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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
If x < y, 2x = A, and 2y = B, then
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A = B
A < B
A < x
B < y
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Question # 3
When rational fraction is separated into partial fractions, the result is
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an identity
A fraction
A partial sum
Improper fraction
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Question # 4
Area bounded between the curve xy=2 and the lines x=1 and x=2
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ln2 square units
ln√2 square units
ln4 square units
Square units
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Question # 5
If n is any positive integer then 4
n
>3
n
+ 4 is true for all
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Question # 6
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x
y
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Question # 7
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 # 8
Cos-1(x)=
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cos x
x
tan-1(-x)
Sec-1 (1/x)
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Question # 9
If x
3
- x
2
+ 5x
+ 4 is divided by x - 2, then the reminder is
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0
2
18
14
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Question # 10
1,1/3,1/5,1/7,1/9..... is a
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geometric sequence
finite sequence
infinite sequence
arithmetic series
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Question # 11
Which of the following is the definition of singleton
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The objects in a set
A set having no element
A set having no subset
None of these
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Question # 12
The series obtained by adding the terms of an arithmetic sequence is called the
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Infinite series
Harmonic series
Geometric series
Arithmetic series
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Question # 13
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none of these
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Question # 14
∀x,y∈R and x> 0 , y>0, if x > y
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None of these
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Question # 15
A vector of magnitude zero is called
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Position vector
Null vector
Free vector
None of these
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Question # 16
How many terms of the A.P 3,6,9,12,15...........must be taken to make the sum 108
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8
6
7
36
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Question # 17
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4
6
8
10
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Question # 18
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-1
0
1
None of these
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Question # 19
If f(√x)=sin x , then f′(x) =______;
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2xcosx2
cosx2
cos√x
None of these
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Question # 20
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The law of sines
The law of consines
The law of tangents
None of these
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Question # 21
The root of the quadratic equation are
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3
2
1
4
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Question # 22
ab > 0 and a > 0 then
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a > b
a < b
a = b
None
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Question # 23
Maximum value of z =15x +20y subject to 3x+ 4y≤ 12,x,y≥ 0 is given by
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46
60
50
70
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Question # 24
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Question # 25
n!/(n-1)!=
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n
n!
(n-1)!
0!
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Question # 26
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Question # 27
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0
1
2
4
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Question # 28
The solution set of sin x + cos x = 0 is
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Question # 29
Number of combination of zero or more things out of n different things
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nPn
nPr
nCr
2n
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Question # 30
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a f(x) + c
f(x) + a
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Question # 31
If a, b, c are in A.P., then 3
a
, 3
b
, 3
c
are in
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A.P.
G.P.
H.P.
None of these
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