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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
E-radius corresponding to < B is
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Question # 2
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sec 3x + c
- cosec 3x + c
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Question # 3
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Question # 4
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0
1
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Question # 5
The coefficient of xn in the expansion of (1-2x)-1 is
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(-1)n2n
2n
(-1)(n+1)xr
(n+1)2n
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Question # 6
p(x) = 2x
4
- 3x
3
+ 2x - 1 is polynomial of degree
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1
2
3
4
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Question # 7
Geometrically the modulus of a complex number represents its distance from the
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Point (1,0)
Point (0,1)
Point (1,1)
Point (0,0)
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Question # 8
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 # 9
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5
15
10
20
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Question # 10
The behavior of trigonometric function is called
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Continuity
Discontinuity
Periodicity
Smoothness
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Question # 11
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Question # 12
The total cost of 2 apples and 3 oranges is $1.70, which of the following is true
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The cost of one apple
The cost of one orange
Both have equal cost per item
Cost of each single item can not be determined
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Question # 13
If w is a cube root of unity then 1 + w + w
2
= ______
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1
2
0
-1
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Question # 14
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a = 4, b = 1
a = 1, b = -4
a = 0, b = 4
a = 2, b = 4
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Question # 15
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Question # 16
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16
256
64
1024
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Question # 17
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Question # 18
The circle (x - 2)
2
+ (y + 3)
2
= 4 is not concentric with the circle
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(x - 2)
2
+ (y + 3)
2
= 9
(x + 2)
2
+ (y - 3)
2
= 4
(x + 2)
2
+ (y - 3)
2
= 8
(x - 2)
2
+ (y + 3)
2
= 5
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Question # 19
The Principal value of sin-1 (-1/1/2)
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π/2
-π/2
π
-π
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Question # 20
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Question # 21
Which one is a pair of allied angles
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(180° -
θ)
(180° -
θ,
180° +
θ)
(180° +
θ)
None of these
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Question # 22
Roots of the equation 2x
2
- 7x + 3 = 0 are
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Rational
Irrational
Complex
None of these
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Question # 23
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Question # 24
The equation |x +4| = x has solution
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x = -2
x = 2
x = -4
x = 4
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Question # 25
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Question # 26
The set of complex numbers forms a group under the binary operation of
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Addition
none of these
Division
Subtraction
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Question # 27
The product of the four fourth roots of unity is
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0
1
-1
None of these
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Question # 28
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Question # 29
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Question # 30
If the equation x2+2x-3=0 and x2+3x-k=0 have a common root then the non - zero value of k is
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1
3
2
4
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Question # 31
Two cards are drawn at random without replacement. the probability that the first is a king and second is not a king is
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48 / 663
24 / 663
12 / 663
None of these
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