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ECAT Mathematics Online Test MCQs With Answers
Question # 1
Number of ways of writing the letters of WORD taken all at a time is
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24
4
12
6
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Question # 2
Number of permutations of n distinct objects taken r(<n - 3) at a time which exclude 3(<n) particular objects is
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3! P(n, r - 3)
P(n, 3) P(n, r - 3)
P(r, r)P(n, r - 3)
P(n - 3, r)
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Question # 3
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K/6
2K
3K
6K
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Question # 4
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56
7
8
8/7
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Question # 5
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Question # 6
The common ration of a geometric sequence cannot be
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0
1
2
3
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Question # 7
tan (
π
-
θ
) = ______
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- sin
θ
- tan
θ
- cos
θ
- cot
θ
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Question # 8
Let A and B be two sets. If every element of A is also an element of B then
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Question # 9
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Question # 10
√23 is
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A rational number
A irrational number
An even integer
A factor of 36
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Question # 11
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Question # 12
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A rational number
An irrational number
An odd number
A prime number
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Question # 13
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Question # 14
The value of x and y when (x + iy)2 = 5 - 4i
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x = 2, y = -1
x = -2, y = 1
x = 2, y = -i
x = 2, y = 2
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Question # 15
x
3
+ 2x
2
- 3x + 5 is ______
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An equation
A polynomial
Proper rational fractions
Improper rational fractions
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Question # 16
2x + 3y > 4 is a linear inequality in
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one variable
two variables
three variables
none of these
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Question # 17
If one root of the equation x
2
- 3x + a = 0 is 2 then a = ______
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0
1
2
3
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Question # 18
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Question # 19
If the sum of co-efficient in the expansion of (a+b)
n
is 4096, then the greatest co-efficient in the expansion is
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1594
792
924
2924
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Question # 20
The property used in -3 <-2 ⇒0 <1
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Commutative property
Additive property of inequality
Additive inverse
Additive identity
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Question # 21
sin(3π/2 -θ)=_______;
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sinθ
cosθ
-sinθ
-cosθ
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Question # 22
If n is a positive integer then n! is
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(n - 1) (n - 2) .....3,.2.1
n(n - 1) (n - 2) ...3.2.1
n(n - 1 ) ( n -2) ... 3
None of these
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Question # 23
Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then
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A = B
B = C
A≠ C
A ≠ B
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Question # 24
The upper 3/4 the portion of a vertical pole subtends an angle tan
-1
3/5 at a point in the horizontal plane through its foot and at a distance 40 m from the foot. A possible height of the vertical pole is
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20 m
40 m
60 m
80 m
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Question # 25
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Question # 26
Which is in the solution set of 4x - 3y < 2
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(3, 0)
(4, 1)
(1, 3)
None
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Question # 27
How many arrangements of the letters of the word ADDING can be made
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Question # 28
If ab > 0 and a < 0, which of the following is negative?
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b
-b
-a
(a - b)
2
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Question # 29
The distance of the point (-2,3) from x-axis is
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-2
2
3
1
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Question # 30
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Question # 31
If a
x
= b
y
= c
z
and a, b, c are in G.P. then x, y, z are in
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A.P.
G.P.
H.P.
None of these
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