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ECAT Mathematics Online Test MCQs With Answers
Question # 1
{x : xε Z and x < 1} is
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Singleton set
A set with two points
Empty set
None of these
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Question # 2
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R
2R
r
2r
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Question # 3
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Question # 4
If ΔABC is right triangle then the law of Cosines reduces to
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The Pythagoras Theorem
The law of Sines
The law of cosines
The law of tangents
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Question # 5
If y=f(x) is a function then x is called
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dependent variable
independent variable
constant
none of these
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Question # 6
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Question # 7
The solution of the equation cos
2
θ
+ sin
θ
+ 1 = 0 lies in the interval
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Question # 8
The point _________ is in the solution of the inequality 2x + 3y < 5
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(1,1)
(2,2)
(0,1)
(0,2)
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Question # 9
Derivative of sin x w.r.t. sin x is
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0
1
sin x
cos x
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Question # 10
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all
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Question # 11
Which one is quadrantal angle
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8181710°
2345°
-8181180°
-2344°
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Question # 12
The smallest positive root of the equation tan x - x = 0 lies on
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Question # 13
Which conjunction is not true ?
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Question # 14
When we expand (a + 2b)
5
then
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a
5
+ 10a
4
b + 40a
3
b
2
+ 80a
2
b
3
+ 80ab
4
+ 32b
5
a
5
+ a
4
b + a
3
b
2
+ a
2
b
3
+ ab
4
+ b
5
5a
5
+ 4a
4
b + 3a
3
b
2
+ 2a
2
b
3
+ 1 ab
4
+ b
5
None
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Question # 15
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2
4
8
12
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Question # 16
Choose an answer
16
None of these
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Question # 17
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1
-1
0
None of these
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Question # 18
If a polynomial P(x) is divided by x - a, then the remainder is
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P(o)
P(-a)
P(a)
None of these
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Question # 19
sec (-360°) = ______
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0
1
2
3
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Question # 20
w
29
= ______
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0
1
w
w
2
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Question # 21
If the roots of ax
2
+ bx + c = 0 (a > 0) be greater than unity, then
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a + b + c = 0
a + b + c > 0
a + b + c < 0
None of these
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Question # 22
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 # 23
Multiplicative inverse of "1" is
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0
±1
1
{0,1}
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Question # 24
Inequalities have ______ symbol
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2
3
4
1
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Question # 25
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Question # 26
If the angle between two vectors with magnitude 2 and 15 is 30
°
then their scalar product is
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15
30
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Question # 27
If p, q, r and in A.P., a is G.M. between p and q and b is G.M. between q and r, then a
2
, q
2
, b
2
are in
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A.P.
G.P.
H.P.
None of these
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Question # 28
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Question # 29
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Question # 30
If n is any positive integer then 4
n
>3
n
+ 4 is true for all
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Question # 31
sin
α=
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2 sin
α
cos
α
2 sin
α
cos
β
2 sin
α
/2 cos
α
/2
1+ tan
2
α
/2
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