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

Every real number is

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

• 
  A
• 
  B
• 
  C
• 
  D

• Set of whole number A
• Rational Numbers B
• Complex numbers C
• Whole numbers D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• Commutative law of multiplication A
• Multiplication identity B
• Associative law of multiplication C
• Multiplication inverse D

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

• Additive property in R A
• Multiplication property in R B
• Cancellation property in R C
• Distribution property in R D

• 
  A
• 
  B
• 
  C
• 
  D

• additive property A
• multiplicative property B
• additive inverse C
• additive identity D

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

The set of rationals numbers between 0 and I is

• Finite A
• Null set B
• Infinite C
• None of these 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

• 
  A
• 
  B
• 
  C
• 
  D

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

If z₁ =√-36 ,z₂ =√-25,z3 =√-16 then

• 15 A
• 15i B
• -15i C
• -15 D

The multiplicative inverse ofx^(-1) is

• x A
• a-2 B
• 0 C
• 1 D

14 is not a

• Prime number A
• Whole number B
• Even number C
• Real 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

• 
  A
• 
  B
• 
  C
• None of these D

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

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

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

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

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

√23 is

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

√2 is a number

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

For any real numbers x,y,xy=o ⇒

• x ≠ 0 ∧ y ≠ 0 A
• x = 0 ∨ y = 0 B
• x = 0 C
• y = 0 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