ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

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

Which element is the additive inverse of (a, b) in Complex numbers?

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

√11 is

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

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

i² =

• 1 A
• 2 B
• -1 C
• 0 D

a >b ⇒a +c >b +c is known as

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

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

i is equal

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

• 
  A
• 1 B
• 
  C
• -1 D

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

• One A
• Two B
• Three C
• Four D

Every real number is

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

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

• 1 A
• 3 B
• 2-i C
• -1 D

Name the property used in 4 x (5 x 8) = ( 4 x 5) x 8

• Associative property of addition A
• Associative property of multiplication B
• Additive identity C
• Multiplicative identity D

• 
  A
• 
  B
• 
  C
• 
  D

Additive inverse of - a - b is

• a A
• -a + b B
• a - b C
• a + b D

• Associative property of addition A
• Associative property of multiplication B
• Commutative property of addition C
• Commutative property of multiplication D

• 
  A
• 
  B
• 
  C
• 
  D

Every real number is

• a positive integer A
• a rational number B
• a negative integer C
• a complex number 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

The additive inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 0 D

The value of i⁴ⁿ⁺¹

• 1 A
• -1 B
• i C
• i² D

Every natural number is

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

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

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

What is the conjugate of -6 -i

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

The negative square root of 9 can be written as:

• -√9 A
• √9 B
• √18 C
• -√18 D

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

If Z₁= 1 + i, Z₂= 2+3i, then |Z₁- Z₂| = ?

• 
  A
• 
  B
• 
  C
• 
  D

• x A
• 
  B
• y C
• 
  D