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

2/9,5/7∈ R,(2│9)(5│7)=10/63∈R this property is called

• Associative property A
• Identity property B
• Commutative property C
• Closure property w.r.t multiplication D

• 
  A
• 1 B
• -1 C
• 
  D

Multiplicative inverse of "1" is

• 0 A
• ±1 B
• 1 C
• {0,1} 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

• Principle of equality of Fractions A
• Rule for product of fraction B
• Golden rule of fraction C
• Rule of quotient of Fraction D

Every prime number is also

• Rational number A
• Even number B
• Irrational number C
• Multiple of two numbers D

i =

• 
  A
• 
  B
• 
  C
• 
  D

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

√2 is a number

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

(a +bi) -c (c +di) =

• (a +b) = (c +d) A
• (a +c) + i(b +d) B
• (a -c) + (c -d)i C
• (a -c) +(b -d) i D

In R the number of identity element w.r.t '+' is

• One A
• Two B
• Three C
• Four 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

Every prime number is also

• Rational number A
• Even number B
• Irrational number C
• Multiple of two numbers D

3/4 is ______

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

Which of the following has the same value as i¹¹³?

• i A
• -1 B
• -i C
• 1 D

O is ______

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

a >b ⇒a +c >b +c is known as

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

Some of two real numbers is also a real number , this property is called:

• Commutative property w.r.t addition A
• Closure property w.r.t. addition B
• Associative property w.r.t. addition C
• Distributive property w.r.t addition D

If a is any real number and a = a is called

• symmetric property A
• Trichotomy Properties B
• Transitive Property C
• Reflexive Properties D

The additive inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 0 D

6 is

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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