ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 1

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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

• a = a A
• a < a B
• a > a C
• a²= a D

∀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

3/4 is ______

• An odd number A
• An even number B
• A natural number C
• A rational number D

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

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

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

• (ac,bd) A
• (ac+bd, ad-bc) B
• (ac-bd , ad+bc) C
• (ac-bd , ad-bc) D

If P is a whole number greater than 1, which has only P and I are factors. Then P is called

• Wholw number A
• Prime number B
• Even number C
• Odd number D

Associative law of multiplication

• ab - ba A
• a(bc) = (ab) c B
• a(b + c) = ab +ac C
• (a +b)c = ac + bc D

• Additive property of inequality A
• Commutative property B
• Additive inverse C
• Additive identity D

If z₁= 2 + 6i and z₂= 3 + 7i, then which expression defines the product of z₁and z₂?

• 36 + (-32)i A
• -36 + 32i B
• 6 + (-11)1 C
• 0, +(-12)i D

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

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

i³ =

• -1 A
• i B
• -i C
• 1 D

• Principle of equality of fractions A
• Rule for product of fractions B
• Golden rule for fractions C
• Rule for quotient of fractions D

The solution set of the equation |3x + 2| = 5 is

• 
  A
• 
  B
• 
  C
• 
  D

The additive identity of real number is

• 1 A
• 2 B
• 1/2 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

i² =

• 1 A
• 2 B
• -1 C
• 0 D

Name the property used in a (b-c) = ab - ac

• commutative property of multiplication A
• distributive property of multiplication B
• associative property of multiplication C
• multiplicative inverse D

• 1 A
• -i B
• i C
• 0 D

∀x,y∈ R and x < 0, y < 0, which one is true 

• xy < o A
• xy = o B
• xy > o C
• None of these D

Multiplicative inverse of "1" is

• 0 A
• ±1 B
• 1 C
• {0,1} D

A prime number can be a factor of a square only if it occurs in the square at least

• Once A
• Thirce B
• Twice C
• None of these D

Any whole number can be written as a product of factors which are

• Odd numbers A
• Prime number B
• Rational number C
• Even number D

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

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

4/√49 is a

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

24 can be written as a product of

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

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

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

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

• (a + b)c = ac + bc A
• a + b = b + a B
• (a + b) + c = a + (b + c) C
• a(b +c) = ab + ac D

There is no element common in

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