ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

The set {1, 2, 3, 4, ....} is called

• Set of Natural numbers A
• Set of whole numbers B
• Set of rational number C
• Set of irrational numbers D

• 
  A
• 
  B
• 
  C
• 
  D

There is no element common in

• N and W A
• E and W B
• N and O C
• Q and Q' D

The square roots of negative numbers is called

• Real no A
• Complex no B
• Positive no C
• Negative no D

a.a^-1= a^-1.a = 1 is a

• Commutative law of multiplication A
• Multiplication identity B
• Associative law of multiplication C
• Multiplication inverse D

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

If z = (x,y) , then  z ̅  =

• (-x,y) A
• (x,-y) B
• (-x, -y) C
• None of these D

• Symmetric property A
• Cancellation property w.r.t. multiplication B
• Reflexive property C
• Transitive property D

If 0 = R, thenthe additive inverse of a is

• 1/9 A
• ^1/-9 B
• a C
• -a D

In R the number of identity elements w.r.t.'.' is

• One A
• Two B
• Three C
• Four D

The value of x and y when (x + iy)2 = 5 - 4i

• x = 2, y = -1 A
• x = -2, y = 1 B
• x = 2, y = -i C
• x = 2, y = 2 D

• 
  A
• 
  B
• 
  C
• 
  D

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

The additive identity of real number is

• 1 A
• 2 B
• 1/2 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

Every whole number is

• A real number A
• An irrational number B
• A prime number C
• A negative integer 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

Some of two real numbers is also a real number , this property is called:

• Commutative property w.r.t addition A
• Closure property w.r.t. addition B
• Associative property w.r.t. addition C
• Distributive property w.r.t addition D

• 
  A
• 
  B
• 
  C

Union of the sets of rational and irrational numbers is called 6th set of

• Natural numbers A
• Real numbers B
• Whole numbers C
• Prime numbers D

• Closure law of addition A
• Closure law of multiplication B
• Commutative law of addition C
• Commutative law of multiplication D

The multiplicative inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

3/4 is ______

• An odd number A
• An even number B
• A natural number C
• A rational number D

• 
  A
• 
  B
• 
  C
• 
  D
• 
  E

• A rational number A
• An irrational number B
• An odd number C
• A prime number 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 ε R, ab = be is a

• Commutative law of multiplication A
• Closure law of multiplication B
• Associative law of multiplication C
• Multiplicative identity D

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

√2 is a number

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