ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

√23 is

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

6 is

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 3 B
• 2-i C
• -1 D

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

• 
  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

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

It is not possible to find the exact value of

• π A
• √9 B
• ∛27 C
• √1 D

• 
  A
• 
  B
• 
  C
• 
  D

The additive inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

Which element is the additive inverse of (a, b) in Complex numbers?

• (a, 0) A
• (0, b) B
• (a, b) C
• (-a, -b) D

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

202.04 is an example of

• Recurring decimals A
• Non-recurring decimals B
• Terminating decimals C
• None of above D

Name the property used in 4 x (5 x 8) = ( 4 x 5) x 8

• Associative property of addition A
• Associative property of multiplication B
• Additive identity C
• Multiplicative identity D

• 
  A
• 
  B
• 
  C
• 
  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

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

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following has the same value as i¹¹³?

• i A
• -1 B
• -i C
• 1 D

The decimal fraction in which we have finite number of digits in its decimal part is called.

• recurring decimal fraction A
• Non terminating faction B
• Non recurring fraction C
• terminating decimal fraction 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

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

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

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

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

Rational number is a number which can be written as a terminating decimal fraction or a

• Non-terminating decimal fraction A
• Non-recurring B
• Recurring decimal fraction C
• a, b and c D

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

The set of rational number is represented by

• W A
• R B
• Q' C
• Q
  
  
  D