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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The sets {1, 2, 4} and {4, 6, 8, 10} are
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Equal sets
Equivalent sets
Disjoint sets
Over lapping sets
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Question # 2
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2
-3/2
1
0
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Question # 3
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-8
8
8i
32
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Question # 4
∀a,b, c ε R,a +c = b + c = > a = b
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Reflexive property
Symmetric property
Cancellations property w.r.t. addition
Transitive property
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Question # 5
If f (x)=a0 +a1x+a2x2+a3x3-----+0n-1xn-1+anxn then f(n) (x) is equal to
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n!
ann!
0
an
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Question # 6
The solution set of x < 4 is
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-
∞
< x < 4
-
∞
> x > 4
-
∞
< x < 2
-
∞
> x > 2
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Question # 7
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Question # 8
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Question # 9
Three numbers are chosen random without replacement from {1, 2, 3, ...., 10}. the probability that minimum of the chosen numbering is 3 or their maximum is 7
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7 / 40
5 / 40
11 / 40
None of these
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Question # 10
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a
2a
3a
4a
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Question # 11
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π
/ 4
π
/ 6
π
/ 3
2π
/ 3
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Question # 12
i
is equal
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(1 , 0)
(0 , 1)
(1 , 1)
(0 , 0)
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Question # 13
The matrix A is Hermitian when (A)' =
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A
-A
A
A'
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Question # 14
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A
A'
U
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Question # 15
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Question # 16
x = _________ is in the solution of 2x + 3 < 0
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0
2
-1
-2
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Question # 17
Given two numbers a and b. Let A denote the single A.M. between these and S denote the sum of n A.M.'s between them. Then S/A depends upon
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n, a, b
n, a
n, b
n
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Question # 18
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-3
-7
1
0
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Question # 19
Given two independent event A and B such that P(A) = 0.30 and P(B) = 0.60. Probability of getting neither A nor B is
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0.28
0.13
0.12
0.42
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Question # 20
The equation (cos p - 1)x
2
+ x (cos p) + sin p = 0 in the variable x, has real roots, then p can take any value in the interval
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(0, 2
π
)
(-
π
, -0)
(0,
π
)
None of these
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Question # 21
If z
1
= 1 + 2i, z
2
= 3 + 4i then
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z
1
> z
2
z
1
= z
2
z
1
< z
2
None of these
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Question # 22
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2
5
7
None of these
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Question # 23
x = ________ is in the solution of 2x - 3 < 0
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2
-2
3
4
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Question # 24
The synthetic division method is only used to divide a polynomial by
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quadratic equation
binomial
linear equation
monomial
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Question # 25
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Question # 26
A ________ divides the plane into left and right half planes.
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Vertical line
Horizontal line
Non vertical line
Inequality
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Question # 27
If a,b,c are three non-coplanar vector then [a +b,b +c,c +a] = _____
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[a.b.c]
2[a,b,c]
[abc]-2
2[abc]2
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Question # 28
Domain of cos x is ______
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Question # 29
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-a -b -c
1
0
-1
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Question # 30
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Principle of equality of Fractions
Rule for product of fraction
Golden rule of fraction
Rule of quotient of Fraction
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Question # 31
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