ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

The real number system contains.

• Positive Numbers A
• Negative numbers B
• Zero C
• (option a, b and c) D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

∀x,y,z ∈ R and z 0,then

• x > y ⇒ xz > yz A
• x<y ⇒ xz < yz B
• x < y ⇒ xz > yz C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

A subset of set of complex number whose elements are of the form (a,0) is called

• Real number A
• Complex number B
• Rational number C
• Irrational number D

• 15 A
• 15 i B
• -15 i C
• -15 D

• 
  A
• 
  B
• 
  C
• 
  D

If Z₁= 1 + i, Z₂= 2+3i, then |Z₂- Z₁| = ?

• 
  A
• 
  B
• 
  C
• 
  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

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
• 
  C
• 
  D

The multiplicative inverse of (a,b) is

• 
  A
• 
  B
• 
  C
• 
  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

There is no element common in

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

• 0 A
• 1 B
• -1 C
• None of these D

0.25 is ______

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

• 
  A
• 
  B
• 
  C
• 
  D

The set of natural no. is closed under

• multiplication A
• subtraction B
• difference C
• division D

The square root of 2i - 20i is

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The property used in -3 <-2 ⇒0 <1

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

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

• Additive property in R A
• Multiplication property in R B
• Cancellation property in R C
• Distribution property in R D

• 
  A
• 
  B
• 
  C
• 
  D

√23 is

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

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

• One A
• Two B
• Three C
• Four D

• 
  A
• 
  B
• 
  C
• 
  D