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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The point _________ is in the solution of the inequality 2x + 3y < 5
Choose an answer
(1,1)
(2,2)
(0,1)
(0,2)
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Question # 2
The point ________ is in the solution of the inequality 2x - 3y > 5
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(1, -1)
(2,2)
(0,0)
(3,0)
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Question # 3
How many 3 digit numbers can be formed by using each one of the digit 2, 3, 5, 7, 9 only once?
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15
24
60
120
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Question # 4
A non-terminating, non-recurring decimal represent
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A natural number
A rational number
An irrational number
A prime number
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Question # 5
f(x) = 3x
4
-2x
2
+ 7 is:
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an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 6
Additive inverse of -a -b is
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a
-a + b
a - b
a + b
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Question # 7
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Question # 8
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Question # 9
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I
14 I
0
None of these
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Question # 10
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Symmetric
Skew-symmetric
Hermitian
Skew hermitian
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Question # 11
∀x,y∈R and x> 0 , y>0, if x > y
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None of these
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Question # 12
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Question # 13
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Principle of equality of fractions
Rule for product of fractions
Golden rule of fractions
Rule for quotient of fractions
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Question # 14
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Question # 15
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2x cos x2
2sinxcosx
- sin x2
2x sin x2
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Question # 16
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 # 17
If A = {x / x ∈ R ∧ x
2
- 16 = 0} then A =
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- x
Infinite set
Φ
{-4,4}
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Question # 18
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π / 3
π / 4
π / 6
0
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Question # 19
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100x
99
100x
101
-99x
99
-100x
101
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Question # 20
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ab=-1
ab = 1
ab = 2
None
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Question # 21
A die is thrown 100 times. If getting an odd number is considered a success, the variance of the number of successes is
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50
25
10
100
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Question # 22
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Question # 23
The centroid of a triangle divides each median in the ratio
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2 : 1
3 : 1
3 : 2
1 : 1
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Question # 24
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square root function
identity function
linear function
quadratic function
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Question # 25
The first three terms in the expansion of (1 - x)
-1
are
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1 + x + x
2
1 - x - x
2
-1 -x +x
2
1 - x + x
2
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Question # 26
If a,b c are sides of a triangle taken in order then a x b =
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b x c
b x a
cxa
Both a & b
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Question # 27
The point of concurrency of the medians of the ΔABC is called its
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Orthocenter
Centriod
Circumcentre
Incentre
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Question # 28
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A = C
A = B
B = C
None of these
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Question # 29
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none of these
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Question # 30
The series obtained by adding the terms of an arithmetic sequence is called the
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Infinite series
Harmonic series
Geometric series
Arithmetic series
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Question # 31
If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =
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5
{-3,-2,-1,0,1,2,3,4,5,6}
8
9
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