ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 1 (Number System)

The square root of every incomplete square is an

• Rational numbers A
• Even numbers B
• odd numbers C
• Irrational numbers D

√2 +√3 +√5) = (√2 +√3 +√5: this property is called

• associative property w.r.t addition A
• commutative property B
• Closure property w.r.t addition C
• Additive identity D

4/√49 is a

• Irrational Number A
• Prime Number B
• Rational number C
• Whole number D

∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of

• Commutative law of addition A
• Associative law of addition B
• Additive identity C
• Additive inverse D

√11 is

• an irrational number A
• Rational number B
• odd number C
• Negative number D

If Z₁= 1 + i, Z₂= 2+3i, then |Z₁- Z₂| = ?

• 
  A
• 
  B
• 
  C
• 
  D

If in a set of real no a is additive identity then

• a+a = 2a A
• a+a = 1 B
• a+a = 0 C
• None of these D

• A complex number A
• A rational number B
• A natural number C
• An irrational number D

√x = ______ if is a prime number

• Rational no A
• Natural no B
• Irrational no C
• Complex no D

• A rational number A
• A natural number B
• An irrational number C
• An integer D

The multiplicative inverse ofx^(-1) is

• x A
• a-2 B
• 0 C
• 1 D

• (x, y) A
• (kx, y) B
• (x, ky) C
• (kx, ky) D

If Z₁= 1 + i, Z₂= 2+3i, then |Z₂- Z₁| = ?

• 
  A
• 
  B
• 
  C
• 
  D

Every natural number is

• A prime number A
• An irrational number B
• An integer C
• An even number D

• Associative law of addition A
• Commutative law of addition B
• Additive identity C
• Closure law of addition D

• Principle of equality of fractions A
• Rule for product of fraction B
• Rule for quotient of fraction C

a >b ⇒a +c >b +c is known as

• Trichotomy property A
• Additive property of inequality B
• Transitive property C
• Multiplicative property D

(a,b) +(-a,-b) =

• (0,0) A
• (a,b) B
• (-a,-b) C
• (1,1) D

If P is a whole number greater than 1, which has only P and I are factors. Then P is called

• Wholw number A
• Prime number B
• Even number C
• Odd number D

The symbol of irrational is

• W A
• N B
• Q C
• Q' D

• 
  A
• 
  B
• 
  C
• 
  D

i¹⁰¹=

• i A
• i² B
• -i C
• -1 D

For each real number, there is a number which is its

• Negative A
• Possitive B
• Opposite C
• Similar D

If in a set of real no a is multiplicative identity then

• a,a = a² A
• a,a = 1 B
• a,a = 0 C
• None of these D

∀x,y∈R and x> 0 , y>0, if x > y

• 
  A
• 
  B
• 
  C
• None of these D

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

• Trichotomy property A
• Transitive property B
• Symmetric property C
• Additive property D

• Associative property of addition A
• Commutative property of addition B
• Distributive property C
• Additive identity D

Zero is

• An irrational number A
• A rational number B
• A negative integer C
• A positive number D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D