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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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all
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Question # 2
The value of x for which the polynomials x2 - 1 and x2 -2x + 1 vanish simultaneously is
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2
1
-1
-2
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Question # 3
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0
-2
1
4
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Question # 4
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Question # 5
If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is
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α
c
b
d
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Question # 6
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An empty set
Universal set
A singleton set
None of these
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Question # 7
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Question # 8
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Question # 9
If for the matrix A,A5 = 1,then A-1=
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A2
A3
A
None of above
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Question # 10
The distance of the point (-2 , -3) from y-axis is
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2
-2
3
-3
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Question # 11
cot(3π/2 -θ)=______;
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tanθ
cotθ
-tanθ
-cotθ
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Question # 12
If sin x + sin
2
x = 1, then the value of Cos
12
x + 3cos
10
x + 3cos
8
x + cos
6
x + 2 cos
4
x + cos
2
x-2 is equal to
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0
1
2
sin
2
x
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Question # 13
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Question # 14
The point R dividing internally the line joining the points P(x
1
, y
1
) and Q(x
2
, y
2
) in the ratio K
1
: K
2
has the coordinates
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Question # 15
If #n = (n-5)
2
+ 5, then find #3 x #4.
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54
12
4
9
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Question # 16
The probability that a person A will be alive 15 years hence is 5/7 and the probability that another person B will be alive 15 years hence is 7/9. Find the probability that both will be alive 15 years hence
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4/63
5/9
45/49
None of these
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Question # 17
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Question # 18
The transport of a null matrix is
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Row matrix
Column matrix
Square matrix
Null matrix
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Question # 19
Cos-1(x)=
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cos x
x
tan-1(-x)
Sec-1 (1/x)
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Question # 20
The curve f(x,y) = 0 has a central symmetry if
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f(-x,-y)=f(x,y)
f(x,-y)=f(x,y)
f(-x,y)=f(x,y)
f(-x,-y)≠f(x,y)
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Question # 21
P∉ A means
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P
is subset of A
P
is an element of A
P does not belongs to A
A does not element of
P
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Question # 22
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a tan(ax + b) + c
- a tan(ax + b) + c
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Question # 23
The ratio in which the line y- x+ 2 =0 divides the line joining (3,-1) and (8,9) is
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2:3
-2:3
3:2
-3:2
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Question # 24
The approximate increase in the area of a circular disc if its diameter increased form 44cm to 44.4cm is
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0.4cm
8.8πcm
17.6 πcm
35.2πcm
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Question # 25
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Question # 26
An expression involving any of the symbols <,>,
<
or
>
is called
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equation
inequality
linear equation
identity
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Question # 27
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none of these
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Question # 28
A bag contains 5 white, 7 red and 5 black balls. If four balls are drawn one by one with replacement, the probability that none is white is
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(11/16)
2
(5/16)
2
(11/16)
4
(5/16)
4
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Question # 29
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Question # 30
The point of concurrency of the medians of the ΔABC is called its
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Orthocenter
Centriod
Circumcentre
Incentre
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Question # 31
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