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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
If the graph of f is entirely below the x-axis, then the value of definite integral is
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= 0
< 0
> 0
None
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Question # 3
The function f(x) =|x| is a/an_______function
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Even
Odd
Both even as well as odd
Neither even nor odd
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Question # 4
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Question # 5
120° degrees are equal to how many radians?
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Question # 6
Both the roots of the equation (x -b) (x - c ) + (x -c) (x-a) +(x-a) (x-b) = 0 are always
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Positive
Negative
Real
None of these
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Question # 7
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 # 8
Write down the power set of {9, 11}
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Question # 9
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Question # 10
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 # 11
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0
1
2
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Question # 12
The roots of the equation will be irrational if b
2
- 4ac is
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Positive and perfect square
Positive but not a perfect square
Negative
Zero
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Question # 13
In R, the multiplicative inverse of a is
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0
1
-a
1/a
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Question # 14
(a,b) +(-a,-b) =
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(0,0)
(a,b)
(-a,-b)
(1,1)
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Question # 15
Sec
-1
x =
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Cos
-1
1/x
cosec
-1
1/x
Cos
-1
(-x)
Tan
-1
x
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Question # 16
For any two sets A and, A ⊆ B if
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x ∈ A ⇒ x ∈ B
x ∉ A ⇒ x ∉ B
x ∈ A ⇒ x ∉ B
None of these
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Question # 17
3/2 is
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An irrational number
Whole number
A positive integer
A rational number
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Question # 18
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2
7
8
12
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Question # 19
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Question # 20
If n(A) = n then n(P(A)) is
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2n
n
2
n/2
2
n
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Question # 21
The function whose range consists of just one element is called
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One-One Function
Identity Function
Onto Function
Constant Function
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Question # 22
The position vector of the point P(a, b, c) is
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Question # 23
cos h
2
x + sin h
2
x
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an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 24
tan
-1
(1/4) + tan
-1
(2/9) is equal to
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1/2 cos
-1
(3/5)
1/2 sin
-1
(3/5)
1/2 tan
-1
(3/5)
tan
-1
1/2
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Question # 25
Number of ways of writing the letters of WORD taken all at a time is
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24
4
12
6
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Question # 26
The angle of depression of a point A on the ground from the top of the tower is 30𝜊,then the angle of elevation of the top of the tower at the point A is
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60𝜊
40𝜊
41𝜊
30𝜊
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Question # 27
What is the period of tan 4/3 x =?
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π/4
4π/3
7π/4
3π/4
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Question # 28
The coefficient of the third term of (8a-b)
1/3
, after simplification is
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-228
1/288
1/220
-1/177
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Question # 29
The coefficient of x
18
in (ax
4
-bx)
9
after expansion is
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84a
3
b
6
22a
3
b
6
27a
4
b
5
28a
3
b
6
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Question # 30
Which of the following is a vector
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length
momentum
volume
speed
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Question # 31
w
11
= ______
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0
1
w
w
2
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