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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
The set of complex numbers forms a group under the binary operation of
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Addition
none of these
Division
Subtraction
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Question # 4
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4
6
8
10
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Question # 5
If distance between (a,2) and (0,0) is 2 then a = _______
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0
2
4
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Question # 6
n(n-1)(2n-1), for all natural numbers n, is divisible by
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12
6
2
18
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Question # 7
Domain of y = scs x is
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All real numbers except π/2 + n*π
R
All negative integers
None of these
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Question # 8
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Question # 9
Which of the following is a vector.
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work
time
density
electric field
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Question # 10
The line y= 4x +c touches the hyperbola x2- y2 =1 if and only if
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c =±√2
c =0
c=±√17
c=±√15
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Question # 11
The sum of the coefficient in the expansion of (a + x)
5
is
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32
16
8
5
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Question # 12
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2
x
2
x
In x
2
x
In 2
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Question # 13
(1, 2) is in the solution of the inequality
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2x + y > 8
2x + y
<
6
2x - y > 1
2x + 3y < 2
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Question # 14
202.04 is an example of
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Recurring decimals
Non-recurring decimals
Terminating decimals
None of these
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Question # 15
The multiplicative inverse of 1 is
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1
-1
0
Does not exist
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Question # 16
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Question # 17
The points (x, y) which satisfy a linear inequality in two variables x and y from its
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domain
range
solution
none of these
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Question # 18
The angle AOP which the ray from an observer's eye at O to an object at P at a lower level makes with horizontal ray OA through O is called the
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Angle of depression
Angle of elevation
Acute angle
Obtuse angle
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Question # 19
IfΔABC is right, law of cosine reduce to
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Law of sine
Law of tangent
Phthogorous theorem
Hero's formula
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Question # 20
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120
5
4
6
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Question # 21
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Question # 22
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[0, 0, 0]
[1, 0, 0]
[0, 1, 0]
[0, 0, 1]
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Question # 23
The central angle of an arc of a circle whose length is equal to the radius of the circle is called one
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Degree
Second
Minute
Radian
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Question # 24
π is ______
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A complex number
A rational number
A natural number
An irrational number
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Question # 25
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Question # 26
The set {x +iy / x, y ∈ Q} forms a group under the binary operation of
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Addition
Multiplication
Division
Both addition and multiplication
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Question # 27
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Question # 28
Point (2,0) lies on trigonometric function f(x)=______;
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sinx
cosx
tanx
secx
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Question # 29
A sequence is a functions whose domain is a subset of the set of
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Natural numbers
Real numbers
Whole numbers
Rational numbers
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Question # 30
The number of ways of arranging the letter AAAAA BBB CCC D EE F in a row when no two C's are together is
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Question # 31
For all points (x,y) in first quadrant
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x > 0 , y < 0
x > 0 , y > 0
x < 0 , y < 0
x < 0 , y > 0
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