ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

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

∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a

• Symmetric property A
• Cancellation property w.r.t multiplication B
• Reflexive property C
• Transitive property D

O is ______

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

In (x + iy), y is called as

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

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

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

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

The identity element with respect to subtraction is

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

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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

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

∀x,y,z ∈ R and z 0,then

• x > y ⇒ xz > yz A
• x<y ⇒ xz < yz B
• x < y ⇒ xz > yz C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

i² = 

• 1 A
• 2 B
• -1 C
• 0 D

i is equal

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

• N A
• r B
• 2r C
• π D

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

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

If A = {x / x ∈ R ∧ x² - 16 = 0} then A =

• - x A
• Infinite set B
• Φ C
• {-4,4} D

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

1/3 is a decimal

• Recurring A
• Terminating B
• Non-terminating C
• None of the above 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

The sum of complex number (a,b) and (c,d) is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• (x, y) A
• (kx, y) B
• (x, ky) C
• (kx, ky) D

Name the property used in 100 + 0 = 100

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

In R, the multiplicative inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

• 
  A
• 
  B
• 
  C
• 
  D

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

• A natural number A
• A rational number B
• An irrational number C
• A whole number D

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D