ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

Associative law of multiplication

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

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

√11 is

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

√-1 b=

• b A
• 2 B
• 2b 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

i⁹ =

• i² A
• -1 B
• 1 C
• i D

Which of the following has the same value as i¹¹³?

• i A
• -1 B
• -i C
• 1 D

4/√49 is a

• Irrational Number A
• Prime Number B
• Rational number C
• Whole number D

The set of rationals numbers between 0 and I is

• Finite A
• Null set B
• Infinite C
• None of these 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 additive inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

√2 +√3 +√5) = (√2 +√3 +√5: this property is called

• associative property w.r.t addition A
• commutative property B
• Closure property w.r.t addition C
• Additive identity D

• 
  A
• 
  B
• 
  C
• 
  D

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

∀x,y∈R and x> 0 , y>0, if x > y

• 
  A
• 
  B
• 
  C
• None of these D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

(a,0) x (c, 0) =

• (0,ac) A
• (ac, 0) B
• (0,0) C
• (a, c) D

√2 is a number

• Rational A
• Irrational B
• Even C
• Odd 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 R the right cancellation property w.r.t. addition is

• 
  A
• 
  B
• 
  C
• 
  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

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

i³ =

• -1 A
• i B
• -i C
• 1 D

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

• Associative property of addition A
• Commutative property of addition B
• Distributive property C
• Additive identity D

QUQ, =

• N A
• R B
• W C
• Z D

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