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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
3x + 4 = 0 is
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not inequality
equation
identity
inequality
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Question # 3
Which of the following is the subset of all sets
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Φ
{1,2,3}
{Φ}
{0}
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Question # 4
The value of sin
-1
5/13 is equal to
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Cos 5/13
Tan
-1
5/12
cos
-1
5/12
2 cos
-1
4/5
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Question # 5
If the roots of ax
2
- bx - c = 0 change by the same quantity, then the expression in a, b, c that does not change is
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Question # 6
The 8th term of (1+2x)
-1/2
is
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-221/16 x
7
-225/18 x
7
-407/9 x
3
-429/16 x
7
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Question # 7
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x
3
3x
2
3x
3
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Question # 8
The no of term is the expansion of (a+x)n-1 is
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n+1
n-1
n
n-2
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Question # 9
A die is rolled. What is the probability that the dots on the top are greater than 4?
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1/4
1/2
1/3
1/33
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Question # 10
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Question # 11
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The law of of sines
The law of tangents
The law of consines
None of these
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Question # 12
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Proper fraction
Improper fraction
Rational fraction
None of these
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Question # 13
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Question # 14
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Principle of equality of fractions
Rule for product of fractions
Golden rule for fractions
Rule for quotient of fractions
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Question # 15
a >b, b >c ⇒a >c is a
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Multiplicative property
Additive property
Trichotomy property
Transitive property of inequality
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Question # 16
If f(x) = ax
2
, and a>0, then the lowest point on the parabola is called.
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Vertex of parabola
Co-ordinates of parabola
Roots of the equation
Coefficient of the equation
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Question # 17
(x-1) is a factor of
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2x
3
-3x
2
+9
2x
3
-5x-8
48x
2-
46x-9
x
9
-1
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Question # 18
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Question # 19
There is no integer n for which 3
n
is
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Odd
even
Natural
Prime
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Question # 20
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Question # 21
The period of 2 cos x is
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30π
7π
5π
2π
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Question # 22
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Question # 23
The distance of the point (a,b) from y-axis is
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a
b
a + b
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Question # 24
The set (Q, .)
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Forms a group
Does not form a group
Contains no additive identity
Contains no additive inverse
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Question # 25
tan (
π
-
θ
) = ______
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- sin
θ
- tan
θ
- cos
θ
- cot
θ
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Question # 26
(fog)′(x) =f′(g(x))g′(x) is derivative by
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Chain rule
Reciprocal rule
Power rule
Product rule
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Question # 27
For each natural number n, n (n+1) is
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an even
an odd
multiple of 3
Irrational
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Question # 28
Six boys and 3 girls are to be seated at random, in a row, for a photograph. The probability that no two girls will sit together is
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1/12
1/6
5/12
7/12
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Question # 29
If the st. line 3x + 4y = K touches the circle x
2
+ y
2
- 10x = 0 then the value of K is
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-1 or 20
-10 or 40
-2 or 20
2 or 20
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Question # 30
A number H is said to be the H.M. between a and b if a, H, b are in
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A.P.
G. P.
H. P.
None of these
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Question # 31
If x-2 and x-1 both are factors of x
3
-3x
3
+2x-4p, then P must equal to
Choose an answer
1
2
0
-2
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