ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 1 (Number System)

∀x, y ∈ R, either x = y or x > y or x < y is

• Transitive property A
• Reflexive property B
• Trichotomy property C
• None of these D

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

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

What is the conjugate of -6 -i

• -6 +i A
• 6 + i B
• -6 -i C
• 6 -i D

• 
  A
• 1 B
• -1 C
• 
  D

24 can be written as a product of

• Odd factors A
• Even factors B
• Whole factors C
• Prime factors D

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

The multiplicative inverse of (a,b) is

• 
  A
• 
  B
• 
  C
• 
  D

• A positive integer A
• A negative integer B
• A natural number C
• An irrational number D

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

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

The equation |x +4| = x has solution

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

The square root of every incomplete square is an

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

√11 is

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

a.a^-1 = a^-1.a = 1 is a

• Commutative law of multiplication A
• Multiplicative identity B
• Associative law of multiplication C
• Multiplicative inverse 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

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

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

i is equal

• (1 , 0) A
• (0 , 1) B
• (1 , 1) C
• (0 , 0) D

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

Every real number is

• A complex number A
• A rational number B
• A natural number C
• A prime number D

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

The additive inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

The order axioms are satisfied by set of

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

• 
  A
• 
  B
• 
  C
• 
  D

202.04 is an example of

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

• 
  A
• 
  B
• 
  C
• 
  D

What is the conjugate of -7 -2i?

• -7 + 2i A
• 7 + 2i B
• 7 -2i C
• None of these D

(a-1)-1 =

• a-1 A
• a B
• -a C
• None of above D

(7, 9) + (3, -5) =

• (4, 4) A
• (10, 4) B
• (9, -5) C
• (7, 3) D