ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

Union of the sets of rational and irrational numbers is called 6th set of

• Natural numbers A
• Real numbers B
• Whole numbers C
• Prime numbers D

• 
  A
• 1 B
• 
  C
• -1 D

• -8 A
• 8 B
• 8i C
• 32 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
• 
  B
• 
  C

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following sets has closure property w.r.t. addition

• { 0 } A
• { 1 } B
• { 0, -1} C
• { 1, -1} 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

• -3 -2i A
• 3 +2i B
• 1 + 2i C
• 1 - 2i D

i² = 

• 1 A
• 2 B
• -1 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

If Z = (1,2), then Z^-1= ?

• (0.2, 0.4) A
• (-0.2, 0.4) B
• (0.2, -0.4) C
• (-0.2, -0.4) D

In polar form of complex number r =

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If z₁ =√-36 ,z₂ =√-25,z3 =√-16 then

• 15 A
• 15i B
• -15i C
• -15 D

6 is

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

1/3 is ______

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

• 
  A
• 
  B
• 
  C
• 
  D

4/√49 is a

• Irrational Number A
• Prime Number B
• Rational number C
• Whole number D