ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

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

√25 is a number

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

∀a,b, c ε R,a +c = b + c = > a = b

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

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

The additive inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

What is the conjugate of -6 -i

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

For each real number, there is a number which is its

• Negative A
• Possitive B
• Opposite C
• Similar D

The set of positive integers, 0 and negative integers is known as the set of

• Natural numbers A
• Rational numbers B
• All integers C
• Irrational numbers D

• 
  A
• 
  B
• 
  C
• 
  D

• 15 A
• 15 i B
• -15 i C
• -15 D

• 
  A
• 
  B
• 
  C
• 
  D

Every irrational number is

• A real number A
• A prime number B
• A natural number C
• An integer 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

In (x + iy), y is called as

• Imaginary part A
• Complex number B
• Real part C
• None of above D

The negative square root of 9 can be written as:

• -√9 A
• √9 B
• √18 C
• -√18 D

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

The identity element with respect to subtraction is

• 0 A
• -1 B
• 0 and 1 C
• None of thes D

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

∀x,y∈R and x> 0 , y>0, if x > y

• 
  A
• 
  B
• 
  C
• None of these D

In R, the additive identity is

• 0 A
• 1 B
• -1 C
• None 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

The value of x and y when (x + iy)2 = 5 - 4i

• x = 2, y = -1 A
• x = -2, y = 1 B
• x = 2, y = -i C
• x = 2, y = 2 D

QUQ'

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of 4 is

• -4 A
• -1/4 B
• 1/4 C
• 1 D

• 
  A
• 
  B
• 
  C
• 
  D

Multiplicative inverse of "1" is

• 0 A
• ±1 B
• 1 C
• {0,1} D

Which of the following sets has closure property w.r.t. addition

• { 0 } A
• { 1 } B
• { 0, -1} C
• { 1, -1} D

Multiplicative inverse of 0 is

• 0 A
• 1 B
• ±1 C
• Does not exist 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