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ECAT Mathematics Online Test MCQs With Answers
Question # 1
1
0
= ______
Choose an answer
1.5 rad
0.5 rad
0.175 rad
None of these
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Question # 2
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-2x cos x
2
-2x
2
sin x
2
-x
2
sin x
-2x
2
sin x
2
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Question # 3
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Question # 4
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none of these
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Question # 5
If y=f(x) is a function then x is called
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dependent variable
independent variable
constant
none of these
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Question # 6
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A = x, B = 1
A = 0, B = 2
A = -1, B = 1
A = x-1, B = x+1
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Question # 7
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Question # 8
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45°
30°
75°
60°
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Question # 9
i
2
=
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1
2
-1
0
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Question # 10
Domain of 1+cot2θ=csc2θ is
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[0,π]
R-{x/x=nπ,n∈ z}
(-∞,+∞)
[-1,1]
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Question # 11
The interval in which f(x)=x3-6x2+9x is increasing
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1<x<3
x<1 and x>3
X ≥1 and x ≤ 3
-∞ < x < ∞
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Question # 12
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Question # 13
The equation |x +4| = x has solution
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x = -2
x = 2
x = -4
x = 4
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Question # 14
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 # 15
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none of these
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Question # 16
The solution set of the equation 4 cos
2
x - 3 + 0 is
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none of these
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Question # 17
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Question # 18
Derivative of sin x w.r.t. sin x is
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0
1
sin x
cos x
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Question # 19
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0
1
-1
2
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Question # 20
The A.M. of two numbers is 34 and G.M. is 16, the numbers are
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2 and 64
64 and 3
64 and 4
None of these
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Question # 21
For an arithmetic series to be convergent it is necessary that the series has
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Finite terms
d<0
Infinite terms
None of these
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Question # 22
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Question # 23
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 # 24
Find the next two terms of 7, 9, 12, 16,...
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18, 20
19, 22
20, 25
21, 27
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Question # 25
x = ________ is in the solution of 2x - 5 > 0
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0
2
-2
3
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Question # 26
The area of the circle centred at (1,2) and passing through (4,6) is
Choose an answer
30 πsq.units
5π sq.units
15π sq.units
25π sq.units
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Question # 27
For each even natural number n (n
2
-1) is divisible by
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6
3
4
8
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Question # 28
(a+bi) - (c+di)=
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(a+b) = (c+d)
(a+c) + i(b+d)
(a - c) + (c- d)i
(a - c)+ (b - d)i
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Question # 29
The product of cube roots of unity is
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Zero
1
-1
None of these
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Question # 30
A bag contains 3 white, 4 black and 2 red balls. If 2 balls are drawn at random, then the probability that both the ball are white is
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1/18
1/12
1/36
None of these
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Question # 31
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1
-1
5
2
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