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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
If Sn is a definite number as n → ∞,then the geometric series is
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Convergent
Divergent
Oscillatroy
None of these
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Question # 2
If B⊆ A, then complement of B in A is = -----------------------
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A-B
A∩B
B-A
A∪B
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Question # 3
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36
360
24
6
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Question # 4
If b
1
, b
2
, b
3
, ... are in G.P. with first term unity and common ratio r, then the minimum value of b
1
- b
3
+ b
5
is equal to
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3/4
1/4
1
None of these
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Question # 5
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Question # 6
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none of these
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Question # 7
1+3x+6x2 +10x3 +....=
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(1+x)-3
(1-x)-2
(1-x)-3
(1+x)-2
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Question # 8
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cos 2x
2 cos 2x
2 sin2x
-2 cos2x
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Question # 9
p, q, r and s are integers. If the A.M. of the roots of x2- px + q2= 0 and G.M. of the roots of x2- rx + s2= 0 are equal, then
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q is an odd integer
r is an even integer
p is an even integer
s is an odd integer
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Question # 10
Range of cot
θ
is
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(+
∞
to -
∞
)
(-1 to +1)
(-5 to +5)
Set of even numbers only
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Question # 11
Each complex cube root of unity is square of
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itself
1
-1
the other
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Question # 12
Additive inverse of - a - b is
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a
-a + b
a - b
a + b
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Question # 13
Which of the following integrals can be evaluated
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Question # 14
If n is any positive integer then n! > n
2
for
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Question # 15
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Question # 16
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Question # 17
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Question # 18
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 # 19
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Question # 20
Φ
set is the ______ of all sets?
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Subset
Union
Universal
Intersection
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Question # 21
1.4142135... is ______
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A natural number
A rational number
A prime number
An irrational number
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Question # 22
If b
2
- 4ac = 0 then the roots of the equation are
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Real and distinct
Real and equal
Imaginary
None of these
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Question # 23
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y + 1 = Ae
x
y + 1 = Axe
x
xe
x
= C
y + xe
x
= C
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Question # 24
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quadrant I
quadrant II
quadrant III
quadrant IV
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Question # 25
cot
θ
= sin 2
θ
if
θ
=
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Question # 26
sin -1(sin2π/3) =
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π/2
2π/3
-3π/2
π/3
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Question # 27
In natural logarithm the base is
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1
0
10
e
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Question # 28
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Question # 29
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A
-
A
t
-A
A
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Question # 30
If the roots of ax
2
+ bx + c = 0 (a > 0) be greater than unity, then
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a + b + c = 0
a + b + c > 0
a + b + c < 0
None of these
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Question # 31
The fifth term of an A.P. Whose first term is 5 and common difference is 3,is
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20
17
25
30
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