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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Choose an answer
15
9
7
8
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Question # 2
A coin is tossed. If head comes up, a die is thrown but if tail comes up, the coin is tossed again. The probability of obtaining a head and an even number is
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1/8
2/8
3/8
None of these
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Question # 3
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0
3
9
-3
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Question # 4
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none of these
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Question # 5
sin
-1
[-1/2] = ______
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Question # 6
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 # 7
The set { 1 , -1} is closed w.r.t.
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Addition
Multiplications
Subtraction
None of these
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Question # 8
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Question # 9
∀x∈(a,b),f(x) is increasing if
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f′(x) >0
f′(x) <0
f′′(x) >0
f′′(x) =0
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Question # 10
If A is such that a,A,B are in A.P then A is called
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A.M
Common ratio
Common difference
None of these
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Question # 11
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0
-2
1
4
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Question # 12
If |a x b|2 + (a,b)2 = _____
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|a|2 + |b|2
|a|2- |b|2
|a|2|b|2
None
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Question # 13
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Question # 14
If b
2
- 4ac is positive then the roots of the equation are
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Real
Imaginary
Positive
Negative
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Question # 15
The equation of the tangent at vertex to the parabola is y2 = -8(x -3)
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y=0
x=3
x=1
x=5
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Question # 16
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Question # 17
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2x cos x2
-2xcosxsinx
2x Sin x2
-Sin x2
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Question # 18
The number of solution of the equation tan x + sec x = 2 cos x lying in the interval [0, 2
π
] is
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0
1
2
3
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Question # 19
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Question # 20
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π / 3
π / 4
π / 2
π
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Question # 21
Which one represents a sequence
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an
Sn
a(n)
{an}
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Question # 22
For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?
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3a2
2a2
2a
-7a
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Question # 23
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Question # 24
The numbers of G
1
, G
2
, G
3
...... G
n
are called n geometric means between a and b is a, G
1
, G
2,
G
3
, ... G
n
, b are in
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H.P.
A.P.
G.P.
None of these
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Question # 25
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0
90°
180°
360°
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Question # 26
u,v,wand u x (v.w) are
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Equal
Parallel
Additive immense of each other
Meaningless
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Question # 27
The term involving x4 the expansion (3-2x)7 is
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217 x4
15120x4
313x4
-25x4
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Question # 28
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Trichotomy property
Additive property of inequality
Transitive property
Multiplicative property
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Question # 29
A die is rolled. What is the probability that the dots on the top are greater than 4?
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1/4
1/2
1/3
1/33
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Question # 30
If k2x2 +2hxy- 4y2 =0 represents two perpendicular lines then
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k = 2
k = ±2
k = -2
k ≠0
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Question # 31
sin5θ+sin3θ = _______;
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2sin 4θ cosθ
2cos 4θ sinθ
2cos 4θ cosθ
-2sin 4θ sinθ
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