ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

Every natural number is

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

i³=

• -1 A
• i B
• -i C
• 1 D

(√3+√5)+√7 = √3 +(√5 +√7) property used in above is

• Commutative property of addition A
• Closure property of addition B
• Additive inverse C
• Associative property w.r.t to adition D

• A rational number A
• An irrational number B
• An odd number C
• A prime number D

√11 is

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

• -8 A
• 8 B
• 8i C
• 32 D

i¹⁰¹ =

• i A
• i² B
• -i C
• -1 D

The real number system contains.

• Positive Numbers A
• Negative numbers B
• Zero C
• (option a, b and c) D

• 
  A
• 
  B
• 
  C
• 
  D

The square root of 2i - 20i is

• ±(5 - 2i) A
• ±(5+ 2i) B
• (5 - 2i) C
• None of these D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

6 is

• A prime integer A
• An irrational number B
• A rational number C
• An odd integer D

• Additive property of inequality A
• Commutative property B
• Additive inverse C
• Additive identity D

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

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

• √5 A
• √7 B
• -1-2i C
• √3 D

i¹⁰¹=

• i A
• i² B
• -i C
• -1 D

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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

Q∪ Q' =

• Q A
• Q' B
• N C
• R D

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

• 
  A
• 
  B
• 
  C
• 
  D

If z=(x,y) then z has no multiplicative inverse when

• x ≠ 0, y = 0 A
• x = 0, y = 0 B
• x = 0, y ≠ 0 C
• None of these D

In R the left cancellation property w.r.t addition is

• 
  A
• 
  B
• 
  C
• 
  D

(7,9) +(3,-5) =

• (4,4) A
• (10,4) B
• (9,-5) C
• (7,3) D

• a = a A
• a < a B
• a > a C
• a²= a D

• 
  A
• 
  B
• 
  C
• 
  D

(7, 9) + (3, -5) =

• (4, 4) A
• (10, 4) B
• (9, -5) C
• (7, 3) D

• z is purely imaginary A
• a is any complex number B
• z is real C
• None of these D

∀x,y∈ R and x < 0, y < 0, which one is true 

• xy < o A
• xy = o B
• xy > o C
• None of these D

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

• 
  A
• 
  B
• 
  C
• 
  D