one identity elements is
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True
False
Fallacious
Some times true
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Question # 28
A diagonal matrix in which the diagonal elements are equal is called a
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Null matrix
Identity matrix
Scalar matrix
Row matrix
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Question # 29
The value of the expression sin
θ
+ cos
θ
lies between
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Question # 30
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Question # 31
Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =
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4
3
2
1
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