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

Which of the following sets has closure property w.r.t. addition

• { 0 } A
• { 1 } B
• { 0, -1} C
• { 1, -1} D

The equation |x +4| = x has solution

• x = -2 A
• x = 2 B
• x = -4 C
• x = 4 D

If a is any real number and a = a is called

• symmetric property A
• Trichotomy Properties B
• Transitive Property C
• Reflexive Properties D

• A rational number A
• A irrational number B
• An even integer C
• A factor of 36 D

• 
  A
• 
  B
• 
  C
• None of these D

If a and b are real numbers then a+b is also real number this law is called

• associative law of addition A
• closure law of addition B
• Distributive law of addition C
• Commutative law of addition D

i³ =

• -1 A
• i B
• -i C
• 1 D

• -8 A
• 8 B
• 8i C
• 32 D

Every irrational number is

• A real number A
• A prime number B
• A natural number C
• An integer D

∀a,b,c∈R and c>0,then

• a>b ⇒ ac < bc A
• a>b ⇒ ac > bc B
• a<b ⇒ ac > bc C
• None of these D

• Set of whole number A
• Rational Numbers B
• Complex numbers C
• Whole numbers D

The product of complex numbers (a,b) and (c,d) is

• (ac, bd) A
• (ac-bd, ad+bc) B
• (ab,cd) C
• (ac+bd,ad-bc) D

• 
  A
• 
  B
• 
  C
• 
  D

14 is not a

• Prime number A
• Whole number B
• Even number C
• Real number D

Which element is the additive inverse of (a, b) in Complex numbers?

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

• 1 A
• -i B
• i C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

i² = 

• 1 A
• 2 B
• -1 C
• 0 D

• Rational A
• Irrational B
• Even C
• Odd D

• 
  A
• 
  B
• 
  C
• 
  D

The symbol of irrational is

• W A
• N B
• Q C
• Q' D

• additive property A
• multiplicative property B
• additive inverse C
• additive identity D

√23 is

• A rational number A
• A irrational number B
• An even integer C
• A factor of 36 D

i^-(4n+2) = -------------------------------

• 1 A
• i B
• -1 C
• -i D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 1 B
• -1 C
• 
  D

√(-1b) =?

• b i A
• -i b B
• b2 C
• i√b D

In R, the multiplicative inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D