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ECAT Mathematics Online Test MCQs With Answers
Question # 1
A dice is rolled. The probability that the dots on the top are greater than 4 is
Choose an answer
1/6
1/3
1/2
1
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Question # 2
Range of cos x is ______
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[-1, 1]
R
Negative real numbers
R - { x | - 1 < x < 1}
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Question # 3
(-28,12) divides the join of A(-6,3) and B(5,-2) in ratio
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1:2
3:2
2:3
2:1
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Question # 4
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none of these
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Question # 5
A stationary point x is a relative exterma of y= f(x) is
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f′′ (x) > 0
f′′ (x) < 0
f′′ (x) ≠ 0
f′′(x) = 0
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Question # 6
What is the conjugate of -7 -2i?
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-7 + 2i
7 + 2i
7 -2i
None of these
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Question # 7
pth term of an H.P. is qr and qth term is pr then the rth term of the H.P. is
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pqr
1
pq
pqr
2
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Question # 8
The set { {a, b} } is
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Infinite set
Singleton set
Two points set
Empty set
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Question # 9
The solution of differential equation:
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dy/dx+y/x = x
2
is :
4xy = x
4
+ c
4x = x
4
= c
4 y = x
4
+ c
4x=4x
3
+ c
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Question # 10
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Question # 11
If |a x b|2 + (a,b)2 = _____
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|a|2 + |b|2
|a|2- |b|2
|a|2|b|2
None
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Question # 12
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Question # 13
If f(x) = x
2
-x then f(1) is
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0
1
2
3
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Question # 14
The conjugate of √5
i
is
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√5
-√5 i
i
5i
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Question # 15
The last term of (1+2x)-2
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(-1)-2 (2x)-2
(-1)-4(-2x)-2
(-1)-3(2x)-3
Does not exist
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Question # 16
If Z = (1,2), then Z
-1
= ?
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(0.2, 0.4)
(-0.2, 0.4)
(0.2, -0.4)
(-0.2, -0.4)
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Question # 17
The range of function f(x)=-x2+2x-1 is
Choose an answer
R
(-∞,0]
(-∞,1]
[0,∞)
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Question # 18
The angle of depression of a point situated at a distance of 70 meters from the base of a tower is 45°. The height of the tower is
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70 m
85 m
35 m
None of these
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Question # 19
Sum of two quantities is at least 20 is denoted by
Choose an answer
x +y =20
x +y≥ 20
x +y≠ 20
x +y≤20
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Question # 20
If A is a non singular matrix then A
-1
= ______
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Question # 21
Find the sum of the infinite geometric series 2 + 1 + 0.5 + ....
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3.5
3
4
None of these
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Question # 22
The condition for polynomial equation ax
2
+ bx + c = 0 to be quadratic is
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Question # 23
The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called
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Constant function
Polynomial function
Identity function
Linear function
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Question # 24
Period of cos 2x is ______
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Question # 25
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Question # 26
If x = 1/x for x ∈ R then the value of x is
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±1
0
2
4
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Question # 27
The positive value of k for which the equation x2 + kx + 64 = 0 has one of the roots 0
Choose an answer
4
64
8
All values of k
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Question # 28
No term of a geometric sequence can be
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0
1
2
3
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Question # 29
The identity elements with respect to subtraction is
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0
1
-1
Does not exist
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Question # 30
The solution of the equation 3 tan
2
x = 1 is ____________
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none of these
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Question # 31
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