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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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P(A) + P(B)
P(A) - P(B)
P(A) . P(B)
P(A) / P(B)
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Question # 2
For any integer k, w
n
= ______ when n = 3k
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1
2
0
-4
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Question # 3
The exact degree value of the function sin-1( -√3/2) is
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70
ο
50
ο
90
ο
60
ο
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Question # 4
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Question # 5
If x = 1/x for x ∈ R then the value of x is
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±1
0
2
4
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Question # 6
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Symmetric property
Cancellation property w.r.t. multiplication
Reflexive property
Transitive property
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Question # 7
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 # 8
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0
-1
1/2
1
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Question # 9
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A
A'
U
None of these
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Question # 10
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0
90°
180°
360°
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Question # 11
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Associative law of addition
Commutative law of addition
Additive identity
Closure law of addition
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Question # 12
1
0
= ______
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1.5 rad
0.5 rad
0.175 rad
None of these
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Question # 13
If P, Q, R be the A.M., G.M., H.M. respectively between any two rational numbers a and b, then P - Q is
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Question # 14
∫x/Sin
2
x dx is equal to:
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x cot x + ln|sinx |
-x cot x - ln|sinx |
x cot x - ln|sinx |
x. tan x- ln|secx |
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Question # 15
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additive property
multiplicative property
additive identity
multiplicative identity
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Question # 16
If a and b are real numbers then a+b is also real number this law is called
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associative law of addition
closure law of addition
Distributive law of addition
Commutative law of addition
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Question # 17
If two balls are drawn from a bag containing 3 white, 4 black and 5 red balls. Then the probability that the drawn balls are of different colours is
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1 / 66
3 / 66
19 / 66
47 / 66
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Question # 18
In a country, 55% of the male population has houses in cities while 30% have houses both in cities and in village. Find the percentage of the population that has house only in villages.
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45
30
25
50
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Question # 19
If a,b,c are unit vectors then |a + b|2 +|a - b|2
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4
8ab
9cos
4(a,b)
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Question # 20
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Question # 21
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Question # 22
The coefficient of the third term of (8a-b)
1/3
, after simplification is
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-228
1/288
1/220
-1/177
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Question # 23
In the expansion of (a + x)
n
the general term T
r + 1
is
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Question # 24
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Question # 25
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Question # 26
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Question # 27
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Question # 28
x = secθ,y = tanθ are the parametric equations of
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Circle
Hyperbola
Ellipse
parabola
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Question # 29
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30°
45°
60°
90°
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Question # 30
If f(x) = -x
2
then f(-2) is
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-2
2
-4
4
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Question # 31
If sin (
π
cos
θ
) = cos (
π
sin
θ
), then which of the following is correct?
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