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

π is the ration of

• Area of a circle to its diameter A
• Area of a circle to its radius B
• Circumference of a circle to its diameter C
• Circumference of circle to its radius D

Any whole number can be written as a product of factors which are

• Odd numbers A
• Prime number B
• Rational number C
• Even number D

The order axioms are satisfied by set of

• C A
• C and R B
• R C
• None of these D

Decimal part of irrational number is

• Terminating A
• Repeating only B
• Neither repeating nor terminating C
• Repeating and terminating D

• 
  A
• 
  B
• 
  C
• 
  D

6 is

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

If z₁ =√-36 ,z₂ =√-25,z3 =√-16 then

• 15 A
• 15i B
• -15i C
• -15 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

0.25 is ______

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

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

24 can be written as a product of

• Odd factors A
• Even factors B
• Whole factors C
• Prime factors D

The property used in -3 <-2 ⇒0 <1

• Commutative property A
• Additive property of inequality B
• Additive inverse 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

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

• 
  A
• 
  B
• 
  C
• 
  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

a >b ⇒a +c >b +c is known as

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

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

• One A
• Two B
• Three C
• Four 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
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

The negative square root of 9 can be written as:

• -√9 A
• √9 B
• √18 C
• -√18 D

2/9,5/7∈ R,(2│9)(5│7)=10/63∈R this property is called

• Associative property A
• Identity property B
• Commutative property C
• Closure property w.r.t multiplication D

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

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

(a +bi) -c (c +di) =

• (a +b) = (c +d) A
• (a +c) + i(b +d) B
• (a -c) + (c -d)i C
• (a -c) +(b -d) i D

If 4 > b or a < b than a = b is a

• Additive property A
• Transitive property B
• Trichotomy property of inequality C
• None of above D

1.4142135... is ______

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

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