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Online Tests
ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
n(n-1)(2n-1), for all natural numbers n, is divisible by
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12
6
2
18
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Question # 2
The harmonic mean between a and b is
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Question # 3
If x + y + 1 = 0 touches the parabola y
2
=
λ
x, then
λ
is equal to
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2
4
6
8
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Question # 4
The domain of the principle cos function is
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Question # 5
The point which is closet to the focus of a parabola is:
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vertex
Chord
Focus
Directix
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Question # 6
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Question # 7
If the 4th term in the expansion of (px + x
-1
)
m
is 2.5 for all x
∈ R, then
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Question # 8
The minimum value of the quadratic function f(x) = x2 +6x -2, is
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11
6
-11
13
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Question # 9
The set of the first elements of the ordered pairs forming a relation is called its
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Function on B
Range
Domain
A into B
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Question # 10
The direction cosines of a line equally inclined with co-ordinate axes are
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Question # 11
The magnitude of vector a=i-3j+5k is:
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3
√35
√17
√35
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Question # 12
An equation in which at least one term contains dy/dx, d
2
y /dx
2
etc, is called.
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Differential equation
Initial condition
General solution
Singular equation
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Question # 13
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- cot 4x + c
cot 4x + c
tan 4x + c
- tan 4x + c
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Question # 14
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10
C
6
10
C
5
10
C
4
None
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Question # 15
An integral of 1/x dx is:
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1/x
2
1/-x
2
1/lnx
lnx
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Question # 16
In one hour, the hour hand of a clock turns through
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Question # 17
If | x | < 1, then the first two terms of (1 - x)
1/2
are
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Question # 18
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Question # 19
f(x)g(x)- ∫g(x) f′(x) dx is equal to
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∫f(x)g′(x)dx
∫f′(x)g(x)dx
∫f′(x)g(x)′dx
∫f(x)g(x)dx
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Question # 20
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Question # 21
The 10th common term between the series 3+7+11+....... and 1 + 6 +11 + ....... is
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191
193
211
None of these
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Question # 22
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Improper rational fraction
Rational fraction
Proper rational fraction
None of above
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Question # 23
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Question # 24
The sets {1, 2, 4} and {4, 6, 8, 10} are
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Equal sets
Equivalent sets
Disjoint sets
Over lapping sets
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Question # 25
tan(π-θ)=_____;
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tanθ
cotθ
-tanθ
-cotθ
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Question # 26
The number of subsets of B = {1,2,3,4,5}
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10
32
16
5
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Question # 27
If f(x) = x
2
then f(0) is
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0
1
2
none of these
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Question # 28
Period of Sine and Cosine function is
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π
2
π
-
π
-2
π
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Question # 29
If nis positive integers, then 2
n
>2n+1, only when
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n≤ 3
n≥ 3
n≤ 2
n≤ 1
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Question # 30
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all
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Question # 31
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