ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

• Reflexive property A
• Symmetric property B
• Cancellations property w.r.t. addition C
• Transitive property 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

∀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

The√ is used for the

• Positive square root A
• Negative square root B
• +ve and -ve square root C
• Whole number D

i⁹ =

• i² A
• -1 B
• 1 C
• i 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

• Associative property of addition A
• Associative property of multiplication B
• Commutative property of addition C
• Commutative property of multiplication D

• 
  A
• 
  B
• 
  C
• 
  D

∀ z ∈ C, multipliucative is

• (1,1) A
• (1,0) B
• (0,1) C
• None of these D

i =

• 
  A
• 
  B
• 
  C
• 
  D

In (x +iy) y is called as

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

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

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

i^-(4n+2) = -------------------------------

• 1 A
• i B
• -1 C
• -i D

1/3 is ______

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

• 0 A
• 1 B
• -1 C
• None of these D

i² = 

• 1 A
• 2 B
• -1 C
• 0 D

Name the property used in 4.1 + (-4.1) = 0

• Additive inverse A
• Multiplication inverse B
• Additive identity C
• Multiplication identity D

√25 is a number

• Rational A
• Irrational B
• Natural C
• Odd D

6 is

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

• (x, y) A
• (kx, y) B
• (x, ky) C
• (kx, ky) D

In R the left cancellation property w.r.t addition is

• 
  A
• 
  B
• 
  C
• 
  D

The equation |x + 4| = x has solution

• x = -2 A
• x = 2 B
• x = -4 C
• x = 4 D

(a, b) + (-a, -b) =

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

• 
  A
• 
  B
• 
  C
• 
  D

The set of positive integers, 0 and negative integers is known as the set of

• Natural numbers A
• Rational numbers B
• All integers C
• Irrational numbers D

• 15 A
• 15 i B
• -15 i C
• -15 D

Every natural number is

• A prime number A
• An irrational number B
• An integer C
• An even number 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 = -i C
• x = 2, y = 2 D