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Mathematics ECAT Pre Engineering Chapter 1 Number System Online Test MCQs With Answers
Question # 1
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1
-1
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Question # 2
√2 +√3 +√5) = (√2 +√3 +√5: this property is called
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associative property w.r.t addition
commutative property
Closure property w.r.t addition
Additive identity
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Question # 3
The set { 1 , -1} is closed w.r.t.
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Addition
Multiplications
Subtraction
None of these
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Question # 4
The set of positive integers, 0 and negative integers is known as the set of
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Natural numbers
Rational numbers
All integers
Irrational numbers
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Question # 5
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Question # 6
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Principle of equality of fractions
Rule for product of fraction
Rule for quotient of fraction
Golden rule of fractions
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Question # 7
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Question # 8
In R, the multiplicative inverse of a is
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0
1
-a
1/a
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Question # 9
√-1 b=
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b
2
2b
None of these
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Question # 10
Every recurring decimal represents
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A natural number
A rational number
An irrational number
A whole number
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Question # 11
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A prime number
An integer
A whole number
An irrational number
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Question # 12
The decimal fraction in which we have finite number of digits in its decimal part is called.
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recurring decimal fraction
Non terminating faction
Non recurring fraction
terminating decimal fraction
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Question # 13
The multiplicative inverse ofx^(-1) is
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x
a-2
0
1
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Question # 14
The equation |x + 4| = x has solution
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x = -2
x = 2
x = -4
x = 4
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Question # 15
The value of i
4n+1
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1
-1
i
i
2
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Question # 16
(a,0) x (c,0) =
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(0,ac)
(ac,0)
(0,0)
(a,c)
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Question # 17
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Question # 18
In set builder notation the set {0,1,2,........100} can be written as
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{x / xε B ∧ x ≤ 100}
{x / x ∈ W ∧ x < 101}
{x / x ∈ Z ∧ x < 101}
The set of first 100 whole numbers
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Question # 19
3/2 is
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An irrational number
Whole number
A positive integer
A rational number
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Question # 20
Which element is the additive inverse of (a, b) in Complex numbers?
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(a, 0)
(0, b)
(a, b)
(-a, -b)
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Question # 21
Zero is
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An irrational number
A rational number
A negative integer
A positive number
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Question # 22
The set {1, 2, 3, 4, ....} is called
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Set of Natural numbers
Set of whole numbers
Set of rational number
Set of irrational numbers
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Question # 23
∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of
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Commutative law of addition
Associative law of addition
Additive identity
Additive inverse
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Question # 24
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Question # 25
∀x,y,z ∈ R and z 0,then
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x > y ⇒ xz > yz
x<y ⇒ xz < yz
x < y ⇒ xz > yz
None of these
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Question # 26
√25 is a number
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Rational
Irrational
Natural
Odd
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Question # 27
(a,0) x (c, 0) =
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(0,ac)
(ac, 0)
(0,0)
(a, c)
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Question # 28
The conjugate of √5
i
is
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√5
-√5 i
i
5i
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Question # 29
If z=(x,y) then z has no multiplicative inverse when
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x ≠ 0, y = 0
x = 0, y = 0
x = 0, y ≠ 0
None of these
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Question # 30
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Question # 31
(a, b) + (-a, -b) =
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(0,0)
(a, b)
(-a, -b)
(1, 1)
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