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Online Tests
Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The sum even binomial coefficient of (3+2x)5 is ______term
Choose an answer
16
30
8
32
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Question # 2
The solution of differential equation:
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dy/dx+y/x = x
2
is :
4xy = x
4
+ c
4x = x
4
= c
4 y = x
4
+ c
4x=4x
3
+ c
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Question # 3
The sum of infinite numbers of terms of an arithmetic series is
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Finite
Infinite
May or may not finite
None of these
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Question # 4
The cube roots of 8 are
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Question # 5
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0
-2
1
4
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Question # 6
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Question # 7
The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x
2
+ 5x -5 for x> 0 is
Choose an answer
1
5
-5
-1
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Question # 8
Two sets A and B are said to be disjoint if
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Question # 9
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Question # 10
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 # 11
Additive inverse of -a -b is
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a
-a + b
a - b
a + b
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Question # 12
The discriminant of the quadratic equation ax
2
+ bx + c = 0 is
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b
2
+ 4ac
b
2
- 4ac
4ac - b
2
a
2
- 4ac
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Question # 13
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1
2
3
4
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Question # 14
Which element is the additive inverse of (a,b) in Complex numbers
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(a,0)
(0,b)
(a,b)
(-a,-b)
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Question # 15
The condition for ax2 + bx c to be expressed as the product of linear polynomials is
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b4 - 4ac =0
b4- 4ac ≥0
b4- 4ac <0
b4= 4ac
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Question # 16
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Question # 17
A sequence having no last term is called
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arithmetic sequence
Geometric sequence
Finite sequence
Infinite sequence
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Question # 18
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Question # 19
n(n - 1) (n - 2) .... (n - r + 1) = ______
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Question # 20
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Question # 21
Sin h
-1
x = _________
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Question # 22
The real number system contains.
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Positive Numbers
Negative numbers
Zero
(option a, b and c)
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Question # 23
If w is a cube root of unity then 1 + w + w
2
= ______
Choose an answer
1
2
0
-1
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Question # 24
sin (
α
+
β
) + sin (
α
-
β
)
Choose an answer
2 sin
α
cos
β
sin (2
α
β)
sin
α
cos
α
None of these
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Question # 25
An even function is symmetric about the line
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y = x
x = 0
y = -x
y = 0
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Question # 26
If (0, 0) and (0, -1) are end points of a diameter, then the equation of the circle is
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Question # 27
Choose an answer
n if n is even
0 for any natural number n
1 if in odd
None of these
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Question # 28
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ab=-1
ab = 1
ab = 2
None
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Question # 29
The coefficient of xn in the expansion of (1-x)-1 is
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(-1)n2n
1
(-1)n(n+1)
(n+1)
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Question # 30
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Question # 31
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