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

√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

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

Q∪ Q' =

• Q A
• Q' B
• N C
• R D

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

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

The set of rational number is represented by

• W A
• R B
• Q' C
• Q
  
  
  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
• 
  D

The set { 1 , -1} is closed w.r.t.

• Addition A
• Multiplications B
• Subtraction C
• None of these D

If z₁= 2 + 6i and z₂= 3 + 7i, then which expression defines the product of z₁and z₂?

• 36 + (-32)i A
• -36 + 32i B
• 6 + (-11)1 C
• 0, +(-12)i D

The multiplicative inverse of 4 is

• -4 A
• -1/4 B
• 1/4 C
• 1 D

(a-1)-1 =

• a-1 A
• a B
• -a C
• None of above D

If a set S contains n elements then P (S) has ........ number of elements

• 2ⁿ A
• 2ⁿ² B
• 2.n C
• n² D

• 
  A
• 
  B
• 
  C
• 
  D

In (x + iy) x is the known as

• Imaginary part of complex number A
• Real part of complex number B
• Complex number C
• None of above D

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

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

Every whole number is

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

Name the property used in a (b-c) = ab - ac

• commutative property of multiplication A
• distributive property of multiplication B
• associative property of multiplication C
• multiplicative inverse D

O is ______

• A positive integer A
• A negative integer B
• A natural number C
• An integer D

• Principle of equality of fractions A
• Rule for product of fractions B
• Golden rule for fractions C
• Rule for quotient of fractions D

(a,0) x (c, 0) =

• (0,ac) A
• (ac, 0) B
• (0,0) C
• (a, c) D

The value of i⁴ⁿ⁺¹

• 1 A
• -1 B
• i C
• i² D

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

• real part of z A
• imaginary part of z B
• conjugate of z C
• modulus of z 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

• 
  A
• 
  B
• 
  C

Every recurring decimal represents

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

i =

• √1 A
• √2 B
• √-2 C
• √-1 D

The symbol of irrational is

• W A
• N B
• Q C
• Q' D