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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
5 unbiased coins coins are tossed simultaneously. The probability of getting at least one head is
Choose an answer
1 / 32
31 / 32
1 / 16
None of these
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Question # 2
When we expand (a + 2b)
5
then
Choose an answer
a
5
+ 10a
4
b + 40a
3
b
2
+ 80a
2
b
3
+ 80ab
4
+ 32b
5
a
5
+ a
4
b + a
3
b
2
+ a
2
b
3
+ ab
4
+ b
5
5a
5
+ 4a
4
b + 3a
3
b
2
+ 2a
2
b
3
+ 1 ab
4
+ b
5
None
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Question # 3
The exact value of cos-1 (0) is
Choose an answer
π/2
-π/2
3π
π-π/6
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Question # 4
The equation |x + 4| = x has solution
Choose an answer
x = -2
x = 2
x = -4
x = 4
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Question # 5
r + 3 >5 then which is true
Choose an answer
r + 2 > 4
r + 2 < 4
r + 2 = 4
None
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Question # 6
Choose an answer
cos 2x
2 cos 2x
2 sin2x
-2 cos2x
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Question # 7
Period of Tangent function is
Choose an answer
0°
-
π
π
2
π
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Question # 8
The point ________ is in the solution of the inequality 4x - 3y < 2
Choose an answer
(0,1)
(2,1)
(2,2)
(3,3)
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Question # 9
If you are looking a bird in the tree from the ground then the angle formed is called angle of______;
Choose an answer
Elevation
Depression
Right angle
None of these
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Question # 10
(√3+√5)+√7 = √3 +(√5 +√7) property used in above is
Choose an answer
Commutative property of addition
Closure property of addition
Additive inverse
Associative property w.r.t to adition
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Question # 11
1
0
= ______
Choose an answer
360'
60"
60'
3600'
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Question # 12
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 # 13
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Question # 14
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Question # 15
An integer is chosen at random from the number ranging from 1 to 50. the probability that the integer chosen is a multiple of 2 or 3 or 10 is
Choose an answer
3 / 10
5 / 10
7 / 10
9 / 10
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Question # 16
The key for opening a door is in a bunch of 10 keys. A man attempts to open the door by trying the keys at random discarding the wrong key. The probability that the door is opened in the 5th trial is
Choose an answer
1 / 10
2 / 10
3 / 10
4 / 10
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Question # 17
A conjunction of two statement p and q is true only if
Choose an answer
p is true
q is true
Both p and q are true
both p and q are false
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Question # 18
(x
3
-1/2x)
6
is
Choose an answer
15/16 x
2
2/13 x
2
17/7 x
2
16/15 x
2
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Question # 19
The interval in which f(x)=x3-6x2+9x is increasing
Choose an answer
1<x<3
x<1 and x>3
X ≥1 and x ≤ 3
-∞ < x < ∞
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Question # 20
The period of the function f(x) = sin
4
x + cos
4
x is
Choose an answer
π
π
/2
2
π
None of these
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Question # 21
Choose an answer
image
pre-image
constant
none of these
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Question # 22
Choose an answer
0
1
2
none of these
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Question # 23
A function whose range is just one element is called
Choose an answer
One-one function
Constant function
Onto function
Identity function
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Question # 24
The principal value of sin-1√(3/2) is
Choose an answer
-π/3
π/3
2π/3
π/2
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Question # 25
What is the number of elements of the power set of {0, 1}
Choose an answer
1
2
3
4
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Question # 26
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Question # 27
If the domain of sequence is finite set then the sequence is called
Choose an answer
geometric sequence
infinite sequence
finite sequence
arithmetic sequence
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Question # 28
Which of the following is a scalar
Choose an answer
weight
force
speed
momentum
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Question # 29
Choose an answer
none of these
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Question # 30
If f(x) = (-x)
2
then f(-2) is
Choose an answer
0
2
-4
4
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Question # 31
6 is
Choose an answer
A prime integar
An irrational number
A rational number
An odd integer
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