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

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

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

Every recurring decimal represents

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

Name the property used in 1000 x 1 = 1000

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

Every real number is

• a positive integer A
• a rational number B
• a negative integer C
• a complex number D

π is ______

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

a >b ⇒a +c >b +c is known as

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

The sum of complex number (a,b) and (c,d) is

• 
  A
• 
  B
• 
  C
• 
  D

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

• 2ⁿ A
• 2ⁿ² B
• 2.n C
• n² 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

The square root of 2i - 20i is

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

• 
  A
• 
  B
• 
  C
• 
  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 = -1 C
• X = 2, y = 2 D

In R, the multiplicative inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

Geometrically, the modulus of a complex number represents its distance from the

• Point (1, 0) A
• Point (0, 1) B
• Point (1, 1) C
• Point (0, 0) D

In R, the multiplicative identity is

• 0 A
• 1 B
• -1 C
• None D

• 1 A
• -1 B
• 
  C
• 
  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

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

The conjugate of √5 i is

• √5 A
• -√5 i B
• i C
• 5i D

Every prime number is also

• Rational number A
• Even number B
• Irrational number C
• Multiple of two numbers D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

14 is not a

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

∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a

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

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

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