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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
E-radius corresponding to < A is
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Question # 3
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Always negative
Zero
Always positive
Infinity
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Question # 4
If x
3
- x
2
+ 5x
+ 4 is divided by x - 2, then the reminder is
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0
2
18
14
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Question # 5
The sum of the even coefficients in the expansion (1 + x)
n
is
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n
2
2
n-2
2
n-1
2
n
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Question # 6
A vertical pole is 8m high and the length of its shadow is 6m. The angle of elevation of the sun of the moment is
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57𝜊
-48𝜊
27𝜊
53𝜊
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Question # 7
graph of trigonometric function y = sec x does not meet
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x - axis
y -axis
both axis
None of these
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Question # 8
The standard form of the quadratic function f(x) = -x
2
+4x+2, is
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(x-2)
2
+6
-(x-2)
2
+ 6
(x-3)
2
+5
(x+4)
2
-7
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Question # 9
If the roots of ax
2
- bx - c = 0 change by the same quantity, then the expression in a, b, c that does not change is
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Question # 10
If A is a skew-symmetric matrix of order n and P, any square matrix of order n, prove that P' AP is
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Skew-symmetric
Symmetric
Null
Diagonal
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Question # 11
What is the conjugate of -6 -i
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-6 +i
6 + i
-6 -i
6 -i
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Question # 12
The symbol of irrational is
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W
N
Q
Q
'
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Question # 13
cot
θ
= sin 2
θ
if
θ
=
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Question # 14
G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are
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2,2,2
3,3,3
2,2,4
2,3,4
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Question # 15
Sin 90° = ______
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-1
0
1
Undefined
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Question # 16
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Right angled
Obtuse angled
Isosceles
Equilateral
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Question # 17
tan(cot
-1
x) is equal to
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cot(tan
-1
x)
tan x
secon x
None of these
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Question # 18
One root of the equation cos x - x + 1/2 = 0 lies in the interval
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Question # 19
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Principle of equality of fractions
Rule for product of fraction
Rule for quotient of fraction
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Question # 20
The period of tan [x/3] is ______
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2
π
4
π
3
π
5
π
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Question # 21
π is the ration of
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Area of a circle to its diameter
Area of a circle to its radius
Circumference of a circle to its diameter
Circumference of circle to its radius
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Question # 22
The factorial of a positive integers is a (an)
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Rational number
Positive integer
Real number
None
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Question # 23
The points (5, 0, 2), (2, -6, 0), (4, -9, 6) and (7, -3, 8) are vertices of a
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Square
Rhombus
Rectangle
Parallelogram
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Question # 24
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Question # 25
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 # 26
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none of these
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Question # 27
The two parts into which 57 should be divided so that their product is 782 are
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43,14
34,23
33,24
44,13
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Question # 28
If x < y, 2x = A, and 2y = B, then
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A = B
A < B
A < x
B < y
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Question # 29
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2
-3/2
1
0
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Question # 30
Which of the following is factor of x11+a11, where n is an odd integer
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x-a
x+a
2x-a
2x+a
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Question # 31
The principal value of sin
-1
[-√(√3) /2] is
Choose an answer
5π/3
-2π/3
-
π/3
π/3
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