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ECAT Mathematics Online Test MCQs With Answers
Question # 1
For every positive integers n 1+5+9+....+ (4n - 3) is
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n(2n - 1)
(2n - 1)
n - 1
n
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Question # 2
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Question # 3
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Does not exist because f is unbounded
Is not attained even though f is bounded
Is equal to 1
Is equal to -1
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Question # 4
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Question # 5
In the expansion of (x+y)n the coefficient of 5th and 12th terms are equal then n=
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12
n=14
17
n=15
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Question # 6
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2
-3/2
1
0
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Question # 7
Sum of n terms of a geometric series if | r | < 1 is
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Question # 8
A chord passing through the centre of the circle is called
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the secant of the circle
the tangent of the circle
the arc of the circle
the diameter of the circle
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Question # 9
nCn-r is equal to
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n!
n-1Cr
nCr
None of these
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Question # 10
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Question # 11
the latus rectum of the parabola x
3
= -4ay is:
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x = a
y = -a
x = -a
y = 0
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Question # 12
The multiplicative inverse of x such that x = 0 is
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-x
does not exist
1/x
0
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Question # 13
What is the period of 6 sin x=?
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π
-π
π/2
2π
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Question # 14
If the 4th term in the expansion of (px + x
-1
)
m
is 2.5 for all x
∈ R, then
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Question # 15
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 # 16
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Question # 17
The sum of first 60 natural numbers is
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1830
3660
1640
1770
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Question # 18
If a,βare the roots of the equation x2 - 8x + p = 0 and a2 + β2= 40,then value of p is
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8
12
10
14
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Question # 19
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0
1
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Question # 20
How many types of an equation
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1
3
2
None
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Question # 21
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Question # 22
If the roots of 3x2+kx + 12 = 0 are equal then k = ______
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Question # 23
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0
-4
none of these
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Question # 24
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Question # 25
The multiplicative inverse of 1 is
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1
-1
0
Does not exist
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Question # 26
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1
1/2
0
None
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Question # 27
The many subset can be formed from the set {a,b,c,d}
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8
4
12
16
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Question # 28
The additive inverse of 0 is
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1
-1
0
Does not exist
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Question # 29
Every irrational number is
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A real number
A prime number
A natural number
An integer
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Question # 30
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Question # 31
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