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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
The solution set of x
2
- 5x + 6 = 0 is
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{1, 3}
{2, 3}
{1, 2}
None of these
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Question # 4
The period sin
2
θ
is
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π
2
π
2
π
π/2
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Question # 5
If f(x) = x
2
then f(2) is
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-2
2
4
-4
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Question # 6
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p < r
p > rr
p + r < 0
p - r < 0
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Question # 7
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Question # 8
Te order of the differential equation of all conics whose axes coincide with the axes of co-ordinates is
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2
3
4
1
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Question # 9
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4
3
2
1
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Question # 10
(x
3
-1/2x)
6
is
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15/16 x
2
2/13 x
2
17/7 x
2
16/15 x
2
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Question # 11
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Question # 12
For any positive integer n
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ABn = Bn A ⇔ AB = BA
ABn = Bn A⇔ A,B are square matrices and AB = BA
ABn = BnA⇔ A + B
ABn = BnA ⇔ A and B are square matries
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Question # 13
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Question # 14
Period of cot x is ______
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Question # 15
The centroid of a triangle divides each median in the ratio
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2 : 1
3 : 1
3 : 2
1 : 1
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Question # 16
0.25 is ______
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An irrational number
A natural number
A prime number
A rational number
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Question # 17
A fraction in which the degree of the numerator is less than the degree of the denominator is called
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Polynomial
Equation
Proper fraction
Improper fraction
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Question # 18
If y = eax sin bx and y2 - 2ay1 + (a2+b2) y=0 the for what values of a and b we have y2+10y1+34y =0
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a = -10,b=34
a=-5,b=3
a=5,b=3
a=10,b=34
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Question # 19
The position vector of any point in space is
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Question # 20
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Question # 21
What is the conjugate of -7 -2i?
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-7 + 2i
7 + 2i
7 -2i
None of these
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Question # 22
Every set is an improper subset of
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Empty set
Equivalent set
Itself
Singleton set
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Question # 23
For all positive integral value of n,3
n
< n! , when
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n> 6
n< 6
n<11
n>11
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Question # 24
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Question # 25
If S is a sample space and event set E = S then P(E) is
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>0
1
<1
0
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Question # 26
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Question # 27
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0
1
2
3
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Question # 28
Which one is not defined∀n∈Z+
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-n!
n!
(-n)!
n!+0!=n!+1
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Question # 29
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Question # 30
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1
5
7
9
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Question # 31
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