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ECAT Mathematics Online Test MCQs With Answers
Question # 1
i
-(4n+2)
= -------------------------------
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1
i
-1
-i
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Question # 2
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Question # 3
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Question # 4
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a sec(ax + b) + c
- a sec(ax + b) + c
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Question # 5
The eccentricity of the conic 9x
2
- 16y
2
= 144 is
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4/5
5/4
4/3
3/4
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Question # 6
In R the number of identity element w.r.t '+' is
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One
Two
Three
Four
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Question # 7
Matrices are represented by
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Natural numbers
Real numbers
Small letters
Capital letters
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Question # 8
f(x) = 1 is
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identity function
constant function
linear function
quadratic function
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Question # 9
If you are looking a high point from the ground, then the angle formed is
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Angle of elevation
Angle of depression
Right angle
Horizon
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Question # 10
If a, b, c are the measures of the sides of a triangle then
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Question # 11
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Question # 12
If a (p + q)
2
+ bpq +c = 0 and a (p + r)
2
+ 2 bpr + c = 0, then qr equals
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p
2
+ c/a
p
2
+ a/c
p
2
+ c/a
p
2
- c/a
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Question # 13
There are two middle terms in the expansion of (a+x)n if n is
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Even +ve integer
+ve integer
Odd +ve integer
All
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Question # 14
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Question # 15
An indicated sum of terms of a sequence is represented by
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Sn
an
S(n)
{Sn}
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Question # 16
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Question # 17
If x
2
+ px + 1 is a factor of ax
3
+ bx +c, then
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a
2
+ c
2
= -ab
a
2
- c
2
= -ab
a
2
- c
2
= ab
None of these
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Question # 18
If a
1
= 3, r = 2, then the nth term of the G.P. is
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2.3
n-1
3.2
n
3.2
n+1
3.2
n-1
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Question # 19
Additive inverse of -a -b is
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a
-a + b
a - b
a + b
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Question # 20
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Question # 21
If all members of a sequence are real numbers then it is called
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A.P
Real Sequence
G.P
None of these
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Question # 22
______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)
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Leibniz
Newton
Euler
None of these
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Question # 23
How many term are there in the A.P, in which a
1
= 11 , a
n
=68, d=3
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30
27
20
21
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Question # 24
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(x
3
- 3x
2
)
8
+ c
3x
2
- 6x + c
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Question # 25
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cosec x + c
-cosec x + c
-sec x + c
sec x + c
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Question # 26
If E = { } , then P(E)
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∅
{ }
{(2),(4),(6)....}
(∅)
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Question # 27
QUQ'
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Question # 28
∀x,y∈R and x> 0 , y>0, if x > y
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None of these
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Question # 29
Multiplicative inverse of "1" is
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+- 1
0
1
None of these
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Question # 30
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Evert element of A is in B
Every element of B is in A
Every element of A is in B'
Every element of A is in A
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Question # 31
How many arrangements of the letters of the word ADDING can be made
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