ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

• 1 A
• -1 B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

∀x, y ∈ R, either x = y or x > y or x < y is

• Transitive property A
• Reflexive property B
• Trichotomy property C
• None of these D

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

The square root of 2i - 20i is

• +-(5 - 2i) A
• +-(5 + 2i) B
• (5 - 2i) C
• None of these D

√25 is a number

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

• (a + b)c = ac + bc A
• a + b = b + a B
• (a + b) + c = a + (b + c) C
• a(b +c) = ab + ac D

• 
  A
• 
  B
• 
  C
• 
  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

For any real numbers x,y,xy=o ⇒

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

∀a,b ε R, ab = be is a

• Commutative law of multiplication A
• Closure law of multiplication B
• Associative law of multiplication C
• Multiplicative identity D

The multiplicative inverse of (a,b) is

• 
  A
• 
  B
• 
  C
• 
  D

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

1/3 is a decimal

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

In R, the multiplicative inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

QUQ, =

• N A
• R B
• W C
• Z D

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

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

1.4142135... is ______

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

• 
  A
• 
  B
• 
  C
• 
  D

The set {0,-1} hold closure property under

• Addition A
• Both a & c B
• Multiplication 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

Multiplicative inverse of "1" is

• 0 A
• ±1 B
• 1 C
• {0,1} D

Multiplicative inverse of 0 is

• 0 A
• 1 B
• ±1 C
• Does not exist 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

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

O is ______

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

6 is

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

The additive inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

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

The real number system contains.

• Positive Numbers A
• Negative numbers B
• Zero C
• (option a, b and c) D