ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

√11 is

• an irrational number A
• Rational number B
• odd number C
• Negative number D

i⁹ =

• i² A
• -1 B
• 1 C
• i D

There is no element common in

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

The symbol of irrational is

• W A
• N B
• Q C
• Q' D

• 
  A
• 
  B
• 
  C

In set builder notation the set {0,1,2,........100} can be written as

• {x / xε B ∧ x ≤ 100} A
• {x / x ∈ W ∧ x < 101} B
• {x / x ∈ Z ∧ x < 101} C
• The set of first 100 whole numbers D

• are real no A
• both are not real B
• are imaginary no C
• both are imaginary D

What is the conjugate of -6 -i?

• -6 +i A
• 6+i B
• -6 -i C
• 6 -i D

4/√49 is a

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

• Commutative property of addition A
• Closure property of addition B
• Additive inverse C
• Associative property w.r.t. to addition 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

A non-terminating, non-recurring decimal represent

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

• 
  A
• 
  B
• 
  C
• 
  D

• Symmetric property A
• Cancellation property w.r.t. multiplication B
• Reflexive property C
• Transitive property D

• real number A
• complex number B
• rational number C
• irrational number D

The additive identity of real number is

• 1 A
• 2 B
• 1/2 C
• 0 D

The order axioms are satisfied by set of

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

The square root of every incomplete square is an

• Rational numbers A
• Even numbers B
• odd numbers C
• Irrational numbers 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

1/3 is ______

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

i² =

• 1 A
• 2 B
• -1 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• real part of z A
• imaginary part of z B
• conjugate of z C
• modulus of z D

What is the conjugate of -7 -2i ?

• -7 + 2i A
• 7 +2i B
• 7 -2i C
• √53 D

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

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

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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

The set {0,-1} hold closure property under

• Addition A
• Both a & c B
• Multiplication C
• None of these D