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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
sin(3π/2 -θ)=_______;
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sinθ
cosθ
-sinθ
-cosθ
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Question # 3
The number of real tangents that can be drawn to the ellipse 3x
2
+ 5y
2
= 32 passing thro. (3, 5) is
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0
1
2
Infinite
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Question # 4
The value of cos(cos-1 1/2) is
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1/2
√3/2
-1/2
1/√2
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Question # 5
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3 x 2
2 x 3
3 x 3
2 x 2
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Question # 6
The multiplicative inverse of -1 in the set {1-,1} is
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1
-1
±1
0
Does not exist
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Question # 7
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Question # 8
For an arithmetic series to be convergent it is necessary that the series has
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Finite terms
d<0
Infinite terms
None of these
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Question # 9
The two different parts of the hyperbola are called its
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Vertices
Directrices
Nappes
Branches
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Question # 10
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Multiplication property
Additive property
Trichotomy property
Transitive property of inequality
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Question # 11
All letters of the word "AGAIN" are permuted in all possible ways and the words so formed (with or without meaning) are written as in dictionary, then the 50th word is
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NAAGI
NAAIG
IAANG
INAGA
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Question # 12
The proposition S(n) for any n∈ N is only true if k∈ N and
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S(k +1) is true
S(1) is true and S(k+1) is true whenever S (k) is true
S(k+1) is true whenever S (k) is true
S(k) is true
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Question # 13
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Question # 14
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Question # 15
If you are looking someone on the ground from the top of a hill the angle formed is called angle of _______;
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Elevation
Depression
Right angle
None off these
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Question # 16
If f(x) = (-x)
2
then f(-2) is
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0
2
-4
4
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Question # 17
The area between the x-axis and the curve y = x
2
+ 1 from x = 1 to 2 is:
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15/6
15/4
10/4
10/3
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Question # 18
The equation of the circle with centre origin and radius r is
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x
2
+ y
2
= 1
x
2
+ y
2
= r
2
x
2
+ y
2
= 0
x
2
- y
2
= r
2
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Question # 19
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none of these
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Question # 20
There is no element common in
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N and W
E and W
N and O
Q and Q'
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Question # 21
Riaz, Saba. Maria, Shehzad are to give speeches in a class. The teacher can arrange the order of their presentation in
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4 ways
12 ways
256 ways
24 ways
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Question # 22
In the expansion of (x+y)n the coefficient of 5th and 12th terms are equal then n=
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12
n=14
17
n=15
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Question # 23
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1
-1
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Question # 24
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Question # 25
Number of selections of n different things out of n
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1
nPr
n!
nPr
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Question # 26
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Question # 27
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π / 3
π / 4
π / 6
0
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Question # 28
The set of integers is a subset of
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The set of natural numbers
The set of whole numbers
The set of prime numbers
The set of rational numbers
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Question # 29
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Question # 30
For an A.P common difference d
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Can be zero
May or may not zero
Cannot be zero
None of these
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Question # 31
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